Name Date Class

End-of-Year

1. Which label or labels could replace "A" inthe diagram below? Select Yes or No.

A Rational Numbers O Yes O No

B Integers OYes O No

C Irrational Numbers OYes O No

2. Between which two integers does thevalue of ^/88 lie?

3. What is 8,980,000 in scientific notation?

4. The gray figure is the image of the blackfigure after a dilation.

Which represents the dilation?

A (x,y)-^^x,^.y]

1 1B <x'>')^[2x'2y.

C (x, y) ^ (2x, 2y)

D (x, y) -^ (4x, 4y)

5. The lengths in centimeters of four linesegments are shown below.

3.12,3.24, 3-'-, VlO4

Write the lengths in order from least togreatest.

6. A figure is dilated by a factor of 2. SelectTrue or False for each statement.

A The perimeter is doubled.

O True O False

B The perimeter is multiplied by 4.

O True O False

C The area is doubled.

O True O False

D The area is multiplied by 4.

O True O False

7. The points A{0, 0), 8(2, 2), C(3, 3) andD(5, 5) all lie on the line y = x. Ana

calculated the slopes of AB and CD.What can she conclude?

A The slopes are the same.

B The slope of AB'is

greater than the

slope of CD.

C The slope of CD is greater than the

slope of fiS.

D The slopes of AB and CO arenegative.

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206

Name

End-of-Year

Date Class

BU:

^S^Si

K

8. What is the slope of the line described bythe data in the table below?

9. A photo of a painting measures13 inches by 17 inches. The scale factor

1is •;•. What size is the painting? Select

Yes or No.

A 4.3 in. x 5.7 in. OYes -ONo

B 26 in. x 34 in. O Yes O No

C 39 in. x 51 in. OYes ONo

D 65in.x85in. OYes ONo

10. Which fraction is equivalent to -0.06?

A4B -

c -10

D-^

11. Marcus sells homemade pies for$10.50a pie. It costs $1 .25 for the ingredients tobake each pie. Marcus bought a newoven for $800. How many pies mustMarcus sell in order to begin makinga profit?

12. Which of the following graphs showsa linear relationship?

A

<^

\J^

B •^

^tV

13. What is the value of n in the equation:8n +9 = -n+5?

14. Which ofthe following equationsrepresents a proportional relationship?Select Yes or No.

A y=3x

B y=4x+1

c y=i»y.f

O Yes O No

OYes ONo

OYes ONo

O Yes O No

I15. Terry skated 2 miles in •;• hour. Which of

the following represents the unit rate thatTerry skated?

A -Imi/h

B | 2 -^. | mi/h

C f^.-2-l mi/h

D 2mi/h

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206

:":.'?;*Ts'^^'£S^S'^s^^°sgE^^.;i°^^<^^^Ss^S^?iS^1^^^'®i:^^@^^^^^^;^ S^'^S

x -1 1 3 5

y 3 8 13 18

Name Oate Class

End-of-Year

16. Kenneth graphed the triangle A'B'C' bydilating triangle ABC. Which of thefollowing must.be true?A The ratios of corresponding sides of

ABC and A'B'C' are equal.B Thearea ofA'B'C'is greaterthan the

area of ABC.C Triangle ABC \s congruent to triangle

A'B'C:

D Triangle ABC is a isosceles triangle.

17. A cell phone company charges $40forthe phone plus a monthly service chargeof $25. Theequation below describes thecost y after x months.

y=25x+40Which is true of the relationship betweenxand/?A It is linear and proportional.B It is linear and non-proportional.C It is not linear and proportional.D It is not linear and non-proportional.

18. A cheetah's speed was timed byer a50-yard distance. The che^tah wasclocked running 60 miles per hbiir. Whichequation shows the relationship betweenthe distance, y, and time, x, the cheetahruns?A y=50x B y=60x+50C y=50x+60 D y=60x

19. What is the volume of the rectangularprism?

3cm

9cm

5cm

20. Dallas got a raise.His hourlywage wasincreased from $9 to $10.25. What wasthe percent increase in Dallas's wage tothe nearest whole percent?A 10% C 14%

B 12% D. 125%

21. Ryan drew a cylinder and a cone withidentical bases and heights. Which of thefollowing is true?

A The volumes are the same.

