Name: ______________________ Class: _________________ Date: _________ ID: A

1

Summer Math Practice: Grade 8 Review

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

____ 1. What is true about the lines y = 7x – 10 and y = 7x + 10?

A. They intersect at one point. C. They are really the same line .

B. They intersect at no points. D. They are perpendicular lines.

____ 2. Which equation has a slope of –2 and passes through the point (5, 0)?

A. y = 2x + 5 B. y = 2x + 10 C. y = –2x + 5 D. y = –2x + 10

____ 3. What is the slope of the line that passes through the points (0, 3) and (8, 4)?

A. 3 B. 45

C. 18

D. 8

____ 4. What is the equation of the line that passes through the points (1, –1) and (3, –7)?

A. y = 3x + 2 B. y = –2x + 1 C. y = –3x + 1 D. y = –3x + 2

____ 5. Which of the following is not enough information to find the equation of a line?

A. The slope and the y-intercept C. The equation of a parallel line

B. The slope and one point on the line D. Two points on the line

Use the inverse relation y = 600x

.

____ 6. What is the value of x when y is 150?

A. –4 B. 14

C. 4 D. 40

Name: ______________________ ID: A

2

____ 7. What is the value of y when x is 0.5?

A. 300 B. 600 C. 900 D. 1200

____ 8. What is the value of x when y is –20?

A. –300 B. –30 C. 300 D. 30

____ 9. Which of the following equations would not represent the same situation as that represented by

y = 150x

?

A. x = 150y

B. xy = 150 C. yx = 150 D. y = 150x

____ 10. Which of the following equations would best model the data table below?

x 2 3 4 5 6 7 8 9 10y 5 7 9 11 13 15 17 19 21

A. y = 2x + 1 B. y = 2x C. y = 2x + 5 D. y = 2x

Solve the equation.

____ 11. 6x + 29 = 5A. –4 B. –18 C. 204 D. –144

____ 12. y − 5

3= 1

A. –2 B. 8 C. 18 D. 6

____ 13. −9p − 17 = 10A. –3 B. 16 C. 18 D. –16

____ 14. w

4− 4 = 3

A. –4 B. 28 C. 3 D. 11

Name: ______________________ ID: A

3

____ 15. d

3+ 10 = 7

A. 51 B. 20 C. 0 D. –9

____ 16. −4n + 7 + 2n = 1A. 1 B. 3 C. –3 D. 4

____ 17. a − 22 = 11A. 11 B. 33 C. –33 D. –11

____ 18. −22 = p − 25A. 3 B. 47 C. –47 D. –3

____ 19. w + 28 = 23A. –51 B. 5 C. –5 D. 51

____ 20. y

−20= −3

A. 320

B. 17 C. –23 D. 60

____ 21. p

−3.4= −1.3

A. 44.2 B. –4.7 C. 2.1 D. 4.42

____ 22. 12k = 108A. 1,296 B. 96 C. 9 D. 120

____ 23. 5h − 9 = −16 + 6hA. 4 B. –7 C. 7 D. 10

____ 24. 2(x + 4) = 30A. 7 B. 11 C. 15 D. 19

____ 25. 78 = −2(m + 3) + mA. –28 B. –42 C. –72 D. –84

____ 26. 5h − 9 = −16 + 6hA. 4 B. –7 C. 7 D. 10

____ 27. −2(m − 30) = −6mA. –15 B. –13 C. –8 D. 8

Write and solve an equation.

____ 28. The sum of two consecutive even integers is 194. What are they? Use the variable n for the value of the smaller integer.A. n + (n + 1) = 194; 96, 97 C. n + (n + 2) = 194; 96, 98B. 2n + 1 = 194; 96, 98 D. 2n = 194; 96, 98

Name: ______________________ ID: A

4

____ 29. You withdraw $100 from the ATM. The new balance is $372. What was the original balance b of your account?A. b + 100 = 372; $272 C. b + 372 = 100; $272B. b − 100 = 372; $472 D. b − 372 = −100; $472

____ 30. Alexa scored 87 on her history test. The test had a multiple choice section and a short answer section. Alexa got 74 points on the multiple choice section. How many points p did she receive on the short answer section?A. p − 87 = 74; 161 points C. p + 87 = 74; 13 pointsB. 74 + p = 87; 13 points D. p − 74 = 87; 161 points

