Contentsmrunderwood.com/Classwork and Homework/Course 2 TAKS Practice... · Contents Student Notes iv ... As you complete the review and practice pages for TAKS Objective 1, ... subtraction,

iii

ContentsStudent Notes iv–vii

TAKS Objective 1 • Numbers, Operations, and Quantitative Reasoning 1–22TEKS 7.1.A, 7.1.B, 7.1.C, 7.2.A, 7.2.B, 7.2.C, 7.2.D, 7.2.E, 7.2.F, 7.2.G

TAKS Objective 2 • Patterns, Relationships, and Algebraic Reasoning 23–38TEKS 7.3.A, 7.3.B, 7.4.A, 7.4.B, 7.4.C, 7.5.A, 7.5.B

TAKS Objective 3 • Geometry and Spatial Reasoning 39–58TEKS 7.6.A, 7.6.B, 7.6.C, 7.6.D, 7.7.A, 7.7.B, 7.8.A, 7.8.B, 7.8.C

TAKS Objective 4 • Measurement 59–66TEKS 7.9.A, 7.9.B, 7.9.C

TAKS Objective 5 • Probability and Statistics 67–78TEKS 7.10.A, 7.11.A, 7.11.B, 7.12.A, 7.12.B

TAKS Objective 6 • Processes and Tools Used in Problem Solving 79–92TEKS 7.13.A, 7.13.B, 7.13.C, 7.14.A, 7.15.A, 7.15.B

Mathematics Chart 93–94

Practice Test Answer Sheets 95–96

Practice Test A 97–114

Practice Test A (Spanish) 115–132

Practice Test B 133–150

Practice Test B (Spanish) 151–168

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Student NotesAcademic Vocabulary

TAKS Objectives Review and PracticeGrade 7 TAKS Testiv

TAKS

Action Words in Mathematicscalculate evaluatedetermine generateapproximate estimatedescribe representprove disprovecompare contrastverify supportsimplify model

Quantities and Comparisonsgreater than less thanmore than fewer thanat least at mostclosest to farthest fromgreatest leastwider narrowermaximum minimumdifferent sameincrease decreaseinside outsidewithin beyonddouble halvetriple quadruple

Measurementconvert conversionunits dimensionslength heightwidth depthperimeter circumferencearea square unitsvolume cubic unitssurface area lateral surface areaaltitude sea levelelapsed time degreesscientific notation approximation

Numberwhole number integerpositive negativeconsecutive multiplefactor common factorsdivisor divisibleprime number prime factorizationcommutative associativedistributive property cross productsproduct quotient

Ratio and Proportionratio fractionnumerator denominatorproportion proportionalpart wholemeans extremesscale factor scale drawingsimilar similarity

Rate and Changerate perspeed velocityrise runslope direct variation

Percent and Moneypercent increase percent decreasetax discountamount balancegross income netprincipal interest

Knowing the meanings of the words and phrases below will help you read and understand TAKS test questions. You may want to copy these words into a notebook and write definitions for them or give examples of how they are used in mathematics. When you learn new words, add them to your notebook.

Student NotesAcademic Vocabulary

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Student NotesAcademic Vocabulary v

TAKS Objectives Review and PracticeGrade 7 TAKS Test

TAKS

Graphing and Coordinate Planeaxis, axes quadrantordered pair coordinatesorigin scatterplotx-intercept y-interceptendpoint midpointgraph plotindependent quantity dependent quantitydomain range

Algebraexpression termvariable coefficientvalue substituteequivalent equalitypower baseexponent solutionequation inequalitysystem of equations system of inequalitiesroot of an equation zero of a function

Geometrytriangle triangularrectangle rectangularcylinder cylindricalcone conicvertex edgeface diagonalsegment polygonsquare trapezoidrhombus parallelogrampentagon hexagoncircle sphereperpendicular parallelopposite adjacentbase heightslant height radiusnet views of a solidacute angle obtuse angleright angle isoscelesscalene equilateralcomplementary angles supplementary anglescongruent congruence

Transformationstranslate translationreflect reflectiondilate dilationenlarge enlargementreduce reductionoriginal imagesymmetry line of symmetry

Probabilitychances oddstheoretical experimentaloutcome eventdependent events independent eventsrandomly chosen replacement

Data and Statisticsmean averagemedian modeline graph circle graphbar graph histogramfrequency frequency tablebox-and-whisker plot outlierextreme quartile

Other Terms and Phrasesvalid invalidconsists of in terms ofsupports contradictssatisfies does not satisfypattern term in a sequencemethod procedurediagram displayrespectively cannot be determined

Student NotesAcademic Vocabulary (continued)

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Student NotesVisual Formulas

TAKS Objectives Review and PracticeGrade 7 TAKS Testvi

TAKS

Perimeter

ss

s

s

square

P 5 4s

w

l

l

w

rectangle

P 5 2 1 2w or P 5 2( 1 w)

Circles

dr

radius diameter

r d 5 2r

r r

circumference area

C 5 2p r or C 5 pd A 5 p r 2

p ø 3.14 or p ø 22}7

Area

ss

s

s

square

A 5 4s2

w

l

rectangle

A 5 w

h

b

triangle

A 5 1}2 bh or A 5

bh}2

h

b

parallelogram

A 5 bh

h

b2

b1

trapezoid

A 5 1}2 (b1 1 b2)h or A 5

(b1 1 b2)h}

2

Student NotesVisual Formulas

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Student NotesVisual Formulas vii


TAKS Student NotesVisual Formulas (continued)

Pythagorean Theorem

ca

b

a 2 1 b 2 5 c 2

Surface Area

s

s

r

s

cube sphere

S 5 6s 2 S 5 4p r 2

h

r

cylinder

lateral area ofarea bases

S 5 2p rh 1 2p r 2

orS 5 2p r (h 1 r)

h l

r

cone

lateral area ofarea base

S 5 p r 1 p r 2

orS 5 p r ( 1 r)

Volume

s

s

r

s

cube sphere

V 5 s3 V 5 4}3 p r 3

h

wl

prism

V 5 Bh or V 5 wh

h

r

cylinder

V 5 Bh or V 5 p r 2h

h

lw

pyramid

V 5 1}3 Bh or V 5

1}3 wh

h l

r

cone

V 5 1}3 Bh or V 5

1}3 p r 2h

B represents the area of the Base of a solid figure.

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TAKS Objective 1TEKS Tracker 1

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As you complete the review and practice pages for TAKS Objective 1, check off the boxes next to the TEKS you have covered below.

Objective 1The student will demonstrate an understanding of numbers, operations, and quantitative reasoning.

Pages Tracker TEKS

7.1 Number, operation, and quantitative reasoning. The student represents and uses numbers in a variety of equivalent forms. The student is expected to:

2–3 h 7.1.A compare and order integers and positive rational numbers

4–5 h 7.1.B convert between fractions, decimals, whole numbers, and percents mentally, on paper, or with a calculator

6–7 h 7.1.C represent squares and square roots using geometric models

7.2 Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, or divides to solve problems and justify solutions. The student is expected to:

8–9 h 7.2.A represent multiplication and division situations involving fractions and decimals with models, including concrete objects, pictures, words, and numbers

10–11 h 7.2.B use addition, subtraction, multiplication, and division to solve problems involving fractions and decimals

12–13 h 7.2.C use models, such as concrete objects, pictorial models, and number lines, to add, subtract, multiply, and divide integers and connect the actions to algorithms

14–15 h 7.2.D use division to find unit rates and ratios in proportional relationships such as speed, density, price, recipes, and student-teacher ratio

16–17 h 7.2.E simplify numerical expressions involving order of operations and exponents

18–19 h 7.2.F select and use appropriate operations to solve problems and justify the selections

20–21 h 7.2.G determine the reasonableness of a solution to a problem

22 h Objective 1 Mixed Review

Objective 1TEKS Tracker

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TAKS Objective 1TEKS 7.1.A Review

TAKS Objectives Review and PracticeGrade 7 TAKS Test2

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7.1.A When comparing and ordering fractions, express each fractionwith the same denominator. Then compare their numerators.

When comparing and ordering fractions, express each fraction with the same denominator. Then compare their numerators.

Objective 1TEKS 7.1.A Review

If you were very hungry, would you rather have 3}4,

2}3, or

3}5 of a pizza?

STEP 1 Find the least common denominator.The denominators are 4, 3, and 5.Factor the denominators: 2 2, 3, 5.LCD 5 2 2 3 5 5 60

STEP 2 Rewrite each fraction using the LCD.

3}4

5 3}4

15}15

5 45}60

2}3

5 2}3

20}20

5 40}60

3}5 5

3}5

12}12

5 36}60

STEP 3 Compare the numerators in the fractions.

36}60

< 40}60

< 45}60

so 3}5 <

2}3 <

3}4

If you were very hungry, you might prefer 3}4 of a pizza.

EXAMPLE

If you were very hungry, would you rather have 5}8,

5}6, or

2}3 of a pizza?

STEP 1 The denominators are ______________________.

Factor the denominators: ___________________

LCD 5 ________________________________

STEP 2 Rewrite each fraction using the LCD.

5}8

5 5}6

5 2}3

5

STEP 3 Compare the numerators in the fractions. Write them in order.

< < so < <

If you were very hungry, you might prefer of a pizza.

YOU DO IT

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TAKS Objective 1TEKS 7.1.A Practice 3

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1. Which is less flour, 7}8,

4}5,

3}4, or

5}6 cup?

A 7}8 B

4}5 C

3}4 D

5}6

2. Nate made errors on 2}5 of his quiz, on

3}8

of his homework, on 1}4 of his test, and on

3}10

of his project. On which did he do best?

F Quiz

G Homework

H Test

J Project

3. Organize the following nail lengths (given in inches) in order from least to greatest.

13}8

, 7}4,

7}2,

15}16

A 7}2,

7}4,

13}8

, 15}16

B 7}4,

7}2,

13}8

, 15}16

C 15}16

, 13}8

, 7}4,

7}2

D 15}16

, 7}4,

13}8

, 7}2

4. Organize the following board widths (given in inches) in order from least to greatest.

15}4

, 7}8,

9}2,

3}4,

21}16

F 3}4,

7}8,

21}16

, 9}2,

15}4

G 21}16

, 15}4

, 9}2,

7}8,

3}4

H 3}4,

7}8,

21}16

, 15}4

, 9}2

J 21}16

, 7}8,

3}4,

15}4

, 9}2

5. List the following tolerances (given in millimeters) in order from least to greatest.

5}6,

6}11

, 2}3,

35}66

, 13}22

A 2}3,

5}6,

6}11

, 13}22

, 35}66

B 35}66

, 6

}11

, 13}22

, 2}3,

5}6

C 5}6,

2}3,

13}22

, 6

}11

, 35}66

D 2}3,

5}6,

6}11

, 13}22

, 35}66

6. Which is greater, 22}7 ,

10}3

, 31}9

, or 16}5 ?

F 22}7 G

10}3

H 31}9

J 16}5

7. The list below gives the temperature in degrees Celsius in several refrigerated cases at a grocery store. What is the temperature in the warmest case?

216, 0, 212, 2, 29, 3, 214

A 216°C B 0°C

C 29°C D 3°C

8. A map lists elevations above sea level using positive integers, and below sea level using negative integers. In which list are the elevations 23, 16, 211, 0, 5, 223 in order from lowest to highest?

F 0, 23, 5, 211, 16, 223

G 0, 223, 211, 23, 5, 16

H 223, 211, 23, 0, 5, 16

J 223, 211, 0, 23, 5, 16

h 7.1.A When you finish this page, you can check off a box on your TEKS Tracker, page 1.

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TAKS Objective 1TEKS 7.1.B Review


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7.1.B Convert between fractions, decimals, whole numbers, and percents mentally, on paper, or with a calculator.

Do the division.

Move decimal to right x places. Write number over 1 with x zeros.

Move decimal two units to the left and removepercent sign.

Move decimal twounits to the right and add percent sign.

DecimalFraction Percent

In Beverly Hills, 5}8 of the stores sell fashion clothing. What percentage of the

stores in Beverly Hills sells fashion clothing?

5}8 8qw5.000 Do the division.

5}8 5 0.625 5 62.5% Move decimal two units to right and add percent sign.

EXAMPLE

YOU DO IT

0.625

An insurance company determines that 15.5% of its customers own red cars. What is 15.5% written as a fraction?

1. Write 15.5% as a decimal. 15.5% 5

(Move decimal two units left,remove percent sign.)

2. Write decimal as a fraction. 0.155 5

(Move decimal three units rightso denominator will be 1+three zeros, or 1000.)

3. Simplify fraction. 155}1000

5

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TAKS Objective 1TEKS 7.1.B Practice 5


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h 7.1.B When you finish this page, you can check off a box on your TEKS Tracker, page 1.

1. In a high school, 2}3 of the students participate

in an extracurricular activity. Which number

is equivalent to 2}3?

A 0.23

B 0.66

C 0.}6

D 66.6%

2. On a vocabulary quiz, Jackie correctly

answered 17}20

of the questions. Which of the

following is equivalent to Jackie’s percentage on the quiz?

F 0.85%

G 1.18%

H 85%

J 118%

3. The average family in a school district includes 2.3 children. Which number is equivalent to 2.3?

A 2.3}10

B 230}100

C 23}100

D 0.23}10

4. A fan is operating at 1.3 times its maximum rated speed. Which number is equivalent to 1.3?

F 0.013%

G 1.3%

H 13%

J 130%

5. Drinking water contains 0.11% fluoride to help dental health. Which of the following is equivalent to 0.11%?

A 0.0011

B 0.11

C 11

D 1100

6. Mr. Jones wants the table tennis team to win 64% of its games. What fraction of its games is this?

F 37}64

G 32}50

H 2}3

J 3}5

7. Write 27}4

as a decimal.

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

.

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

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TAKS Objective 1TEKS 7.1.C Review


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7.1.C Represent squares and square roots using geometric models.

4 units

4 units

1 2 3 4

5 6 7 8

9 10 11 12

13 14 15 16

Draw a model that represents 62.

6 units

6 units

1 2 3 4 5 6

7 8 9 10 11 12

13 14 15 16 17 18

19 20 21 22 23 24

25 26 27 28 29 30

31 32 33 34 35 36

By labeling the smaller, interior squares, you can see that 62 5 36.

EXAMPLE

Draw a model that represents 72.

• Use as much of the grid at the right as you need.

• Number the smaller, interior squares.

• Use your model to find Ï}

49 .

YOU DO IT

The model to the left reveals two important facts.

42 5 16

Ï}

16 5 4

Note the model is a 4 3 4 square, and has 16 smaller squares inside.

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TAKS Objective 1TEKS 7.1.C Practice 7

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1. Which model represents 22?

A

B

C

2

2

2

D 4

1

2. Consider the following square greeting card with the given area.

8 square inches x

Which expression below represents x, the exact side length?

F 2.8

G Ï}

8

H Ï}

64

J 64

3. Consider the following square plot of land with the given side length.

25 feet

Which expression below represents the area of the plot?

A Ï}

5 B 5

C 252 D Ï}

25

4. Jeff wants to find out what 92 equals by using a geometric model. What are the dimensions of the rectangle he should draw?

F 3 3 3 G 3 3 27

H 9 3 9 J 81 3 81

5. Which expression is best represented by the model shown?

1

1

A Ï}

36 5 6

B 62 5 36

C (0.6)2 5 3.6

D (0.6)2 5 0.36

h 7.1.C When you finish this page, you can check off a box on your TEKS Tracker, page 1.

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7.2.A Represent multiplication and division situations involving fractions and decimals with models, including concrete objects, pictures, words, and numbers.

You can use rectangles to graphically multiply two fractions.

The denominators of the fractions determine the number of subdivisions for the sides of the rectangles.

The area of the intersection of regions represents the result of the multiplication. Don’t forget to simplify the answer.

Use a rectangle to graphically multiply 1}3

3 2}5.

The denominator are 3 and 5, so draw a 3 3 5 rectangle.

Shade 1}3 of the rows The intersection is

2 squares of a total of 15 squares.

So, 1}3

3 2}5 5

2}15

.

Shade 2}5 of

the columns.

EXAMPLE

Use a rectangle to graphically multiply 0.25 3 2}3.

Convert 0.25to a fraction.

On the grid, drawand shade rectangle.

Express final answers in simplified form.

0.25 5

5

0.25 3 2}3

5 5

YOU DO IT

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TEKS 7.2.A Practice

1. Which model best represents the

expression 1}4

3 3}5?

A

B

C

D

2. What dimensions of a rectangle are most appropriate to use to represent the expression

0.}3 3 0.8?

F 1 3 3

G 3 3 4

H 3 3 5

J 4 3 5

3. Which model best represents the

expression 2}3

4 4?

A

B

C

D

4. Suppose you need to find 2}5 of a number.

Which method will work?

F Divide the number by 2}5.

G Multiply the number by 2}5.

H Divide the number by 2, then by 5.

J Multiply the number by 2, then by 5.


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7.2.B Use addition, subtraction, multiplication, and division to solve problems involving fractions and decimals.

Operations with Decimals Operations with Fractions

Add/Subtract Align decimals vertically.

Multiply Tally digits following decimals.

Divide Move decimal in both numbers same amount, until divisor is a whole number.

Add/Subtract Must have same denominators.

Multiply Multiply numerators and multiply denominators.

Divide Multiply first fraction by reciprocal of second fraction.

The science club ordered 2 pizzas, and each member of the club ate 1}3 of a pizza.

If there are no leftovers, how many members does the science club have?

2}

1}3

5 2 4 1}3 Divide total number of pizzas by size of single portion.

2 4 1}3

5 2 3}1

Write division as multiplication.

2}1

3}1

5 6}1

5 6 Perform multiplication.

There are 6 members in the science club.

EXAMPLE

There are 10 monkeys in one exhibit at the zoo, and they are given 6 2}3 pounds of

bananas daily. How many pounds of bananas does each monkey get daily?

1. Write quantity of bananas as an improper fraction. ————

2. Divide quantity of bananas by number of monkeys. —————

3. Rewrite division as multiplication and simplify. ————–––––

YOU DO IT

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1. An answering machine records 1.6 minutes per message, and can store 8 messages. How many minutes of messages can the machine store?

A 0.2 minutes

B 0.8 minutes

C 9.6 minutes

D 12.8 minutes

2. A town’s average temperature during the summer is 87.3°F, and during the winter it is 23.7°F. What is the difference between these two temperatures?

F 63.6°

G 64.4°

H 64.6°

J 111°

3. A car’s gas tank holds 15.6 gallons. If the car uses 0.04 gallon of gas for each mile driven, how far can the car travel on a full tank?

A 62.4

B 312

C 390

D 624

4. Jenny’s pencil is 6.3 inches long after she removed 2.1 inches at the sharpener. How long (in inches) was the pencil originally?

F 3

G 4.2

H 8.4

J 13.23

5. If Mark paints 1}4 of a fence and Tom

paints 1}3 of the fence, how much of the

fence did they paint?

A 7}12

B 3}4

C 1

}12

D 2}7

6. If a $51.2 million lottery jackpot is to be split among 8 friends, how much money will each person receive?

F $156,250

G $800,000

H $409.6 million

J $6.4 million

7. One batch of muffins calls for 2}3 cup of

peanuts. Sheena has 10}3

cups of peanuts.

How many batches of muffins will Sheena be able to make?

A 5}3

B 5

C 8}3

D 4

Objective 1TEKS 7.2.B Practice


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7.2.C Use models, such as concrete objects, pictorial models, and number lines, to add, subtract, multiply, and divide integers and connect the actions to algorithms.

• You can add or subtract integers using a number line.

• Always start at zero.

• A positive number or addition tells you to go that many spaces to the right.

• A negative number or subtraction tells you to go that many spaces to the left.

• The final position is the result!

Use a number line to evaluate 5 2 8 1 3.

Starting at zero, follow these steps.

1. Right 5 units

2. Left 8 units Final Position 5 5 2 8 1 3 5 ______

3. Right 3 units

02122232425 1 2 3 4 5

4. Use a number line to evaluate: 23 1 5 1 2 5 ______

5. Use a number line to evaluate: 4 2 8 1 3 5 ______

YOU DO IT

Use a number line to evaluate 24 1 7.EXAMPLE

24 1 7 5 3

Second number is17, so go right 7 units.

First number is 24,so go left 4 units.

Always start at 0.

02122232425 1 2 3 4 5

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1. Which expression is represented by the model below?

02122232425 1 2 3 4 5

A 22 2 4 1 7

B 22 2 2 1 3

C 24 1 2

D 22 2 2 1 7

2. Which expression is represented by the model below?

02122232425 1 2 3 4 5

F 23 1 3

G 3 2 6

H 3 2 3

J 26 1 3

3. Which expression is not represented by the model below?

A 5 1 5

B 5 5

C 5 2

D 2 1 2 1 2 1 2 1 2

Objective 1TEKS 7.2.C Practice


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TAKS Objective 1TEKS 7.2.D Review


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7.2.D Use division to find unit rates and ratios in proportional relationships such as speed, density, price, recipes, and student-teacher ratio.

When working with rates and ratios, always include units of measurement.

Units of measurement in fractions follow the same rules as numbers. For example, if you

multiply miles}hour

by hours, your resulting unit will be miles. Let the units guide you.

Objective 1TEKS 7.2.D Review

If Daniel uses 3 eggs to make 12 pancakes, how many pancakes can he make with 7 eggs?

STEP 1 12 pancakes}

3 eggs Set up ratio.

STEP 2 12 pancakes}

3 eggs5 4

pancakes}egg Simplify ratio.

STEP 3 4 pancakes}egg 7 eggs 5 28 pancakes Multiply.

Daniel can make 28 pancakes.

EXAMPLE

Lucy needs 6 socks to make 2 puppets. How many puppets can Lucy make with 15 socks?

STEP 1 Set up ratio. puppets

socks

STEP 2 Simplify ratio. puppet

socks

STEP 3 Multiply. puppet

socks 15 socks 5 puppets

Lucy can make puppets.

YOU DO IT

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TAKS Objective 1TEKS 7.2.D Practice 15

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1. Maya releases 2 new albums every 3 years. How many albums will Maya release in 12 years?

A 4

B 6

C 8

D 9

2. Max can ride his bicycle 5 miles in a half hour. How far can he ride in 3 hours?

F 15 miles

G 30 miles

H 45 miles

J 60 miles

3. Mr. Goetz can hide 6 eggs in 5 minutes. How many eggs can he hide in 35 minutes?

A 30

B 35

C 41

D 42

4. If 7 butterflies need 28 flowers to survive, how many flowers do 16 butterflies need?

F 44

G 56

H 64

J 112

5. At the carnival, Tomás gets 3 chances to knock down a pile of cans for 2 quarters. How many chances will Tomás have if he has 8 quarters?