B The volume of the cylinder is threetimes the volume of the cone.

C The volume of the cone is three timesthe volume of the cylinder.

D The volume of the cyllnder isfour-thirds the volume ofthe cone.

22. The Grabo fariiily'S mbnthly budget isshown in the circte graph. Th^ family hasa monthly incomaof $5,000. How muchmoney do they spend on housing eachmonth?

Emergencyfund5%:.,..',.y;:.

Transportatlon5%

Clothlng6% •

Entertainment7% Savings

10%

A $250

B $500

C $1,100D $1,500

;:;'S388

;:iy:MB

a::s•'MS

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207

"B-WSS^

Name Date Class

End-of-Year

B,;

»;

23. A sphere has a radius of 6 centimeters.What is the volume of the sphere?A Tln cm3 C 200^ cm3

B 144^- cm3 D 288n- cm3

24. The figure shows two parallel linesintersected by a transversal. What is themeasure of ZCGH?

25. Which of the following is the solution forthe inequality below?

-3x+ 2 < 8A x>-3 C x<-2

B x>-2 D x<-326. A bicycle rental company charges a

$12 fee plus $3 per hour. Which equationrepresents this linear relationshlp?Select Yes or No.

A y=12x-3B y=12x+3C y=3x-12D y=3x+12

OYesOYesOYesOYes

ONoONoONoONo

27. A tank holds 50 cubic feet of gas to heata home. The table shows the amount ofgas left in the tank after each of fiveconsecutive weeks. What is the rate ofchange?

28. The net below is of a triangular prism.What is the surface area of the prism?

6m

10m

8nn

16m

29. Alexander rides his bicycle at a speed of8 mites per hour. Which graph representsthis relationship?

B

2 4 6 810Ttme (h)

D eo

s"S 48

1"S 16

4 < 8 10r*me (h>

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208

litl-

1 2 3 4 5

44 38 32 26 20

fEff's'^

Name

End-of-Year

Date

30. The measures of three angles of atriangle are (Sx)°, (3x)° and (x + 60)'What is the value of x?

31. Which number line represents thesolution to the inequality 4x + 20 < 40?

33.

D -4-20 10 20

32. Under which transformation is orientationnot preserved?A translation C reflection

B dilation D rotation

Daria applied a transformation to triangteABC to obtain triangle A'B'C'. The twotriangles are not congruent. Which of thefollowing could be the transformationDaria applied?

A translation C reflection

B dilation D rotation

34. The Gteason family has a monthlybudget of $4,500. Mr. Gleason has afull-time job and takes home $900 eachweek. Mrs. Gleason works part time andbrings home $9 for every hour she works.How many hours per month must Mrs.Gleason work to make sure that she andMr. Gleason have met thelr monthlybudget?

35. Whichexpression represents81?

A 33 C 35

B 34 0 3e

36. The vertices of a triangle are located atthe points A(1,1 ), 8(2, -3) and C(5, 0).The triangle is translated 4 units down,then reflected across the x-axis to obtaintriangle A'B'C'. What are thg coordinatesof the vertices of triangle A'B'C?

37. Isobel obtained an image of triangle WXYunder a dilation with a scale factor of 3.Select True or False for each statement.

A The perimeter is multiplied by 9.

O True O False

B The perimeter is multiplied by 3.

O True O False

C The area is multiplied by 9.

O True O False

D The area is multiplied by 3.

O True O False

38. Jana has a bag of marbles. Withoutlooking, she removes one marble fromthe bag, records the color, and replacesit. She repeats this process 50 times andrecords the results in the table.

What is the probability that Jana will picka red marble on her fifty-first time?

50 25

^l D 8-50 ~ 25

A

B

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209

Color Frequency

Red 11

Blue 14

Green 9

Yellow 16

Name Date Class

End-of-Year r

39. The circte graph shows the results of anemployment survey of 800 people. Howmany of the people sun/eyed wereemployed full time?