____ 31. This year, 14,265 people applied to a particular college. The number of applicants increased by 868 from last year. How many people p applied last year? A. 868 + p = 14,265; 13,397 people C. p – 868 = 14,265; 15,133 peopleB. p – 14,265 = 868; 15,133 people D. p + 14,265 = 868; 13,397 people

____ 32. Mark wants to buy a skateboard that costs $65. He plans to save $5 per week. How many weeks w will it take him to save $65?A. 5w = 65; 13 weeks C. w − 65 = 5; 70 weeks

B.w

5= 65; 13 weeks D. 5 + w = 65; 60 weeks

____ 33. The sum of three consecutive integers is 21. What are they? Use the variable n for the value of the smallest integer.A. n + 1 + n + 2 + n + 3 = 21; 5, 6, 7 C. n + n + 2 + n + 4 = 21; 5, 7, 9B. n + n + 1 + n + 2 = 21; 6, 7, 8 D. n + n + 1 + n + 2 = 21; 8, 9, 10

Solve the equation.

____ 34. 37 – 18 + 8w = 67A. –6 B. 4 C. 7 D. 6

____ 35. 5x – 5 = 3x – 9A. –2 B. 1 C. –1 D. –3

____ 36. 8d – 4d – 6d – 8 = 2dA. 0 B. −1 C. −2 D. –4

____ 37. 5x – 5 = 3x – 9A. –2 B. 1 C. –1 D. –3

____ 38. 8d – 4d – 6d – 8 = 2dA. 0 B. −1 C. −2 D. –4

Name: ______________________ ID: A

5

____ 39. John and 2 friends are going out for pizza. They split one pizza and 3 large drinks. The pizza costs $14.00. After using a $7.00 gift certificate, they spend a total of $12.10. Write an equation to model this situation and find the cost of one large drink.A. 3d + $14.00 – $7.00 = $12.10; $1.70B. 2d + $14.00 – $7.00 = $12.10; $2.55C. 3d – $14.00 + $7.00 = $12.10; $9.55D. 3d + $14.00 – $7.00 = $12.10; $1.90

____ 40. The perimeter of the rectangle is 24 cm. Find the value of x.

A. 3 B. 12 C. 83

D. 18

____ 41. Find the value of a and the value of the marked angles.

A. 19; 102° B. 18; 97° C. 21; 112° D. 17; 92°

____ 42. List the terms that correctly complete the table.Time (sec) 0 1 2 3 4 5 6 7 8 9Distance (ft)

30 40 50 70 80 90 100

A. 15, 60, 110 B. 20, 60, 110 C. 20, 65, 113 D. 20, 60, 113

Name: ______________________ ID: A

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Write an expression to describe a rule for the sequence. Then, find the 100th term in the sequence.

____ 43. 3, 8, 13, 18, 23, 28, ...A. n + 5; 305 C. 5n – 2; 305B. n + 6; 206 D. 5n – 2; 503

____ 44. The cost of a school banquet is $90 for the room rental and $14 per person attending. Write an expression to model the total cost of the banquet for p people. What is the cost for 70 people?A. 14p + 90; $1,330 C. 90p + 14; $1,070B. 90 + 14p; $1,070 D. 14 + 90p; $1,330

Write an equation in point-slope form for the line through the given point with the given slope.

____ 45. (10, 3); m = − 43

A. y – 3 = − 43

(x – 10) C. y – 10 = − 43

(x – 3)

B. y + 3 = − 43

(x – 10) D. y + 3 = − 43

(x + 10)

____ 46. (10, –9); m = −2A. y – 10 = −2(x + 9) C. y – 9 = −2(x – 10)B. y – 9 = −2(x + 10) D. y + 9 = −2(x – 10)

Decide whether the relationship shown is linear. If so, choose the equation that models the data.

____ 47. x y

–9 –2

–5 –7

–1 –12

3 –17

A. The relationship is linear; y + 2 = 45

(x + 9).

B. The relationship is linear; y + 9 = − 45

(x + 2).

C. The relationship is not linear.

D. The relationship is linear; y + 2 = − 54

(x + 9).

Name: ______________________ ID: A

7

____ 48. The table shows the height of a plant as it grows.a. Model the data with an equation.b. Based on your model, predict the height of the plant at 12 months.

