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5.3 – 5.5 Quiz Review
Name: __________________________________
Hour:_______
Algebra II
Factor the expression.
1. x 2 + 4x + 3
2. x 2 – 6x + 5
3. x 2 – 3x – 10
4. x 2 – 11x + 28
5. x 2 + 4x – 32
6. x 2 – 7x – 18
Solve the equation. (Remember to solve an equation it must = 0!)
7. x 2 – 15x + 44 = 0
8. x 2 – 2x – 15 = 0
9. x 2 – 7x – 4 = -10
10. x 2 + 27 = 12x
11. 9x – 8 = x 2
12.
x 2 + 10x + 9 = 0
Factor the expression. (Notice that a  1. That means you must check for GCF first, then use
the “box” method if needed!)
13. 3x 2 + 12x + 9
14. 2x 2 – 24x + 64
15. 6x 2 – x – 5
16. 5x 2 + x – 4
17. 9x 2 – 3x – 6
18. 6x 2 – 13x – 28
19. 3x2 + 14x – 5
20. 12x2 – 39x + 9
21. 20x2 – 54x + 36
22. 4x2 + 4x – 24
23. -12x2 – x + 11
24. 2x2 + 5x – 3
Solve the equation. (Remember to solve an equation it must = 0!)
25. 4x 2 – 7x + 3 = 0
26. 8x 2 – 20x – 12 = 0
27. 8x2 – 6x = -1
28. 9x2 + 11x + 18 = -10x + 8
29. x2 + 3x = 0
30. 2x2 – 4x = 16
Find the zeros of the function.
31. y = 3x 2 – 10x + 3
32. y = 2x 2 – 6x + 4
Factor the expression. (Hint: Use” Difference of Two Squares” pattern.)
33. x 2 – 36
34. –2x 2 + 32
35. 25p 2 – 144
36. 4x2 – 9
37. x2 – 16
38. 3x2 – 27
Solve the equation. (Remember to solve an equation it must = 0!)
39. 8w 2 = 50
40. –5x 2 + 125 = 0
Answers:
1. (x + 1)(x + 3)
2. (x – 5)(x – 1)
3. (x – 5)(x + 2)
4. (x – 7)(x – 4)
5. (x + 8)(x – 4)
6. (x – 9)(x + 2)
7. x = 4, 11
8. x = 5, -3
9. x = 6, 1
10. x = 9, 3
11. x = 8, 1
12. x = -9, -1
13. 3(x + 1)(x + 3)
14. 2(x – 8)(x – 4)
15. (6x + 5)(x – 1)
16. (5x – 4)(x + 1)
17. 3(3x + 2)(x – 1)
18. (2x – 7)(3x + 4)
19. (3x – 1)(x + 5)
20. 3(x – 3)(4x – 1)
21. 2(2x – 3)(5x – 6)
22. 4(x + 3)(x – 2)
23. (12x – 11)(x + 1)
24. (2x – 1)(x + 3)
25. x = ¾, 1
26. x = 3, -½
27. x = ½, ¼
28. x = -5/3, -2/3
29. x = 0, -3
30. x = 4, -2
31. x = 1/3. 3
32. x = 2, 1
33. (x + 6)(x – 6)
34. -2(x + 4)(x – 4)
35. (5p + 12)(5p – 12)
36. (2x – 3)(2x + 3)
37. (x + 4)(x – 4)
38. 3(x + 3)(x – 3)
39. w = 5/2, -5/2
40. x = 5, -5