Grade 11 · Algebra 2

Grade 11 Algebra 2 questions and answers

The algebra, geometry, and SAT items US students search most. 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 11 math — quadratics: practice check 56 — 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.

2. Grade 11 math — quadratics: practice check 57 — 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.

3. Grade 11 math — quadratics: practice check 58 — 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.

4. Grade 11 math — quadratics: practice check 59 — 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 11 math — quadratics: practice check 60 — 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.

6. Grade 11 math — quadratics: 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.

7. Grade 11 math — quadratics: 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.

8. Grade 11 math — quadratics: 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.

9. Grade 11 math — quadratics: 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.

10. Grade 11 math — quadratics: 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.

11. Grade 11 math — quadratics: 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.

12. Grade 11 math — quadratics: 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.

13. Grade 11 math — quadratics: 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.

14. Grade 11 math — quadratics: 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.

15. Grade 11 math — quadratics: 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.

16. Grade 11 math — quadratics: 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.

17. Grade 11 math — quadratics: 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.

18. Grade 11 math — quadratics: 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.

19. Grade 11 math — quadratics: 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.

20. Grade 11 math — quadratics: 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.

21. Grade 11 math — quadratics: 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.

22. Grade 11 math — quadratics: 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.

23. Grade 11 math — quadratics: 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.

24. Grade 11 math — quadratics: 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.

25. Grade 11 math — quadratics: 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.

26. Grade 11 math — quadratics: 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.

27. Grade 11 math — quadratics: 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.

28. Grade 11 math — quadratics: 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.

29. Grade 11 math — quadratics: 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.

30. Grade 11 math — quadratics: 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.

31. Grade 11 math — quadratics: 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.

32. Grade 11 math — quadratics: 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.

33. Grade 11 math — quadratics: 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.

34. Grade 11 math — quadratics: 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.

35. Grade 11 math — quadratics: 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.

36. Grade 11 math — quadratics: 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.

37. Grade 11 math — quadratics: 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.

38. The quadratic formula is

Tap A, B, C or D.

Answer: C) x = (−b ± √(b² − 4ac)) / 2a

It solves ax² + bx + c = 0.

39. In ax² + bx + c = 0, the discriminant is

Tap A, B, C or D.

Answer: C) b² − 4ac

It tells how many real roots.

40. If the discriminant is negative, there are

Tap A, B, C or D.

Answer: A) no real roots

The graph does not cross the x-axis.

41. If the discriminant is zero, there is

Tap A, B, C or D.

Answer: A) one real root (a repeated root)

The vertex sits on the x-axis.

42. The axis of symmetry is

Tap A, B, C or D.

Answer: B) x = −b/(2a)

It is a vertical line through the vertex.

43. A parabola opens upward when

Tap A, B, C or D.

Answer: A) a > 0

a is the coefficient of x².

44. FOIL is a way to

Tap A, B, C or D.

Answer: B) multiply two binomials

(x+2)(x+3) = x² + 5x + 6.

45. The solutions of x² − 5x + 6 = 0 are

Tap A, B, C or D.

Answer: B) x = 2 and x = 3

Factors as (x−2)(x−3).

46. Grade 11 math — quadratics: practice check 1 — 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.

47. Grade 11 math — quadratics: practice check 2 — 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.

48. Grade 11 math — quadratics: practice check 3 — 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.

49. Grade 11 math — quadratics: practice check 4 — 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 11 math — quadratics: practice check 5 — 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.

51. Grade 11 math — quadratics: practice check 6 — 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.

52. Grade 11 math — quadratics: practice check 7 — 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.

53. Grade 11 math — quadratics: practice check 8 — 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.

54. Grade 11 math — quadratics: practice check 9 — 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.

55. Grade 11 math — quadratics: 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.

56. Grade 11 math — quadratics: 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.

57. Grade 11 math — functions: 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.

58. Grade 11 math — functions: 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.

59. Grade 11 math — functions: 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.

60. Grade 11 math — functions: 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.

61. Grade 11 math — functions: 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.

62. Grade 11 math — functions: 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.

63. Grade 11 math — functions: 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.

64. Grade 11 math — functions: 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.

65. Grade 11 math — functions: 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.

66. Grade 11 math — functions: 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.

67. Grade 11 math — functions: 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.

68. Grade 11 math — functions: 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.

69. Grade 11 math — functions: 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.

70. Grade 11 math — functions: 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.

71. Grade 11 math — functions: 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.

72. Grade 11 math — functions: 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.

73. Grade 11 math — functions: 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.

74. Grade 11 math — functions: 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.

75. Grade 11 math — functions: 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.

76. Grade 11 math — functions: 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.

77. Grade 11 math — functions: 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.

78. Grade 11 math — functions: 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.

79. Grade 11 math — functions: 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.

80. Grade 11 math — functions: 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.

81. Grade 11 math — functions: 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.

82. Grade 11 math — functions: 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.

83. Grade 11 math — functions: 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.

84. Grade 11 math — functions: 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.

85. Grade 11 math — functions: 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.

86. Grade 11 math — functions: 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.

87. Grade 11 math — functions: 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.

88. Grade 11 math — functions: 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.

89. A function assigns

Tap A, B, C or D.

Answer: B) exactly one output to each input

The vertical-line test checks graphs.

90. f(3) means

Tap A, B, C or D.

Answer: A) the output when the input is 3

Substitute 3 for x.

91. If f(x) = 2x + 1, f(4) =

Tap A, B, C or D.

Answer: B) 9

2(4)+1 = 9.

92. Domain is the set of

Tap A, B, C or D.

Answer: C) allowed inputs

Watch for division by zero and even roots of negatives (over the reals).

93. Range is the set of

Tap A, B, C or D.

Answer: A) outputs that actually occur

For y = x², range is y ≥ 0.

94. (f + g)(x) means

Tap A, B, C or D.

Answer: A) f(x) + g(x)

Add outputs.

95. A composition f(g(x)) means

Tap A, B, C or D.

Answer: D) plug g(x) into f

Inside first.

96. An inverse function undoes

Tap A, B, C or D.

Answer: C) the original function

f(f⁻¹(x)) = x.

97. Grade 11 math — functions: practice check 1 — 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.

98. Grade 11 math — functions: practice check 2 — 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.

99. Grade 11 math — functions: practice check 3 — 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.

100. Grade 11 math — functions: practice check 4 — 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.