Time (mo) Plant Height (cm)

3 9

5 15

7 21

9 27

A. y – 3 = 32

(x –9); 39 cm C. y – 9 = 32

(x –3); 18 cm

B. y – 9 = 3(x –3); 36 cm D. The relationship cannot be modeled.

____ 49. A line passes through (2, –1) and (8, 4). Write an equation for the line in point-slope form. Rewrite the equation in standard form using integers.

A. y + 1 = 56

(x – 2); –5x + 6y = –16 C. y + 1 = 56

(x + 2); –5x + 6y = –16

B. y – 1 = 56

(x – 2); –5x + 6y = 16 D. y – 2 = 56

(x + 1); –5x + 6y = 17

Which number is a solution of the inequality?

____ 50. b > 11.3A. 15 B. 9 C. –14 D. 4

____ 51. m > 133

A. 3 B. 5 C. 2 D. –9

____ 52. 6 ≥ 6kA. 8 B. 18 C. 2 D. 1

____ 53. 3x − 15 ≥ 3

A. − 911

B. 5 C. 611

D. 6

Solve the inequality.

____ 54. q − 12 ≥ −13A. q ≥ 1 B. q ≥ −1 C. q ≥ 25 D. q ≥ −25

____ 55. c + 6 < −20A. c < −26 B. c < −14 C. c < 26 D. c < 14

Name: ______________________ ID: A

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____ 56. d

13≥ −3

A. d ≥ −16 B. d ≥ 39 C. d ≥ 10 D. d ≥ −39

____ 57. 12p < 96A. p < 8 B. p < 108 C. p < 84 D. p < −8

____ 58. q − 12 ≥ −13A. q ≥ 1 B. q ≥ −1 C. q ≥ 25 D. q ≥ −25

____ 59. c + 6 < −20A. c < −26 B. c < −14 C. c < 26 D. c < 14

____ 60. −7p − 16 > 82A. p < −9 B. p < −14 C. p > −14 D. p > 9

____ 61. w

−15− 13 ≥ 8

A. w ≤ −75 B. w ≥ 315 C. w ≤ −315 D. w ≥ 75

____ 62. Suppose that y varies inversely with x. Write an equation for the inverse variation y = 6 when x = 8.

A. y = x48

B. y = 2x C. x = y2

D. y = 48x

____ 63. Without using a calculator, choose the number that could be a representation of 28 on a calculator.

A. 5.2915026 B. 4.8989794 C. 5.9160797 D. 4.1231056

____ 64. A surveyor determined the distance between two docks on opposite sides of a lake. Which is the closest estimate of the distance between the two docks?

A. 2 mi B. 1 mi C. 2.3 mi D. 3 mi

Name: ______________________ ID: A

9

____ 65. Which one of the diagrams below could be used to solve the following problem: Justine rides her bike 3 miles to the east and then 10 miles to the south. How far is she from her starting point?

A. B. C. D.

____ 66. Between what two consecutive whole numbers does 42 lie?

A. 5 and 6 B. 6 and 7 C. 7 and 8 D. 4 and 5

____ 67. In triangle ABC below, side AB has a length of 6 centimeters and side BC has a length of 10 centimeters. What is the length of side AC?

A. 4 cm B. 6 cm C. 11.66 cm D. 8 cm

____ 68. A square board has an area of 5 square feet. To the nearest tenth of a foot, what is the length of one side of the board?

A. 2.5 ft B. 2.2 ft C. 5 ft D. 1.3 ft

____ 69. What is the length in centimeters of the hypotenuse of the right triangle below?

A. 2 2 + 8 2 cm B. 2 + 8 cm C. 8 – 2 cm D. 2 2 + 8 2 cm

Name: ______________________ ID: A

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____ 70. Name the section of the map in which San Francisco is located.

A. B-2 B. B-1 C. A-2 D. A-1

____ 71. Name the coordinates of point A in the graph.

A. (3, –5) B. (–3, –5) C. (–5, 3) D. (–3, 5)

Name: ______________________ ID: A

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____ 72. Name the point with the coordinates (–3, 3).

A. S B. K C. N D. D

____ 73. What are the coordinates of the point 4 units to the left of and 4 units below the point (2, 1)?A. (–3, –2) B. (6, –3) C. (6, 5) D. (–2, –3)

Simplify the square root.

