1.
Factor -180
x
2
y
2
A.
-1 · 2
2
· 3
2
· 5 ·
x
·
x
·
y
·
y
B.
4 · 9 · 5 ·
x
·
x
·
y
·
y
C.
2
2
· 3
2
· 5 ·
x
·
x
·
y
·
y
D.
-1 · 2
2
· 9 · 5 ·
x
·
x
·
y
·
y
Hint
2.
Factor 12
a
2
b
+ 30
ab
2
A.
ab
(12
a
+ 30
b
)
B.
6(2
a
2
b
+ 5
ab
2
)
C.
6
ab
(2
a
+ 5
b
)
D.
6
ab
(6
a
+ 24
b
)
Hint
3.
Factor 2
x
2
+ 4
x
– 3.
A.
(2
x
– 3)(
x
+ 1)
B.
(2
x
+ 3)(
x
– 1)
C.
prime
D.
(2
x
– 1)(
x
+ 3)
Hint
4.
Factor 6
a
3
b
5
– 15
a
2
b
.
A.
3
a
3
b
(2
ab
2
- 5)
B.
3(2
a
3
b
5
- 5
a
2
b
)
C.
ab
(6
a
2
b
4
- 15
a
)
D.
3
a
2
b
(2
ab
4
- 5)
Hint
5.
Solve 4
y
2
– 25 = 0.
A.
B.
or
C.
D.
Hint
6.
Is 79 prime or composite? If it is composite, what is its factorization?
A.
prime
B.
composite, 13 × 6
C.
composite, 7 × 11
D.
composite, 3 × 23
Hint
7.
If the product of two factors is 0, which of the following cannot be true?
A.
Both of the factors are 0.
B.
Neither of the factors is 0.
C.
One of the factors is 10.
D.
One of the factors is 0.
Hint
8.
Factor
x
2
+ 6
x
– 7.
A.
(
x
+ 3)(
x
+ 3)
B.
(
x
+ 1)(
x
– 7)
C.
(
x
– 1)(
x
+ 7)
D.
(
x
– 3)(
x
– 3)
Hint
9.
What are two consecutive numbers whose product is 132?
A.
6 and 22
B.
11 and 12
C.
12 and 13
D.
10 and 11
Hint
10.
Factor 5
x
2
+ 13
x
– 6.
A.
not factorable
B.
(5
x
+ 2)(
x
– 3)
C.
(5
x
– 2)(
x
+ 3)
D.
(5
x
+ 3)(
x
– 2)
Hint
11.
Suppose that we have a 3 ft. × 3 ft. piece of paper, and we cut out a square piece so that the area of the remaining piece is 5 feet. What is the length of a side of the square?
A.
B.
2 ft.
C.
4 ft.
D.
Hint
12.
Solve the following: (
q
+ 2)
2
= 25.
A.
{–7, 3}
B.
{–3, 3}
C.
{–7}
D.
{3}
Hint