Which integer is a prime factor of 20? [removed] 8 [removed] 2 [removed] 4 [removed] 10 9. Find the prime factorization of 56. [removed] 2 • 7 • 8 [removed] 1 • 2 • 2 • 2 • 8 [removed] 2 • 2 • 2 • 7 [removed] 1 • 56 Part 2 Select the best answer from the choices provided. (Each question is worth one point) 10. Find the GCF of 28 and 56. [removed] 16 [removed] 28 [removed] 6 [removed] 12 11. Find the GCF of 68 and 104. [removed] 68 [removed] 24 [removed] 22 [removed] 4 12. Factor 2 a 4 b 3  without using exponents. [removed] 2  • a • a • a • a • b • b • b [removed] a • a • a • b [removed] 3 a  • 4 b [removed] 243 ab 13. Factor -45 without using exponents. [removed] -1 • 3 • 5 [removed] -1 • 3 • 3 • 5 [removed] -1 • 3 • 15 [removed] 3 • 3 • 5 14. Factor -54( a 3 b ) 2  without using exponents. [removed] -1 • 2 • 3 • 3 • 3 •  a • a • a • b • b [removed] a • a • a • a • b • b [removed] -1 • 2 • 3 • 3 • 3 •  a • a • a • a [removed] -1 • 2 • 3 • 3 • 3 •  a • a • a • a • a • a • b • b 15. Find the GCF of -25 a 3 b 4 , 45 a 6 b 5 . [removed] 5 a 2 b 3 [removed] 25 a 3 b 4 [removed] 5 a 3 b 4 [removed] 5 ab 16. Find the GCF of 10 ab 5 , 12 a 3 b 4 , 16 a 2 b 3 . [removed] 2 ab [removed] 2 ab 2 [removed] ab 3 [removed] 2 ab 3 17. Find the GCF of 25 a 3 b 4 , 45 a 6 b 5 , 50 ab . [removed] 5 abc [removed] 5 ab [removed] 25 ab [removed] 5 ab 5 18. Simplify 8( a  + 2) [removed] 8 a  + 10 [removed] a  + 8 [removed] 8 a  + 16 [removed] 8 +  a  + 16 Part 3 Select the best answer from the choices provided. (Each question is worth one point) 19. Divide (6 a 3  - 19 a 2  + 15 a ) by (2 a  - 3) [removed] 3 a 2  - 5 a [removed] 2 a 2  - 5 [removed] 3 a  - 5 [removed] 3 a 2  + 5 20. Factor 12 a 4  + 16 a 6  using the distributive property. [removed] 4 a 4 (3 + 4 a ) [removed] 4 a 2 (3 + 4 a 2 ) [removed] 4 a 4 (3 + 4 a 2 ) [removed] 4 a 4 (3 a  + 4 a 2 ) 21. Factor 21 bc 2  – 35 c 8  using the distributive property. [removed] 7 c 2 (3 b  – 5 c 8 ) [removed] 7 c 2 (3 b  – 5 c 6 ) [removed] 7 c 2 (3 – 5 c 8 ) [removed] 7 c 2 (3 b  + 5 c 8 ) 22. Factor 6 x 2 y  + 4 xy 2  + 3 x  + 2 y  by grouping. [removed] (3 x 2  + 2 y )(2 x  + 1) [removed] (3 x  + 2 y 2 )(2 xy  + 1) [removed] (3 x  + 2 y )(2 xy  + 1) [removed] (3 x  + 2 y )(2 y  + 1) .

1. Which integer is a prime factor of 20?
[removed]
8
[removed]
2
[removed]
4
[removed]
10
9.
Find the prime factorization of 56.
[removed]
2 • 7 • 8
[removed]
1 • 2 • 2 • 2 • 8
[removed]
2 • 2 • 2 • 7
[removed]
1 • 56
Part 2
Select the best answer from the choices provided. (Each
question is worth one point)
10.
Find the GCF of 28 and 56.
[removed]
16
[removed]
28
[removed]
6
[removed]
12
11.

2. Find the GCF of 68 and 104.
[removed]
68
[removed]
24
[removed]
22
[removed]
4
12.
Factor 2
a
4
b
3
without using exponents.
[removed]
2
• a • a • a • a • b • b • b
[removed]
a • a • a • b
[removed]
3
a
• 4
b
[removed]
243
ab
13.
Factor -45 without using exponents.
[removed]
-1 • 3 • 5
[removed]
-1 • 3 • 3 • 5
[removed]

3. -1 • 3 • 15
[removed]
3 • 3 • 5
14.
Factor -54(
a
3
b
)
2
without using exponents.
[removed]
-1 • 2 • 3 • 3 • 3 •
a • a • a • b • b
[removed]
a • a • a • a • b • b
[removed]
-1 • 2 • 3 • 3 • 3 •
a • a • a • a
[removed]
-1 • 2 • 3 • 3 • 3 •
a • a • a • a • a • a • b • b
15.
Find the GCF of -25
a
3
b
4
, 45
a
6
b
5
.
[removed]
5

4. a
2
b
3
[removed]
25
a
3
b
4
[removed]
5
a
3
b
4
[removed]
5
ab
16.
Find the GCF of 10
ab
5
, 12
a
3
b
4
, 16
a
2
b
3
.
[removed]
2

5. ab
[removed]
2
ab
2
[removed]
ab
3
[removed]
2
ab
3
17.
Find the GCF of 25
a
3
b
4
, 45
a
6
b
5
, 50
ab
.
[removed]
5
abc
[removed]
5
ab
[removed]
25
ab
[removed]

6. 5
ab
5
18.
Simplify 8(
a
+ 2)
[removed]
8
a
+ 10
[removed]
a
+ 8
[removed]
8
a
+ 16
[removed]
8 +
a
+ 16
Part 3
Select the best answer from the choices provided. (Each
question is worth one point)
19.
Divide (6
a
3
- 19
a
2
+ 15
a
) by (2
a

7. - 3)
[removed]
3
a
2
- 5
a
[removed]
2
a
2
- 5
[removed]
3
a
- 5
[removed]
3
a
2
+ 5
20.
Factor 12
a
4
+ 16
a
6
using the distributive property.
[removed]
4
a
4
(3 + 4
a
)

8. [removed]
4
a
2
(3 + 4
a
2
)
[removed]
4
a
4
(3 + 4
a
2
)
[removed]
4
a
4
(3
a
+ 4
a
2
)
21.
Factor 21
bc
2
– 35
c
8
using the distributive property.
[removed]
7

9. c
2
(3
b
– 5
c
8
)
[removed]
7
c
2
(3
b
– 5
c
6
)
[removed]
7
c
2
(3 – 5
c
8
)
[removed]
7
c
2
(3
b
+ 5
c
8
)

10. 22.
Factor 6
x
2
y
+ 4
xy
2
+ 3
x
+ 2
y
by grouping.
[removed]
(3
x
2
+ 2
y
)(2
x
+ 1)
[removed]
(3
x
+ 2
y
2
)(2
xy
+ 1)
[removed]
(3
x
+ 2
y

11. )(2
xy
+ 1)
[removed]
(3
x
+ 2
y
)(2
y
+ 1)