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Comprehensive Mathematics Exam Review Answers

Get answers for algebra, trigonometry, sequences, and complex numbers. Review includes equations, inequalities, and functions. Improve your math skills and ace your exam!

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Comprehensive Mathematics Exam Review Answers

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  1. 1st Nine Weeks Exam Review Answers • 1. x = y = 2. x = 13; y = • 3. x = ; y = 14 4. x = ; y = • 5. x = 6; y = 6.7. • 8. 9. • 10.cos (A) = sin (B)11. sin (A) = cos (B)

  2. 12. 13. 14. 15. 16. 17. 18. 11.4 19. 52o • 20. 7.5 21. 65° 22. 35 23. 42.1 • 24. 8890.8 feet 25. 426.7 meters

  3. 26. 7i27.-1 28. • 29. 30. 5 + 17i 31. 23 + 17i • 32. -2 + 12i 33. 3 – 7i 34. -1 + 17i • 35. -32 + 4i36. -21 + 20i 37. • 38. 39. 40.

  4. 41. y = -2x2 + 12x – 14 42. y = 3x2 + 6x – 2 • 43. y = 2(x + 1)2 – 8 44. y = -(x – 5)2 + 26 • 45. x = 2 46. x = 15/8 • 47. D: All reals R: y ≥ -4 V: (-1, -4) A of S: x = -1 • min E: min = -4 x-int: (-3, 0) and (1, 0) • y-int: (0, -3) Inc: x > -1 Dec: x < -1 RC: 6 • 48a. 3 seconds 48b. 35 feet

  5. 49. an = a1 + d(n – 1) 50. • 51. E:an= 5 + 3(n – 1) 52. E: an= 49 – 7(n-1) • E: an = 3n + 2 E: an = -7n + 56 • R: a1 = 5; an = an-1 + 3 R: a1 = 49; an = an-1 – 7 • 53. 1960 54. -1001 • 55. x = -6, 5 56. x = -½, -4 • 57. 58.

  6. 59. 60. • 61. 0; 1 real 62. -20; 2 imaginary 63. 25; 2 real • 64. x ≤ 2/5 or x≥ 5 65. 2 < x < 8 • 66. x = 5 or x = -11 67. x = 7 or x = -3 2 8 2/5 5

  7. -5 < x < 9 69. x ≥ 5 or x ≤ 3 • 70. x > 1 or x < -4 71. -9 ≤ x ≤ -3 3 5 -5 9 -4 1 -9 3 D: {0, 5, 10, 15} R: {5, 10, 15, 20} F: Yes One: Yes 73. D: {-2, -1, 0, 1, 2} R: {-4, 4} F: Yes One: No

  8. y = 2x – 1  – 2 75. 76. 77.

  9. 78.

  10. 79. 80. Variable: x < 2 Constant: x ≥ 2

  11. 81. D: -2 ≤ x ≤ 6 R: -3 ≤ y < 6 • x-int: (-1, 0) and (4, 0) y-int: (0, 3) • Inc: -2 ≤ x < 1 Dec: 1 ≤ x ≤ 6 • PD: x = 1 • 82. D: All reals R: y ≥ 4 V: (3, 4) A of S: x = 3 • min E: min = 4 x-int: None • y-int: (0, 7) Inc: x > 3 Dec: x < 3 • RC(L): -1 RC(R): 1

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