____ 74. 36A. 18 C. 36B. 6 D. 1,296

____ 75. 16A. 16 B. 0.4 C. 40 D. 4

____ 76. – 25A. –0.5 B. 5 C. –5 D. –25

____ 77. Find the length of the side of a square with an area of 36 units.A. 1,296 units C. 18 unitsB. 36 units D. 6 units

____ 78. Suzanne wants to put a fence around her square garden. If the garden covers an area of 100 square feet, how many feet of fencing will Suzanne need?A. 20 ft C. 40 ftB. 10 ft D. 400 ft

Name: ______________________ ID: A

12

In the given right triangle, find the missing length to the nearest tenth.

____ 79.

A. 20.2 ft B. 7.5 ft C. 11.7 ft D. 17.3 ft

____ 80.

A. 3.7 ft B. 15.7 ft C. 5.9 ft D. 12.1 ft

The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.

____ 81. leg: 20 meters; hypotenuse: 25 metersA. 10.5 m B. 8.9 m C. 32 m D. 15 m

____ 82. Find the length of the hypotenuse. Round to the nearest tenth if necessary.

A. 6.9 ft B. 2.8 ft C. 5.7 ft D. 8 ft

____ 83. The legs of an isosceles right triangle are 11 centimeters long. Find the length of the hypotenuse. Round to the nearest tenth if necessary.A. 15.6 cm B. 22 cm C. 7.8 cm D. 19.1 cm

Name: ______________________ ID: A

13

____ 84. Ingrid is making a quilt using squares that measure 5 inches on each side. What is the length of a diagonal of one of the quilt squares? Round to the nearest tenth.A. 8.7 in. B. 7.1 in. C. 3.5 in. D. 14.2 in.

Find the missing lengths in the triangle. Round to the nearest tenth if necessary.

____ 85.

A. x = 8 in., y = 2.8 in. C. x = 8 in., y = 6.9 in.B. x = 6.9 in., y = 8 in. D. x = 12 in., y = 6.9 in.

____ 86.

A. a = 7.5 cm, b = 10.6 cm C. a = 7.5 cm, b = 13 cmB. a = 13 cm, b = 7.5 cm D. a = 5 cm, b = 13 cm

____ 87.

A. c = 6 in., d = 3 in. C. c = 9 in., d = 10.4 in.B. c = 3 in., d = 6 in. D. c = 9 in., d = 27 in.

Name: ______________________ ID: A

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____ 88. Jacob is playing with the sign below that says office. He decides to turn it 90 degrees counterclockwise around the center of the sign. How will the sign look after the rotation?

A. C.

B. D.

____ 89. If figure ABCD is translated so that the image of A is Aʹ at (–2, 2), then what will the coordinates of the image of C be after the translation (that is, Cʹ)?

A. (–2, 0) C. (–1, –3)B. (1, –2) D. (1, –3)

Name: ______________________ ID: A

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____ 90. Which of the following choices shows the translation of the hexagon as depicted in the illustration of the arrow below (1 unit to the right and 2 units down)?

A. C.

B. D.

____ 91. Which of the following designs would look exactly the same after being rotated 90 degrees around its center?A. C.

B. D.

Name: ______________________ ID: A

16

____ 92. How many lines of symmetry does the figure below have? If there are no lines of symmetry, write none.

A. 2 B. 1 C. 4 D. none

____ 93. How many lines of symmetry does the figure have?

A. 7 lines of symmetry C. 28 lines of symmetryB. 14 lines of symmetry D. infinitely many lines of symmetry

____ 94. State whether the figure has rotational symmetry. If so, what is the angle of rotation? Round your answer to the nearest tenth of a degree, if necessary.

A. yes; 45° B. yes; 11.3° C. yes; 22.5° D. no

Name: ______________________ ID: A

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____ 95. Rectangle ABCD has vertices A(–3, 1), B(–3, 2), C(–2, 1), and D(–2, 2). Graph ABCD and its translation 2 units to the right and 4 units down.A. C.

