SOL Review

Table of Contents

WEEK 1: SOL 7.1 Fractions, Decimals, Percents, Scientific Notation

WEEK 2: SOL 7.3 Integers

WEEK 3: SOL 7.16 Properties

WEEK 4: SOL 7.13 Expressions

WEEK 5: SOL 7.2 Sequences

WEEK 6: SOL 7.14 Two-Step Equations

WEEK 7: SOL 7.15: Inequalities

WEEK 8: SOL 7.12 Functions

WEEK 9: SOL 7.8 Transformations

WEEK 10: SOL 7.7 Geometry (Quadrilaterals) & 7.5(Surface Area & Volume)

WEEK 11: SOL 7.4 & 7.6 Proportions / Consumer Math

WEEK 12: SOL 7.9 & 7.10 Probability

WEEK 13: SOL 7.11 Statistics

SOL Review

WEEK 1: SOL 7.1 Fractions, Decimals, Percents, Scientific Notation

1) What percent is equivalent to 35 2) What decimal is equivalent to

2125 ?

3) What fraction is equivalent to 24%? 4) What decimal is equivalent to 6.8%

5) Which number is greater? 710

∨80% 6) Which number is less? 45% or 45

7) List the numbers in order from least to greatest.

0.08 , 1320 , 70%

8) List the numbers in order from greatest to least.

50% , 56,0.56 , 17

25

9) What number is equivalent to 2.5 x10−3 ? 10). Insert ¿ ,<,∨¿ to make the statement true.

2.51 x10¿6 x104

SOL Review

WEEK 2: SOL 7.3 Integers

1) 2 • 8−4÷4 = 2) Draw a model for this equation:

2 + (- 5) = _____

3) |10 - 47| = 4) -64 ¿ (-8)

5) Draw a model for this equation:- 5 + 4 =

6) |-1 - 9| - |-46 + 50| =

7) 4 – 18 8) -13(3)

9) The highest temperature ever recorded on Earth was 136°F in Libya. The lowest temperature was - 129°F in Antarctica. What is the range of the highest and lowest temperatures on Earth?

10) A diver dives down 75 feet below sea level, and then rises up 20 feet. How deep is the diver below sea level?

11) If the temperature is -8F and by lunch the temperature had risen 23F. What was the temperature at lunch time?

12) A tour group began the day at 400 feet below sea level. At the end of the day they had gained 2000 feet in elevation. How far above sea level was the tour group?

WEEK 3: SOL 7.16 Properties

SOL Review

1) What real number property of multiplication is shown in this equation?

3 • 11 • 10 = 3 • 10 • 11

2) Which sentence illustrates the additive identity property

a) -15 + 15 = 0b) -15 + 0 = -15c) -15 + 1 = -14

3) Name the below property.

(5 ∙17 ) ∙ 15 = 17 ∙(5 ∙

15)

4) Which sentence illustrates the distributive property?

a) (3 + 19) + 12 = 3 + (19 + 2)b) (9 + 21)5 = 9 • 5 + 21 • 5c) (8 • 7) • 3 = 3 • (8 • 7)

5) Which sentence illustrates the multiplicative inverse property?

a) 3 • 13=1

b) 3 • 1 = 3c) 3 • (-3) = -9

6) Which sentence illustrates the multiplicative property of zero?

a) 4 • -4 = -16

b) -4 • 14 = -1

c) 4 • 0= 0

7) Show how the associative property of addition could be used to simplify the problem.

(12 + 16) + 24

8) Which sentence illustrates additive inverse property?

a) 3 + (-3) = 0b) 12 +1 = 12

c) 12+2=1

9) Use distributive property to simplify the expression.

3(3−6)

10) Create a sentence illustrating multiplicative inverse property?

WEEK 4: SOL 7.13 Expressions / Order of Operations

SOL Review

1) Write an algebraic expression to represent the word expression.

The quotient of sixteen and twice a number.

