Math

PreCal Review Packet answers

1. x = 1 2. x = 4
5 3. y = 3 x − 4
-10 -5

10 5 5 -5 10

4. y =

15 1+3x

16.

-10

5. x > 7 6. x < 3 or x ≥ 8 7. −3 ≤ x ≤ 8. −5 < x <
8 3 3 2
-10 -5

10 5 5 -5 10

9. x ≤ −12 or x ≥ 13 10. parallel 11. perp

17.

-10

10 5 -10 -5 -5 5 10

12. neither and y = 4 x − 5 5
3 13. y = − 5 x
10 5 -10 -5 -5 5 10

18.

-10

10 5 -10 -5 -5 5 10

14.

-10

19.

-10

10 5 -10 -5 -5 5 10 -10 -5

10 5 5 -5 10

15.

-10

20. 1

-10

10 5 -10 -5 -5 5 10

21. 22. inf. many

-10

41. − 7 , − 1 2 2 √ 42. ±3 6 √ 43. −1 ± 2 5 √ 44. 2 ± 2 3 √ 45. 5 ± 26 46. x = −1 or x = 47. x = 2 ± 2i √ −3 ± 73 4 √ 1 ± 13 49. x = 4 48. x = 50. y = −2x2 − 4x − 6
1 51. y = 9 (x2 − 4x + 13) 7 2

23. 1 solution at (−4, 1) 24. no solution 25. 1 solution at (9, 6) 26. 14 27. 5 28. 4 29. -2
10

52. 16x2 − 8x + 1 53. 2x3 + 2xx2 − 31x + 60 54. 8x3 + 36x2 + 54x + 27
5

55. (x2 + 8)(x + 5)
5 10

-10

-5

56. (x + 3)(x2 − 3x + 9) 57. (2x2 − 5)(x + 9)

-5

30.

-10

58. 3x(x2 − 3)(x2 + 5) √ √ 13 + 109 13 − 109 59. , the extraneous root is 2 2 60. ±64, no extraneous 61. 10, no extraneous 62. -8, no extraneous 63. 3, extraneous is -4 √ √ 64. 3 − 2 2, extraneous is 3 + 2 2 65. −2w + 6 66. v − 8 + 67. Whee! √ 68. 6m3 2 √ 69. 4z 3 3 2 −15 v−8

31. (3x − 1)(x + 4) 32. (9x − 2)(x − 6) 33. 2(x + 2)(2x − 5) 34. (x + 7)(2x − 1). roots are −7, 1 2 35. (x + 3)(3x + 2). roots are −3, − 2 3 36. 2x(x + 4)(x − 4) roots are 0, ±4 37. x(x − 1)(2x − 3). roots are 0, 1, 3 2 38. (2x − 3)(3x + 1). roots are 3 , − 1 2 3 39. x(3x + 2)(3x − 2). roots are 0, ± 2 3 40. −7, 3

√ 2 15n 3n2 √ √ 71. 9 6 − 4 3 √ √ 72. 7 3 − 3 5 √ 73. 7 7 + 1 70. 74. 2x4 75. 76. 77. 78. 79. 80. 81. 82. 83. x−3 x+3 7x3 5 26 15x 4x − 13 x2 + x − 6 4 − 4x 2x + 1 r−3 (r + 6)2 2p2 − 4p + 10 (p + 7)(p − 7)(p + 3) −6n2 + 25n + 35 (n − 1)(n + 5) x (x + 3)2

84. x = − 5 3 85. x =
7 2

86. x = −2 ±



11

87. x = 6 or x = −11

3

Math 8.1 of 10 on the basis of 1921 Review.