B. D.

____ 96. The vertices of ΔABC are A(5, 4), B(–5, –5), and C(4, –1). The triangle is reflected over the x-axis. Use arrow notation to describe the original triangle and its reflection.A. A(5, 4), B(–5, –5), C(4, –1) → A ʹ(–5, –4), B ʹ(5, 5), C ʹ(–4, 1)B. A(5, 4), B(–5, –5), C(4, –1) → A ʹ(–5, 4), B ʹ(5, –5), C ʹ(–4, –1)C. A(5, 4), B(–5, –5), C(4, –1) → A ʹ(5, 4), B ʹ(–5, –5), C ʹ(4, –1)D. A(5, 4), B(–5, –5), C(4, –1) → A ʹ(5, –4), B ʹ(–5, 5), C ʹ(4, 1)

Name: ______________________ ID: A

18

____ 97. If ABCD is congruent to PMNO, then:

A. BC ≅ AB B. BC ≅ NO C. BC ≅ MP D. BC ≅ MN

____ 98. Are the two figures congruent or not congruent?

A. Not congruent; the corresponding sides are not equal to the corresponding angles.B. Congruent; the corresponding sides are

congruent and the corresponding angles are congruent.C. Congruent; the corresponding sides are equal to the corresponding angles.D. Not congruent; the corresponding sides are not congruent.

Name: ______________________ ID: A

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____ 99. QR ≅ SR and PR ≅ TR. Select the correct congruence statement for the two triangles. What rule proves the congruence?

A. ΔQPR ≅ ΔRTS; SAS C. ΔQPR ≅ ΔSTR; ASAB. ΔQPR ≅ ΔSTR; SAS D. ΔQPR ≅ ΔRTS; SSS

____100. ∠Q ≅ ∠S and QR ≅ SR. Select the correct congruence statement for the two triangles. What rule proves the congruence?

A. ΔQPR ≅ ΔRTS; ASA C. ΔQPR ≅ ΔSTR; SASB. ΔQPR ≅ ΔSTR; ASA D. ΔQPR ≅ ΔRTS; SSS

____101. Point A(1, 4) is reflected over the y-axis. Write the coordinates of A ʹ.A. (–1, 4) B. (–1, –4) C. (1, –4) D. (1, 4)

Name: ______________________ ID: A

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____102. Write a rule to describe the translation of ΔABC to ΔA ʹB ʹC ʹ.

A. (x, y) → (x − 3, y + 4) C. (x, y) → (x + 4, y − 3)B. (x, y) → (x + 3, y − 4) D. (x, y) → (x − 4, y + 3)

____103. Write a description of the rule (x, y) → (x − 2, y − 7).A. translation 2 units to the right and 7 units upB. translation 2 units to the right and 7 units downC. translation 2 units to the left and 7 units upD. translation 2 units to the left and 7 units down

____104. Which statement represents “8 more than 6 times a number is 5 less than 3 times that number”?

A. 8 – 6x = 5 – 3x C. 6x + 8 = 3x – 5

B. 8 + 6x = 5 – 3x D. 8(6x) = 5(–3x)

____105. Which equation is not equivalent to W = 1500 – 150T?

A. 15(100 – 10T) C. 1500(1 – 150T)

B. 125 + 1375 – 10(15T) D. 10(150 – 15T)

____106. Which expression is equivalent to the factored form of x2 – 100?

A. (x + 100)(x – 1) C. (x – 90)(x – 10)

B. (x + 25)(x – 4) D. (x – 10)(x + 10)

Name: ______________________ ID: A

21

____107. If 30(x – 10) = 120, then x =

A. –14 B. 14 C. 80 D. –80

____108. Which of the following equations represents a linear function?

A. y = (3x + 10)x C. y = (3 – 10x)x

B. y = (3x – 10)(3 + 10) D. y = 3x(x – 3)

____109. Which of the following equations has a graph with exactly one x-intercept?

A. y = x2 – 25 C. y = (x + 4)(x – 4)

B. y = x2 + 4x + 4 D. y = x2 + 1x – 12

____110. Which of the following expressions is equivalent to 3(x + 4) – 6 + 5x?

A. 3x + 12 – x C. 8x – 2

B. 8x + 6 D. 2x + 6

____111. Which of the following expressions represents an odd number when n is any integer?

A. 2n + 1 B. 3n + 1 C. n + 1 D. 2n

____112. Which of the following equations has –1 as a solution?

A. 0 = x2 + 2x + 1 B. 0 = x2 – x

Simplify the expression.