Employment Suryey

Retired10%

Unemployed5%

40. Which of the following is a randomsample?

A Members of a polling organizationsurvey city voters about who theyexpect to be elected mayor.

B A survey company asks 100members at a concert who theirfavorite singer is.

C Customers at a pizza shop aresurveyed about their favorite food.

D Carlos uses an e-mail survey to findout how many students havecomputers at home.

41. A 10-inch piece of ribbon is 25.4centimeters long. How long will a36-inch piece of ribbon be to thenearest hundredth of a centimeter?

A 14.17cm C 141.73cm

42.

B 91.44cm D 914.40cm

One circle has a diameter of 10 inches. Asecond circle has a diameter that is twicethe diameter of the.first circle. What is theratio of the area of the smaller circle tothe larger circle?

A 1:2 B 1:3.14 C 1:4 D 1:8

Use the box plot for 43-44.

O 10 20

TestA •-

30 40 50

TestB •-

43. What is the difference between themedians for Test A and Test B?

44. Which statement is true based on thebox plots?A Test A had the greater range of

scores.

B More students did better on Test Athan on Test B.

C The interquartile range for Test B is

greater than for Test A.

D One half of the students on each testgot 25 or fewer questions correct.

Use the figure for 45-46.8

A C

45. What is the measure of ZBAC7

46. Which of the following is not true?

A 2x+3x=150 C 3x-2x=30

B 2x+3x+30=180 D 2x+3x>180

47. Which equation represents the datashown in the table below?

A y=2x+1B y= 3x - 1

C y= 2.5x

D y= 2.5x+1

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210

^@3S"^

Cost(y) 5 10 15 20

Gallon (x) 2 4 6 8

K

Name Date Class

End-of-Year

^•"••\

K

K'-

B

1

48. A sphere has a radius of 2 inches. Whatis the volume ofthe sphere to the nearesttenth?

49. The mass of Earth in kilograms is5.97 x 10 , and the mass of the Moon is7.35 x 1022. What is the sum of themasses of Earth and its moon?

50. If the triangle shown is rotated 180° aboutthe origin, what are the coordinates ofPoint F?

4 fl^rE3

1-t-̂±^:f:ffl:FyiTT:

n^^o^:p!-'i-H-!-)-r+^12 34

P4

51. What value of x is the solution to theequation?-5(x-5)=2(-4x+5)

52. In a circle of any size, what ratio does

pi (v) represent?

A the ratio of the radius to the diameter

B the ratio of the circumference to thediameter

C the ratio of the circumference to theradius

D the ratio of the circumference to thearea

53. Which graphbelow shows alinearequation with a slope of2 and a

y-intercept of -2?

A ,-,-,--,-,-4y,-

-1-T-t-h-l4-1-4-4-i

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211

S^t^SSSMESrf;.;;

Ciass

M&Bi;[-

•!i^s^l'l:

•ISsiSits

^sss^

K,

9KV^' r

End-of-Year

54. Louren(;o analyzed prices of laptopcomputers based on the speed of the

processor. He calculated the trend line tobey= 101x+207.85, wherexisthespeedof the processor in gigahertz and

y is the price. Which amount below isclosest to the price of a laptop with a

processor speed of 2.5 gigahertz?A $309 C $460

B $455 D $620

55. At 6 A.M. the temperature was -8°C.

At noon the temperature was 3°C.What was the change of temperaturebetween 6 A.M. and noon?

56. Whatisthequotientof-18+|-^|?

-357. Erica wrote the nunnber 3.24 x 10"' in

standard form. What number did shewrite?

58. The vertices of a triangle are located atthe pointsA(-1, 0), B(-2, 2) and C(3, 3).A'B'C' is the result of rotating ABCcounterclockwise 90° about the origin.Which formula can be used to flnd thecoordinates of the vertices of A'B'C'?