A 6

B 8

C 12

D 24

6. Camila can buy 20 stickers for $2. How many stickers can Camila buy with $5?

F 10

G 50

H 100

J 200

7. At the student assembly, the principal, Ms. Crowell, needs 2 teachers for every 15 students. If there are 75 students at the assembly, how many teachers need to attend?

A 5

B 10

C 15

D 40

8. If 5 gallons of water weigh 42 pounds, how much would 2 gallons of water weigh?

F 12.8 pounds

G 16.8 pounds

H 20 pounds

J 105 pounds

Objective 1TEKS 7.2.D Practice

h 7.2.D When you finish this page, you can check off a box on your TEKS Tracker, page 1.

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TAKS Objective 1TEKS 7.2.E Review


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7.2.E Simplify numerical expressions involving order of operations and exponents.

Simplifying Numerical Expressions

Do one step at a time!

Give yourself plenty of room.

When performing onesimplification, rewrite the simplified expression on the line below. Do this as many times as necessary.

Order of Operations

1. P – Inside grouping symbols

2. E – Exponents

3. MD – Multiplication and division (at same time) from left to right

4. AS – Addition and subtraction (at same time) from left to right

Objective 1TEKS 7.2.E Review

EXAMPLE Simplify 32 2 5}

21 3 (5 2 1).

32 2 5}

21 3(5 2 1) Rewrite original expression.

5 32 2 5}

21 3(4) Simplify inside grouping symbol.

5 9 2 5}

21 3(4) Simplify exponent.

5 4}2

1 3(4) A fraction bar is a grouping symbol.

5 2 1 3(4) Do division, as it comes first.

5 2 1 12 Now do multiplication.

5 14 Last step, addition.

Simplify 3 2 22 (1 1 3)

1. _______________________ Rewrite original expression.

2. _______________________ Simplify inside grouping symbol.

3. _______________________ Simplify exponent.

4. _______________________ Do multiplication.

5. _______________________ Do subtraction.

YOU DO IT

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TAKS Objective 1TEKS 7.2.E Practice 17

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1. Simplify the expression below.

52 2 (4 2 2) 5

A 11

B 15

C 20

D 115


2 2 4 1 2(3 2 1)

F 0

G 2

H 3

J 20


3 1 9}

32 22

A 0

B 2

C 4

D 6


262 1 6 5

F 21

G 26

H 18

J 76


F5 2 2 (8 2 6)G 2

A 234

B 2

C 12

D 36


32 210

}22 2 2

F 21}2

G 1

H 4

J 9


1 2 2 1 3 2 2 32

A 26

B 25

C 24

D 21


9 2 6 4 12 2 4}

21 1

F 39}5

G 17}2

H 3

J 7}4

h 7.2.E When you finish this page, you can check off a box on your TEKS Tracker, page 1.

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TAKS Objective 1TEKS 7.2.F Review


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7.2.F Select and use appropriate operations to solve problems and justify the selections.

In any word problem, understanding the situation is the most important task at hand. Second, however, is deciding which arithmetic operation will be used. There are some keywords that can help with this decision. Here are just a few:

Addition Subtraction Multiplication Division

and difference times divided

plus less (than) of split

more (than) between product quotient

greater (than) decreased by twice ratio

sum take away double per

together minus by part

Paula became sick with chickenpox. Her temperature was 102.1°F at the beginning. Three days later, her temperature decreased by 2.4°F. What was her temperature at that time?

1. What word(s) do you see in this problem that also occur in the table above? ________________________

2. What operation needs to be used? ________________________

3. What is the answer to the question? ________________________

YOU DO IT

Exactly 1}3 of the 60 seventh graders at East Junior High live in apartments. How

many East Junior High seventh graders live in apartments?

1}3

60 5 1}3

60}1

5 60}3

5 20

EXAMPLE

The word “of ” indicatesmultiplication.

This problem will be solved with multiplication.

Division is eventually used, but multiplication is the original operation.

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TAKS Objective 1TEKS 7.2.F Practice 19

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1. Which operation can be used to solve the problem below?

Patrick has $20. Ted has $3 more than Patrick. How much money does Ted have?

A Addition

B Subtraction

C Multiplication

D Division


An orchestra has three times as many violinists as flutists. If there are 8 flutists, how many violinists are there?

F Addition

G Subtraction

H Multiplication

J Division


Eight ounces of cheese are in 12 equally sized slices. How much cheese is in each slice?

A Addition

B Subtraction

C Multiplication

D Division


In the last 30 days, 7 days were rainy and 23 were dry. What was the ratio of dry days to rainy days in the last 30 days?

F Addition

G Subtraction

H Multiplication

J Division


Peter got an 85% on his first math test. His twin brother, Paul, got a 79% on the same test. What is the difference between their scores?

A Addition

B Subtraction

C Multiplication

D Division


Mr. Mendoza has 50 years of experience teaching. Ms. Bugg has 32 years of experience. How many years of experience do they have together?

F Addition

G Subtraction

H Multiplication

J Division


Kelly can run twice as far as Veronica. If Veronica can run 4.7 kilometers, how far can Kelly run?

A Addition

B Subtraction

C Multiplication

D Division

h 7.2.F When you finish this page, you can check off a box on your TEKS Tracker, page 1.

Objective 1TEKS 7.2.F Practice

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TAKS Objective 1TEKS 7.2.G Review


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7.2.G Determine the reasonableness of a solution to a problem.

Multiple-choice tests often contain common errors as answer choices. The last thing you should do with any problem is look at your solution. Is it reasonable? Does it have correct units? Always check your answer for reasonableness, even if it appears among the answer choices.

Objective 1TEKS 7.2.G Review

A game show has appeared 5 times per week for the past 10 years. How many times has the game show appeared?

5 3 10 5 50 The game show has appeared 50 times.

This is not a reasonable solution. Ten years is a long time, so the show must have appeared more than 50 times.

Include the units to see where you went wrong.

5 shows}week

3 10 years Þ 50

Weeks and years don’t cancel. You need to use the fact that there are 52 weeks per year.

5 shows}week

3 52 weeks}year 3 10 years 5 2600 shows

A more reasonable answer is 2600 shows.

An eye doctor attends approximately 10 people per day, from Monday through Saturday. Which value seems reasonable for the number of eyes she medically looks at during the week?

h 20 eyes h 60 eyes

h 120 eyes h 600 eyes

YOU DO IT

EXAMPLE

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TAKS Objective 1TEKS 7.2.G Practice 21

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1. Michael waited at the bus stop twice as long as he normally waits. Which of the following answers seems most reasonable for how long he waited?

A 2 hours

B 1/2 week

C 10 minutes

D 15 days

2. A taxicab charges $.85 per mile, plus a service fee. Ms. Conroy took the taxicab from the airport to her home, about 20 miles. Which of the following answers seems most reasonable for the amount of money Ms. Conroy gave the driver?

F $10

G $20

H $40

J $1700

3. The average cellular phone call is 2.7 minutes long. If Julie makes about 5 calls per day, which of the following answers seems most reasonable for the number of minutes Julie uses her phone in a week?

A 15

B 100

C 200

D 400

4. It costs $3.10 to get into the community swimming pool. Toby has a $20 bill. Which of the following answers seems most reasonable for the number of times Toby can go to the pool?

F 3

G 6

H 10

J 62

5. When cruising, Glenn’s bicycle wheel turns about 60 times each 10 seconds. Which of the following answers seems most reasonable for the number of times the wheel will turn in 6 minutes?

A 36

B 360

C 2100

D 3600

6. A blockbuster movie can expect to make $50 million during its first week in the the theaters. Each consecutive week, the movie will make about half the amount made the previous week. Which of the following answers seems most reasonable for the total amount of money a blockbuster movie will make in 5 weeks?

F $56 million G $75 million

H $100 million J $250 million

7. A company produces 150,000 laptop computers per month. Which of the following answers seems most reasonable for the number of laptop computers the company produces per hour?

A 20

B 200

C 5000

D 6000

Objective 1TEKS 7.2.G Practice

h 7.2.G When you finish this page, you can check off a box on your TEKS Tracker, page 1.

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TAKS Objective 1Mixed Review22

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1. In a bicycle race, Lenny passed 41 out of 50 other racers. Which of the following represents the percentage of other racers Lenny passed? (7.1.B)

A 0.82%

B 41%

C 82%

D 91%

2. The Super Sub is 6 feet long and weighs 9.6 pounds. If a serving size is 0.3 pounds, how many servings does the Super Sub have? (7.2.B)

F 12

G 20

H 32

J 52

3. Organize the following drill bit diameters (given in inches) in order from greatest to least. (7.1.A)

1}8,

9}64

, 5

}32

, 3

}16

A 9

}64

, 1}8,

3}16

, 5

}32

B 9

}64

, 5

}32

, 3

}16

, 1}8

C 3

}16

, 5

}32

, 9

}64

, 1}8

D 1}8,

3}16

, 5

}32

, 9

}64

4. Simplify the expression below. (7.2.E)

92 2 5(1 1 32)

F 247

G 217

H 31

J 85

5. If Mark ate 2}5 of a pizza, and Tuan ate

1}3 of the pizza, how much of the pizza did

they eat together? (7.2.B)

A 2}15

B 3}8

C 5}6 D

11}15

6. A quail makes his call 3 times every 7 minutes. How many calls will the quail make in 42 minutes? (7.2.D)

F 14

G 18

H 20

J 21

7. Which model best represents the expression

1}2

3 2}3? (7.2.A)

A

B

C

D

Objective 1Mixed Review

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TAKS


Objective 2The student will demonstrate an understanding of patterns, relationships, and algebraic reasoning.

Pages Tracker TEKS

7.3 Patterns, relationships, and algebraic thinking. The student solves problems involving direct proportional relationships. The student is expected to:

24–25 h 7.3.A estimate and find solutions to application problems involving percent

26–27 h 7.3.B estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units

7.4 Patterns, relationships, and algebraic thinking. The student represents a relationship in numerical, geometric, verbal, and symbolic form. The student is expected to:

28–29 h 7.4.A generate formulas involving unit conversions, perimeter, area, circumference, volume, and scaling

30–31 h 7.4.B graph data to demonstrate relationships in familiar concepts such as conversions, perimeter, area, circumference, volume, and scaling

32–33 h 7.4.C use words and symbols to describe the relationship between the terms in an arithmetic sequence (with a constant rate of change) and their positions in the sequence

7.5 Patterns, relationships, and algebraic thinking. The student uses equations to solve problems. The student is expected to:

34–35 h 7.5.A use concrete and pictorial models to solve equations and use symbols to record the actions

36–37 h 7.5.B formulate problem situations when given a simple equation and formulate an equation when given a problem situation



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TAKS

7.3.A Estimate and find solutions to application problems involving percent.

Percent means “per 100,” so 57% means 57 per 100, or 57}100

. You can write a ratio of part

to whole to find a percent: Percent = Part}Whole

. Once you write the ratio, you can perform the

division, and multiply the resulting decimal by 100.

Some common percents that you should know are:

1}4

5 25%, 1}3

5 33 1}3%,

1}2

5 50%,

2}3

5 66 2}3%,

3}4

5 75%, 1 5 100%


A movie lasts 200 minutes. The editor needs to shorten this by removing 60 minutes. What percentage of the movie does the editor need to remove?

1. Identify the following:

Whole = _________

Part 5 ___________

2. Fill in the parts of the ratio:

Part}Whole

5

3. Simplify the fraction and express it as a percent:

_______________________________________ %

YOU DO IT

A chicken lays 12 eggs. In 2 weeks, 3 of the eggs begin to hatch. What percentage of the eggs began to hatch?

Part}Whole

Write ratio.

3

}12

5 1}4 Substitute and simplify.

4qw1.00 Divide.

0.25 3 100 = 25 Multiply by 100.

25% of the eggs began to hatch.

EXAMPLE

0.25

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TAKS Objective 2TEKS 7.3.A Practice

1. Last year a band played 20 concerts. This year, they played 30 concerts. What is the percent increase in the number of concerts the band played?

A 10%

B 33 1}3%

C 50%

D 66 2}3%

2. On Friday, the temperature was 90° F. On Saturday, a cold front came in and the temperature fell to 72° F. What is the percent decrease in temperature?

F 18%

G 20%

H 25%

J 80%

3. Tom picks 8 cards from a deck. Five of the cards he chooses are hearts. What percent of his cards are hearts?

A 37.5%

B 50%

C 62.5%

D 60%

4. You are sending out 20 invitations to a party. You have finished writing 15 of the invitations. What percent of invitations have you finished writing?

F 25%

G 50%

H 66 2}3%

J 75%

5. There were 75 people waiting for baseball tickets. Only 30 people got tickets. What percent of the people waiting actuallygot tickets?

A 30%

B 40%

C 45%

D 66 2}3%

6. Theresa was playing pool with her brother. They began with 15 balls on the table, and when Theresa finished her turn, there were 12 balls on the table. What percent of the balls did Theresa put in the pockets?

F 20%

G 25%

H 75%

J 80%

7. Catherine had a total of 16 dolls. One day, the dog chewed up 2 dolls, and her brother lost 6 dolls. What percent of her dolls did Catherine have after that day?

A 12.5%

B 37.5%

C 50%

D 80%


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7.3.B Estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units.

When setting up a proportional relationship in application problems, it is critical to include the units of measurement. This will help make sure similar quantities are in the same position in each fraction.

One of the four values in the proportion will not be known.

Cross multiplying will help you solve for the missing value.

There are 350 mg of potassium in 1 banana. How much potassium is there in 3 bananas?

1 banana

}} 350 mg of potassium

5 3 bananas

}} x mg of potassium

Write proportion.

1 x 5 350 3 Cross multiply.

x 5 1050 Solve for x.

There are 1050 mg of potassium in 3 bananas.

Notice that when you set up a proportion, the units are the same in the numerator and in the denominator.

EXAMPLE

An 8-ounce oyster can produce a 600 mg pearl. What size pearl could you expect a 10-ounce oyster to produce?

1. Set up proportion, including units:

2. Cross multiply: _____________________________________________

3. Solve for your unknown: ______________________________________

4. Answer stated as a sentence: ___________________________________

YOU DO IT

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TAKS Objective 2TEKS 7.3.B Practice


1. A 24-pound dog needs a size 3 collar. What size collar would a 40-pound dog most likely need?

A 5

B 6

C 7

D 8

2. Five pounds of peanuts cost $7.00. How much will 3 pounds cost?

F $2.00

G $2.14

H $4.20

J $11.67

3. A model airplane is built to scale, and is 10 inches long and 9 inches wide. If the real airplane is 40 feet long, how wide is it?

A 22.5 feet

B 31 feet

C 36 feet

D 39 feet

4. A race motorcycle can go 80 miles per hour, which is 50% of its top speed. What is 80% of its top speed?

F 50 mi/h

G 120 mi/h

H 128 mi/h

J 160 mi/h

5. Walking 10 blocks will consume approximately 75 calories. Approximately how many calories will be consumed if25 blocks are walked?

A 160

B 185

C 200

D 210

6. Mr. Ruiz has a business card that is 2 inches high by 3 inches wide. If he wants to scale the card to a billboard that is 18 feet high, how wide will it be?

F 12 feet

G 19 feet

H 24 feet

J 27 feet

7. A baby is 2 feet tall and weighs 26.3 pounds. Assuming he maintains this ratio of height to weight, how much would he weigh if he was 6 feet tall? (Note: In reality this ratio changes significantly as we grow.)

Record your answer and fill in the bubbles in the grid below. Be sure to use the correct place value.

9

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7.4.A Generate formulas involving unit conversions, perimeter, area, circumference, volume, and scaling.

The formulas that are given on the mathematics chart are not unique. That is to say,the same relationship presented in these formulas can be expressed in another, equivalent form by using algebra.

For instance, one formula states that Distance 5 Rate 3 TimeThis formula is usually abbreviated as D 5 R 3 T.

Note that this formula is useful if you know the rate and time, and wish to know thedistance traveled.

You can use algebra to write formulas for rate and time.

Phil went inline skating for 2 hours. In that time, he covered 18 miles. What was his average rate?

Here you have a problem where you know the time and the distance, and you are looking for the rate. In its current form, your formula above is not so useful!

D 5 R 3 T Write the original formula.

D}T 5 R Divide both sides by T.

R 5 D}T You have a formula for R.

R 5 18 miles}2 hours

5 9 miles per hour Substitute the given values into the new formula and simplify.

Phil skated at an average rate of 9 miles per hour.

EXAMPLE

Amy went inline skating for 21 miles. Her average rate was 7 miles per hour. How long was Amy skating?

1. Solve D 5 R 3 T for T: _____________________________

2. Substitute values into new formula: ____________________

3. Simplify: _________________________________________

4. State answer: ______________________________________

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1. A square carpet has a perimeter of 36 feet. What is its side length?

A 3 feet

B 6 feet

C 9 feet

D 144 feet

2. A board game uses units called droogles and bibbles to represent money. If the conversion formula is

1 droogle 5 16 bibbles,

what is 1 bibble in terms of droogles?

F 1}16

bibble

G 16 bibbles

H 1}16

droogle

J 16 droogles

3. A circle has a circumference of 500 feet. Which expression could be used to find its diameter?

A 500}

B 500}2

C 500

D 1000

4. A rectangular taillight on a pickup truck has an area of 30 square inches. If it is 3 inches wide, which expression could be used to find its height?

F 10 3 3

G 30 3 3

H 30}10

J 30}3

5. A rectangular box has a volume of 210 cubic centimeters. It has a height of 6 centimeters. Which expression could be used to find the area of its base?

A 210 1 6

B 210 6

C 210 2 6

D 210}

6

6. A kite in the shape of a trapezoid has an area of 7 square feet. One base is 3 feet long, and the other base is 2 feet long. Which expression could be used to find its height?

F 14}5

G 3.5}5

H 7}5

J 14}2.5

7. A parallelogram has an area of 84 square centimeters. It has a base of 12 centimeters. Which expression could be used to find its height?

A 84 12

B 12}84

C 84}12

D 84 1 12


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7.4.B Graph data to demonstrate relationships in familiar concepts such as conversions, perimeter, area, circumference, volume, and scaling.

A few things to keep in mind when graphing data:

• Be sure to have the data organized in ordered pairs. You can use a table for this.

• Label your axes before graphing.

• When transferring information from a graph to a table, be sure to label both columns of the table before beginning to transfer data.

• If possible, confirm that data in the table agrees with the underlying formula or equation.

Create a graph which represents the data shown in the table below. The data show the conversion of weeks, x, to days, y.

Number of weeks, x

Number of days, y

1 7

2 14

3 21

4 28

Label axes first.

11 2 3 4 5Weeks

Days

0

7

14

21

28

35

0

EXAMPLE

The graph below represents the relationship between the perimeter of a square in inches, and the side length in inches. Create a table with the data, and determine which axis represents perimeter and which represents length.

4 8 12 16 200

1

2

3

4

5

0

Label columns with correct axis labels first.

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1. The data in the table below show the relationship between the radius of a circle in centimeters, x, and its approximate area in square centimeters, y.

Radius in centimeters, x

Area in square centimeters, y

1 3

2 12

3 27

Which graph best represents the data in the table above?

A

1 2 3 4 5

30

24

18

12

6

00

B

6 12 18 24 300

1

2

3

4

5

0

C

1 2 3 4 5

30

24

18

12

6

00

D

6 12 18 24 300

1

2

3

4

5

0

2. Which of the following relationships is best represented by the data in the graph?

1 2 3 4 5 6 7 8 90

3

6

9

12

15

18

21

24

27

30

0 10

F The side length of a square, x, and its area, y

G The diameter of a circle, x, and its circumference, y

H The base of a 10-inch high triangle, x,and its area, y

J The side length of a cube, x, and its volume, y

3. Which of the following relationships is best represented by the data in the graph?

11 2 3 4 50

30

60

90

120

150

180

210

240

270

300

0

A Conversion of hours to seconds

B Conversion of seconds to hours

C Conversion of seconds to minutes

D Conversion of minutes to seconds


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7.4.C Use words and symbols to describe the relationship between theterms in an arithmetic sequence (with a constant rate of change) andtheir positions in the sequence.

Arithmetic SequenceGeneral Understanding

• Always have an initial, or first, term.

• Second term is formed by adding or subtracting a constant to the first term.

• Third term is formed by adding or subtracting the same constant to the second term.

• Continue to form terms in the same manner.

Formula

• The term in the nth positioncan be expressed with a formula:

d n 1 c

where d is the common difference and c is a constant.

Use the rule 2n 2 5 to generate the first 5 terms of the sequence.

Let n 5 1 to find the first term: 2(1) 2 5 5 2 2 5 5 23

Let n 5 2 to find the second term: 2(2) 2 5 5 4 2 5 5 21

Let n 5 3 to find the third term: 2(3) 2 5 5 6 2 5 5 1

Let n 5 4 to find the fourth term: 2(4) 2 5 5 8 2 5 5 3

Let n 5 5 to find the fifth term: 2(5) 2 5 5 10 2 5 5 5

The first 5 terms of the sequence are 23, 21, 1, 3, and 5.

EXAMPLE

Use the rule 1}3n 1

2}3 to generate the first three terms of the sequence. What is the

common difference between the terms?

1. Let n 5 1 to find the first term: 1}3 ( ) 1

2}3 5

2. Let n 5 2 to find the second term: 1}3 ( ) 1

2}3

5

3. Let n 5 3 to find the third term: 1}3 ( ) 1

2}3

5

4. To find the common difference, subtract the first term from the second.

____________ 2 ____________ 5 _________________

second term first term common difference

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TAKS

1. Which sequence is generated by the rule 7 2 3n where n represents the position of a term in the sequence?

A 10, 13, 16, 19, 22, …

B 4, 7, 10, 13, 16, …

C 4, 1, 22, 25, 28, …

D 4, 8, 12, 16, 20, …

2. Which sequence is generated by the rule

3}2n 1

5}2 where n represents the position of

a term in the sequence?

F 4, 11}2

, 7, 17}2

, 10, …

G 21}4

, 27}4

, 33}4

, 39}4

, 45}4

, …

H 3}2, 3,

9}2, 6,

15}2

, …

J 7}2,

9}2,

11}2

, 13}2

, 15}2

, …

3. Which rule generates the sequence

2, 7, 12, 17, 22, …

where n represents the position of a term in the sequence?

A 2n 1 5

B 7n 2 5

C 10n 2 8

D 5n 2 3

4. What is the common difference between the terms of the sequence 4, 10, 16, 22, …?

F 26

G 4

H 6

J 10


1.2, 1.4, 1.6, 1.8, 2, …


A 2n 1 6

B 0.2n 1 1

C 0.4n 1 0.8

D 0.8n 1 0.4

6. What is the common difference between the terms of the sequence 15, 11, 7, 3, …?

F 28

G 24

H 4

J 19

7. What is the common difference between the terms of the sequence generated by the rule

5n 2 2


A 22

B 2

C 3

D 5



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7.5.A Use concrete and pictorial models to solve equations and use symbols to record the actions.