2) Write an algebraic expression to represent the word expression.

Four times the sum of a number

3) Write an algebraic expression to represent the word expression.

Six times the sum of twelve and a number is seventy-three.

4) Write an algebraic expression to represent the word expression.

The quotient of a number and five is negative three.

5) Write an algebraic expression to represent the word expression.

The product of seven and a number is equal to three times the number and six.

6) Solve.

3+22(1+8)

7) Simplify

100 – 4( 7- 4 ¿¿2

8) Simplify

4x + 3 – 2x -10

9) Simplify

3 ( x−5 )−12+2x

10) Simplify

−3+5 x−(−7 x)+11+2

11) Simplify

7d+3cd+5c – 8 –2c2

for c = 2, d= -1

12) Simplify

(-7 – 3x) 5

WEEK 5: SOL 7.2 Sequences

SOL Review

1) Write the 7th number in the sequence.

85, 79, 73, 67, …

Write the rule that produces the sequence

2) Write the 12th number in the sequence.

1, 6, 11, 15, …

Write a rule that produces the pattern

3) How many dots would be in Set 7?

Set 1 Set 2 Set 3 Set 4

4) Find the next term and determine if the sequence is arithmetic, geometric, or neither.

4.5, 4, 3.5, 3, 2.5, ___________

5) Find the next term and determine if the sequence is arithmetic, geometric, or neither.

0.1, 0.3, 0.9, 2.7, __________

6) Find the 5th term in the sequence19, 31, 43, ...

7) Find the 8th term in the sequence56, 53, 49, 44, ...

8) Create your own arithmetic or geometric sequence below. Then describe the pattern and the rule.

WEEK 6: SOL 7.14 Two-Step Equations

= =

SOL Review

1) -6x -12 = -602) x5 – 12 = -7

3) -12 + 3x = 3 4) 14 – 6y = 44

5) 32x−2=12 6) 4x + 6 +8x = 42

7) 3(x-5) = 15 8) –x + 7 = -21

9) 2x – 4 = 10 10) −3 x - 1 = -10

WEEK 7: SOL 7.15: Inequalities

SOL Review

1) Solve & graph the Inequalityx−(−7 )≤3

2) Solve & graph the Inequality-2x ≥ 16

3) Solve & graph the Inequalityx7<−3

4) Solve & graph the Inequality−3 x≤−27

5) Solve & graph the Inequality−13>x−3

6) Solve & graph the Inequality12< x

−4

WEEK 8: SOL 7.12 Functions

SOL Review

X Y1234

1) Fill in the table of values for the given equation.y=3 x−1

2) Find the next value in the table.X 1 2 3 4 11Y 8 9 10 11 ??

Write the rule that produces the pattern3) Is this a function?{(-2, 3) (4, 5, 6) (-2, 9) (12, 12)}

4) How many dots would be in Set 7?Set 1 Set 2 Set 3 Set 4

5) List the domain and range. Domain: __________________

Range: ____________________

6) Write the next value of y in the table. 7) Write the 7th number in the sequence.85, 79, 73, 67, …

Write the rule that produces the sequence

X Y

3 6

2 7

1 8

-3 5

X 1 2 3 4 16Y 4 8 12 16 ??

SOL Review

8) The YMCA charges for a membership of $25 per month, plus $3 for every guest you bring. Write a function using two variables for the situation.

10) Write the rule for the given table of values.

Rule: ________________________

9) Create a function table and rule for the graph below.

11) Gordon earns money during the summer cutting grass. He charges each customer a one-time fee of two dollars for gasoline. He also charges three dollars for every square meter of grass he cuts. Create an equation, function table, & graph for the situation above. Let x represent the number of square meters Gordon cuts and

y represent his total earnings.

