1.
Factor -180
x
2
y
2
A.
2
2
· 3
2
· 5 ·
x
·
x
·
y
·
y
B.
-1 · 2
2
· 9 · 5 ·
x
·
x
·
y
·
y
C.
4 · 9 · 5 ·
x
·
x
·
y
·
y
D.
-1 · 2
2
· 3
2
· 5 ·
x
·
x
·
y
·
y
Hint
2.
Find the GCF of 14
a
2
b
4
c
and 56
ab
2
c
2
A.
14
ab
2
c
B.
14
a
2
b
4
c
2
C.
56
a
2
b
2
c
2
D.
56
ab
2
c
Hint
3.
An expression for the area of a rectangle is
xy
– 2
x
+ 3
y
– 6. Express this area in factored form.
A.
(
x
– 2)(
y
+ 3)
B.
(
x
+ 3)(
y
– 2)
C.
(
xy
– 2
x
)( 3
y
– 6)
D.
x
(
y
– 2) + 3(
y
– 2)
Hint
4.
Factor 4
y
2
– 3
y
– 1.
A.
(2
y
+ 1)(2
y
– 1)
B.
(4
y
+ 1)(
y
– 1)
C.
(4
y
– 1)(
y
+ 1)
D.
prime
Hint
5.
Factor 10
x
2
+ 24
x
+ 8.
A.
(2
x
+ 4)(5
x
+ 2)
B.
2(
x
+ 4)(5
x
+ 1)
C.
(
x
+ 2)(5
x
+ 2)
D.
2(
x
+ 2)(5
x
+ 2)
Hint
6.
Solve 3
x
2
+ 5 = 8
x
.
A.
x
= 0
B.
x
= 5 or
x
= 1
C.
or
x
= 1
D.
x
= 1
Hint
7.
If the product of two factors is 0, which of the following cannot be true?
A.
Neither of the factors is 0.
B.
One of the factors is 10.
C.
Both of the factors are 0.
D.
One of the factors is 0.
Hint
8.
Joanne has a garden that is 9 feet long by 6 feet wide. She wants to increase the dimensions of the garden by the same amount, and have the area of the new garden be 5 times the area of the present garden. What should the new dimensions be?
A.
length = 24 ft
width = 30 ft
B.
length = 18 ft
wideth = 15ft
C.
length = 30 ft
width = 24ft
D.
length = 15 ft
width = 18 ft
Hint
9.
What are two consecutive numbers whose product is 132?
A.
6 and 22
B.
11 and 12
C.
10 and 11
D.
12 and 13
Hint
10.
Factor 16
b
4
– 36
b
2
.
A.
2
b
2
(2
b
– 3)(2
b
+ 3)
B.
2
b
2
(4
b
– 3)(4
b
+ 3)
C.
4
b
2
(2
b
– 3)(2
b
+ 3)
D.
4
b
2
(4
b
– 3)(4
b
+ 3)
Hint
11.
Factor 3
x
3
+ 3
x
2
– 12
x
– 12.
A.
3(
x
– 2)(
x
– 2)(
x
+ 1)
B.
(
x
– 2)(
x
+ 2)(
x
+ 1)
C.
(
x
– 2)(
x
– 2)(
x
+ 1)
D.
3(
x
– 2)(
x
+ 2)(
x
+ 1)
Hint
12.
Solve the following:
y
2
+ 6
y
+ 9 = 49.
A.
{–10, 4}
B.
{7}
C.
{10, –4}
D.
{7, –7}
Hint