Solving an algebraic equation is all about keeping things in balance.

The equal sign is the balance point. If you do something to one side of the equation,you must do it to the other.

The real skill that comes with practice is knowing what to do to both sides.

The model below represents the equation 3x 1 1 5 7.

1 1 111 11

1xxx

What is the value of x?

Remove 1 unit from each side so 3x 5 6

Divide each side by 3 to get x 5 2

EXAMPLE

The model below represents the equation 2x 1 3 5 3.

1 11

1 11

xx


Remove ______units from each side. Equation isnow__________

Divide each side by _______ to get solution:_____________

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1. The model represents the equation 4x 1 2 5 10.


A x 5 2

B x 5 2.5

C x 5 3

D x 5 10

2. The model represents the equation x 2 3 5 2.

Key

1 5 11 5 212

x 2 2 2 1 15


F x 5 25

G x 5 21

H x 5 5

J x 5 6

3. The model represents the equation 2x 1 1 5 4.


A x 5 1

B x 5 1.5

C x 5 2

D x 5 2.5

4. The model represents the equation x 1 4 5 22.

Key

1 5 11 5 212

x 1 1 1 1 2 25


F x 5 26

G x 5 22

H x 5 2

J x 5 6

5. Which model represents the equation 3x 1 4 5 5?

A

B

C

D

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TAKS

7.5.B Formulate problem situations when given a simple equation andformulate an equation when given a problem situation.

When working with problem situations:

• Always identify what the unknown value is. Represent the unknown with a variable.

• When creating an equation, be sure to position the variable correctly.

• Also, be sure to position the equal sign correctly in the equation.

When creating problem situations from equations:

• Make sure that the values are reasonable. For example, don’t let the weight of a robin be 37 pounds.

• Clearly identify what the variable represents in the problem situation.

Objective 2TEKS 7.5.B Review

A 3-minute song includes 1.2 minutes of solo music and 0.7 minutes of solo vocals. Write an equation that can be used to determine x, the amount of the song which includes music with vocals.

1. Identify the variable: ______________________________________________

______________________________________________

2. Visualize the problem.

3. Write an equation: _______________________________________________

YOU DO IT

A waterfall has three distinct stages. Altogether, the water falls 360 feet. In the first stage, it falls 50 feet. In the second stage, it falls 120 feet. Write an equation that can be used to determine x, the distance the water falls in the third stage.

x 5 distance water falls in third stage Identify variable.

Visualize the problem.

50 1 120 1 x 5 360 Write an equation.

EXAMPLE

50

120

x

360

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TAKS

1. A children’s book contains 3 pages about a pig, 2 pages about a cat, and 7 pages about a dog. Which of the following equations can be used to find x, the number of pages in the book about pigs, cats, and dogs?

A 3 1 2 1 x 5 7

B 2 1 7 5 3 1 x

C 3 1 2 1 7 5 x

D 7 2 2 2 3 5 x

2. Sheryl read four books last summer. She averaged a book every 2 weeks. She spent 2 weeks on the first one, 3 weeks on the second book, and 1.3 weeks on the third book. Which of the following equations can be used to find x, the time spent reading the fourth book?

F 2 1 3 1 1.3 1 2 }}4

5 x

G 2 1 3 1 1.3 1 x }}4

5 2

H 2 1 3 1 1.3 1 x 5 2

J x 5 4(2 1 3 1 1.3 1 2)

3. The house at 74 Lohmeyer is 54 years old, and has had three owners. Mr. Budor owned it for 30 years and Ms. McGee owned it for 17 years. Which of the following equations can be used to find x, the number of years Ms. Marino has owned the house?

A 30 1 17 1 x 5 74

B 30 1 17 1 54 5 x

C 30 1 17 1 x 5 7

D 30 1 17 1 x 5 54

4. Which problem situation matches the equation below?

2 1 5 1 6 5 x

F Petra is 2 years old, Anja is 5 years old, and Heinz is 6 years old. Find x, the average age of these three children.

G Diana has 2 pennies, 5 dimes, and 6 nickels. Find x, the total amount of money Diana has.

H The can opener uses 2 amps, the toaster uses 5 amps, and the microwave oven uses 6 amps. Find x, the total amps all will use if operated at the same time.

J Joshua has 6 play shirts. Of these, he can use 2 as dress shirts. Including those 2, he has 5 dress shirts. Find x, the total number of shirts Joshua has.

5. Which problem situation matches the equation below?

36}x 5 4

A J.D. made 36 mini-waffles, and a normal serving is 4 mini-waffles. Find x, the number of people he can serve.

B If Bryce has 36 eggs and Paige has 4 eggs, find x, the combined number of eggs they have.

C 36 ounces of a special 3 cheese pizza blend consists of 12 ounces of mozzarella and 4 ounces of Romano.Find x, the number of ounces of Monterey cheese.

D At the clubhouse, 36 people were playing in a 4-hour bingo tournament. Find x, the average number of people that win per hour.



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TAKS

1. Karo, a sculptor, has decided to make a scale model statue of his hand. His thumb is 2 inches long, but on the statue, it is 6 feet long. If his index finger is 3 inches long, how long will it be on the statue? (7.3.B)

A 1 foot

B 7 feet

C 9 feet

D 18 feet

2. Which of the following relationships is best represented by the data in the graph? (7.4.B)

3 6 9 12 150

1

2

3

4

5

0

F Conversion of quarts to gallons

G Conversion of years to decades

H Conversion of feet to yards

J Conversion of cups to pints

3. Robbie slept 8 hours the first night at camp. The second night he slept 7 hours. He averaged 9 hours of sleep per night for the first 3 nights at camp. Which of the following equations can be used to find x, the amount he slept the third night? (7.5.B)

A 8 1 7 1 9}

35 x

B x 5 3(8 1 7 1 9)

C 8 1 7 1 x}

35 9

D 8 1 7 1 x 5 3

4. A triangular sail has an area of 30 square feet. It is 6 feet wide at the base. Which expression could be used to find its height? (7.4.B)

F 30}6

G 30}3

H 30}5

J 60}5

5. Reagan and his family were hiking in the mountains. They started at 5 mph, but 1 hour later they were going 3 mph. What was their percent decrease in speed? (7.3.A)

A 20%

B 40%

C 60%

D 66 2}3%


5, 1, 23, 27, 211…

where n represents the position of a term in the sequence? (7.4.C)

F 6 2 1n

G 9 2 4n

H 4n 1 1

J 3n 1 2



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TAKS


Objective 3The student will demonstrate an understanding of geometry and spatial reasoning.

Pages Tracker TEKS

7.6 Geometry and spatial reasoning. The student compares and classifies two- and three-dimensional figures using geometric vocabulary and properties. The student is expected to:

40–41 h 7.6.A use angle measurements to classify pairs of angles as complementary or supplementary

42–43 h 7.6.B use properties to classify triangles and quadrilaterals

44–45 h 7.6.C use properties to classify three-dimensional figures, including pyramids, cones, prisms, and cylinders

46–47 h 7.6.D use critical attributes to define similarity

7.7 Geometry and spatial reasoning. The student uses coordinate geometry to describe location on a plane. The student is expected to:

48–49 h 7.7.A locate and name points on a coordinate plane using ordered pairs of integers

50–51 h 7.7.B graph reflections across the horizontal or vertical axis and graph translations on a coordinate plane

7.8 Geometry and spatial reasoning. The student uses geometry to model and describe the physical world. The student is expected to:

52–53 h 7.8.A sketch three-dimensional figures when given the top, side, and front views

54–55 h 7.8.B make a net (two-dimensional model) of the surface area of a three-dimensional figure

56–57 h 7.8.C use geometric concepts and properties to solve problems in fields such as art and architecture



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TAKS

7.6.A Use angle measurements to classify pairs of angles ascomplementary or supplementary.

Complementary Angles

Two angles whose measurements have a sum of 90°. That is, together they form a right angle.

Supplementary Angles

Two angles whose measurements have a sum of 180°. That is, together they form a straight angle.

55°35°1

55°35°

5

35° 1 55° 5 90°

35°145 °1

145° 35°5

35° 1 145° 5 180°


Find all complementary angles.

R X V

50°

60°

30°

40°U

T

S

The pairs of angles whose measurements have a sum of 90° are:

RXS and SXT TXU and UXV

EXAMPLE

Find all supplementary angles in above diagram.

Note that now two angle measurements have a sum of 180°. Use a visual approach in this case. Look for angle pairs that will combine to form a straight angle.

RXS and _________ UXV and _________ RXT and _________

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1. Which angle is complementary to RXS?

A SXT

B TXU

C UXV

D SXV

2. Which angle is supplementary to RXS?

F SXV

G TXU

H SXU

J TXV

3. Which angle is complementary to TXU?

A RXS

B SXT

C UXV

D Not here

4. Which angle is supplementary to UXV?

F TXU

G RXS

H RXU

J RXT

5. Which two angles are not supplementary?

A SXT and TXU

B RXS and VXS

C RXT and TXV

D RXU and VXU

6. Determine the measure of the complement of RXT.


9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

.

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

3

2

1

0


55°

U

T

30°

35°

60°

V

S

XR

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7.6.B Use properties to classify triangles and quadrilaterals.

Triangles Quadrilaterals

classified by relative lengths of sides

Scalene Isosceles Equilateral

RhombusRectangle Square

classified by size of largest internal angle

ParallelogramTrapezoid

Obtuse Equiangular

.90° 90° 60° 60°

60°

,90°

Acute Right Kite

An answering machine has a quadrilateral-shaped base, as shown. Classify it based on the dimensions given.

70°

7 in.

4 in.

c

m m

c

c c

Since the angles are not 90°, we can eliminate rectangle and square. The sides are different lengths, so we can eliminate rhombus. It is a parallelogram.

EXAMPLE

A triangular street sign is shown below. Classify it in two different ways.

60° 60°

60°

According to side length: _____________________________

According to angle size: ______________________________

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1. A diamond is cut to the following shape.

Which of the following best describes the quadrilateral with the given measurements?

A Square

B Rhombus

C Kite

D Parallelogram

2. The profile of a tent is shown below.

7 ft 7 ft

43°43°10 ft

Which of the following best describes the triangle with the given measurements?

F Right isosceles

G Acute isosceles

H Obtuse isosceles

J Acute equilateral

3. A rearview mirror on a new car is shaped as shown below.

50°

130°c

c


A Rectangle

B Square

C Rhombus

D Trapezoid

4. A jet plane’s wing is shown below.

56°

Which of the following best describes the triangle as shown?

F Right isosceles

G Right scalene

H Acute isosceles

J Acute scalene

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7.6.C Use properties to classify three-dimensional figures, including pyramids, cones, prisms, and cylinders.

Cylinder Cone Pyramid SphereCube Prism

congruent congruent congruent circular polygon equalsquare bases that circular base base, distancefaces are polygons bases triangular from

faces center

A refrigerator measures 3 feet wide by 3 feet deep by 6 feet tall. What type of three-dimensional figure is the refrigerator?

The equal sizes for the width and depth might suggest a cube, but the height is different.

The refrigerator is a prism.

EXAMPLE

What two basic three-dimensional figures make up the figure shown?

First, consider the top figure:

________________

Second, consider the bottom figure:

__________________

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TAKS Objective 3TEKS 7.6.C Practice

1. What three-dimensional shape is shown here?

A Prism

B Cone

C Cylinder

D Pyramid

2. Which of the following is not a characteristic of a cube?

F 8 faces

G All edges equal

H All square faces

J All congruent faces

3. Which of the following is not a characteristic of a prism?

A 6 faces

B Bases are polygons

C 10 edges

D Bases are congruent

4. Which of the following is a characteristic of a cylinder?

F Only one circular base

G Congruent bases

H Tapers to a point

J Faces are polygons

5. Which of the following is not a characteristic of a cone?

A Two circular bases

B Tapers to a point

C Height can vary

D Radius of circular base can vary

6. Which of the following is a characteristic of a pyramid?

F All square faces

G Circular base

H Polygon base

J Two congruent bases

7. Which of the following is a characteristic of a sphere?

A Triangular faces

B No edges

C Circular bases

D Polygon base

8. Which shape does not appear in the picture below?

F Prism G Pyramid

H Cone J Cylinder


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7.6.D Use critical attributes to define similarity.

Geometrically similar objects have the same shape. This means:

Corresponding angles will be the same.

The ratio of any two linear measurements of one object will be the same as the corresponding ratio in the similar object.

Find the length of the missing side of the following similar triangles.

53

4x6

8

Write a proportion relating the lengths of corresponding sides. Then solve the proportion.

3}5 5

6}x

3x 5 30

x 5 10

EXAMPLE

Find the length of the longer of the following similar lightning bolts.

6x

23

STEP 1

Set up a proportion.

–––––––– 5 ––––––––

STEP 2

Cross multiply.

–––––––– 5 ––––––––

STEP 3

Solve for x.

––––––––––––––––––

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TAKS Objective 3TEKS 7.6.D Practice 47

TAKS Objective 3TEKS 7.6.D Practice

1. The two figures shown below are similar.

32

x

6

4.54

What is the measure of the missing side?

A 9

B 4

C 3

D 2

2. The two figures shown below are similar.

18

x°

36

108°


F 3

G 6

H 54

J 108

3. A small rectangular box measures 4 feet wide by 2 feet deep by 5 feet tall. A similar, but larger, box measures 6 feet wide by 3 feet deep. How tall is the larger box?

A 7 feet

B 7.5 feet

C 8 feet

D 10 feet

4. An artist likes the proportions of the frame below. She would like a similar frame, but 4.9 feet tall.

5 ft

3.5

ft

How wide will the artist’s frame be?

F 3.43 feet

G 6.4 feet

H 7 feet

J 7.9 feet

5. Which of the following are not always similar?

A Squares

B Equilateral triangles

C Spheres

D Acute triangles

6. The following squares are similar. The area of the smaller square is 4 square units. What is the area of the larger square?

2

6

F 8 square units

G 12 square units

H 24 square units

J 36 square units

h 7.6.D When you finish this page, you can check off a box on your TEKS Tracker, page 39.

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7.7.A Locate and name points on a coordinate plane using ordered pairs of integers.

Each point in a coordinate plane is represented y

x

1

21

22

23

24

2

3

4

22 212324 1 2 3 4

(4, 3)

43

by an ordered pair (x, y).

The first number is the x-coordinate. It is thepoint’s horizontal distance from the origin.

The second number is the y-coordinate. It isthe point’s vertical distance from the origin.

List all the points with integer coordinates that lie inside the quadrilateral.

y

x21

22

23

24

4

3

2

21222324 1 2 3 4

1

There are 5 points with integer coordinates.

(21, 1)

(21, 0) (0, 0)

(21, 21) (0, 21)

EXAMPLE

Fill in the missing coordinates of the following four points.

y

x

1

21

22

23

24

2

3

4

22 212324 1 2 3 4

BA

D

C

A(1, –––––)

B(–––––, 1)

C(21, –––––)

D(–––––, –––––)

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TAKS

1. Which of the following coordinates do notlie within the circle graphed below?

y

x

1

21

22

23

24

2

3

4

22 212324 1 2 3 4

A (0, 0)

B (0, 23)

C (0, 3)

D (21, 1)

2. Which point in the graph below is notlabeled correctly?

y

x

1

21

22

23

24

2

3

4

22 212324 1 2 3 4

FG

HJ

F F(2, 23)

G G(3, 3)

H H(2, 24)

J J(22, 22)

3. Which of the following coordinates does lie within the triangle graphed below?

y

x

1

21

22

23

24

2

3

4

22 212324 1 2 3 4

A (1, 22)

B (22, 2)

C (23, 0)

D (0, 4)

4. Which point in the graph below is labeled correctly?

y

x

1

21

22

23

24

2

3

4

22 212324 1 2 3 4

J

F

GH

F F(0, 0)

G G(3, 2)

H H(24, 22)

J J(4, 4)

Objective 3TEKS 7.7.A Practice


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7.7.B Graph reflections across the horizontal or vertical axis and graphtranslations on a coordinate plane.

Before translating or reflecting anything on a coordinate plane, note the coordinates of as many points as possible.

Reflections

• Across y axis change sign of x-coordinates

• Across x axis change sign of y-coordinates

Translations

• Add/subtract horizontal shift to the x-coordinates

• Add/subtract vertical shift to the y-coordinates

Translate the following square 5 units left and 3 units up.

y

x

1

22

23

24

2

3

4

22 2123 1 2 3 4

5 left

3 up

STEP 1 Find coordinates of four corners:

(1, 21) (1, 23) (3, 21) (3, 23)

STEP 2 Subtract 5 from x-coordinates:

(1 2 5, 21) (1 2 5, 23) (3 2 5, 21) (3 2 5, 23)

STEP 3 Add 3 to the y-coordinates:

(24, 21 1 3) (24, 23 1 3) (22, 21 + 3) (22, 23 + 3)

5 (24, 2) 5 (24, 0) 5 (22, 2) 5 (22, 0)

EXAMPLE

Reflect the following triangle across the y axis.

y

x

1

21

22

23

24

2

3

4

22 212324 1 2 3 4

1. Identify coordinates of 3 vertices.

(––––, ––––); (––––, ––––); (––––, ––––)

2. Change sign of x-coordinates.

(––––, ––––); (––––, ––––); (––––, ––––)

3. Graph new points and draw triangle.

YOU DO IT

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TAKS

1. Reflect the point (23, 6) across the x-axis.What are the coordinates of the new point?

A (3, 6)

B (3, 26)

C (23, 6)

D (23, 26)

2. Reflect the point (23, 6) across the y-axis.What are the coordinates of the new point?

F (3, 6)

G (3, 26)

H (23, 6)

J (23, 26)

3. The figure below was transformed from quadrant III to quadrant IV.

y

x

2

22

24

26

28

4

6

8

24 222628 2 4 6 8

This transformation best represents a

A Translation

B Reflection across the y-axis

C Rotation

D Reflection across the x-axis

4. Translate the point (22, 5) 2 units up and 5 units to the left. What are the coordinates of the new point?

F (0, 0)

G (27, 7)

H (24, 10)

J (3, 3)

5. The figure below was transformed from quadrant II to quadrant IV.

y

x

2

22

24

26

28

4

6

8

24 222628 2 4 6 8


A Translation

B Reflection across the y-axis

C Rotation

D Reflection across the x-axis

6. Translate the point (0, 0) 4 units down and 1 unit to the right. What are the coordinates of the new point?

F (4, 1)

G (1, 4)

H (24, 1)

J (1, 24)



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TAKS

7.8.A Sketch three-dimensional figures when given the top, side, and front views.

There are many ways to successfully sketch three-dimensional figures. Here is one:

• First consider and sketch the front view. This will be the basis of your sketch, and tell you how many “floors” the object has.

• Second, consider the top view. This will tell you how the object varies from the front view. It may have pieces coming out, or extending back.

• Finally, consider the side view. This will tell you on what “floor” the pieces coming out occur.


The top, side, and front views of a solid figure made up of cubes are shown below. Sketch the figure.

Top Side Front

1. Draw the top view at the right.

2. Add depth by drawing lines from corners right and up, as long as they don’t pass your squares.

3. Use the side and top view to find and draw the 2 hidden cubes.

YOU DO IT

The top, side, and front views of a solid figure made up of cubes are shown below. Sketch the figure.

Top Side Front

Draw front Add depth Look at top and side to determinelocation of hiddenblocks.

EXAMPLE

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TAKS

1. The top, side, and front views of a solid figure made up of cubes are shown below.

Top Side Front

Which solid figure is best represented by these views?

A

B

C

D

2. The top, side, and front views of a solid figure made up of cubes are shown below.

Top Side Front


F

G

H

J

3. A solid figure made up entirely of cubes is shown below.

Which view best represents the top view?

A

B

C

D

4. A solid figure made up entirely of cubes is shown below.

Which view best represents the front view?

F

G

H

J



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TAKS

7.8.B Make a net (two-dimensional model) of the surface area of a three-dimensional figure.

The net of a three-dimensional figure is basically the specially shaped piece of thin cardboard that could be used to create the figure. It will need to be folded, so all the creases should be drawn on it.

When making a net for a three-dimensional figure, make sure you include each face. Also, try to visualize making cuts to open the figure and lay the “cardboard” flat.


EXAMPLE Given the following figure, what is its net?

Begin by drawing the base.

Ignore the top, and “cut” the vertical Finally, include the top whereveredges. The sides fall down as shown. convenient.

Given the following figure, what is its net?

Begin by drawing the base. Then draw the remaining faces.

YOU DO IT

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1. Consider the three-dimensional figure shown below.

Which of the following shapes will not be a part of its net?

A B

C D


Which of the following shapes will be a part of its net?

F G

H J


Which of the following shapes shows the net of this figure?

A

B

C

D


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A stadium is being built in the shape of a circle, as shown below.

If it has a diameter of 250 feet, what is its area?

Recall the formula for the area of a circle is A 5 r2. Because the radius is half the

diameter, r 5 1}2(250) 5 125 feet.

A 5 r2

5 (125)2

ø 3.14 15,625

5 49,062.5 square feet

EXAMPLE

7.8.C Use geometric concepts and properties to solve problems in fields such as art and architecture.

Many people, including architects and artists, must use geometry and mathematics in theirdaily work.

An artist decides to build a tower of copper pennies by gluing them together. The area of a penny is approximately 0.44 square inches, and the tower is going to be 120 inches (10 feet) tall. What is the volume of the copper in the tower?

The formula for volume of a cylinder is V 5 r2h or V 5 Bhwhere B represents the area of the base of a solid figure.

Volume 5 ––––––––––––––––––– 3 –––––––––––

5 –––––––––––––––––– (Don’t forget the units.)

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TAKS

1. An architect wants to design the largest house possible with the smallest perimeterpossible. The house is square, with dimensions shown in the picture.

50 ft

What is the perimeter of this house?

A 50 feet

B 100 feet

C 200 feet

D 2500 feet

2. Beth is planning a stained glass window that has the shape of a rectangle with a half circle above it.

4 ft

6 ft

What is the area of the rectangular part of the window?

F 12 square feet

G 20 square feet

H 24 square feet

J 36 square feet

3. Paul is building the L-shaped desk shown.

3 ft

5 ft4 ft

3 ft

8 ft

7 ft

What is the area of the desktop?

A 15 square feet

B 21 square feet

C 36 square feet

D 45 square feet

4. Jared is building his own tent.

What geometric concept will most help him determine how to cut the pieces of fabric for the tent?