X Y

-3 7

-2 4

-1 1

0 -2

X Y

SOL Review

Equation: _______________________________X Y

SOL Review

WEEK 9: SOL 7.8 Transformations

1) Triangle XYZ has vertices X(-4, 5), Y(-1, 3), and Z(-2, 0). Find the vertices of XYZ after each translation. Then graph the figure and its translated image.

a) 5 units down b) 4 units right, 3 units down

2) Graph the image of the figure after a rotation of 90° clockwise.

3) Graph the image of the figure after a rotation of 180° clockwise. T′(4, 2), Z′(4,

4) Graph the image reflecting across the y-axis.

5) Graph the image reflecting across the x-axis.

SOL Review

6) Graph the triangle with vertices A(0,1), B(1,1), C(1,-2); then dilate by 3.

7) Graph the rectangle with vertices D(-2,2), E(1,2), F(1,-3) and G(-2,-3); then dilate by 2.

16 in

23 in

4 in3.5 cm

17 cm

SOL Review

WEEK 10: SOL 7.7 (Quadrilaterals) & 7.5 Geometry (Surface Area, Volume)

1) Find the volume & Surface Area.

V: ____________

SA: ____________

2) Find the volume & Surface Area.

V: ____________

SA: ____________

3) A cylindrical glass is 12 inches tall. The radius of the base is 4.5 inches. If the glass is full, how many cubic inches of liquid does it hold? Round to the nearest tenth.

4) A fruity Pebbles cereal box is inches

wide, 4 inches long and inches tall How much cereal can the box hold?

SOL Review

5) A vinyl covers the inside walls and bottom of the swimming pool shown below. The radius is 14 ft and the height is 10ft. Find the surface area of the sides and bottom the liner.

6) Name the best word that describes this shape.

7) List all the words that describe this shape. 8) Name the best word that describes this shape.

9) True or False

All trapezoids are parallelograms and quadrilaterals.

10) True or False

All rectangles are squares.

11) Find the missing angle measure. 12) Find the missing angle measure.

95°

80°

X°

60°

80°

100° 130°

X°

SOL Review

WEEK 11: SOL 7.4 & 7.6 Proportions

1) What number is 80% of 50? 2) What number is 85% of 52?

3) What percent of 430 is 86? 4) The figures below have a ratio of 3:2. Find the missing sides.

5) John was buying new school clothes at the mall. He had a 20% discount coupon for jeans. The pair of jeans he wanted cost $35.00.

a) How much was the discount?

b) How much did John pay for the jeans?

6) Mrs. Sauer’s class went to lunch at Ruby Tuesdays. The total bill came to $56.98. Tax is 4.5% and they wanted to leave a 20% tip.

a) How much tax would be added to the bill ?

b) How much tip would be left?

c) What is the total Mrs. Sauer’s class would pay?

F

G

H

J

X18 ft

A

B C

D14 ft

12 ft

SOL Review

7) Manuel can paint 5 pictures in 12.5 hours. At this rate, which proportion can be used to find p, the number of pictures Manuel can paint in 8 hours?

8) Of the 1225 animals at the zoo, 20% of them are amphibians, 40% are reptiles, 15% are fish and 25% mammals. List how many animals are of each category.

9) Solve.

2.54.5

=7.5r

10) Solve.

915

= b10

11) Find the value of x ?

SOL Review

12) Circle the similar figures. 13) ) A photograph is 4 inches wide by 6 inches long. If the photograph is enlarged so that the length is 8 inches, how wide is the enlarged photo?

12) Are the triangles equivalent?

∆ EFGH ≅ SVUT

13) Find the value of x.

∆ EFGH ≅ SVUT

6 in

12in

28 in

14 in

A

BC

Q

R

S

E

F

G

H

G S

G TU

V

8 in

9 in

6 inx

SOL Review

WEEK 12: SOL 7.9 & 7.10 Probability

1) Jon puts all his marbles in a bag. He has 6 white, 4 green, and 3 blue. Without replacing the first one, he takes a second marble out of the bag. Find P(white, then green).