____113. − 18− 2

7

A. 15

B. − 2356

C. 2356

D. − 18

____114. –6.5(–4.9)A. –16.25 B. –31.85 C. –12.25 D. 31.85

____115. (−2) 5

A. –32 B. 16 C. –10 D. 32

Name: ______________________ ID: A

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____116. −5 4

A. 20 B. 125 C. –625 D. 625

____117. 14

+ 56

+ 38

A. 1 1124

B. 1 524

C. 12

D. 3 34

____118. 23

+ 111

A. 111

B. 2533

C. 2 D. 314

____119. − 179

− 148

A. − 3172

B. −3 2336

C. −1 1417

D. 238

____120. 5 × (8 + 7) + 7A. 83 B. 53 C. 54 D. 82

____121. [2 ⋅ (10 + 5)] − 5A. 12.5 B. 20 C. 25 D. 120

____122. 12

(–12m + 38)

A. −6m + 38 C. −6m + 76B. –24m + 19 D. −6m + 19

____123. –12 ÷ (–2)A. 24 B. –6 C. –24 D. 6

Simplify the product.

____124. (x − 4)(x + 3)A. x 2 − 7x − 12 C. x 2 − x − 12B. x 2 + x − 12 D. x 2 − 12x − 1

____125. Simplify x − 2( ) x − 2( ) using the Distributive Property.A. 2x 2 − 4x + 4 B. x 2 − 4x + 4 C. 2x 2 − 4 D. 2x − 4

____126. Suppose 3s represents an even integer. What polynomial represents the product of 3s, the even integer that comes just before 3s, and the even integer that comes just after 3s?A. 27s3 + 12s B. 27s3 − 3s C. 27s3 − 12s D. 3s3 − 12s

Name: ______________________ ID: A

23

____127. The base of a triangle is (6h + 16) centimeters. The height of the triangle is (3h − 8) centimeters. Find the area of the triangle.

A. (18h 2 − 96h − 64) cm2 C. (18h 2 + 64) cm2

B. (9h 2 − 16h − 64) cm2 D. (9h 2 − 64) cm2

____128. Simplify 7(499) using the Distributive Property.A. 3500 B. 3493 C. 3514 D. 3486

Simplify the expression.

____129. 5(x + 10) + xA. 6x + 15 B. 5x + 15 C. 6x + 50 D. 4x − 50

____130. −6 − 7(c + 10)A. 64 − 7c B. −76 − 7c C. 4 − 13c D. −16 − 13c

____131. a. Find the value of a.b. Find the value of the marked angles.

A. 22; 100° B. 19; 88° C. 20; 92° D. 24; 108°

____132. The 9 officers of the Student Council are going on a trip to an amusement park. Each student must pay an entrance fee plus $5 for meals. The total cost of the trip is $225. Solve the equation 9(e + 5) = 225 to find the cost e of the entrance fee for each student.A. $20 B. $45 C. $25 D. $14

____133. Combine like terms: q + 12q.A. −13q B. −11q C. 11q D. 13q

Name: ______________________ ID: A

24

Factor the polynomial.

____134. 24w1 2 + 64w8

A. 8w8(3w4 + 8) C. 8(3w1 2 + 8w8)B. w8(24w4 + 64) D. 8w7(3w5 + 8w)

Factor the expression.

____135. d2 + 10d + 9A. (d + 9)(d – 1) C. (d – 9)(d – 1)B. (d – 9)(d + 1) D. (d + 9)(d + 1)

____136. k2 + kf – 2f2

A. (k – 2f)(k + f) C. (k + 2f)(k + f)B. (k + 2f)(k – f) D. (k – 2f)(k – f)

____137. 36y2 – 84y – 147A. (2y + 7)(6y – 7) C. (2y – 7)(18y + 21)B. 3(2y – 7)(6y + 7) D. 3(2y + 7)(6y + 7)

Name: ______________________ ID: A

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____138. Graph the function f(x) = 4 x .A. C.

B. D.

____139. Which equation represent a line that is parallel to the line y = 3x – 10?A. y = x + 3 C. y = x – 10

B. y = 3x + 7 D. y = 13

x – 10

____140. Which of the following is the midpoint of segment AB, where the coordinates of A are (4, 5) and the coordinates of B are (8, –1)?A. (6, 2) C. (12, 4)B. (2, 3) D. (6, 3)

____141. Which equation is equivalent to 3x – 6y = 18?

A. 3x + 18 = 6y C. y = 12

x – 3

B. 6y = –3x + 18 D. y = 12

x – 12

Name: ______________________ ID: A

26

____142. Which equation represents a line that is perpendicular to y = 3x – 10 and passes through point (3, 4)?

A. y = − 13

x – 4 C. y = –3x + 13

B. y = − 13

x + 5 D. y = 13

x – 4

____143. Which of the following is a solution to the system y = 3x + 5

y = 2x + 3

Ï

ÌÓ

ÔÔÔÔÔÔÔÔÔÔ

?

