Thanks so much for your feedback! Hit the jump for an updated answer key for the SAT MATH WORKBOOK!

1. X =  -3
2. X = 4,-3
3. X = 3,-3
4. X = -7,3
5. X = 7,8
6. X = 15,7
7. X = 4,-3
8. X = -9,2
9. X = 8,2
10. X = -20,5
11. X = -18, -3
12. X = 22, 5
13. X = -15,3
14. X = -2
15. X = -3,-2
16. X = 9,-7
17. X = -22,1
18. X = 20,-8
19. X = 4,-3
20. X = 9,6
21. X = 14,-3
22. X = -6,-3
23. X = -8,-4
24. X = 9,-2
25. X = -20,4
26. x= 6+2√15 or 6-2√15
27. x=−9+2√26 or x=−9−2√26
28. No Solutions! This happens whenever the inside of the square root is negative.
29. x=3 or x=−11
30. x=15 or x=1
31. x=12+√166 or x=12−√166
32. x=−50+2√633 or x=−50−2√633
33. x=13+3√17 or x=13−3√17
34. x=−4+√43 or x=−4−√43
35. x=2+√46 or x=2−√46
36. x=−1 or x=−9
37. x=0 or x=−12
38. x=3 or x=−7
39. x=−13+√151 or x=−13−√151
40. x=14+√199 or x=14−√199
41. x=−12+√129 or x=−12−√129
42. x=1 or x=−23
43. No Real Solutions
44. x=−4+5√2 or x=−4−5√2
45. x=−9+3√14 or x=−9−3√14
46. x=8+√14 or x=8−√14
47. x=7+6√2 or x=7−6√2
48. x=−6+√22 or x=−6−√22
49. x=−22+√506 or x=−22−√506
50. x=0 or x=−22
51. x = (4 ± √88) / 4
52. x = (-2 ± √40) / 6
53. No Real Solutions
54. x = 1 or ⅘
55. x = (-13 ± 257) / 22
56. x = (6 ± √96) / 6
57. x = (17 ± √273) / 2
58. x = (-9 ± √513) / 18
59. x = (12 ± √208) / 16
60. No Real Solutions
61. No Real Solutions
62. x = (-15 ± √253) / 14
63. x = (-10 ± √356) / 4
64. x = (13 ± √89) / 8
65. x = (-33 ± √1101) / 6
66. x = (12 ± √320) / 4
67. x = (8 ± √160) / 16
68. x = (-9 ± √297) / 18
69. x = (-4 ± √48) / 2
70. x =⅚ or -1
71. x = (20 ± √352) / 12
72. x = 2 or -3/7
73. x = (-7 ± √13) / 2
74. No Real Solutions
75. x=−3
76. x=3 or x=−3
77. x = ⅔ or x = -1
78. x = (-2 ± √44) / 4
79. x = (6 ± √636) / 10
80. x = (-1 ± √217) / 12
81. x = (-4 ± √48) / 2
82. x = (-1 ± √41) / 2
83. x = (-21 ± √657) / 18
84. x = -3 or x = -5
85. No Real Solutions
86. x = (5 ± √17) / 4
87. x = (9 ± √129) / 2
88. x = (11 ± √149) / 2
89. No Real Solutions
90. x = -4
91. x = -1 or x =  -9
92. x = (6 ± √84) / 2
93. x = (-9 ± √117) / 2
94. x = (-11 ± √265) / 6
95. x = (15 ± √105) / 12
96. x = -½ or x = -4
97. x = ⅗ or x = -3
98. x = 3 or x = -4
99. x = 7 or x = 1
100. x = 23 or x = -22