F Volume

G Nets

H Reflections

J Similarity



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TAKS

1. If RXT 5 51°, what would the measure of the complement of RXT be? (7.6.A)

A 39°

B 49°

C 129°

D 139°

2. Which of the following best describes the triangle as shown? (7.6.B)

F Right isosceles

G Acute scalene

H Obtuse isosceles

J Scalene

3. Which of the following coordinates does not lie within the rectangle graphed below? (7.7.A)

y

x

1

21

22

23

24

2

3

4

22 212324 1 2 3 4

A (0, 3)

B (2, 21)

C (22, 23)

D (21, 1)

4. What two figures make up the figure below?(7.6.C)

F Prism and pyramid

G Prism and cone

H Cylinder and pyramid

J Cylinder and cone

5. The top, side, and front views of a solid figure made up of cubes are shown below. (7.8.A)

Top Side Front


A

B

C

D

6. Translate the point (22, 1) 1 unit down and 2 units to the left. What are the coordinates of the new point? (7.7.B)

F (0, 0)

G (24, 0)

H (23, 21)

J (21, 3)



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TAKS


Objective 4The student will demonstrate an understanding of the concepts and uses ofmeasurement.

Pages Tracker TEKS

7.9 Measurement. The student solves application problems involving estimation and measurement. The student is expected to:

60–61 h 7.9.A estimate measurements and solve application problemsinvolving length (including perimeter and circumference)and area of polygons and other shapes

62–63 h 7.9.B connect models for volume of prisms (triangular andrectangular) and cylinders to formulas of prisms (triangularand rectangular) and cylinders

64–65 h 7.9.C estimate measurements and solve application problems involving volume of prisms (rectangular and triangular) and cylinders

66 Objective 4 Mixed Review


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60TAKS Objectives Review and Practice

Grade 7 TAKS TestTAKS Objective 4TEKS 7.9.A Review60

TAKS

7.9.A Estimate measurements and solve application problems involving length (including perimeter and circumference) and area of polygons and other shapes.

Perimeter Area

The distance around a figure. Measured in linear units. For a circle, the perimeter is called the circumference.

The amount of surface a figure covers. Measured in square units, indicated by the exponent 2. For example: in.2, cm2, yd2

A circular swimming pool has a square deck around it as shown. Find the area of the deck.

The area A of a square is A 5 s2 where s is the side length.

The area A of a circle is A 5 πr2 where r is the radius.

Area of square 5 202 5 400 ft2

Area of circle 5 π p 72 3.14 p 49 5 153.86 ft2

Area of deck 5 Area of square 2 Area of circle

5 400 2 153.86 5 246.14 ft2

ExAmPlE

A border strip is to be installed around the pool shown above. To the nearest whole foot, how many linear feet of the strip will be needed?

What is the formula for the circumference of a circle?

What is the radius of the circular pool?

What is the circumference of the pool (use 3.14 for π, and round to the nearest

whole number)?

YOu DO IT

7 feet20 feet


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TAKS

1. A board game requires a playing piece to have two square cutouts. A playing piece is shaped as shown in gray in the figure below.

3 in.

5 in.

1 in.

1 in.

What is the area of the playing piece shown?

A 8 in.2

B 13 in.2

C 14 in.2

D 15 in.2

2. A taxicab drives through the city as shown in the diagram below. Each square represents a city block.

How many blocks did the cab drive?

F 9

G 12

H 16

J 18

3. Game-Co is designing a new game. A game card is shown below.

Use a ruler to measure the dimensions ofthis card in inches. What is the perimeterof this card?

A 2.5 in. B 3.5 in.

C 6 in. D 7 in.

4. A lid from a jar is shown below.

Use a ruler to measure the radius ofthis circle in centimeters. What is thebest estimate of the area of the lid?

F 2 cm2 G 4 cm2

H 6 cm2 J 13 cm2

5. What is the area of the triangular napkin shown?

4 in.4 in.

A 2 in.2 B 4 in.2

C 8 in.2 D 16 in.2



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Grade 7 TAKS TestTAKS Objective 4TEKS 7.9.B Review62

TAKS

7.9.B Connect models for volume of prisms (triangular and rectangular)and cylinders to formulas of prisms (triangular and rectangular)and cylinders.

When you calculate the volume of a three-dimensional object, the unit of measurementindicates how many cubes measuring 1 unit on each side would fit in the object if you could fill all the space.

The figures below show the relative sizes of two common units of volume.

A tennis ball can has a volume of approximately 64 cubic inches. One egg has a volume of approximately 3.5 cubic inches. Approximately how many eggs do you think you could put in a tennis ball can?

Divide 64 cubic inches by 3.5 cubic inches per egg.

64}3.5

ø 18 eggs

In actuality, you should expect that fewer than 18 eggs will fit because the eggs will not take up all the space in the can.

EXAMPLE

Karen is an avid miniature car collector. Each car has a small box measuring3 cm wide by 6 cm long by 2 cm high. Karen wants to store her small car boxesin a larger box that will allow 4 small boxes wide by 3 small boxes long by5 small boxes high. What is the volume of the smallest-sized box thatwill allow this?

1. Large box width 5 small box widths 3 cm

}} small box width

5 cm

2. Large box length 5 small box lengths 3 cm

}} small box length

5 cm

3. Large box height 5 small box heights 3 cm

}} small box height

5 cm

4. What is the volume of the large box?

cm cm cm 5 cm3

YOU DO IT


1 cubicinch(1 in.3)

1 cubiccentimeter(1 cm3)

9 inches

3 inches

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TAKS

1. What is the exact number of cubes thatmeasure 2 feet on each side that will fit ina rectangular prism measuring 8 feet by10 feet by 4 feet?

2 feet

10 feet

4 feet

8 feet

A 20

B 40

C 160

D 320

2. A can holds 5 cubic inches of water.Using this can, Michael fills up thefollowing aquarium.

8 in.

10 in.14 in.

How many times will Michael need to fill the can?

F 9

G 125

H 224

J 1120

3. A cylindrical pipe to carry water from the wall to a sink is being designed. It will have a radius of 0.54 centimeters. What additional information, if any is needed, will allow you to calculate the volume of the pipe?

A Width

B Length

C Diameter

D All necessary information is given.

4. A large building in the shape of a rectangular prism is 150 feet tall. The base of the building is 70 feet wide and has an area of 4000 square feet. What additional information, if anyis needed, will allow you to calculate the volume of the building?

F Height

G Length

H Diameter

J All necessary information is given.

5. Eddy has an 8-inch-long triangular prism made out of glass. The base of eachtriangular end is 2 inches long. Whatadditional information, if any is needed,will allow you to calculate the volume ofthe prism?

A Height of triangle

B Total area of rectangular sides

C Perimeter of triangle

D All necessary information is given.



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Grade 7 TAKS TestTAKS Objective 4TEKS 7.9.C Review64

TAKS

7.9.C Estimate measurements and solve application problems involving volume of prisms (rectangular and triangular) and cylinders.

Forming Prisms and Cylinders Volume of Prisms and CylindersBegin with any polygon or circle. Prisms and cylinders share the same basic formula for volume V.

V 5 B h

In the formula, B is the area of the base and his the height of the solid.

Rectangular prism: V 5 lw h

Square prism: V 5 s2 h

Cylinder: V 5 r 2 h

Form a three-dimensional solid by liftingthe polygon or circle straight up.

The beverage can shown below is 4 inches tall and has a radius of 1 inch. What is its volume?

The can is a cylinder. The formula for its volume is V 5 r 2 h.

Substitute r 5 1 and h 5 4 in the formula.

V 5 r2 h

5 (1)2 4

5 4

12.6

The can will hold about 12.6 in.3

EXAMPLE

A shoebox measures 8 inches long by 5 inches wide by 4 inches tall. What is its volume?

Type of prism:

Volume formula:

Substitute values:

Volume 5(include units of measurement)

YOU DO IT

Objective 4TEKS 7.9.C Review

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TAKS

1. A roll of paper towels is shown below. Its radius is 3 inches.

10 inches

Which of the following is the best estimate of the volume of the roll?

A 90 in.3 B 190 in.3

C 280 in.3 D 300 in.3

2. A tunnel is being built through a small hill. It will be 10 feet tall and 15 feet wide. A diagram of the tunnel is shown below.

60 feet

Which of the following is the best estimate of the volume of the tunnel?

F 9000 ft2 G 4000 ft2

H 6000 ft3 J 9000 ft3

3. A specially designed container for mailing posters has a triangular base with an area of 12 in.2

24 in.

Which of the following is the best estimate of the volume of the container?

A 200 in.3 B 300 in.3

C 2000 in.3 D 3500 in.3

4. The European Space Agency constructedthe Columbus laboratory module for theInternational Space Station. It is basicallya 23.2-foot-long cylinder with a radius of7.5 feet.

Use the approximation 3.14 to estimate the volume of the Columbus module to the nearest tenth of a cubic foot.


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24 ft

16 ft

9 ft

If the answer choices give the cooling capacities of 4 different air conditioners, which should the owner buy to ensure a large enough capacity to cool the room with the least extra capacity?

A 2500 ft3 B 3000 ft3

C 4000 ft3 D 5000 ft3



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1. A wheat-chip snack is shown below.

Use a ruler to measure the base and height of this chip in inches. What is the best estimate of the area of the chip? (7.9.A)

A 1 in.2 B 2 in.2

C 3 in.2 D 5 in.2

2. A pencil with a circular cross section is originally 10 inches long. Marcus sharpens off 3 inches. What additional information,if any is needed, will allow you to calculate the approximate pencil volume Marcusremoved? (7.9.B)

F Time

G Length

H Radius

J All necessary information is given.

3. A board game requires a playing piece to have a trapezoidal cutout. A playing piece is shaped as shown in gray in the figure below.

3 in.

5 in.

1 in.

2 in.

2 in.

What is the area of the piece shown? (7.9.A)

A 3 in.2 B 12 in.2

C 15 in.2 D 18 in.2

4. A specially designed container for mailing posters has a circular base with an area of approximately 8 in.2

24 in.

Which of the following is the best estimate of the volume of the container? (7.9.C)

A 200 in.3 B 300 in.3

C 500 in.3 D 3000 in.3

5. A taxicab drives through the city as shown in the diagram below. Each square represents a city block.

What is the area of the region the taxi drove around? (7.9.A)

A 9 blocks B 11 blocks

C 18 blocks D 20 blocks

6. What is the exact number of cubes that measure 5 inches on each side that will fit in a rectangular prism measuring 5 inches by 10 inches by 15 inches? (7.9.B)

5 in.

15 in.

10 in.

5 in.

A 6 B 20

C 150 D 750



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Objective 5The student will demonstrate an understanding of probability and statistics.

Pages Tracker TEKS

7.10 Probability and statistics. The student recognizes that a physical or mathematical model can be used to describe the experimental and theoretical probability of real-life events. The student is expected to:

68–69 h 7.10.A construct sample spaces for simple or composite experiments

7.11 Probability and statistics. The student understands that the way a set of data is displayed influences its interpretation. The student is expected to:

70–71 h 7.11.A select and use an appropriate representation for presenting and displaying relationships among collected data, including line plot, line graph, bar graph, stem and leaf plot, circle graph, and Venn diagrams, and justify the selection

72–73 h 7.11.B make inferences and convincing arguments based on an analysis of given or collected data

7.12 Probability and statistics. The student uses measures of central tendency and range to describe a set of data. The student is expected to:

74–75 h 7.12.A describe a set of data using mean, median, mode, and range

76–77 h 7.12.B choose among mean, median, mode, or range to describe a set of data and justify the choice for a particular situation



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7.10.A Construct sample spaces for simple or composite experiments.

Sample Space The set of all possible outcomes for an event or the set of data from an experiment.

• When listing the elements in the sample space, be sure to determine if the experiment is simple or composite.

• If the experiment is composite, be sure to determine if the first outcome has an effect on the second.

A bag contains 3 marbles. One is red, one is white, and one is blue. One marble is drawn, its color noted, and then put aside. A second marble is drawn, and its color is noted. List all the elements in the sample space of this experiment.

First Marble Second MarbleRed White

Red Blue

White Red

White Blue

Blue Red

Blue White

Notice there is no Red – Red, White – White, or Blue – Blue, because the first marble is not replaced.

EXAMPLE

A bag contains a 3 marbles. One is red, one is white, and one is blue. One marble is drawn, its color noted, and then replaced. A second marble is drawn, and its color is noted. List all the elements in the sample space of this experiment.

First Marble Second Marble First Marble Second Marble

YOU DO IT


Be careful! The first part of this composite experiment affects the second part.

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1. Dwayne had a birthday party with three types of cupcakes: chocolate, vanilla, and marble. His mom will let him have 2 cupcakes. Which list shows all the possible unique combinations of cupcakes he can have?

A Chocolate Vanilla

Marble

B Chocolate Vanilla

Chocolate Marble

Vanilla Marble

C Chocolate Chocolate

Chocolate Vanilla

Chocolate Marble

Vanilla Marble

Marble Marble

D Chocolate Chocolate

Chocolate Vanilla

Chocolate Marble

Vanilla Vanilla

Vanilla Marble

Marble Marble

2. Malta has a set of 10 cards, numbered from one to ten. The even numbered cards are black and the odd numbered cards are red. Two cards are selected at random. Which of the following is not in the sample space?

F Black 10 and red 3

G Red 5 and black 4

H Red 3 and black 9

J Black 2 and red 5

3. A magician has 1 guinea pig, 2 rabbits, and 3 doves. He can fit only two animals in his hat. Which list shows all the possible unique combinations of animals his hat can contain?

A Guinea Pig Rabbit

Dove

B Guinea Pig Rabbit

Guinea Pig Dove

Rabbit Dove

CGuinea Pig Rabbit

Guinea Pig Dove

Rabbit Rabbit

Rabbit Dove

Dove Dove

D Guinea Pig Guinea Pig

Guinea Pig Rabbit

Guinea Pig Dove

Rabbit Rabbit

Rabbit Dove

Dove Dove

4. A pet store has five poodles, three Wheaton terriers, one Tibetan terrier, and two Labrador retrievers. Three of the dogs are sold. Which of the following is not in the sample space?

F Two Labradors and one Wheaton

G One poodle, one Wheaton, and one Labrador

H One Tibetan and two poodles

J One Labrador and two Tibetans



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7.11.A Select and use an appropriate representation for presenting and displaying relationships among collected data, including line plot, line graph, bar graph, stem and leaf plot, circle graph, and Venn diagrams, and justify the selection.

A world cup soccer team won four games by scoring the following number of goals. Display this data with a bar graph.

Game Goals1 1

2 6

3 1

4 2

EXAMPLE

A well-balanced meal for a cat consists of 5 grams of carbohydrates, 12 grams ofprotein and 3 grams of fat. Use the following template to sketch a circle graph representing this meal.

YOU DO IT


How to display your data is a critical question.

Venn diagrams are most appropriate when you have overlapping categories.

Circle graphs require you to have 100% of collectable data.

Line plots and line graphs usually indicate data collected over time.

Bar graphs often show relationships among categories at one specific time.

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Soccer Goals

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Total number of grams 5

Carbohydrate Percentage 5

Protein Percentage 5

Fat Percentage 5

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1. A local sports arena started 2 adult hockey leagues. The table below shows the number of participants in each league.

League Players30–50 years 62

40–60 years 48

Both 14

Which graph best represents these data?

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010203040506070

30–50 years 40–60 years Both

BBoth

30–50years

40–60years

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2. An environmental protection group tracked the population of bald eagles in a national park over three years. Their results appear in the table below.

Year Eagles1 27

2 20

3 17


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7.11.B Make inferences and convincing arguments based on an analysis of given or collected data.

Graphical displays are great for summarizing collected data. Of course, the manner in which the data are presented can influence the interpretation.

Numerical displays can help stop a misinterpretation. When you are presented a graph, be prepared to construct a table with the numbers the graph presents.

The following graph shows the amount of time Hunter spent in the swimming pool last week. On Monday he spent the least amount of time in the pool. Which day did he spend twice as much time in the pool as Monday?

05

101520253035404550556065

M T W Th F Sa Su

It’s easy to see that Monday hasthe smallestvalue.

Day

Min

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s

Create a tableM 25

T 40

W 35

Th 55

F 50

Sa 60

Su 45

With the table it is easy to see that on Monday, Hunter spent 25 minutes at the pool. On Friday, he spent 50 minutes – twice as long.

EXAMPLE

Mr. Schmidt went on a diet. His weight over two months is shown in the graph below. Create a table based on the graph, and use it to determine how much weight Mr. Schmidt lost in two months.

155

160

165

170

175

180

185

Begin 1 month 2 months

Time Weight

Total weight loss 5 2 5

YOU DO IT


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1. The following graph represents the scores on the first math test in Ms. Gaines’ class.

9 1 2 3 6

8 3 3 5 8 9

7 0 3 5 7

6 4 7

4 3

Which statement is not supported by the graph?

A The high score was a 96.

B One person scored a 47.

C Two people scored an 83.

D Someone scored a 70.

2. The spinner for a new board game is shown below.

Yellow

BlackBlue

Green

Red

Which statement is not supported by the above display?

F Yellow should appear one third ofthe time.

G Black and blue occur on half of the spins.

H Red and green are equally likely.

J Blue should appear on 25% of the spins.

3. Tucker rides one of five horses when he goes to the stables. Their weights in pounds appear in the graph below.

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1900

2000

2100

2200

2300

Ed Joe Sly

Horse

Weig

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Max Ba


A Ed weighs 2000 pounds.

B Ba weighs 400 pounds more than Sly.

C Max weighs twice as much as Sly.

D Joe and Max together weigh twice as much as Ed.

4. The following graph represents the daily high temperatures in Minneapolis one week in summer.

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95

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Tem

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F 90° was the high temperature.

G 65° was the low temperature.

H Minneapolis cooled off in the middle of the week.

J Tuesday’s high was 85°.



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7.12.A Describe a set of data using mean, median, mode, and range.


Median

The middle value of a setof numbers listed in order.

If the set has an evennumber of values, the

median is the mean of thetwo middle values.

Range

The difference betweenthe greatest and the

least numbers in the set.

Mean

The numerical averageof the set of numbers;

found by dividing the sumof all the numbers by how many numbers there are.

Mode

The value, or values,in a set of numbers thatoccur(s) more frequentlythan any other number.

EXAMPLE Dani bowled three games. Her scores were 122, 117, and 130. Find the three measures of central tendency and the range.

Mean

117 1 122 1 130

}}3

5 369}

35 123

mean 5 123

Median

Order from least to greatest.

117, 122, 130

median 5 122

ModeNo number occurs more frequently than any other.

no mode

Range

130 2 117 5 13

range = 13

Three apples weigh a total of 11 ounces. A fourth apple weighs 5 ounces. Find the mean weight of the four apples.

Even though we don’t know all the apples’ individual weights, we can find the total weight of the four apples.

Total weight:

YOU DO IT

Average weight 5 total weight of apples

}} number of apples

5

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1. Rosario made four charm bracelets to give to her friends. The bracelets contained 23, 12, 18, and 27 charms, respectively. What is the mean number of charms on the bracelet?

A 15

B 20

C 20.5

D Cannot be determined with information provided

2. The shortest living dog is a 5.4-inch tall Chihuahua. The tallest living dog is a 42.2-inch tall Great Dane. What is the range of dog heights?

F 23.8 inches

G 36.8 inches

H 38.6 inches

J Cannot be determined with information provided

3. Christian scored 150 points in the first 15 basketball games this season, and 50 points in the remaining 5 games. What is the median number of points Christian scored?

A 10

B 20

C 100


4. This sentence contains thirteen words with one syllable, three words with two syllables, and three words with three syllables. What is the mean number of syllables of the words in the sentence.

F 1

G About 1.5

H 3


5. Mackenzie works at a local flower shop. On Monday, she made 4 flower arrangements. They contained 12, 23, 18, and 27 flowers, respectively. What is the median number of flowers in these arrangements?

A 15

B 20

C 20.5


6. Derek has homework every day of the week. Monday through Friday, he has a total of 150 minutes of homework. Over the weekend he has 60 minutes. What is the mean number of minutes of homework Derek has per day?

F 30

G 90

H 105


7. A Japanese haiku is a 17-syllable poem that has 3 lines. The first line has 5 syllables,the second line has 7, and the third line has 5 syllables. What is the mode of the number of syllables in one line of a Haiku?

A 5

B 5 2}3

C 7




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7.12.B Choose among mean, median, mode, or range to describe a setof data and justify the choice for a particular situation.

An outlier in a set of numbers is a value that is significantly different (greater than or less than) the others.

Median and ModeThese two measures are not usually affected by outliers.

Mean and RangeThese two measures can be greatly affected by outliers.


The following table lists the ages and weights of four brothers. Find the three measures of central tendency and the range of the weights.

Brother Age (yr) Weight (lb)Fred 4 30

Bob 17 160

Bill 19 170

Jack 20 160

Fred is so young that he represents an outlier in the weights in this family.

Mean: 30 1 160 1 170 1 160

}}4

5 520}

45 130 mean 5 130 pounds

Median: 30, 160, 160, 170 median 5 160 1 160}

25 160 pounds

Mode: 160 occurs twice mode 5 160 pounds

Range: 170 2 30 5 140 range 5 140 pounds

EXAMPLE

Find the three measures of central tendency and the range of the four brothers’ ages.

Mean: 5 mean 5

Median: median 5 5

Mode:

Range: range 5

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1. Ryan has five different baseball jerseys. Unfortunately, they are all stained. The following table lists the number of stains on each jersey.

Jersey Stains1 10

2 13

3 6

4 2

5 9

Which measure of data is represented by 9 stains?

A Mean B Mode

C Median D Range

2. Referring to Question 1, which measure of data is represented by 8 stains?

F Mean G Mode

H Median J Range

3. Brooklyn has taken 5 out of 6 science tests. Her first five scores were 83, 88, 90, 94, and 87. Which of the following scores will give her a mean score of exactly 90?

A 90 B 97

C 98 D 99

4. Referring to Question 3, if Brooklyn scores 104 on the sixth test, what will her median score be?

F 89 G 90

H 98 J 99

5. Nicole is buying a new pair of sunglasses. She has narrowed her choice down to 7 pairs. The prices of the sunglasses are shown in the following table.

Sunglasses PriceBugari $70

Movad $130

20/20 $50

Stella $80

Kyan Des $130

Misel $190

Aura $120

Which measure of data is represented by $140?

A Mean B Mode

C Median D Range

6. Referring to Question 5, which measure of data is represented by $130?

F Mean G Mode

H Median J Range

7. The last three plays at the Stray Cat Theater had 5, 8, and 4 actors, respectively. Thetheater is going to put on a fourth play. Which of the following numbers of actors would give the theater a range of 6 actors over these four plays?