A

B

cD

(x,y)

(x,y)

(x,y)

(x,y)

(-x, y)

(-x, -y)

(y, -x)

(-y, x)

59. Jerlyn applied a sequence oftransformations to obtain triangle XY2'from triangte XYZ as shown below.

x'_ z'

m

Which of the following describes thesequence of transformations?

A a translation followed by a reflectionacross llne m

B a translation followed by a 180°counterclockwise rotation

C a dilation with scale factor 2

D a reflection across line m followed bya 180° counterclockwise rotation

60. What is true about the relationshipbetween miles and gallons?

A There is no relationship betweenmiles and gallons.

B There is a proportional relationshipbetween mites and gallons.

C There is a 1 to 23 relationshipbetween miles and gallons.

D There is a 20 to 1 relationshipbetween miles and gallons.

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212

fiK?*^!^^^SS1^S?^^^-^

Galions 2 5 6 9

Miles 46 115 138 207

Name Date

End-of-Year

Class

Solve.61. Amman drew a rectangle with a perimeter

of 36 units. He then performed a dilationwith a scale factor of 3. What is theperimeter in units ofthe resulting image?Show your work.

62. Each hour, the temperature dropped by13-^ degrees. What was the change in

ftemperature in 2-^ hours?

63. Elizabeth wrote the number 8.45 x 10~z instandard form. Which number did shewrite?

64. One triangle has side lengths of 5 inches,12 inches, and 13 inches. The sidelengths of a second triangle are 15 inches,36 inches, and 39 inches. What is theconstant of proportionality between thetwo triangles?

65. The point (-2, -3) is rotated 180°counterdockwise about the origin. Whatis the y-coordinate of the resultingimage?

66. What is the slope of the line described bythe data in the table below? Show howyou find the slope.

67. The volume of a cone is 242.1 cubiccentimeters. A cylinder hasthe same baseand height as the cone. What is the volumein

'cubiccentimeters ofthe cylinder?

Explaln how you found the volume.

68. At a fruit stand, Rajendra can purchasethree apples and one orange for thesame price as five apples. The price ofthe orange is $0.84. What is the price indollars of each apple? Write and solvethe equation.

69. A rectangular prism is 10 inches long,6 inches wide, and 4 inches high. What isthe surface area of this prism in squareinches?

70. Samantha deposited $650 into a savingsaccount that pays 3.5% interestcompounded annually. After 6 years whatwill be the value of her investment indollars?

71. How many units long is XZ ?B y

/l—j-5—CX

72. What is the value of the expressionbelow?

_3(4)(-2)(2)-(4)

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213

x -2 o 4 12 16

y 5 6 8 12 14

^&s^^'SSs^ySw.

.^^y^^KSlll^s3^^

•i

K:

m.

Date Ctass

End-of-Yearv

Solve.

73. What is a y-intercept? What is they-intercept of the line graphed below?

74. What is the probability of flipping twocoins and both landing heads? Give youranswer as a decimal.

75. At a supermarket, the price of a carton ofblueberries varies directly with its weight.Acarton thatweights 0.5 poundcosts$4.25. What is the pnce in dollars of acarton of blueberries that weighs0.75 pound? Show yourwork.

76. In the diagram below, lines f and m areparallel. Both are intersected bytransversal?.

What is the value of x? Explain yourreasoning.

; t

m<-

77. What is the value of x in the equationbelow?

-lx+5=-lx+824

78. A company knows that 30% of theircustomers who come to the store willexamine the merchandise and then orderit online. The company wants to know theprobability that out of the next 4 customers,exactly one will buy online. How could thecompany find this probability?

79. Three students simplified the expression:

2x-3(y-2x)+(-5)(-2y).

Their answers are below.

Amber: -4x+7y

Butch: 4x+7y

Carl: 8x+7y

Tell who is correct. Explain the error theother students made.

80. Grant filled a cylindrical tank with water.The tank has a base radius of 1.2 metersand a height of 3 meters. To the nearesttenth, how many cubic meters ofwaterare in the tank?

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214

8

6

4 T

2

-U-+. -I— x•*