2) Jeff has 4 pairs of blue jeans, 2 pairs of khakis, and 3 pairs of black pants in a drawer. He chooses one pair, puts them back and chooses another. Find P(blue jeans, then black).

3) P (not a D): ___________

4) P (consonant): ____________

5) P (not a vowel): ____________

6) Construct a tree diagram to illustrate all the possible outcomes of combining a red, black or blue blouse with navy, khaki, white, or black pants.

7) A penny, a nickel and a dime are tossed. How many possible outcomes are possible?

8) A family restaurant offers a choice of seven appetizers, four salads, five entrees and four desserts. How many different dinner combinations are possible?

SOL Review

9) Toss a number cube (1-6) and spine a five section spinner labeled A, B, C, D, and E. What is the theoretical probability of tossing a 4 and spinning a B? How does this compare to the experimental result?

10) Three cards are chosen at random from a standard deck of cards without replacement. What is the probability of getting 3 queens?

11) A number cube is rolled, and a penny is tossed. Find the each probability.

A) P (2 and heads) = D) P (even and heads) =

B) P(1 or 2 and tails) = F) P (odds and tails) =

C) P (divisible by 3 and tails) = G) P (less than 7 and tails) =

WEEK 13: SOL 7.11 Statistics

1) Write an interpretation of the information displayed in the graph.

2) The table shows the number of crates of oranges sold by baseball team members. Which measure of central tendency best describes the data? Support your answer.

3) The histogram displays data on the number of rentals at the local video store by ages of the patron. Write an interpretation of the information in the graph.

4) The stem-and-leaf plot shows scores on a hundred-point quiz. As the instructor for the class, how would you use the information to plan your class for the next session?

5) The box-and-whisker plot shows the number of hours a group of students spent doing homework during a one-week period. How would you describe their preparation?

6) The frequency table shows the number of snacks sold from a vending machine at school. How would you use the information if you had the franchise for the machine and must order 300 snacks for the next

SOL Review

restocking?

7) The line plot shows the average cost (in dollars) of lunches at various restaurants. Write an interpretation of the information in the graph.

8) What relationship does the scattergram show between the number of calories and the grams of fat in one serving of some candy bars? Explain your answer.

9) The scatter plot compares the amount of gas remaining since the last fill up and the distance traveled. Explain any relationship between the gas remaining and distance traveled.

10) Before placing an order for sandwiches for a class trip, a survey was taken to get information on students’ preferred snacks. Students were given a choice of chips, pretzels, granola bars, or trail mix.

Determine how many of each are ordered if there are 225 students going on the trip.

SOL Review

11) Find the media of the data set.

25, 12, 32, 20, 23, 17, 34, 19, 26, 23, 29, 37

12) Find the range of the data set.

41, 32, 46, 18, 28, 42, 35

13) A student’s test grade for the quarter were 80, 91, 90, 83, 80, and 88. What is the difference between the mean and median?

14) Jeff’s grades on his math tests are 87, 85, 88, 95, 89 and 92. He hopes to get an average grade of 89. What is the minimum he must earn on the next test?

15) The median height of the twenty-five students in Mrs. Baker’s class is 62 inches. Two new students enter the class. Their heights are 60 inches and 61 inches. What effect will those measurements have on the class median?

16) Rosella kept a record of her monthly savings for the year.

Jan $12 Jul $9 Feb $15 Aug $5 Mar $17 Sept $17 Apr $15 Oct $15 May $10 Nov $12 Jun $9 Dec $10

Construct a line plot.17) Members of the walking club recorded their number of miles walked in a week’s time for four weeks as shown in the chart below.

Create a frequency table to display the data.

9 11 16 7 12 12 21 5 9 11 15 9 10 13 22 21 17 9 18 9

18) Create a histogram from the data in #17

SOL Review

19) Create a stem-and-leaf from the data in #17

20) Create a box-and-whiskers plot from the data in #17