A 6 B 7

C 10 D Not here



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TAKS

1. Five horses are rented from a local stable. Their weights in pounds appear in the graph below.

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1800

1900

2000

2100

2200

2300

Ty JoEls Mo Ben

Horse

Weig

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Which statement is not supported by the graph? (7.11.B)

A Els is the youngest horse at the stable.

B Ty weighs 100 pounds less than Jo.

C Jo and Els together weigh as much as Mo and Ty together.

D Ben weighs 300 pounds more than Mo.

2. Jeremy spends the day at the famous geyser, Old Faithful. He stays for 6 eruptions, and records the time between each. Old Faithful averages 76 minutes between each eruption. What should the fifth interval be to achieve the same mean? (7.12.B)

Interval 1 2 3 4

Time (min) 72 68 80 79

F 76 G 81

H 86 J 144

3. There are seven boats that weigh a total of 22,640 pounds. An eighth boat weighs 2,960 pounds. What is the mean weight of these eight boats? (7.12.A)

A 2,830 pounds

B 2,960 pounds

C 3,097 pounds

D 3,200 pounds

4. Ms. Davanzo has 2 apples, 3 pears, and 2 bananas. She is planning to make a fruit salad using three pieces of fruit. The list below shows all possible distinct combinations of fruit, with the exception of one. (7.10.A)

Apple Apple Pear

Apple Apple Banana

Apple Pear Banana

Apple Banana Banana

Pear Pear Pear

Pear Pear Banana

Pear Banana Banana

Which possible combination is missing?

F Apple, Pear, Banana

G Apple, Apple, Apple

H Apple, Pear, Pear

J Apple, Apple, Banana

5. Mr. LeFort’s class has 20 students. The following diagram represents these students.

10 55

Which situation in the class could best be represented by this graph? (7.11.A)

A There are 10 girls and 10 boys.

B 5 students always bring their lunch, 5 always buy it at school, and 10 sometimes buy it and sometimes bring it.

C 10 students sit in the middle, and 5 sit on each side.

D 5 students are earning A’s, 10 are earning B’s, and 5 are earning C’s.


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Objective 6The student will demonstrate an understanding of patterns, relationships, andalgebraic reasoning.

Pages Tracker TEKS

7.13 Underlying processes and mathematical tools. The student appliesGrade 7 mathematics to solve problems connected to everyday experiences, investigations in other disciplines, and activities in and outside of school. The student is expected to:

80–81 h 7.13.A identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics

82–83 h 7.13.B use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness

84–85 h 7.13.C select or develop an appropriate problem-solving strategy from a variety of different types, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem

7.14 Underlying processes and mathematical tools. The student communicates about Grade 7 mathematics through informal and mathematical language, representations, and models. The student is expected to:

86–87 h 7.14.A communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models

7.15 Underlying processes and mathematical tools. The student uses logical reasoning to make conjectures and verify conclusions. The student is expected to:

88–89 h 7.15.A make conjectures from patterns or sets of examples and nonexamples

90–91 h 7.15.B validate his/her conclusions using mathematical properties and relationships



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7.13.A Identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics.

A table is one way to display information in an organized way. By carefully interpreting a table, you can find out how the pieces of information are related. You can make conclusions about the information based on the table.

The net profit of a company for each of five consecutive years is shown in the table. Some statements that are supported by the information in the table include:

• The greatest increase in net profit for 2 consecutive years occurred from 2002 to 2003.

• The greatest decrease in net profit for 2 consecutive years occurred from 2003 to 2004.

• In the years 2003, 2005, and 2006, the net profit was about the same.

EXAMPLE

The population of Clifford for each of five consecutive years is shown in the table. Write true or false beside each statement about the information in the table.

1. The greatest increase in population for 2 consecutive years occurred from 2003 to 2004.

2. The population decreased only once between 2 consecutive years.

3. The population was about the same in 2002 and 2004.

4. In general, the population ofClifford had been increasing through the years from 2002to 2006.

YOU DO IT


Company Profits

Year Net profit (millions of dollars)

2002 8.3

2003 10.3

2004 8.9

2005 10.2

2006 10.1

Population of Clifford

Year Population2002 5,000

2003 6,500

2004 8,000

2005 6,500

2006 9,000

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TAKS

1. Kayla is making two sets of curtains for her bedroom windows. The smaller curtains

require 3 3}4 yards of material. The larger

curtains require twice as much material as the smaller curtains. Which equation can be used to find n, the number of yards of

material needed to make the larger curtains?

A n 5 3 3}4

1 2 B n 5 3 3}4

2 2

C n 5 3 3}4

3 2 D n 5 3 3}4

4 2

2. The number of egrets in the preserve in five consecutive years is shown in the table.

Egrets in the Preserve

Year Number Year Number2002 32 2005 30

2003 39 2006 36

2004 29

Which statement is supported by the information in the table?

F The number of egrets in 2004 was 10% fewer than the number in 2003.

G The greatest increase in the number of egrets for 2 consecutive years occurred from 2002 to 2003.

H The greatest decrease in the number of egrets for 2 consecutive years occurred from 2005 to 2006.

J The number of egrets in both 2003 and 2004 was greater than the number of egrets in both 2005 and 2006.

3. If Mercury is 0.39 astronomical units from the Sun and Pluto is 39.5 astronomical units, about how many times farther from the Sun is Pluto than Mercury?

A 10 B 39

C 100 D 1000

4. A store pays $19 for a shirt and uses a 35% markup. Which equation can be used to find s, the selling price of the shirt?

F s 5 19 1 (19 3 0.35)

G s 5 19 2 (19 3 0.35)

H s 5 35 3 19 1 19

J s 5 35 2 (2 3 19)

5. Mr. Chen drove his car 768 miles to visit his brother. The average price of gasoline was $2.65 per gallon. What information is needed to find the total amount Mr. Chen spent on gasoline for the trip?

A Number of hours the trip took

B Number of miles per hour the car traveled

C Average number of miles the car traveled per gallon of gasoline

D Average number of miles Mr. Chen drove per day

6. Tyler bought 2 posters for $11.95 each and a set of markers. Without tax, the total cost for the posters and the set of markers was $28.85. What was the cost of the markers?


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TAKS

7.13.B Use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness.

You can use the following four steps to solve any math problem.

STEP 1: Understand the problem. What facts do you know? What do you need to find out? Is there enough information or extra information?

STEP 2: Planhow to solve the problem. How do the facts relate to one another? What is an appropriate method to use to solve the problem?

STEP 3: Solvethe problem usingyour plan.

STEP 4: Evaluatethe solution for reasonableness.

A bus stops at the station every half hour between 10 A.M. and 3 P.M. and every15 minutes between 3 P.M. and 5 P.M. What method can be used to find the number of times the bus stops between 10 A.M. and 5 P.M.?

Understand You know the bus stops every half hour from 10 A.M. to 3 P.M. andevery 15 minutes from 3 P.M. to 5 P.M. You need to determine a method to find the total number of stops the bus makes at the station between 10 A.M. and 5 P.M.

Plan List all the times between 10 A.M. and 3 P.M. in which the bus stops at the station: 10:00, 10:30, . . . , 3:00. List all the times between 3 P.M. and 5 P.M. in which the bus stops: 3:15, 3:30, . . . , 5:00. Then count the total number of times.

EXAMPLE

Emily bought 3 boxes of cereal for $2.95 each and 2 cartons of milk for $1.19 each.She gave the cashier $20. What method can be used to find the amount of changeEmily should receive?

1. Understand You know the price and number of each item purchased.

You know the amount Emily paid the cashier. You need to determine a

method to find .

2. Plan First, the number of each item by

its price. Next, the costs of all the items. Then,

the sum of the costs from the $20 payment.

YOU DO IT


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TAKS

1. A rhombus is divided into 4 congruent right triangles. What method can be used to find the area of the rhombus, given the area of one of the triangles?

A Add the area of the rhombus to the areas of the 4 triangles.

B Subtract the area of one triangle from the area of the rhombus.

C Multiply the area of the rhombus by 4.

D Multiply the area of one triangle by 4.

2. A researcher recorded the heights of tomato plants at the research nursery. A list of the plants and their heights is shown below.

Tomato Plant Heights on Day 14

Plantnumber

Height(cm)

Plantnumber

Height(cm)

52 19.43 65 23.43

21 12.90 23 12.56

98 13.78 38 23.50

45 23.23 27 13.48

89 19.21 16 19.14

What should the researcher do to organize the data in order to identify which plants had heights that were greater than the median height of this sample of plants?

F Add up all the plant heights.

G List the plant numbers in order from greatest to least.

H List the plant heights in order from least to greatest with their corresponding plant numbers.

J List the plant numbers in order from least to greatest with their corresponding heights.

3. Luis bought 3 CDs at $10.95 each, 2 DVDs at $19.99 each, 2 posters at $9.50 each, and 1 package of CD cases for $2.99. He paid 7.25% tax on the purchase. What other information is necessary to find Luis’s correct change?

A Total cost of the purchase

B Amount he gave the cashier

C Reason for buying the things he bought

D Amount he paid in tax

4. Mr. Garcia drove 280 miles from his home to King City. From King City, he drove 98 miles to Bohman. From Bohman, he drove 105 miles to Wellington before driving home. What additional information is necessary to find the number of miles Mr. Garcia drove?

F The product of 2 times the distance from his home to King City

G The sum of the distances from his home to King City, from King City to Bohman, and from Bohman to Wellington

H The distance between Wellington and his home

J The amount of time Mr. Garcia traveled between each set of cities

5. Regular pentagons A and B are similar. A length of one side of pentagon B is twice the length of one side of pentagon A. What method can be used to find the perimeter of pentagon B, given the length of one side of pentagon A?

A Multiply the length of one side ofpentagon A by 2 and then by 5.

B Multiply the length of one side ofpentagon A by 5 and then by 5.

C Multiply the length of one side ofpentagon A by 2 and then add 5.

D Multiply the length of one side ofpentagon A by 5 and then add 2.



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Grade 7 TAKS TestTAKS Objective 6TEKS 7.13.C Review84

TAKS

7.13.C Select or develop an appropriate problem-solving strategy from a variety of different types, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem.

You can use problem-solving strategies to help you solve math problems. Below are a few useful strategies to consider when you plan how to solve a problem.

Draw a Picture Look for a Pattern Work a Simpler ProblemAct It Out Guess and CheckWork Backwards Make a Table or List

This morning, Kyle spent 1}2 of the money he had on a magazine. Then he spent

$2.25 on a greeting card. Now he has $1.80 left. With how much did Kyle start?

You need to find how much money Kyle had at the beginning. You know what he had at the end and in the middle. So, by using the Work Backwards strategy, you can find what he had at the beginning.

$1.80 Start with what Kyle has now1 2.25 Undo the $2.25 he used for the card by adding it back.

$4.05

3 2 Undo the 1}2 he used for the magazine by multiplying by 2.

$8.10 Kyle started with $8.10.

EXAMPLE

Ms. Reyes is building a rectangular pool that is 10 feet wide and 20 feet long. The pool will have a walkway all the way around it that is 3 feet wide. What is the total area of the pool and walkway?

The Draw a Picture strategy will help.

1. Finish drawing the picture.

2. Total width is 1 10 1

, or

3. Total length is ,

or

4. Total area is

YOU DO IT

Objective 6TEKS 7.13.C Review

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TAKS

1. Four runners were in a race: Mary, David, Anna, and Robert. Anna finished before David. Robert finished after the two girls and before David. What information is needed to determine the order in which the runners crossed the finish line?

A Did Mary finish before or after Robert?

B Did David finish before or after Anna?

C Did Anna finish before or after Mary?

D Did Robert finish before or after David?

2. Cody has the same number of quarters, dimes, and nickels. He has $4 in coins in all. How many of each coin does he have?

F 5 G 8

H 10 J 12

3. ABC and FGH are similar.

A

F

H GC B5 in. 15 in.

h in.4 in.

Which choice shows the equations that can be used to find the area of FGH?

A First use 4}5 5

h}15

and then use

area 5 1}2(15h)

B First use 4}5 5

h}15

and then use

area 5 15h.

C First use 4}5 5

15}h

and then use

area 5 1}2(15h)

D First use 4}5 5

15}h

and then use

area 5 15h.

4. Mrs. Ito has a rectangular lawn that is 30 feet wide and 50 feet long and a rectangular garden beside the lawn that is 12 feet long.

A

G

F E50 ft

30 ft

12 ft

DC

B

What additional information could be used for Mrs. Ito to determine the amount offencing she will need to enclose the lawnand garden?

F The distance between C and G

G The distance between C and D

H The distance between F and G

J The distance between A and F

5. Brianna put 1}2 of her allowance in a savings

account. Then she spent $1.50 for a

notebook. She has $2.50 left. How much

is her allowance?

A $4 B $5.75

C $8 D $12.50

6. In a quiz game, the first question a playeranswers correctly is worth 2 points, thesecond is worth 4 points, and each additional correct answer is worth 8 points. How many questions must be answered correctly to get more than 100 points?

F 10 G 11

H 12 J 14



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TAKS

7.14.A Communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models.

You can help solve some math problems by translating the words and numbers into an expression or equation. Be sure to understand how all of the pieces of information in the problem are related.

By looking at each individual piece of information, you can translate mathematically to find a solution to the whole problem.


EXAMPLE Four friends are going to a movie in one car. They park the car for three hours in a parking lot that charges $2.50 per hour. The movie costs $7 per person. Write an equation that can be used to find the total cost of going to the movie.

Let t 5 total cost.

Total cost 5 Cost of Parking 1 Cost of movie

Total cost 5 Number of3

Parking1

Number of3

Cost per hours rate people person

t 5 (3 h) 3 ($2.50/h) 1 (4 people) 3 ($7/person)

An equation is: t 5 3 3 2.50 1 4 3 7.

Sean bought 2 pairs of sandals for $19.95 each and 2 shirts for $21.50 each. His mother gave him $10 to use. Write an equation that can be used to find how much of his own money Sean spent.

Let t 5 total amount spent by Sean.

1. The total amount spent by Sean is not equal to the total cost of purchase.

Explain.

2. Total cost 5 1 2

3. Describe how to find the cost of the sandals?

4. Describe how to find the cost of the shirts?

5. An equation is:

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TAKS

1. A serving of dry cereal weighs 60 grams. The cereal contains 18 grams of dried ber-ries. Which equation can be used to find x, the percent of berries in a serving of the cereal?

A x}100

5 18}60

B x}100

5 60}18

C x}18

5 78}100

D 60}78

5 x

}100

2. Which expression can be used to solve the problem below?

A white-water rafting company charges $80 per hour for equipment and guiding service plus $35.50 per person. What is the total cost for a 4-hour rafting trip for 25 people?

A 4 3 25 1 80 3 35.50

B 4 3 35.50 1 80 3 25

C 4 3 80 1 35.50 1 25

D 4 3 80 1 35.50 3 25

3. Mr. Jackson spends a total of 55 hours per week between his job and volunteering at the community center. He works at his job from 8:30 A.M. until 5:30 P.M., Monday through Friday. Which equation can be used to find t,the maximum number of hours Mr. Jackson volunteers at the community center?

A t 5 55 2 (5 3 8)

B t 5 55 2 (5 3 9)

C t 5 5 3 9 2 55

D t 5 5 3 9 1 55

4. A sporting goods store bought some basketballs and then sold them for $21.99 each. The store sold 23 in January and 34 in February. What piece of information is needed to find the amount of profit the store made from the sale of basketballs in January and February?

F Number of basketballs sold in March

G Total number of basketballs sold

H Number of basketballs bought by the store

J How much the store paid for the basketballs

5.

a° b°

x°

Which expression can be used to find the angle measure of x?

A 90 2 a 1 b

B 90 1 a 1 b

C 180 2 a 2 b

D 180 1 a 2 b

6. The circumference of a round table top is about 12 feet. Which equation can be used to find r, the radius of the table top?

F r 5 12}

G r 5 24}

H r 5 12}2

J r 5 24}2



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TAKS

7.15.A Make conjectures from patterns or sets of examples and nonexamples.

When you start to solve math problems, you analyze the data and look for how the pieces of data are related. In some problems, you can look for a pattern in the data and continue the pattern to find the solution.


Eric is starting to train for track. The first week, he ran 1 mile each day, the second

week he ran 1 1}4 miles each day, and the third week he ran 1

1}2 miles each day. If he

continues following this pattern, how far will he run each day of the sixth week?

First, make a table or a list of the miles you know so far.

Day Miles1 1

2 1 1}4

3 1 1}2

4 ?

5 ?

6 ?

Look at the differences in the number of miles ran each day between two consecutive days to see if there is a pattern.

Day 2 2 Day 1 5 1 1}4

2 1 5 1}4

Day 3 2 Day 2 5 1 1}2

2 1 1}4

5 1}4

The difference in number of miles ran between consecutive days is 1}4.

There is a pattern of adding 1}4 to the number of miles ran the previous day.

Thus, the number of miles ran on day 4 is 1 1}2

1 1}4

5 1 3}4, the number of

miles ran on day 5 is 1 3}4

1 1}4

5 2, and the number of miles ran on day 6

is 2 1 1}4

5 2 1}4.

EXAMPLE

Kelly started training for track. The first day she ran 6 laps, the second day she ran 12 laps, and the third day she ran 18 laps. If she continues to train in this pattern, how many laps will she run on the fifth day?

1. List the number of laps in order.

2. Look for the differences. What is the pattern rule?

3. How many laps did she run on the fourth and fifth days?

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TAKS

1. The table shows the favorite fruits of the students at Peters Middle School.

Favorite Fruits

Fruit StudentsApple 600

Banana 599

Peach 420

Pear 310

Based on the information in the table, which is a reasonable assumption?

A Pear is the most popular fruit.

B About the same number of students like bananas as like peaches.

C About 2 times as many students like apples as like pears.

D About 3 times as many students like bananas as like pears.

2. Erin is training for a swim meet. The first week she swam 30 minutes each day, thesecond week she swam 45 minutes each day, and the third week she swam 60 minuteseach day. If the pattern continues, howmany minutes will Erin swim each day inthe sixth week?

F 90 G 105

H 120 J 180

3. The table shows the number of snow skis a store sold each month.

Month Jan. Feb. Mar. Apr. May

Number 60 55 45 30 ?

Based on the information in the table, how many skis will the store likely sell in May?

A 25 B 20

C 15 D 10

4. John surveyed seventh graders about how many books they read last summer.

Books Read Last Summer

Books Seventh graders0–2 12

3–5 16

6–8 21

9–11 7

Based on the information in the table, which is a reasonable assumption?

F Half of the students read 6–11 books.

G The same number of students read 0–5 books as read 3–5 and 9–11 combined.

H More students read 0–5 books than read 6–11 books.

J Most students said they liked to read.

5. Mr. Thomas is estimating the monthlyoperating expenses for a new car, notincluding maintenance and repairs.Insurance will cost about $175 per month,and he expects to drive an average of125 miles per week. What additionalinformation does Mr. Thomas need toestimate his monthly operating expenses?

A The cost of fuel and distance to work

B The cost of fuel and the number of miles per gallon his car gets

C The cost of fuel and his weekly pay

D The number of gallons of fuel needed per week

6. What is likely the first number in the pattern?

, 63, 72, 81, . . .

F 46 G 48

H 54 J 60



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TAKS

7.15.B Validate conclusions using mathematical properties and relationships.

You use reasoning involving mathematical ideas every time you solve a mathproblem. You should be able to explain your underlying reasoning and themath ideas that make your solution a correct one.

When you follow the problem-solving steps, you solve the problem using yourplan and after you have solved the problem, you evaluate your solution to see ifit seems reasonable. You make conclusions based on the results.


ABD is a right angle, and the measure of ABC is 55°.

Gabrielle says that the measure of CBD is 35°.

B D

CA

55°

Her reasoning is:

• The measure of a right angle is always 90°.

• Therefore, the measures of angles inside a right angle must add up to 90°.

• Since the measure of ABC is 55°, the measure of CBD must be 180° 2 55°, or 35°.

EXAMPLE

Use reasoning to support Mrs. Johnson’s conclusion.

Apples sell at 5 pounds for $4.00 at SaveMart and at 4 pounds for $3.28 at Littleton Market. Mrs. Johnson says she will buy her apples at SaveMart because they are a better buy.

Complete Mrs. Johnson’s reasoning.

1. 1 pound of apples at SaveMart costs $4.00 4 pound(s),

or per pound.

2. 1 pound of apples at Littleton Market costs $3.28 4 pound(s),

or per pound.

3. $.80 is less per pound than per pound.

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TAKS

1. Ms. Guzman wants to buy some blueberry plants. Four nurseries in her neighborhood sell blueberry plants.

Nursery Blueberry plant priceLuke’s 1 for $9.95

Nida’s 2 for $19.95

Joe’s 3 for $29.79

Kai’s 4 for $39.79

If Ms. Guzman wants to save as much money as possible, at which nursery should she shop?

A Luke’s, because the selection is better.

B Nida’s, because each blueberry plant costs almost $9.98.

C Joe’s, because each blueberry plant costs $9.93.

D Kai’s, because she wants to buy4 blueberry plants.

2. The graph shows the parts of the city park that residents said they like the most.

Playground20%

Picnic area30%

Soccer field38%

Tenniscourt

What percent of the residents named tennis courts as the part they like the most?

F 12%, because the sum of the percents of all the sections should total 100%.

G 88%, because this is the sum of thepercents of the sections.

H 92%, because the sum of the percents of all the sections should total 180%.

J 272%, because the sum of the percents of all the sections should total 360%.

3. ABC and ABD are supplementary angles. If the measure of ABC is 39°, what is the measure of ABD?

A 51°, because the sum of the measures of supplementary angles is 90°.

B 39°, because the measures of supplementary angles are equal.

C 141°, because the sum of the measures of supplementary angles is 180°.

D 321°, because the sum of the measures of supplementary angles is 360°.

4. Alicia’s test scores were:

50, 75, 84, 84, 89, and 94.

To impress her parents, she removed the outlier, 50, in describing her overall score. Which statement best supports her reasoning?

F Removing 50 makes the mode greater.

G Removing 50 makes the median greater.

H Removing 50 makes the mean greater.

J Removing 50 makes the range greater.

5. One of the angle measures of a right triangle is 28°. What is the measure of the other two angles?

A 90° and 17°, because one angle of a right triangle is always 90° and the sum of the other two angles is always 45°.

B 90° and 62°, because one angle of a right triangle is always 90° and the sum of the other two angles is always 90°.

C 180° and 60°, because the sum of the

angles in a triangle is 180° and 1}3 of 180°

is 60°.

D 180° and 152°, because the sum of the angles in a triangle is 180° and 180° 2 28° is 152°.



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TAKS Objective 6Mixed Review


TAKS

1. The table shows the number of points each team made in each playoff game. (7.13.A)

Points Scored in Each Playoff Game

Game 1 2 3 4 5 6

Team A 24 21 27 32 48 35

Team B 49 22 31 24 32 28

Which statement is supported by the information in the table?

