# You asked for ’em? You got ’em!

Thank you so much to everyone who has been giving feedback on the workbook. The success of this project would never be possible without the endless feedback from all you math-loving people.

One of the biggest requests I have been receiving however is that people would like more review on solving quadratic equations. I thought that this was a great idea, as solving quadratics is essential to SAT success

The first 25 problems are those than can be solved by factoring alone. The answer key is posted as well but remember, DON’T CHEAT YOURSELF!

Problems 25 – 50 should be solved by completing the square. Leave the answer in ∓√x form. Reminder that not all problems have a real solution. Calculators are allowed for this section!

Problems 50 – 75 should be solved by using the quadratic formula. Most will end up looking like ( x ± √y)/z

The final 25 problems can be solved any way you would like. I recommend whenever dealing with a quadratic to start by searching to factor, then try to easily complete the square but if it is inconvenient, then use the quadratic formula. If you are low on time, USE THE QUADRATIC FORMULA, as it will always work.

1.  + 6x + 9 = 0
2.  + 7x + 12 = 0
3.  – 9 = 0
4.  + 4x – 21 = 0
5.  – 15x + 56 = 0
6.  – 22x + 105 = 0
7.  – x – 12 = 0
8.  +7x – 18= 0
9.  – 10x + 16= 0
10.  + 15x – 100= 0
11.  – 5x – 24= 0
12.  – 27x + 110= 0
13.  +12x – 45= 0
14.  + 4x + 4= 0
15.  + 6x + 8= 0
16.  – 2x – 63= 0
17.  + 21x – 22= 0
18.  – 12x – 160= 0
19.  – x -12= 0
20.  – 15x + 54= 0
21.  – 11x – 42= 0
22.  + 9x + 18= 0
23.  + 12x + 32= 0
24.  – 7x – 18= 0
25. X²  + 16x – 80= 0
26. X²  – 12x = 24
27. X²  + 18x = 23
28. X²  + 4x = -10
29. X²  + 8x = 33
30. X²  – 16x = -15
31. X²  – 24x = 22
32. X²  + 100x = 32
33. X²  – 26x = -16
34. X²  + 8x = 27
35. X²  – 4x = 42
36. X²  + 10x = -9
37. X²  + 12x = 0
38. X²  + 4x = 21
39. X²  + 26x = -18
40. X²  – 28x = 3
41. X²  + 24x = -15
42. X²  + 22x = 23
43. X²  + 6x = -36
44. X²  + 8x = 34
45. X²  + 18x = 45
46. X²  – 16x = -50
47. X²  – 14x = 23
48. X²  + 12x = -14
49. X²  + 44x = 22
50. X² + 22x = 0
51. 2X² – 4x – 9 = 0
52. 3X² + 2x – 3 = 0
53. 4X² + 8x + 6 = 0
54. 5X² – 9x + 4 = 0
55. 11X² + 13x = 2
56. 3X² – 6x – 5 = 0
57. X² + 17x + 4 = 0
58. 9X² + 9x – 12  = 0
59. 8X² – 12x – 2 = 0
60. 3X² – 9x =  -11
61. 4X² – x + 20 = 0
62. 7X² + 15x – 1 = 0
63. 2X² +10x – 32 = 0
64. 4X² – 13x + 5 = 0
65. 3X² + 33x – 1 = 0
66. 2X² – 12x – 22 = 0
67. 8X² – 8x – 3 = 0
68. 9X² + 9x – 6 = 0
69. X² + 4x – 8 = 0
70. 12X² + 2x = 10
71. 6X² – 20x + 2 = 0
72. 7X² – 11x – 6 = 0
73. X² + 7x + 9 = 0
74. 11X² – 6x + 2 = 0
75. X² + 6x + 9 = 0
76. X² – 9 = 0
77. 3X² + x – 2 = 0
78. 2X² + 2x – 5 = 0
79. 5X² – 6x – 30 = 0
80. 6X² + x – 9 = 0
81. X² + 4x – 8 = 0
82. X² + 11x  = -20
83. 9X² + 21x – 6 = 0
84. X² + 8x + 15 = 0
85. 4X² – 3x + 12 = 0
86. 2X² – 5x + 1 = 0
87. X² – 9x  = 12
88. X² – 11x – 7 = 0
89. 9X² + x + 2 = 0
90. X² + 8x + 16 = 0
91. X² + 10x + 9 = 0
92. X² – 6x = 12
93. X² + 9x – 9 = 0
94. 3X² + 11x – 12 = 0
95. 6X² – 15x + 5 = 0
96. 2X² + 9x + 4 = 0
97. 5X² + 12x – 9 = 0
98. X² + x – 12 = 0
99. 100X² – 800x + 700 = 0
100. X² – x – 506 = 0