A. (–2, –1) C. (0, 5)B. (0, 3) D. (–1, 2)

____144. Which of the following is a solution to the system 3x + 2y = −3

3x − y = 6

Ï

ÌÓ

ÔÔÔÔÔÔÔÔÔÔ

?

A. (0, − 32

) C. (–1, 0)

B. (2, 0) D. (1, –3)

____145. Which of the following is a graph of the inequality 4x – 2y ≥ 10?

A. C.

B. D.

____146. Which of the following points is a solution to the system of inequalities y ≤ 2x + 10

x + y ≥ −4

Ï

ÌÓ

ÔÔÔÔÔÔÔÔÔÔ

?

A. (–8, –5) C. (5, –10)B. (–3, –1) D. (–5, 0)

Name: ______________________ ID: A

27

Write an equation of a line with the given slope and y-intercept.

____147. m = 1, b = 4A. y = 4x + 1 C. y = –1x + 4B. y = x – 4 D. y = x + 4

____148. m = 14

, b = − 34

A. y = 4x – 34

C. y = − 34

x + 14

B. y = 14

x – 34

D. y = 14

x + 34

____149. A line passes through (2, –1) and (8, 4). • Write an equation for the line in point-slope form. • Rewrite the equation in standard form using integers.

A. y + 1 = 56

(x – 2); –5x + 6y = –16 C. y + 1 = 56

(x + 2); –5x + 6y = –16

B. y – 1 = 56

(x – 2); –5x + 6y = 16 D. y – 2 = 56

(x + 1); –5x + 6y = 17

Find equations of lines that are parallel to the lines of the equation.

____150. y = 16

x + 8

–2x + 12y = –11A. Yes, since the slope are the same and the y-intercepts are the sameB. No, since the y-intercepts are differentC. Yes, since the slope are the same and the y-intercepts are differentD. No, since the slopes are different

____151. y = 5x + 6–18x + 3y = –54A. No, since the slopes are differentB. Yes, since the slopes are the same and the y-intercepts are differentC. No, since the y-intercepts are differentD. Yes, since the slope are the same and the y-intercepts are the same

Name: ______________________ ID: A

28

____152. The map shows Hope Road and the construction site for the new library. Find the equation of a “street”that passes through the building site and is parallel to Hope Road.

A. y = 3x + 4 C. y = − 13

x + 4

B. y = 13

x – 4 D. y = 13

x + 4

Write an equation for the line that is parallel to the given line and passes through the given point.

____153. y = 34

x – 9; (–8, –18)

A. y = 34

x + 112

C. y = 34

x – 12

B. y = 43

x – 12 D. y = − 43

x + 12

Find the midpoint of each segment with the given endpoints.

____154. C(1, –5) and D(–5, 1)A. (−2, −3) B. (–2, –2) C. (3, –2) D. (−2, −2)

Name: ______________________ ID: A

29

Graph the inequality on a coordinate plane.

____155. y < x + 3A. C.

B. D.

Name: ______________________ ID: A

30

____156. x ≥ –2

A. C.

B. D.

____157. Graph the inequality x ≤ −2.

A.

B.

C.

D.

Write and solve an inequality.

____158. The result of 6 subtracted from a number n is at least 2. What numbers are solutions?A. n − 2 > 6; n > 8 C. n + 6 ≤ 2; n ≤ 4B. n − 6 ≥ 2; n ≥ 8 D. n + 6 ≥ 2; n ≥ 4

Name: ______________________ ID: A

31

____159. An airline requires carry-on luggage to weigh at most 40 pounds. Your suitcase currently weighs 10 pounds. Write and solve an inequality to find the number of pounds p that are available for you to fill your suitcase with other items.A. p − 10 ≤ 40; p ≤ 50 C. p + 10 ≥ 40; p ≥ 30B. 40 − p < 10; p < 30 D. 10 + p ≤ 40; p ≤ 30

____160. The speed limit of a highway is 55 miles per hour. A car is traveling at least 65 miles per hour. Write and solve an inequality to find the miles per hour m over the speed limit the car traveling.A. 55 − m ≥ 65; m ≥ 10 C. 65 − m ≤ 55; m ≤ 10B. m + 65 ≤ 55; m ≤ −10 D. 55 + m ≥ 65; m ≥ 10

