Quiz Review
Distributive Property
and Factoring
Draw an area model to show the expanded form and write the expanded form below your figure. Please label the figure.
1. (x + 4) (x + 3)
2. (x + 6) (x + 2)
Expand the following:
3. (x + 4) (x + 2)
x2 + 6x + 8
4. (­x ­ 6) (x + 5)
­x2 ­ 11x ­ 30
Expand the following:
3. (x + 4) (x + 2)
x2 + 6x + 8
4. (­x ­ 6) (x + 5)
­x2 ­ 11x ­ 30
Expand the following:
5. (x ­ 5) (x ­ 3)
6. (x + 7) (x ­ 2)
x2 ­ 8x + 15
x2 + 5x ­ 14
Factor each of the following:
7. x2 ­ 5x x(x ­ 5)
8. x2 + 13x + 12 (x + 12) (x + 1)
Factor each of the following:
9. x2 ­ 9x + 18 (x ­ 6) (x ­ 3)
10. x2 ­ 14x + 24 (x ­ 12) (x ­ 2)
Solve each of the following: Show all work! Circle solution.
11. 5(x ­ 2) = 15
x = 5
12. ­ 4x + 8 = ­ 56
x = 16
Review
Enriched Portion
Distributive Property
and Factoring
Expand the following:
13. (x + 8) (x ­ 9)
x2 ­ x ­ 72
14. (3x + 3) (x + 4)
3x2 + 15x + 12
Expand the following:
15. (4x ­ 2) (2x + 3)
8x2 + 8x ­ 6
16. (x ­ 5) (2x ­ 3)
2x2 ­ 13x + 15
Factor each of the following completely:
17. x2 ­ 8x ­ 20 (x ­ 10)(x + 2)
18. x2 + 11x + 30 (x + 6) (x + 5)
Factor each of the following completely:
19. 2x2 + 7x + 6 20. 4x2 + 2x ­ 12 (2x ­ 3) (2x + 4) or
(2x + 3) (x + 2)
(4x ­ 6) (x + 2)