A The total number of points for the 6 games is much greater for Team A than for Team B.

B Team B had a greater decrease in number of points scored between Games 1 and 2 than between Games 5 and 6.

C Team A and Team B made about the same number of points during each game.

D The difference between the scores ofTeam A and Team B is greatest for game 5.

2. Which equation can be used to solve the problem below?

Kelsey and 3 of her friends are going for a 2-night camping trip in a state park. The park charges an entrance fee of $6.50 per person and $18 per night for a group campsite. Kelsey bought 6 packages of freeze-dried meals at $3.25 each for the group to share. What is the total cost for the camping trip? (7.14.A)

F c = 3(6.50) + 2(18) + 6(3.25)

G c = 4(6.50 + 18 + 3.25)

H c = 4(6.25 + 2 + 18 + 6 + 3.25)

J c = 4(6.50) + 2(18) + 6(3.25)

3. Amber has $6 in coins. If she has the same number of quarters, dimes, and nickels, how many of each coin does she have? (7.13.C)

A 8 B 12

C 15 D 18

4. RST and TSU are complementary angles. If the measure of RST is 79°, what is the measure of TSU? (7.15.B)

F 11°, because the sum of the measures of complementary angles is 90°.

G 79°, because the angle measures of complementary angles are equal.

H 101°, because the sum of the measures of complementary angles is 180°.

J 281°, because the sum of the measures of complementary angles is 360°.

5. Mrs. Galvez started a new daycare center. The table shows the number of children who attended each week. (7.15.A)

Week 1 2 3 4 5

Children 11 15 19 23 27

Based on the information in the table, how many children will likely attend the center in the eighth week?

A 31

B 35

C 39

D 43

6. Andrew bought 4 pansy plants for $.79 each, 3 impatiens plants for $.59 each, 2 geranium plants for $2.75 each, and an apple tree for $19.95. He paid 8.25% tax on the purchase. What other information is necessary to find Andrew’s correct change? (7.13.B)

F Amount he paid in tax

G Total cost of the purchase

H Amount he gave the cashier

J The size of each plant



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Mathematics Chart 93TAKS Objectives Review and PracticeGrade 7 TAKS Test

Grade 7Mathematics Chart

Length

Metric Customary

1 kilometer 5 1000 meters 1 mile 5 1760 yards

1 meter 5 100 centimeters 1 mile 5 5280 feet

1 centimeter 5 10 millimeters 1 yard 5 3 feet

1 foot 5 12 inches

Capacity and Volume

Metric Customary

1 liter 5 1000 milliliters 1 gallon 5 4 quarts

1 gallon 5 128 ounces

1 quart 5 2 pints

1 pint 5 2 cups

1 cup 5 8 ounces

Mass and Weight

Metric Customary

1 kilogram 5 1000 grams 1 ton 5 2000 pounds

1 gram 5 1000 milligrams 1 pound 5 16 ounces

Time

1 year 5 365 days

1 year 5 12 months

1 year 5 52 weeks

1 week 5 7 days

1 day 5 24 hours

1 hour 5 60 minutes

1 minute 5 60 seconds

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Mathematics ChartTAKS Objectives Review and Practice

Grade 7 TAKS Test94

Grade 7 Mathematics Chart

Perimeter square P 5 4s

rectangle P 5 2 1 2w or P 5 2( 1 w)

Circumference circle C 5 2p r or C 5 pd

Area square A 5 s2

rectangle A 5 w or A 5 bh

triangle A 5 1}2 bh or A 5

bh}2

trapezoid A 5 1}2 (b1 1 b2)h or A 5

(b1 1 b2)h}

2

circle A 5 p r 2

Volume cube V 5 s3

rectangular prism V 5 wh or V 5 Bh*

cylinder V 5 pr2h or V 5 Bh*

*B represents the area of the Base of a solid figure.

Pi p p ø 3.14 or p ø 22}7

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Practice Test AAnswer Sheet 95


TAKS

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Practice Test AAnswer Sheet

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Practice Test BAnswer Sheet


TAKS

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Practice Test BAnswer Sheet

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Practice Test A 97TAKS Objectives Review and PracticeGrade 7 TAKS Test

TAKS

DIRECTIONS

Read each question. Then fill in the correct answer on your answer document. If a correct answer is not here, mark the letter for “Nothere.”

SAMPLE A

Find the greatest common factor of 20 and 35.

A 2

B 5

C 10

D Not here

SAMPLE B

Find the area of this square tile in square centimeters.

10.2 cm


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Practice Test ATAKS Objectives Review and Practice

Grade 7 TAKS Test98

TAKS Practice Test A

GO ON

1 George uses 8 ounces of pizza sauce to make 2 pizzas. How many ounces does he need to make 8 pizzas?

A 10 ounces

B 16 ounces

C 32 ounces

D 64 ounces

2 Which of the following points lie within the triangle graphed below?

O

5

x

y

4

3

2

1

2

3

4

5

5 4 3 2 54321

F (2, 23)

G (23, 2)

H (23, 22)

J (22, 23)

3 Mr. Wilson needs to paint the lines for the new soccer field. The longer sides will be

16 2}3 yards long, and the shorter sides will

be 3}4 the length of the longer sides. Which

equation can be used to find s, the length of the shorter side?

A s 5 16 2}3

1 3}4

B s 5 16 2}3

2 3}4

C s 5 16 2}3

3 3}4

D s 5 16 2}3

4 3}4

4 A rectangular swimming pool of uniform depth has a base with an area of 48 square feet. If its volume is 240 cubic feet, which expression could be used to find its depth?

F 240 1 48

G 240 2 48

H 240 48

J 240}48

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5 Which angles are not complementary?

VXR

T

US

40°

40°50°

50°

A RXS and TXU

B SXT and TXU

C RXS and SXT

D TXU and UXV

GO ON

6 A circular pizza is divided into eight equally sized and shaped pieces by making four cuts through the center of the pizza.

What method can be used to find the diameter of the pizza, given the dimensions of one of the slices?

F Find the area of the slice, and multiply it by 8.

G Find the perimeter of the slice and multiply it by 8.

H Multiply the length of the straight edge of one piece by 2.

J Multiply the length of the curved edge of one piece by 8.

7 An architect designed a home with the following floor plan, as shown in the shaded part of the grid below.

Each square on the grid is 10 feet by 10 feet. What will be the approximate perimeter of the house?

A 150 feet

B 220 feet

C 230 feet

D 240 feet

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Grade 7 TAKS Test100


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8 J.D. and Jorgelina are selling their house. A list of all the houses sold on their street in the past year and their prices are shown below.

Houses Sold on Flora Avenue

Address Price

7305 $145,000

7402 $169,900

7009 $181,000

7137 $124,500

7646 $155,000

7522 $110,000

8004 $97,500

7800 $162,000

What should J.D. and Jorgelina do to the data in order to identify which houses sold for more than the mean house price on their street?

F They should add up all the prices and divide by 8.

G They should list the prices in order from least to greatest.

H They should list the addresses from least to greatest with their corresponding prices.

J They should order the prices fromgreatest to least with their corresponding addresses.

9 A cylindrical silo used to store wheat is30 feet high. It has a radius of 5 feet. Use the approximation ø 3.14 to estimate the volume of wheat the silo can hold to the nearest cubic foot.


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10 A pair of basketball shoes is normally priced at $80.00. They are on sale for 60% of the original price. Which equation can be used to find x, the sale price?

F x}80

5 60}100

G 60}x 5

80}100

H x

}80

5 100}160

J x}100

5 60}80

11 Billy mows lawns during the summer. He charges based on the area of the lawn. The Chambers’s lawn is shown by the shaded part of the diagram below.

100 ft

20 ft

20 ft

50 ft

30 ft60 ft

What is the area of the lawn?

A 280 ft2

B 1900 ft2

C 4100 ft2

D 6000 ft2

12 Which rule generates the sequence

4, 7, 10, 13, 16, …


F 3n 1 1

G 4n

H 7n 2 3

J n 1 3

13 The table below shows the average weights of four different animals at a local zoo.

Animal Weight

Gorilla 400 lb

Cow 1000 lb

Giraffe 2500 lb

Elephant 10,000 lb

Based on the information in the table, which of the following is a reasonable assumption?

A Cows weigh twice as much as gorillas.

B Elephants are the heaviest animals in the world.

C Giraffes weigh twice as much as cows.

D Elephants weigh 4 times as much as giraffes.

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14 A basketball team won 3}4 of its 20 games

last season. What was the team’s winning percentage?

F 5%

G 25%

H 60%

J 75%

15 A complete science kit consists of 12 test tubes, 5 vials, and 3 beakers. What percent of the kit items are test tubes?

A 12%

B 25%

C 33%

D 60%

16 A 4-sided swimming pool is being built in the new community center.

70°


F Rectangle

G Square

H Rhombus

J Trapezoid

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18 Gianni set the school record for the100-meter dash. The math club sponsoreda contest to calculate his speed in milesper hour. Which of the following answers seems most reasonable?

F 1.00 mi/h

G 20 mi/h

H 60 mi/h

J 100 mi/h

17 Mr. Wilson is installing a circular window in his front door. The template he isplanning to use is shown below. Use a ruler to measure the radius of the windowin centimeters.

Window

Which of the following is closest to the circumference of the window?

A 6 cm

B 9 cm

C 19 cm

D 28 cm

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A Beverage Can Sizes

Height

Vo

lum

e

1

5101520253035404550

2 3 4 5 6 7 8 9 10

B Beverage Can Sizes

Height

Vo

lum

e

5

123456789

10

10 15 20 25 30 35 40 45 50

C Beverage Can Sizes

Height

Vo

lum

e

5

5101520253035404550

10 15 20 25 30 35 40 45 50

D Beverage Can Sizes

Height

Vo

lum

e

1

5101520253035404550

2 3 4 5 6 7 8 9 10

19 The data in the table below show the relationship between the height of a beveragecan in inches, x, and its approximate volume in cubic inches, y.

Height inInches, x

Volume in CubicInches, y

2 10

3 15

5 25

6 30


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21 A 12-foot high memorial has been placed downtown. The base of the sculpture is an equilateral triangle with an area of 6 square feet. What is the volume of the obelisk, in cubic feet?

A 24 cubic feet

B 36 cubic feet

C 72 cubic feet

D 432 cubic feet

22 Roller Skateboard Park needs to tile its front entrance. Only the trapezoidal area under the welcome desk will not be tiled.

10 ft

20 ft

5 ft15 ft

6 ft

How many square feet of tile will be used?

F 45 ft2

G 245 ft2

H 255 ft2

J 300 ft2

20 What is the common difference between the terms in the sequence?

Position 1 2 3 4 5 n

Value of Term 2 7}2

5 13}2

8 3}2n 1

1}2

F 1}2

G 1

H 3}2

J 2

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24 A race car finished the first 200 laps of a 500-lap race in 1 hour, 20 minutes and the last 300 laps in 2 hours, 10 minutes. What piece of information is needed to determine the race car’s average speed?

F Top speed of the car

G Time each lap took

H Final position of the car

J Distance of one lap

25 Last year, the average price of a video game was $40.00. This year, it was $50.00. What is the percent of increase in price?

A 10%

B 20%

C 25%

D 40%

23 Which model best represents the expression 3}4

3 1}3 ?

A C

B D

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27 Mike and his friends are playing a card game where only the suits (hearts, diamonds, spades, and clubs) matter. Mike has 8 cards total and must get rid of 3. He has 4 hearts, 1 diamond, 2 clubs and 1 spade. Which list shows all the possible unique combinations of cards he can get rid of?

GO ON

26 Which expression is represented by the model below?

102 1345 2 3 4 5

F 4 2 2

G 4 2 6

H 26 1 2

J 24 1 2

A Heart Heart Diamond

Heart Heart Club

Heart Heart Spade

Heart Diamond Club

Heart Diamond Spade

Heart Club Spade

Diamond Club Spade

B Heart Diamond Club

Heart Diamond Spade

Heart Club Spade

Diamond Club Spade

C Heart Heart Heart

Heart Heart Diamond

Heart Heart Club

Heart Heart Spade

Heart Diamond Club

Heart Diamond Spade

Heart Club Club

Heart Club Spade

Diamond Club Club

Diamond Club Spade

Club Club Spade

D Heart Heart Heart

Heart Diamond Club

Club Spade

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28 A football team has 10 players who weigh a total of 1740 pounds. The eleventh player weighs 240 pounds. What is the mean weight of the players on this team?

F 174 pounds

G 180 pounds

H 207 pounds


29 The seventh grade girls’ basketball team at Ross Middle School won their last game. The following table lists the points each player scored.

Player Points

Tina 9

Julie 6

Michelle 8

Sarah 5

Jenny 12

Alma 12

Candice 11

Which measure of the data is 7?

A Mean

B Mode

C Median

D Range

30 Simplify the expression below.

252 1 3(12 2 5)

F 2154

G 24

H 6

J 46

31 31.2% of all active military personnel are female. Which number is equivalent to 31.2%?

A 3.12

B 312}1000

C 3120.0

D 312}100

GO ON

Practice Test A

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32 Which of the following relationships is best represented by the data in the graph?

2

123456789

10

4 6 8 10 12 14 16 18 20

F Conversion of feet to yards

G Conversion of quarts to gallons

H Conversion of ounces to cups


33 Which point in the graph below is correctly labeled?

O

A

B

D

C

x

y

5 4 3 2 1 2 543

5

4

3

2

1

2

3

4

5

A A (3, 2)

B B (4, 3)

C C (24, 23)

D D (23, 24)

34 Which model represents 52?

F

10

5

G

H

5

5

5

J

GO ON

Practice Test A

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35 The table below shows the number of motor vehicles sold in the month of May.

May Vehicle Sales

Type of Vehicle

Am

ou

nt

So

ld (

tho

usan

ds)

0

100

PWCs

Boats

Moto

rcyc

lesVan

s

Truck

sSUVs

Cars

200

300

400

500

600

Which statement is supported by these data?

A The same number of PWCs and boats were sold in May.

B The number of SUVs sold was double the number of vans sold.

C More motorcycles were sold than trucks.

D The number of cars sold was 7 times the number of boats.

GO ON

36 Macey’s car gas tank holds 14 gallons. If she adds 7.21 gallons of gas, her car’s tank will be full. Which of the following equations can be used to determine x, the amount of gas her car currently has in the tank?

F 6.79 1 7.21 5 x

G x 1 7.21 5 14

H x 2 14 5 7.21

J 7.21 2 14 5 x

37 Mary needs to organize her wrenches. The

sizes (in inches) that she has are 1}4,

1}2,

5}16

, 3}8,

3}4,

7}16

. Which list has the sizes ordered from

least to greatest?

A 1}4,

1}2,

5}16

, 3}8,

3}4,

7}16

B 1}4,

3}8,

1}2,

5}16

, 7

}16

, 3}4

C 1}4,

5}16

, 3}8,

7}16

, 1}2,

3}4

D 1}2,

1}4,

3}4,

3}8,

5}16

, 7

}16

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A

B

C

D

38 The following graph presents the usage of 3 different ice sports at Creve Coeur Ice Arena.

SpeedSkating Figure

Skating

Ice Hockey

Ice Arena Usage

Which statement is not supported by these data?

F Figure skating uses the rink more than speed skating.

G Figure skating and ice hockey use the rink equally.

H Speed skating uses the ice arena approximately 25% of the time.

J There are twice as many hours dedicated to ice hockey as speed skating.

39 The top, side, and front views of a solid figure made up of cubes are shown below.

Top Side Front


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40 Ms. Chiu, the librarian, received 28 new books this week. The following data summarize the books’ possible shelf locations.

Shelf Location Books

Fiction Only 20

Fiction and Sports 5

Fiction and Music 3


F

FictionOnly

Fiction andSports

Fiction andMusic

5

0

10

15

20

25 H

FictionOnly

Fiction andSports

Fiction andMusic

G

FictionOnly

Fiction andSports

Fiction andMusic

5

0

10

15

20

25 JSports Fiction

205 3

Music

41 At Harf Middle School, 1}8 of the 7th grade class speaks more than one

language. What percent of the 7th grade class speaks more thanone language?

A 8%

B 12.5%

C 18%

D 78%

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GO ON

43 The figure below was transformed from quadrant I to quadrant II.

O x

y10

2 4 6 8 1010 8 6 4

4

6

8

10

8

6

2

4


A Translation

B Reflection across a horizontal axis

C Tessellation

D Reflection across a vertical axis

44 The model represents the equation x 1 3 5 22.

X

Key1 1


F x 5 26

G x 5 25

H x 5 1

J x 5 5

42 Dr. Garcia measured four patients.

Patient Height Weight

Jorge 60 inches 240 pounds

Ron 61 inches 240 pounds

Carter 62 inches 235 pounds

Desi 65 inches 250 pounds

Which patient has the greatest ratio of weight to height?

F Jorge

G Ron

H Carter

J Desi

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45 Jim is buying 8 packs of trading cards for $1.10 per pack. If he wants to use the smallest single bill possible to pay for the cards, what should he use?

A $1 bill

B $5 bill

C $10 bill

D $20 bill

46 Lindsay’s scores on her math tests are shown in the table below.

Test Score

1 96

2 95

3 89

4 82

5 96

6 ?

What score should she have on test 6 inorder for the median to be 94?

F 91

G 93

H 94

J 106

47 An airplane using 80% of its power can fly 400 miles per hour. Approximately how fast can it fly when using 100% of its power?

A 320 mi/h

B 420 mi/h

C 500 mi/h

D 600 mi/h

48 Mr. Mooney is planning on painting his house. He calculated that the surface area to be painted is 1400 square feet. If paint costs $15.97 per gallon, what information is needed to find the amount of money Mr. Mooney will need to spend on paint?

F The number of walls to be painted

G The area one gallon covers

H The time it takes to use one gallon

J The mean number of gallons used to paint a house

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Práctica: Examen A 115TAKS Objetivos: Repaso y prácticaTAKS Grado 7: Examen

TAKS

INSTRUCCIONES

Lee cada pregunta. Después rellena la respuesta correcta en tu hoja de respuestas. Si no hayninguna respuesta correcta, marca la letra que corresponde a “Ninguna”.

EJEMPLO A

Halla el máximo común divisor de 20 y 35.

A 2

B 5

C 10

D Ninguna

EJEMPLO B

Halla en centímetros cuadrados el área de esta baldosa cuadrada.

10.2 cm

Anota tu respuesta y rellena los círculos en tu hoja de respuestas. Asegúrate de usar el valor posicional correcto.

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Práctica: Examen A TAKS Objetivos: Repaso y práctica

TAKS Grado 7: Examen116

TAKS Práctica: Examen A

CONTINÚA

1 George usa 8 onzas de salsa para pizza para hacer 2 pizzas. ¿Cuántas onzas necesita para hacer 8 pizzas?

A 10 onzas

B 16 onzas

C 32 onzas

D 64 onzas

2 ¿Cuáles de los siguientes puntos están dentro del triángulo dibujado a continuación?

1O

2

1

2

3

4

5

3

4

5

2345 2 3 4 5 x

y

F (2, 23)

G (23, 2)

H (23, 22)

J (22, 23)

3 El Sr. Wilson necesita pintar las líneas de un nuevo campo de fútbol. Los lados más largos

tendrán 16 2}3 de yarda de longitud y los más

cortos tendrán 3}4 de la longitud de los lados

largos.

¿Qué ecuación puede usarse para hallar l,la longitud del lado más corto?

A l 5 16 2}3

1 3}4

B l 5 16 2}3

2 3}4

C l 5 16 2}3

3 3}4

D l 5 16 2}3

4 3}4

4 Una piscina rectangular de profundidad uniforme tiene una base cuya área mide 48 pies cuadrados. Si tiene un volumen de 240 pies cúbicos, ¿qué expresión puede usarse para hallar su profundidad?

F 240 1 48

G 240 2 48

H 240 48

J 240}48

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5 ¿Qué ángulos no son complementarios?

VXR

T

US

40°

40°50°

50°

A RXS y TXU

B SXT y TXU

C RXS y SXT

D TXU y UXV

CONTINÚA

6 Se divide una pizza circular en ocho porciones con la misma forma y tamaño haciendo cuatro cortes por el centro de la pizza.

¿Qué método puede usarse para hallar el diámetro de la pizza, dadas las dimensiones de una de las porciones?

F Hallar el área de la porción y multiplicarla por 8.

G Hallar el perímetro de la porción y multiplicarlo por 8.

H Multiplicar la longitud del borde recto de una porción por 2.

J Multiplicar la longitud del borde curvado de una porción por 8.

7 Un arquitecto diseñó una casa con la siguiente planta, como se muestra en la parte sombreada de esta cuadrícula.

Cada cuadrado en la cuadrícula mide 10 por 10 pies. ¿Cuál será el perímetro aproximado de la casa?

A 150 pies

B 220 pies

C 230 pies

D 240 pies

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CONTINÚA

8 J.D. y Jorgelina van a vender su casa. A continuación tienes una lista de todas las casas vendidas el año pasado en su calle y sus precios.

Casas vendidas en Flora Avenue

Dirección Precio

7305 $145,000

7402 $169,900

7009 $181,000

7137 $124,500

7646 $155,000

7522 $110,000

8004 $97,500

7800 $162,000

¿Qué deberían hacer J.D. y Jorgelina con los datos para identificar qué casas de su calle se vendieron a un precio por encima de la media?

F Deberían sumar todos los precios y dividir por 8.

G Deberían enumerar los precios de menor a mayor.

H Deberían enumerar las direcciones de menor a mayor con sus precios correspondientes.

J Deberían ordenar los precios de mayor a menor con sus correspondientes direcciones.

9 Un silo cilíndrico usado como almacén de trigo tiene 30 pies de alto y un radio de 5 pies. Usa la aproximación ø 3.14 para estimar el volumen de trigo que se puede almacenar en el silo al pie3 más cercano.


9

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CONTINÚA

10 Un par de botas de baloncesto tiene un precio habitual de $80.00. Están rebajados un 60% del precio original. ¿Qué ecuación puede usarse para hallar x, el precio rebajado?

F x}80

5 60}100

G 60}x 5

80}100

H x}80

5

J x}100

5 60}80

11 Billy corta césped durante el verano. Cobra según el área del césped. Este diagrama muestra en su parte sombreada el césped de los Chambers.

100 pies

20 pies

20 pies

50 pies

30 pies60 pies

¿Qué área tiene el césped?

A 280 pies2

B 1900 pies2

C 4100 pies2

D 6000 pies2

12 ¿Qué regla genera la secuencia

4, 7, 10, 13, 16, …

donde n representa la posición de un término en la secuencia?

