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Group 1 – Factor completely
1.
2.
3.
4.
5.
x2 – 121
6x2 – 9x
x2 – 4x – 60
2x2 – 7x – 4
6x2 + 5x – 6
Group 2 – Solve by factoring
6.
7.
8.
9.
10.
x2 + 3x – 28 = 0
9x2 – 16 = 0
2x2 + 7x + 6 = 0
x2 – 5x – 6 = 0
x2 + 13x = 30
Group 3 – Solve by the square root method
11.
12.
13.
14.
15.
4x2 – 64 = 0
x2 + 25 = 0
3x2 + 4 = -8
(x + 4)2 = 20
2(x – 3)2 = -18
Group 4 – Solve by the quadratic formula/determine the number of solutions
Solve by using the quadratic formula
16.
17.
18.
x2 + 8x + 5 = 2x + 1
2x2 – 4x + 8 = 0
x2 – 8x – 10 = 0
Determine the number and the type of solutions
19.
20.
x2 – 12x + 15 = 0
x2 + x + 3 = 0
Group 5 - Solve by any method
21.
22.
23.
24.
25.
x2 – 9x + 8 = 0
x2 + 3x – 18 = 0
6x2 – 9x + 4 = 0
x2 – 9 = 0
(x + 1)2 – 4 = 12
Group 6 – Simplify Complex Numbers
26.
27.
28.
(3 + 2i) – (-5 – 6i)
(3 + 2i)(-5 – 6i)
3  2i
 5  6i
29.
 120
30.
3
7
Answers:
1. (x + 11 )(x – 11)
4. (x – 4)(2x + 1)
2. 3x(2x – 3)
5. (3x – 2)(2x+3)
3. (x – 10)(x + 6)
6. x = -7 or 4
9. x = 6 or – 1
7. x = -4/3 or 4/3
10. x = -15 or 2
8. x = -3/2 or -2
11. x = 4 or -4
14. x = -4 ± 2√5
12. x = 5i or -5i
15. x = 3 ± 3i
13. x = 2i or -2i
16. x = -3 ± √5
19. 2 real solutions
17. x = 1 ± i√3
18. x = 4 ± √26
20. 2 imaginary solutions
21. x = 8 or 1
22. x = -3 or 6
24. x = 3 or -3
25. x = 3 or -5
26. 8 + 8i
27. -3 – 28i
29.
2i 30
30.
21
7
23.
9  i 15
12
28.
 27  8i
61
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