Grade 8 · Pre-Algebra

Grade 8 Pre-Algebra questions and answers

Ratios, slope, integers, and the Pythagorean theorem. Written in American English for students, parents, and teachers in the United States.

Topics

Practice quiz

Question and answer list

Each item is a 4-option MCQ. Open a question, tap A–D. Green is correct, red is wrong. Original US classroom practice — not a state test copy.

1. Grade 8 math — pythagorean: practice check 61 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

2. Grade 8 math — pythagorean: practice check 62 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

3. Grade 8 math — pythagorean: practice check 63 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

4. Grade 8 math — pythagorean: practice check 64 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

5. Grade 8 math — pythagorean: practice check 65 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

6. Grade 8 math — pythagorean: practice check 66 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

7. Grade 8 math — pythagorean: practice check 67 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

8. Grade 8 math — pythagorean: practice check 68 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

9. Grade 8 math — pythagorean: practice check 69 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

10. Grade 8 math — pythagorean: practice check 70 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

11. Grade 8 math — pythagorean: practice check 71 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

12. Grade 8 math — pythagorean: practice check 72 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

13. Grade 8 math — pythagorean: practice check 73 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

14. Grade 8 math — pythagorean: practice check 74 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

15. Grade 8 math — pythagorean: practice check 75 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

16. Grade 8 math — pythagorean: practice check 76 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

17. Grade 8 math — pythagorean: practice check 77 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

18. Grade 8 math — pythagorean: practice check 78 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

19. Grade 8 math — pythagorean: practice check 79 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

20. Grade 8 math — pythagorean: practice check 80 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

21. Grade 8 math — pythagorean: practice check 81 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

22. Grade 8 math — pythagorean: practice check 82 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

23. Grade 8 math — pythagorean: practice check 83 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

24. Grade 8 math — pythagorean: practice check 84 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

25. Grade 8 math — pythagorean: practice check 85 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

26. Grade 8 math — pythagorean: practice check 86 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

27. Grade 8 math — pythagorean: practice check 87 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

28. Grade 8 math — pythagorean: practice check 88 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

29. Grade 8 math — pythagorean: practice check 89 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

30. Grade 8 math — pythagorean: practice check 90 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

31. Grade 8 math — pythagorean: practice check 91 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

32. Grade 8 math — pythagorean: practice check 92 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

33. The Pythagorean theorem is

Tap A, B, C or D.

Answer: D) a² + b² = c²

Only for right triangles; c is the hypotenuse.

34. The hypotenuse is

Tap A, B, C or D.

Answer: A) the side opposite the right angle

It is the longest side.

35. If a = 3 and b = 4, c =

Tap A, B, C or D.

Answer: D) 5

9 + 16 = 25, √25 = 5.

36. If a = 5, b = 12, c =

Tap A, B, C or D.

Answer: D) 13

25 + 144 = 169, √169 = 13.

37. A 6-8-10 triangle is a

Tap A, B, C or D.

Answer: D) scaled 3-4-5 right triangle

Multiply 3-4-5 by 2.

38. If c = 10 and a = 6, b =

Tap A, B, C or D.

Answer: B) 8

36 + b² = 100 → b² = 64.

39. You can use the theorem to find

Tap A, B, C or D.

Answer: A) the distance between two points on a grid

Think of the legs as Δx and Δy.

40. The theorem does not apply to

Tap A, B, C or D.

Answer: B) a triangle with no right angle

All angles must include 90°.