F 3n 1 1

G 4n

H 7n 2 3

J n 1 3

13 La siguiente tabla muestra el peso promedio de cuatro animales diferentes en un zoo local.

Animal Peso

Gorila 400 libras

Vaca 1000 libras

Jirafa 2500 libras

Elefante 10,000 libras

Basándote en la información de la tabla, ¿cuál de las siguientes suposiciones es razonable?

A Las vacas pesan el doble que los gorilas.

B Los elefantes son los animales más pesados del mundo.

C Las jirafas pesan el doble que las vacas.

D Los elefantes pesan 4 veces lo que pesan las jirafas.

100160

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CONTINÚA

14 Un equipo de baloncesto ganó 3}4 de sus

20 partidos la temporada pasada. ¿Cuál fue el porcentaje de victorias del equipo?

F 5%

G 25%

H 60%

J 75%

15 Un kit completo de ciencias consta de 12 tubos de ensayo, 5 viales y 3 probetas. ¿Qué porcentaje de los objetos incluidos en el kit son tubos de ensayo?

A 12%

B 25%

C 33%

D 60%

16 Se está construyendo una piscina de 4 lados en un nuevo centro comunitario.

70°

¿Cuál de las siguientes palabras describe mejor el cuadrilátero según sus medidas?

F Rectángulo

G Cuadrado

H Rombo

J Trapecio

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CONTINÚA

18 Gianni tiene el récord de los 100 metros lisos en su escuela. El club de matemáticas organiza un concurso para calcular su velocidad en millas por hora. ¿Cuál de las siguientes respuestas parece más razonable?

F 1.00 mi./h.

G 20 mi./h.

H 60 mi./h.

J 100 mi./h.

17 El Sr. Wilson va a instalar una ventana circular en su puerta de entrada. A continuación tienes el diseño que quiere usar. Usa una regla para medir el radio de la ventana en centímetros.

Ventana

¿Cuál de las siguientes medidas está más próxima a la circunferencia de la ventana?

A 6 cm

B 9 cm

C 19 cm

D 28 cm

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CONTINÚA

A Latas de bebidas: Tamaños

Altura

Vo

lum

en

1

5101520253035404550

2 3 4 5 6 7 8 9 10

B Latas de bebidas: Tamaños

Altura

Vo

lum

en

5

123456789

10

10 15 20 25 30 35 40 45 50

C Latas de bebidas: Tamaños

Altura

Vo

lum

en

5

5101520253035404550

10 15 20 25 30 35 40 45 50

D Latas de bebidas: Tamaños

Altura

Vo

lum

en

1

5101520253035404550

2 3 4 5 6 7 8 9 10

19 Los datos de la siguiente tabla muestran la relación entre la altura x de una lata de bebida en pulgadas y su volumen aproximado y en pulgadas cúbicas.

Altura x(pulg.)

Volumen y(pulg.3)

2 10

3 15

5 25

6 30

¿Qué gráfica representa mejor los datos de la tabla?

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CONTINÚA

21 Un monumento conmemorativo de 12 pies de altura ha sido colocado en el centro de la ciudad. La base de la escultura es un triángulo equilátero cuya área mide aproximadamente 6 pies cuadrados. ¿Cuál es el volumen del obelisco en pies cúbicos?

A 24 pies cúbicos

B 36 pies cúbicos

C 72 pies cúbicos

D 432 pies cúbicos

22 Hay que poner baldosas en la entrada principal del parque Roller Skateboard a excepción del área con forma de trapecio debajo del mostrador de la recepción.

10 pies

20 pies

5 pies15 pies

6 pies

¿Cuántos pies cuadrados de baldosas se usarán?

F 45 pies2

G 245 pies2

H 255 pies2

J 300 pies2

20 ¿Cuál es la diferencia común entre los términos de la secuencia?

Posición 1 2 3 4 5 n

Valor del término 2 7}2

5 13}2

8 3}2n 1

1}2

F 1}2

G 1

H 3}2

J 2

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CONTINÚA

24 Un coche de carreras acabó las primeras 200 vueltas de una carrera de 500 vueltas en 1 hora y 20 minutos y las últimas 300 vueltas en 2 horas y 10 minutos.¿Qué información se necesita para determinar la velocidad promedio del carro durante toda la carrera?

F La velocidad máxima del carro

G El tiempo que toma 1 vuelta

H La posición final del carro

J La distancia de 1 vuelta

25 El año pasado el precio promedio de un juego de video fue de $40.00. Este año es de $50.00. ¿En qué porcentaje aumentó el precio?

A 10%

B 20%

C 25%

D 40%

23 ¿Qué modelo representa mejor la expresión 3}4

3 1}3 ?

A C

B D

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A corazón corazón diamante

corazón corazón trébol

corazón corazón pica

corazón diamante trébol

corazón diamante pica

corazón trébol pica

diamante trébol pica

B corazón diamante trébol




C corazón corazón corazón

corazón corazón diamante

corazón corazón trébol

corazón corazón pica



corazón trébol trébol


diamante trébol trébol


trébol trébol pica

D corazón corazón corazón


trébol pica

CONTINÚA

26 ¿Qué expresión representa este modelo?

102 1345 2 3 4 5

F 4 2 2

G 4 2 6

H 26 1 2

J 24 1 2

27 Mike y sus amigos juegan a un juego de cartas donde sólo valen los palos (corazones, diamantes, picas y tréboles). Mike tiene 8 cartas en total y debe soltar 3. Tiene 4 corazones, 1 diamante, 2 picas y 1 trébol. ¿Qué lista muestra todas las combinaciones posibles de cartas que puede soltar?

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28 Un equipo de fútbol tiene 10 jugadores que pesan en total 1740 libras. El undécimo jugador pesa 240 libras. ¿Cuál es el peso medio de los jugadores de este equipo?

F 174 libras

G 180 libras

H 207 libras

J No puede determinarse con la información proporcionada.

29 Las chicas del equipo de baloncesto de Grado 7 de la Escuela Intermedia Ross ganaron su último partido. La siguiente tabla enumera los puntos que marcó cada jugadora.

Jugadora Puntos

Martina 9

Julie 6

Michelle 8

Sarah 5

Jenny 12

Alma 12

Candice 11

¿Qué dato corresponde a 7?

A Media

B Moda

C Mediana

D Rango

30 Simplifica esta expresión.

252 1 3(12 2 5)

F 2154

G 24

H 6

J 46

31 El 31.2% de todo el personal militar activo son mujeres. ¿Cuáles de los siguientes números equivale a 31.2%?

A 3.12

B 312}1000

C 3120.0

D 312}100

CONTINÚA

Práctica: Examen A

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32 ¿Cuál de las siguientes relaciones representan mejor los datos de la gráfica?

2

123456789

10

4 6 8 10 12 14 16 18 20

F Conversión de pies a yardas

G Conversión de cuartos a galones

H Conversión de onzas a tazas

J Conversión de tazas a pintas

33 ¿Qué punto de esta gráfica está rotulado correctamente?

1O

2

1

2

3

4

5

3

4

5

2345 2

A

B

D

C

3 4 5 x

y

A A(3, 2)

B B(4, 3)

C C(24, 23)

D D(23, 24)

34 ¿Qué modelo representa 52?

F

10

5

G

H

5

5

5

J

CONTINÚA

Práctica: Examen A

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35 La siguiente tabla muestra el número de vehículos con motor vendidos en Mayo.

Ventas de vehículos: Mayo

Tipo de vehículo

Can

tid

ad

ven

did

a (

miles)

0

100

Moto

s acu

ática

s

Botes

Moto

ciclet

as

Furg

onetas

Camio

nes

Todote

rrenos

Carro

s

200

300

400

500

600

¿Qué afirmación apoyan los datos?

A En mayo se vendieron el mismo número de motos acuáticas que de botes.

B El número de todoterrernos vendidos fue el doble que el de furgonetas.

C Se vendieron más motocicletas que camiones.

D El número de carros vendidos fue 7 veces el número de botes.

CONTINÚA

36 El tanque de gasolina del carro de Macey tiene capacidad para 14 galones. Si ella añade 7.21 galones, su tanque estará lleno. ¿Cuáles de las siguientes ecuaciones puede usarse para determinar x, la cantidad de gasolina que hay en este momento en el tanque?

F 6.79 1 7.21 5 x

G x 1 7.21 5 14

H x 2 14 5 7.21

J 7.21 2 14 5 x

37 Mary necesita organizar sus llaves inglesas. Tiene los siguientes tamaños (en pulgadas):

1}4,

1}2,

5}16

, 3}8,

3}4,

7}16

. ¿Qué lista tiene los

tamaños ordenados de menor a mayor?

A 1}4,

1}2,

5}16

, 3}8,

3}4,

7}16

B 1}4,

3}8,

1}2,

5}16

, 7

}16

, 3}4

C 1}4,

5}16

, 3}8,

7}16

, 1}2,

3}4

D 1}2,

1}4,

3}4,

3}8,

5}16

, 7

}16

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CONTINÚA

¿Qué cuerpo geométrico representa mejor estas vistas?

A

B

C

D

38 La siguiente gráfica representa el uso de 3 deportes de hielo diferentes en la pistade hielo Creve Coeur.

patinajede velocidad patinaje

artístico

hockey sobre hielo

Pista de hielo: Usos

¿Qué afirmación no está apoyada por los datos?

F El patinaje artístico usa la pista más que el patinaje de velocidad.

G El patinaje artístico y el hockey sobre hielo usan la pista por igual.

H El patinaje de velocidad usa la pista aproximadamente un 25% del tiempo.

J Hay el doble de horas dedicadas al hockey sobre hielo que al patinaje de velocidad.

39 A continuación se muestran las vistas superior, lateral y frontal de un cuerpo geométrico compuesto por cubos.

superior lateral frontal

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CONTINÚA

40 La bibliotecaria, la señora Chiu, recibió 28 libros nuevos esta semana. Los siguientes datos resumen su posible ubicación en las estanterías.

Ubicación de laestantería

Número de libros

Sólo ficción 20

Ficción y deportes 5

Ficción y música 3

¿Qué gráfica representa mejor estos datos?

F

Marzo Abril Mayo

5

0

10

15

20

25 H

Sólo ficción

Ficción ydeportes

Ficción ymúsica

G

Sóloficción

Ficción ydeportes

Ficción ymúsica

5

0

10

15

20

25 J

Deportes Ficción

205 3

Música

41 En la Escuela Intermedia Harf, 1}8 de la clase de Grado 7 habla más de un idioma.

¿Qué porcentaje de la clase habla más de un idioma?

A 8%

B 12.5%

C 18%

D 78%

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CONTINÚA

43 La siguiente figura se transformó del cuadrante I al cuadrante II.

2O

4

2

4

6

8

10

6

8

10

46810 4 6 8 10 x

y

Esta transformación representa mejor una

A Traslación

B Reflexión sobre el eje horizontal

C Teselado

D Reflexión sobre el eje vertical

44 El modelo representa la ecuación x 1 3 5 22.

X

clave1 1

¿Cuál es el valor de x?

F x 5 26

G x 5 25

H x 5 1

J x 5 5

42 El Dr. Garcia pesó y midió a cuatro de sus pacientes.

Paciente Altura Peso

Jorge 60 pulgadas 240 libras

Ronald 61 pulgadas 240 libras

Carter 62 pulgadas 235 libras

Desi 65 pulgadas 250 libras

¿Qué paciente tendrá la mayor razón peso a altura?

F Jorge

G Ronald

H Carter

J Desi

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Práctica: Examen ATAKS Objetivos: Repaso y práctica


TAKS

PARA

45 Jim está comprando 8 paquetes de láminas a $1.10 cada uno. Si quiere usar el billete más pequeño para pagarlos, ¿cuál debería usar?

A billete de $1

B billete de $5

C billete de $10

D billete de $20

46 Esta tabla muestra las puntuaciones de Lindsay en sus exámenes de matemáticas.

Examen Puntuación

1 96

2 95

3 89

4 82

5 96

6 ?

¿Qué puntuación debería obtener en el examen 6 de forma que la mediana fuera 94?

F 91

G 93

H 94

J 106

47 Un aeroplano usando el 80% de su potencia puede volar a 400 millas por hora. Aproximadamente, ¿cómo de rápido puede volar cuando usa el 100% de su potencia?

A 320 mi./h.

B 420 mi./h.

C 500 mi./h.

D 600 mi./h.

48 El Sr. Mooney tiene pensado pintar su casa. Ha calculado que el área de superficie que debe pintarse es de 1400 pies cuadrados. Si la pintura cuesta $15.97 por galón, ¿qué información es necesaria para hallar la cantidad de dinero que el Sr. Mooney tendrá que gastar en pintura?

F El número de paredes que debe pintar.

G El área que cubre un galón.

H El tiempo que se tarda en usar un galón.

J El número promedio de galones usados para pintar una casa.

Práctica: Examen AP

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TAKS Objectives Review and PracticeGrade 7 TAKS Test Practice Test B 133

TAKS

DIRECTIONS

Read each question. Then fill in the correct answer on your answer document. If a correct answer is not here, mark the letter for “Not here.”

SAMPLE A

Find the greatest common factor of 20 and 35.

A 2

B 5

C 10

D Not here

SAMPLE B

Find the area of this square tile in square centimeters.

10.2 cm


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Practice Test BTAKS Objectives Review and Practice


TAKS

GO ON

1 Juan uses 14 ounces of pizza sauce to make 2 pizzas. How many ounces does he need to make 8 pizzas?

A 24 ounces

B 56 ounces

C 64 ounces

D 112 ounces

2 Which of the following points lie within the triangle graphed below?

O x

y

2345 1 2 3 4 5

2

3

4

5

1

2

3

4

5

F (2, 1)

G (21, 2)

H (22, 2)

J (2, 21 )

3 Mr. Wilson needs to paint the lines for the new soccer field. The longer sides will be

16 2}3 yards long, and the perimeter will be

56 2}3 yards. Which equation can be used to

find s, the length of the shorter side?

A s 5 56 2}3

2 16 2}3

B s 2 16 2}3

5 56 2}3

C 2s 1 2(16 2}3) 5 56

2}3

D s 5 2(56 2}3

2 16 2}3)

4 A rectangular swimming pool has a uniform depth of 6 feet. If its volume is 210 cubic feet, which expression could be used to find the area of its base?

F 210}

6 G 210 6

H 210 2 6

J 210 1 6

Practice Test BP

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Practice Test B 135TAKS Objectives Review and PracticeGrade 7 TAKS Test

TAKS Practice Test B

GO ON

6 A circular pizza is divided into eight equally sized and shaped pieces by making four cuts through the center of the pizza.

What method can be used to find the circumference of the pizza, given the dimensions of one of the slices?

F Find the area of the slice, and multiply it by 8.

G Find the perimeter of the slice and multiply it by 8.

H Multiply the length of the straight edge of one piece by 2.

J Multiply the length of the curved edge of one piece by 8.

7 An architect designed a home with the following floor plan, as shown in the shaded part of the grid below.

Each square on the grid is 10 square feet. What will be the approximate area of the house?

A 100 square feet

B 220 square feet

C 230 square feet

D 240 square feet

5 Which angles are not supplementary?

VXR

T

US

40°

40°50°

50°

A RXU and UXV

B SXT and TXU

C RXS and SXV

D RXT and TXV

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GO ON

8 J.D. and Jorgelina are selling their house.A list of all the houses sold on their street in the past year and their prices are shown below.

Houses Sold on Flora AvenueAddress Price

7305 $145,000

7402 $169,900

7009 $181,000

7137 $124,500

7646 $155,000

7522 $110,000

8004 $97,500

7800 $162,000

What should J.D. and Jorgelina do to the data in order to identify which houses sold for more than the median house price on their street?

F They should add up all the prices and divide by 8.

G They should list the prices in order from least to greatest.

H They should list the addresses from least to greatest with their corresponding prices.

J They should order the prices from least to greatest with their corresponding addresses.

9 A cylindrical silo used to store wheat is24 feet high. It has a diameter of 8 feet.Use the approximation < 3.14 to estimate the volume of wheat the silo can hold to the nearest hundredth of a cubic foot.


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GO ON

10 A pair of basketball shoes is on sale for $80.00. They are on sale for 60% of the original price. Which equation can be used to find x, the original price?

F 60}x 5

80}100

G 80}x 5

60}100

H x}60

5 80}100

J x}80

5 60}100

11 Billy mows lawns during the summer. He charges based on the area of the lawn. The Chambers’s lawn is shown by the shadedpart of the diagram below.

100 ft

15 ft

15 ft

50 ft

30 ft60 ft

What is the area of the lawn?

A 1725 ft2

B 4275 ft2

C 6000 ft2

D 7725 ft2

12 Which rule generates the sequence

10, 6, 2, 22, 26, …


F 4n 1 6

G 14 2 4n

H 16 2 6n

J 5n

13 The table below shows the average weights of four different animals at a local zoo.

Animal Weight

Gorilla 400 lb

Cow 1000 lb

Giraffe 2500 lb

Elephant 10,000 lb

Based on the information in the table, which of the following is a reasonable assumption?

A Cows weigh two and a half times as much as gorillas.

B Elephants are the heaviest animals in the world.

C Giraffes weigh four times as much as elephants.

D Gorillas are the lightest animals atthe zoo.

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GO ON

14 A basketball team won 4}5 of its 20 games

last season. What was the team’s winning percentage?

F 18%

G 40%

H 80%

J 85%

15 A complete science kit consists of 12 test tubes, 5 vials, and 3 beakers. What percent of the kit items are vials?

A 5%

B 25%

C 33%

D 75%

16 A 4-sided swimming pool is being built in the new community center.

70


F Rectangle

G Trapezoid

H Rhombus

J Parallelogram

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GO ON

18 The top speed of a cheetah is 71 miles per hour. Which of the following answers seems most reasonable for the distance a cheetah would cover in 25 minutes, at this speed?

F 25 miles

G 30 miles

H 40 miles

J 50 miles

17 Mr. Wilson is installing a circular window in his front door. The template heis planning to use is shown below. Use a ruler to measure the radius of thewindow in centimeters.

Window

Which of the following is closest to the area of the window?

A 19 cm2

B 27 cm2

C 28 cm2

D 113 cm2

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GO ON

19 The data in the table below show the relationship between the approximate volume ofa beverage can in cubic inches, x, and its height in inches, y.

Volume in Cubic Inches, x Height in Inches, y

10 2

15 3

25 5

30 6


A Beverage Can Sizes

Volume

Heig

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1

5101520253035404550

2 3 4 5 6 7 8 9 10

B Beverage Can Sizes

Volume

Heig

ht

5

123456789

10

10 15 20 25 30 35 40 45 50

C Beverage Can Sizes

Volume

Heig

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5101520253035404550

10 15 20 25 30 35 40 45 50

D Beverage Can Sizes

Volume

Heig

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1

5101520253035404550

2 3 4 5 6 7 8 9 10

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GO ON

20 What is the common difference between the terms in the sequence?

Position 1 2 3 4 5 n

Value of Term 3 7}2

4 9}2

5 1}2n 1

5}2

F 1}2

G 1

H 3}2

J 5}2

21 A 12-foot high memorial has been placed downtown. The base of the sculpture is an equilateral triangle with sides approximately 3 feet long, and an area of approximately4 square feet. What is the approximate volume of the obelisk, in cubic feet?

A 12 cubic feet

B 36 cubic feet

C 48 cubic feet

D 144 cubic feet

22 Roller Skateboard Park needs to tile its front entrance. Only the trapezoidal area under the welcome desk will not be tiled.

10 ft

20 ft

6 ft15 ft

5 ft

How many square feet of tile will be used?

F 40 ft2

G 260 ft2

H 300 ft2

J 340 ft2

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GO ON

24 A race car finished the first 200 laps of a500-lap race in 1 hour, 20 minutes. One lap is 1.3 miles long. What piece of information is needed to determine the car’s average speed for the entire race?

F Top speed of the car

G Time last 300 laps took

H Final position of the car

J Distance of 500 laps

25 Last year, the average price of a video game was $40.00. This year, it increased by 10%. What is the average price of a video game this year?

A $36.36

B $40.10

C $44.00

D $50.00

23 Which model best represents the expression 3}4

3 2}3?

A C

B D

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GO ON

27 Mike and his friends are playing a card game where only the suits (hearts,diamonds, spades, and clubs) matter. Mike has 6 cards total and must getrid of 3. He has 2 hearts, 1 diamond, 2 clubs and 1 spade. Which list showsall the possible unique combinations of cards he can discard?

A Heart Heart Diamond

Heart Heart Club

Heart Heart Spade

Heart Diamond Club

Heart Diamond Spade

Heart Club Club

Heart Club Spade

Diamond Club Club

Diamond Club Spade

Club Club Spade

C Heart Diamond Club

Heart Diamond Spade

Heart Club Spade

Diamond Club Spade

D Heart Heart Diamond

Heart Heart Club

Heart Heart Spade

Heart Diamond Club

Heart Diamond Spade

Diamond Club Spade

Diamond Club Spade B Heart Heart Diamond

Club Club Spade

26 Which expression is represented by the model below?

102 1345 2 3 4 5

F 4 2 2

G 4 2 6

H 22 1 6

I 22 1 4

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TAKS

GO ON

Practice Test B

28 A football team has 10 players who weigh a total of 1740 pounds. The eleventh player weighs 240 pounds. What is the median weight of the players on this team?

F 174 pounds

G 180 pounds

H 207 pounds


29 The seventh grade girls’ basketball team at Ross Middle School won their last game. The following table lists the points each player scored.

Player Points

Tina 9

Julie 6

Michelle 8

Sarah 5

Jenny 12

Alma 12

Candice 11

Which measure of the data is representedby 12 points?

A Mean

B Mode

C Median

D Range

30 Simplify the expression below.

20 2 4(32 2 4)

F 220

G 212

H 0

J 80

31 31.2% of all active military personnel are female. Which number is equivalent to 31.2%?

A 31.2

B 31.2}100

C 3120.0

D 312}100

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32 Which of the following relationships is best represented by the data in the graph?

2

123456789

10

4 6 8 10 12 14 16 18 20

F Conversion of quarters to dollars

G Conversion of days to weeks

H Conversion of ounces to cups


33 Which point in the graph below is correctly labeled?

O

A

B

D

C

x

y5

4

1

2

3

2

3

4

5

2345 1 2 3 4 5

A A(3, 22)

B B(4, 23)

C C(4, 23)

D D(23, 24)

34 Which model can help find Ï}

25 ?

F

15

10

G

H

25

25

25

J

GO ON

Practice Test B

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GO ON

36 Macey’s car gas tank holds 14 gallons. She currently has 6.79 gallons of gas. Which of the following equations can be used to determine x, the amount of gas her car needs to be full?

