Math 9 Chapter 5. Practice Test.
Name:
Date:
Score: _______
Part I.
For the Multiple choice, CIRCLE THE CORRECT ANSWER. For the
other answers show your work.
1. What is the fully factored form of 45 ?
2. What is the fully factored form of 72 ?
3. What is the fully factored form of 12x2y4
4. What is the GCF of 12 and 16.
5. What is the GCF of 12xy 2
and 14x 3 y 3
6. What is the factored form of
7. What is a factor of
a) (x + 6)
b) (x
2xy 3yz ?
x 2 5x 6 ?
6)
c) (x
2)
d)(x + 2)
8. What is the factored form of 4d 2 24d 24 4d ?
9. What does a(a 3) 2(3a b) equal after it has been expanded and simplified?
a) a
9a 2b
b) a
3a 6a 2b
10. What is the simplified form of
c) 3a 2
6ab
d) a 2
6t 2u
?
3tu
11 Expand and simplify. ( x 3)(x 2)
12. Expand and simplify. (x 3)(3x 2)
2
13. Factor x 11x 10
2
14. Factor x 3x 4
2
15. Simplify 3x 6x 3 by removing the GCF and then factoring.
3a 2b
2
16. Simplify x 6x 25 2x 20 by combining like terms and then factoring.
17. Which of the following is a difference of squares?
a) (x 9)(x 5)2
18. Factor x
2
2
b) (x 9)
c) (x 9)(x 9)
16
2
19. Factor x 8x 16
2
20. Expand and simplify. (x 9)
2
21. Expand and simplify. (x 2)(x 4x 3)
2
22. Expand and simplify. (7x 10x 15)(x 2)
23. What are the restrictions on
x
2
x 4
?
3
2
d) x 6x 9
25. Simplify.
(x 2) (x 3)
3
5
Sec II. Short Answers
Show all your work.
2 3
3 2
1. Fully factor 24x y ,and 36x y and then find the greatest common Factor.
/3
2. Simplify, remove the GCF if possible and then factor fully. Show your work
x 2 4x x 2 10 6x 18
/3