41. Grade 8 math — pythagorean: practice check 1 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

42. Grade 8 math — pythagorean: practice check 2 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

43. Grade 8 math — pythagorean: practice check 3 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

44. Grade 8 math — pythagorean: practice check 4 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

45. Grade 8 math — pythagorean: practice check 5 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

46. Grade 8 math — pythagorean: practice check 6 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

47. Grade 8 math — pythagorean: practice check 7 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

48. Grade 8 math — pythagorean: practice check 8 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

49. Grade 8 math — pythagorean: practice check 9 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

50. Grade 8 math — pythagorean: practice check 10 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

51. Grade 8 math — pythagorean: practice check 11 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

52. Grade 8 math — pythagorean: practice check 12 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

53. Grade 8 math — pythagorean: practice check 13 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

54. Grade 8 math — pythagorean: practice check 14 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

55. Grade 8 math — pythagorean: practice check 15 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

56. Grade 8 math — pythagorean: practice check 16 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

57. Grade 8 math — pythagorean: practice check 17 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

58. Grade 8 math — pythagorean: practice check 18 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

59. Grade 8 math — pythagorean: practice check 19 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

60. Grade 8 math — pythagorean: practice check 20 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

61. Grade 8 math — pythagorean: practice check 21 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

62. Grade 8 math — pythagorean: practice check 22 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

63. Grade 8 math — pythagorean: practice check 23 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

64. Grade 8 math — pythagorean: practice check 24 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

65. Grade 8 math — pythagorean: practice check 25 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

66. Grade 8 math — pythagorean: practice check 26 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

67. Grade 8 math — pythagorean: practice check 27 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

68. Grade 8 math — pythagorean: practice check 28 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

69. Grade 8 math — pythagorean: practice check 29 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

70. Grade 8 math — pythagorean: practice check 30 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

71. Grade 8 math — pythagorean: practice check 31 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

72. Grade 8 math — pythagorean: practice check 32 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

73. Grade 8 math — pythagorean: practice check 33 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

74. Grade 8 math — pythagorean: practice check 34 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

75. Grade 8 math — pythagorean: practice check 35 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

76. Grade 8 math — pythagorean: practice check 36 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

77. Grade 8 math — pythagorean: practice check 37 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

78. Grade 8 math — pythagorean: practice check 38 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

79. Grade 8 math — pythagorean: practice check 39 — the reliable next step is

Tap A, B, C or D.

Answer: B) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

80. Grade 8 math — pythagorean: practice check 40 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

81. Grade 8 math — pythagorean: practice check 41 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

82. Grade 8 math — pythagorean: practice check 42 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

83. Grade 8 math — pythagorean: practice check 43 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

84. Grade 8 math — pythagorean: practice check 44 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

85. Grade 8 math — pythagorean: practice check 45 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

86. Grade 8 math — pythagorean: practice check 46 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

87. Grade 8 math — pythagorean: practice check 47 — the reliable next step is

Tap A, B, C or D.

Answer: C) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

88. Grade 8 math — pythagorean: practice check 48 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

89. Grade 8 math — pythagorean: practice check 49 — the reliable next step is

Tap A, B, C or D.

Answer: A) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

90. Grade 8 math — slope: practice check 92 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

91. In y = mx + b, m is the

Tap A, B, C or D.

Answer: C) slope

Rise over run.

92. In y = mx + b, b is the

Tap A, B, C or D.

Answer: A) y-intercept

The line crosses the y-axis at (0, b).

93. Slope is calculated as

Tap A, B, C or D.

Answer: C) (y₂ − y₁) / (x₂ − x₁)

Vertical change over horizontal change.

94. A line with slope 0 is

Tap A, B, C or D.

Answer: D) horizontal

y does not change.

95. A vertical line has

Tap A, B, C or D.

Answer: D) undefined slope

You would divide by zero.

96. The slope of the line through (1, 2) and (3, 6) is

Tap A, B, C or D.

Answer: A) 2

(6 − 2) / (3 − 1) = 4/2 = 2.

97. y = −3x + 5 has a slope that is

Tap A, B, C or D.

Answer: B) negative, so the line falls left to right

Negative m means the line decreases.

98. Parallel lines have

Tap A, B, C or D.

Answer: C) the same slope

Perpendicular slopes are opposite reciprocals.

99. Grade 8 math — slope: practice check 1 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.

100. Grade 8 math — slope: practice check 2 — the reliable next step is

Tap A, B, C or D.

Answer: D) try the item, then read the tip

Original GKSchools practice — not a state exam leak. Come back tomorrow; order rotates.