F x 5 14 2 6.79

G x 1 7.21 5 14

H x 2 14 5 7.21

J 6.79 2 x 5 14

37 Mary needs to organize her wrenches. The

sizes (in inches) that she has are 1}4,

1}2,

5}16

, 7}8,

3}4,

7}16

. Which list has the sizes ordered from

least to greatest?

A 1}4,

1}2,

5}16

, 7}8,

3}4,

7}16

B 1}4,

5}16

, 7

}16

, 1}2,

3}4,

7}8

C 1}4,

7}8,

1}2,

5}16

, 7

}16

, 3}4

D 1}2,

1}4,

3}4,

7}8,

5}16

, 7

}16

35 The table below shows the number of motor vehicles sold in the month of May.

May Vehicle Sales

Type of Vehicle

Am

ou

nt

So

ld (

tho

usan

ds)

0

100

PWCs

Boats

Moto

rcyc

lesVan

s

Truck

sSUVs

Cars

200

300

400

500

600

Which statement is best supported by these data?

A The number of motorcycles sold was one half the number of SUVs sold.

B The number of SUVs sold was double the number of trucks sold.

C More vans were sold than motorcycles.

D The number of cars sold was 7 times the number of boats.

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GO ON

38 The following graph presents the usage of 3 different ice sports at Creve Coeur Ice Arena.

SpeedSkating Figure

Skating

Ice Hockey

Ice Arena Usage

Which statement is not supported by these data?

F Figure skating uses the rink more than speed skating.

G Figure skating and ice hockey use the rink equally.

H Speed skating uses the ice arena approximately 33% of the time.

J Figure skating and ice hockey together use the rink approximately 3}4 of the time.

39 The top, side, and front views of a solid figure made up of cubes are shown below.

Top Side Front


A C

B D

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TAKS

GO ON

Practice Test B

40 Ms. Chiu, the librarian, received 28 new fiction books over the course of three months. The following data summarize the books’ arrivals.

New BooksMonth Received Books

March 20

April 5

May 3


F

March April May

5

0

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March

April

May

G

March April May

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205 3

May

41 At Harf Middle School, 2}5 of the 7th grade class speaks more than one

language. What percent of the 7th grade class speaks more thanone language?

A 20%

B 25%

C 40%

D 66 2}3%

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GO ON

42 Dr. Garcia measured four patients.

Patient Height Weight

Jorge 60 inches 240 pounds

Ron 61 inches 245 pounds

Carter 62 inches 246 pounds

Desi 64 inches 250 pounds

Which patient has the greatest ratio of weight to height?

F Jorge

G Ron

H Carter

J Desi

43 The figure below was transformed from quadrant I to quadrant III.

O x

y

2

4

6

8

10

4

6

8

10

46810 2 4 6 8 10


A Translation

B Reflection across a horizontal axis

C Rotation

D Reflection across a vertical axis

44 The model represents the equation x 2 2 = 3.

X

Key1 1


F x 5 26

G x 5 25

H x 5 1

J x 5 5

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STOP

45 Jim is buying 5 packs of trading cards for $2.09 per pack. If he wants to use the smallest single bill possible to pay for the cards, what should he use?

A $1 bill

B $5 bill

C $10 bill

D $20 bill

46 Lindsay’s scores on her math tests are shown in the table below.

Test Score

1 82

2 90

3 83

4 89

5 83

What is her mean test score?


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47 An airplane using 100% of its power can fly 400 miles per hour. Approximately how fast can it fly when using 85% of its power?

A 320 mi/h

B 340 mi/h

C 385 mi/h

D 470 mi/h

48 Mr. Mooney is planning on painting his house. He calculated that the surface areato be painted is 1400 square feet. What information is needed to find the amount of time Mr. Mooney will need to spend painting?

F The number of walls to be painted

G The area one gallon covers

H The time it takes to use one gallon

J The time it takes to paint one square foot

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TAKS Objetivos: Repaso y prácticaTAKS Grado 7: Examen Práctica: Examen B 151

TAKS

INSTRUCCIONES

Lee cada pregunta. Después rellena la respuesta correcta en tu hoja de respuestas. Si no hay ninguna respuesta correcta, marca la letra que corresponde a “Ninguna”.

EJEMPLO A

Halla el máximo común divisor de 20 y 35.

A 2

B 5

C 10

D Ninguna

EJEMPLO B

Halla en centímetros cuadrados el área de esta baldosa cuadrada.

10.2 cm


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Práctica:ExamenB

Práctica: E

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ML4356_G7_span_Test_B.indd 151 7/21/06 4:54:53 PM

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Práctica: Examen BTAKS Objetivos: Repaso y práctica


TAKS

CONTINÚA

1 George usa 14 onzas de salsa para pizza para hacer 2 pizzas. ¿Cuántas onzas necesita para hacer 8 pizzas?

A 24 onzas

B 56 onzas

C 64 onzas

D 112 onzas

2 ¿Cuáles de los siguientes puntos están dentro del triángulo dibujado a continuación?

1O

�2

1

2

3

4

5

�3

�4

�5

�2�3�4�5 2 3 4 5 x

y

F (2, 1)

G (21, 2)

H (22, 2)

J (2, 21 )

3 El Sr. Wilson necesita pintar las líneas de un nuevo campo de fútbol. Los lados más largos

tendrán 16 2 }

3 yardas de longitud y el

perímetro tendrá 56 2 }

3 yardas.

¿Qué ecuación puede usarse para hallar l, la longitud del lado más corto?

A l 5 56 2 }

3 2 16

2 }

3

B l 2 16 2 }

3 5 56

2 }

3

C 2l 1 2(16 2 }

3 ) 5 56

2 }

3

D l 5 2(56 2 }

3 2 16

2 }

3 )

4 Una piscina rectangular tiene una profundidad uniforme de 6 pies. Si tiene un volumen de 210 pies cúbicos, ¿qué expresión puede usarse para hallar su profundidad?

F 210 } 6

G 210 p 6

H 210 2 6

J 210 1 6

Práctica:ExamenB

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Práctica: Examen B 153TAKS Objetivos: Repaso y prácticaTAKS Grado 7: Examen

TAKS Práctica:ExamenB

CONTINÚA

6 Se divide una pizza circular en ocho porciones con la misma forma y tamaño haciendo cuatro cortes por el centro de la pizza.

¿Qué método puede usarse para hallar la circunferencia de la pizza, dadas las dimensiones de una de las porciones?

F Hallar el área de la porción y multiplicarla por 8.

G Hallar el perímetro de la porción y multiplicarlo por 8.

H Multiplicar la longitud del borde recto de una porción por 2.

J Multiplicar la longitud del borde curvado de una porción por 8.

7 Un arquitecto diseñó una casa con la siguiente planta, como se muestra en la parte sombreada de esta cuadrícula.

Cada cuadrado en la cuadrícula mide 10 pies2. ¿Cuál será el área de superficie aproximada de la casa?

A 100 pies cuadrados

B 220 pies cuadrados

C 230 pies cuadrados

D 240 pies cuadrados

5 ¿Qué ángulos no son complementarios?

VXR

T

US

40°

40°50°

50°

A aRXU y aUXV

B aSXT y aTXU

C aRXS y aSXV

D aRXT y aTXV

Práctica: E

xamen

B


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CONTINÚA

8 J.D. y Jorgelina van a vender su casa. A continuación tienes una lista de todas las casas vendidas el año pasado en su calle y sus precios.

CasasvendidasenFloraAvenueDirección Precio

7305 $145,000

7402 $169,900

7009 $181,000

7137 $124,500

7646 $155,000

7522 $110,000

8004 $97,500

7800 $162,000

¿Qué deberían hacer J.D. y Jorgelina con los datos para identificar qué casas de su calle se vendieron a un precio por encima de la media?

F Deberían sumar todos los precios y dividir por 8.

G Deberían enumerar los precios de menor a mayor.

H Deberían enumerar las direcciones de menor a mayor con sus precios correspondientes.

J Deberían ordenar los precios de menor a mayor con sus correspondientes direcciones.

9 Un silo cilíndrico usado como almacén de trigo tiene 24 pies de alto y un diámetro de 8 pies. Usa la aproximación π < 3.14 para estimar en el volumen de trigo que se puede almacenar en el silo a la centésima de pie3 más cercana.


9

8

7

6

5

4

3

2

1

0

9

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3

2

1

0

9

8

7

6

5

4

3

2

1

0

.

9

8

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6

5

4

3

2

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CONTINÚA

10 Un par de botas de baloncesto tiene un precio rebajado de $80.00. Está rebajado un 60% del precio original. ¿Qué ecuación puede usarse para hallar x, el precio original?

F 60 } x 5 80

} 100

G 80 } x 5 60

} 100

H x } 60

5 80

} 100

J x } 80

5 60

} 100

11 Billy corta césped durante el verano. Cobra según el área de superficie del césped. Este diagrama muestra en su parte sombreada el césped de los Chambers.

100 pies

15 pies

15 pies

50 pies

30 pies60 pies

¿Qué área tiene el césped?

A 1725 pies2

B 4275 pies2

C 6000 pies2

D 7725 pies2

12 ¿Qué regla genera la secuencia

10, 6, 2, 22, 26 ...

donde n representa la posición de un término en la secuencia?

F 4n 1 6

G 14 2 4n

H 16 2 6n

J 5n

13 La siguiente tabla muestra el peso promedio de cuatro animales diferentes en un zoo local.

Animal Peso

Gorila 400 libras

Vaca 1000 libras

Jirafa 2500 libras

Elefante 10,000 libras

Basándote en la información de la tabla, ¿cuál de las siguientes suposiciones es razonable?

A Las vacas pesan dos veces y media lo que pesan los gorilas.

B Los elefantes son los animales más pesados del mundo.

C Las jirafas pesan cuatro veces lo que pesan las vacas.

D Los gorilas son los animales más livianos del zoo.

Práctica: E

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B


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TAKS Práctica: Examen B

CONTINÚA

14 Un equipo de baloncesto ganó 4 }

5 de sus

20 partidos la temporada pasada. ¿Cuál fue el porcentaje de victorias del equipo?

F 18%

G 40%

H 80%

J 85%

15 Un kit completo de ciencias consta de 12 tubos de ensayo, 5 viales y 3 probetas. ¿Qué porcentaje de los objetos incluidos en el kit son tubos de ensayo?

A 5%

B 25%

C 33%

D 75%

16 Se está construyendo una piscina de 4 lados en un nuevo centro comunitario.

70�

¿Cuál de las siguientes palabras describe mejor el cuadrilátero según sus medidas?

F Rectángulo

G Cuadrado

H Rombo

J Paralelogramo

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CONTINÚA

18 La velocidad máxima de un guepardo es 71 millas por hora. ¿Cuál de las siguientes respuestas parece la más razonable para la distancia que un guepardo recorrería en 25 minutos, a esta velocidad?

F 25 millas

G 30 millas

H 40 millas

J 50 millas

17 El Sr. Wilson va a instalar una ventana circular en su puerta de entrada. A continuación tienes el diseño que quiere usar. Usa una regla para medir el radio de la ventana en centímetros.

Ventana

¿Cuál de las siguientes medidas está más próxima al área de superficie de la ventana?

A 19 cm2

B 27 cm2

C 28 cm2

D 113 cm2

Práctica: E

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B


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CONTINÚA

19 Los datos de la siguiente tabla muestran la relación entre el volumen aproximado de una lata de bebida en pulgadas cúbicas, x y su altura aproximada y en pulgadas cúbicas.

Volumenx(pulg.3) Alturay(pulg.)

10 2

15 3

25 5

30 6

¿Qué gráfica representa mejor los datos de la tabla?

A Latas de bebidas: Tamaños

Volumen

Alt

ura

1

5101520253035404550

2 3 4 5 6 7 8 9 10

B Latas de bebidas: Tamaños

Volumen

Alt

ura

5

123456789

10

10 15 20 25 30 35 40 45 50

C Latas de bebidas: Tamaños

Volumen

Alt

ura

5

5101520253035404550

10 15 20 25 30 35 40 45 50

D Latas de bebidas: Tamaños

Volumen

Alt

ura

1

5101520253035404550

2 3 4 5 6 7 8 9 10

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CONTINÚA

20 ¿Cuál es la diferencia común entre los términos de la secuencia?

Posición 1 2 3 4 5 n

Valordeltérmino 3 7 }

2 4

9 }

2 5

1 }

2 n 1

5 }

2

F 1 } 2

G 1

H 3 } 2

J 5 } 2

21 Un monumento conmemorativo de 12 pies de altura ha sido colocado en el centro de la ciudad. La base de la escultura es un triángulo equilátero cuyos lados miden aproximadamente 3 pies de largo, y su área de superficie mide 4 pies cuadrados. ¿Cuál es el volumen del obelisco en pies cúbicos?

A 12 pies cúbicos

B 36 pies cúbicos

C 48 pies cúbicos

D 144 pies cúbicos

22 Hay que poner baldosas en la entrada principal del parque Roller Skateboard a excepción del área con forma de trapecio debajo del mostrador de la recepción.

10 pies

20 pies

6 pies15 pies

5 pies

¿Cuántos pies cuadrados de baldosas se usarán?

F 40 pies2

G 260 pies2

H 300 pies2

J 340 pies2

Práctica: E

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CONTINÚA

24 Un coche de carreras acabó las primeras 200 vueltas de una carrera de 500 vueltas en 1 hora y 20 minutos. Una vuelta mide 1.3 millas.¿Qué información se necesita para determinar la velocidad promedio del carro durante toda la carrera?

F La velocidad máxima del carro

G El tiempo que toman las últimas 300 vueltas.

H La posición final del carro

J La distancia de 500 vueltas.

25 El año pasado el precio promedio de un juego de video fue de $40.00. Este año aumentó en un 10%. ¿Cuál es el precio promedio de un juego de video este año?

A $36.36

B $40.10

C $44.00

D $50.00

23 ¿Qué modelo representa mejor la expresión 3 }

4 3

2 }

3 ?

A C

B D

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CONTINÚA

27 Mike y sus amigos juegan a un juego de cartas donde sólo valen los palos (corazones, diamantes, tréboles y picas). Mike tiene 6 cartas en total y debe soltar 3. Tiene 2 corazones, 1 diamante, 2 tréboles y 1 pica. ¿Qué lista muestra todas las combinaciones posibles de cartas que puede soltar?

A Corazón Corazón Diamante

Corazón Corazón Trébol

Corazón Corazón Pica

Corazón Diamante Trébol

Corazón Diamante Pica

Corazón Trébol Trébol

Corazón Trébol Pica

Diamante Trébol Trébol

Diamante Trébol Pica

Trébol Trébol Pica

C Corazón Diamante Trébol


Corazón Trébol Pica


D Corazón Corazón Diamante

Corazón Corazón Trébol

Corazón Corazón Pica

Corazón Diamante Trébol



Diamante Trébol Pica B Corazón Corazón Diamante

Trébol Trébol Pica

26 ¿Qué expresión representa este modelo?

1 0 �2 �1 �3 �4 �5 2 3 4 5

F 4 2 2

G 4 2 6

H 22 1 6

I 22 1 4

Práctica: E

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TAKS

CONTINÚA

Práctica:ExamenB

28 Un equipo de fútbol tiene 10 jugadores que pesan en total 1740 libras. El undécimo jugador pesa 240 libras. ¿Cuál es el peso medio de los jugadores de este equipo?

F 174 libras

G 180 libras

H 207 libras

J No puede determinarse con la información proporcionada.

29 Las chicas del equipo de baloncesto de Grado 7 de la Escuela Intermedia Ross ganaron su último partido. La siguiente tabla enumera los puntos que marcó cada jugadora.

Jugadora Puntos

Martina 9

Julie 6

Michelle 8

Sarah 5

Jenny 12

Alma 12

Candice 11

¿Qué dato está representado por 12 puntos?

A Media

B Moda

C Mediana

D Rango

30 Simplifica esta expresión.

20 2 4(32 2 4)

F 220

G 212

H 0

J 80

31 El 31.2% de todo el personal militar en activo son mujeres. ¿Cuál de los siguientes números equivale a 31.2%?

A 31.2

B 31.2 } 100

C 3120.0

D 312 } 100

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32 ¿Cuál de las siguientes relaciones se representa mejor con los datos de la gráfica?

2

123456789

10

4 6 8 10 12 14 16 18 20

F Conversión de cuartos de dólar a dólares

G Conversión de días a semanas

H Conversión de onzas a tazas

J Conversión de tazas a pintas

33 ¿Qué punto de esta gráfica está rotulado correctamente?

1O

�2

1

2

3

4

5

�3

�4

�5

�2�3�4�5 2

A

B

D

C

3 4 5 x

y

A A(3, 22)

B B(4, 23)

C C(4, 23)

D D(23, 24)

34 ¿Qué modelo puede ser útil para hallar Ï}

25?

F

15

10

G

H

25

25

25

J

CONTINÚA

Práctica: E

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CONTINÚA

36 El tanque de gasolina del carro de Macey tiene capacidad para 14 galones. Si ella añade 6.79 galones, su tanque estará lleno. ¿Cuál de las siguientes ecuaciones puede usarse para determinar x, la cantidad de gasolina que necesita para llenar el tanque?

F x 5 14 2 6.79

G x 1 7.21 5 14

H x 2 14 5 7.21

J 6.79 2 x 5 14

37 Mary necesita organizar sus llaves inglesas. Tiene los siguientes tamaños (en pulgadas):

1 }

4 ,

1 }

2 ,

5 }

16 ,

7 }

8 ,

3 }

4 y

7 }

16 . ¿Qué lista tiene los

tamaños ordenados de menor a mayor?

A 1 }

4 ,

1 }

2 ,

5 }

16 ,

7 }

8 ,

3 }

4 ,

7 }

16

B 1 }

4 ,

5 }

16 ,

7 }

16 ,

1 }

2 ,

3 }

4 ,

7 }

8

C 1 }

4 ,

7 }

8 ,

1 }

2 ,

5 }

16 ,

7 }

16 ,

3 }

4

D 1 }

2 ,

1 }

4 ,

3 }

4 ,

7 }

8 ,

5 }

16 ,

7 }

16

35 La siguiente tabla muestra el número de vehículos con motor vendidos en Mayo.

Ventas de vehículos: Mayo

Tipo de vehículo

Can

tid

ad

ven

did

a (

miles)

0

100

Moto

s acu

ática

s

Botes

Moto

ciclet

as

Furg

onetas

Camio

nes

Todote

rrenos

Carro

s

200

300

400

500

600

¿Qué afirmación apoyan mejor los datos?

A El número de motocicletas vendidas fue la mitad que el número de todoterrenos vendidos.

B El número de todoterrenos vendidos fue el doble que el de camiones.

C Se vendieron más furgonetas que motocicletas.

D El número de carros vendidos fue 7 veces el número de botes.

Prá

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38 La siguiente gráfica representa el uso de 3 deportes de hielo diferentes en la pista de hielo Creve Coeur.

patinaje de velocidad patinaje

artístico

hockey sobre hielo

Pista de hielo: Usos

¿Qué afirmación no está apoyada por los datos?

F El patinaje artístico usa la pista más que el patinaje de velocidad.

G El patinaje artístico y el hockey sobre hielo usan la pista por igual.

H El patinaje de velocidad usa la pista aproximadamente un 33% del tiempo.

J El patinaje artístico y el hockey sobre hielo juntos usan la pista aproximadamente 3 }

4 del tiempo.

39 A continuación se muestran las vistas superior, lateral y frontal de un cuerpo geométrico compuesto por cubos.

superior lateral frontal

¿Qué cuerpo geométrico representa mejor estas vistas?

A C

B D

CONTINÚA

Práctica: E

xamen

B


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TAKS

CONTINÚA

Práctica:ExamenB

40 La bibliotecaria, la señora Chiu, recibió 28 nuevos libros de ficción durante un período de tres meses. Los siguientes datos resumen los libros recibidos.

LibrosnuevosMes Númerodelibros

Marzo 20

Abril 5

Mayo 3

¿Qué gráfica representa mejor estos datos?

F

Marzo Abril Mayo

5

0

10

15

20

25 H

Marzo

Abril

Mayo

G

Marzo Abril Mayo

5

0

10

15

20

25 J Abril Marzo

205 3

Mayo

41 En la Escuela Intermedia Harf, 2 }

5 de la clase de Grado 7 habla más de un idioma.

¿Qué porcentaje de la clase habla más de un idioma?

A 20%

B 25%

C 40%

D 66 2 }

3 %

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CONTINÚA

42 El Dr. Garcia pesó y midió a cuatro de sus pacientes.

Jorge 60 pulgadas 240 libras

Ronald 61 pulgadas 245 libras

Carter 62 pulgadas 246 libras

Desi 64 pulgadas 250 libras

¿Qué paciente tendrá la mayor razón peso a altura?

F Jorge

G Ronald

H Carter

J Desi

43 La siguiente figura se transformó del cuadrante I al cuadrante III.

2O

�4

2

4

6

8

10

�6

�8

�10

�4�6�8�10 4 6 8 10 x

y

Esta transformación representa mejor una

A Traslación

B Reflexión sobre el eje horizontal

C Rotación

D Reflexión sobre el eje vertical

44 El modelo representa la ecuación x 2 2 = 3.

X � � � � � �

Clave� � �1 � � �1

¿Cuál es el valor de x?

F x 5 26

G x 5 25

H x 5 1

J x 5 5 Práctica: E

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PARA

45 Jim está comprando 5 paquetes de láminas a $2.09 cada uno. Si quiere usar el billete más pequeño para pagarlos, ¿cuál debería usar?

A billete de $1

B billete de $5

C billete de $10

D billete de $20

46 ¿Cuál es la media de sus puntuaciones? Anota tu respuesta y rellena los círculos en tu hoja de respuestas. Asegúrate de usar el valor posicional correcto.

Examen Puntuación

1 82

2 90

3 83

4 89

5 83

¿Qué puntuación debería obtener en el examen 6 de forma que la mediana fuera 94?

9

8

7

6

5

4

3

2

1

0

9

8

7

6

5

4

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47 Un aeroplano usando el 10% de su potencia puede volar a 400 millas por hora. Aproximadamente, ¿cómo de rápido puede volar cuando usa el 85% de su potencia?

A 320 mi./h.

B 340 mi./h.

C 385 mi./h.

D 470 mi./h.

48 El Sr. Mooney tiene pensado pintar su casa. Ha calculado que el área de superficie que debe pintarse es de 1400 pies cuadrados. ¿Qué información se necesita para saber el tiempo que pasará el Sr. Mooney pintando?

F El número de paredes que debe pintar.

G El área que cubre un galón.

H El tiempo que se tarda en usar un galón.

J El tiempo que toma pintar un pie cuadrado.

Prá

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Documents

Contentsmrunderwood.com/Classwork and Homework/Course 2 TAKS Practice... · Contents Student Notes iv ... As you complete the review and practice pages for TAKS Objective 1, ... subtraction,