____161. The daily cost of renting a car is $21 plus $.53 per mile. Jane’s budget allows her to spend a maximum of $96.00 for a one-day rental. How many miles m can Jane drive the rental car in one day without exceeding her budget of $96.00?A. 21 ≥ 96.00 − 0.50m ; 150 or fewer milesB. 0.50m + 21 > 96.00; 150 or more milesC. 96.00 ≥ 21 + 0.50m ; 150 or more milesD. 0.50m + 21 ≤ 96.00; 150 or fewer miles

____162. You are planning a skating party at a rink that charges a basic fee of $38.00 and $6.50 per person for catered parties. You don’t want to spend more than $174.50. How many friends can you invite?A. 6.50m + 38.00 < 174.50; 21 or more friendsB. 174.50 ≥ 38.00m + 6.50; 5 or fewer friendsC. 38.00 + 6.50m ≤ 174.50; 21 or fewer friendsD. 174.50 − 6.50m ≤ 38.00; 32 or more friends

____163. What is the solution of the following system of equations?y = −4x + 7y = −x + 4A. (4, 0) B. (1, 3) C. (–3, 19) D. (0, 7)

Name: ______________________ ID: A

32

Graph the inequality.

____164. 4x + 6y ≥ 10A. C.

B. D.

Name: ______________________ ID: A

33

____165. y < 4x − 2A. C.

B. D.

Name: ______________________ ID: A

34

____166. y > −5x + 3A. C.

B. D.

____167. Write the following inequality in slope-intercept form.5x − 5y ≥ 70A. y ≥ x − 14 B. y ≤ x + 14 C. y ≤ x − 14 D. y ≥ x + 14

Name: ______________________ ID: A

35

____168. You have $47 to spend at the music store. Each cassette tape costs $5 and each CD costs $10. Write and graph a linear inequality that represents this situation. Let x represent the number of tapes and y the number of CDs.A. 5x + 10y ≥ 47 C. 10x + 5y ≤ 47

B. 10x + 5y ≥ 47 D. 5x + 10y ≤ 47

Name: ______________________ ID: A

36

Write the linear inequality shown in the graph.

____169.

A. y ≥ −3x + 4 B. y ≤ −3x + 4 C. y ≥ −3x − 4 D. y ≤ −3x − 4

____170.

A. x > −3 B. x ≥ −3 C. y > −3 D. y ≥ −3

Name: ______________________ ID: A

37

____171.

A. y > 4x − 3 B. y ≤ 4x + 3 C. y < 4x − 3 D. y ≥ 4x + 3

ID: A

1

Summer Math Practice: Grade 8 ReviewAnswer Section

MULTIPLE CHOICE

1. B 2. D 3. C 4. D 5. C 6. C 7. D 8. B 9. D 10. A 11. A 12. B 13. A 14. B 15. D 16. B 17. B 18. A 19. C 20. D 21. D 22. C 23. C 24. B 25. D 26. C 27. A 28. C 29. B 30. B 31. A 32. A 33. B 34. D 35. A 36. C 37. A 38. C 39. A 40. A

ID: A

2

41. B 42. B 43. D 44. B 45. A 46. D 47. D 48. B 49. A 50. A 51. B 52. D 53. D 54. B 55. A 56. D 57. A 58. B 59. A 60. B 61. C 62. D 63. A 64. C 65. A 66. B 67. D 68. B 69. A 70. C 71. A 72. B 73. D 74. B 75. D 76. C 77. D 78. C 79. A 80. D 81. D 82. C 83. A 84. B 85. C 86. C

ID: A

3

87. B 88. C 89. A 90. D 91. D 92. A 93. A 94. A 95. B 96. D 97. D 98. B 99. B 100. B 101. A 102. B 103. D 104. C 105. C 106. D 107. B 108. B 109. B 110. B 111. A 112. A 113. B 114. D 115. A 116. C 117. A 118. B 119. B 120. D 121. C 122. D 123. D 124. C 125. B 126. C 127. D 128. B 129. C 130. B 131. C 132. A

ID: A

4

133. D 134. A 135. D 136. B 137. B 138. A 139. B 140. A 141. C 142. B 143. A 144. D 145. A 146. B 147. D 148. B 149. A 150. C 151. A 152. D 153. C 154. B 155. C 156. C 157. B 158. B 159. D 160. D 161. D 162. C 163. B 164. D 165. C 166. D 167. C 168. D 169. B 170. C 171. A