1.
Factor -180
x
2
y
2
A.
-1 · 2
2
· 3
2
· 5 ·
x
·
x
·
y
·
y
B.
-1 · 2
2
· 9 · 5 ·
x
·
x
·
y
·
y
C.
2
2
· 3
2
· 5 ·
x
·
x
·
y
·
y
D.
4 · 9 · 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
a
2
b
4
c
2
B.
56
a
2
b
2
c
2
C.
56
ab
2
c
D.
14
ab
2
c
Hint
3.
Factor 20
a
4
b
2
- 15
ab
+ 30
a
2
b
A.
a
2
b
(20
a
2
b
- 15 + 30
a
)
B.
5
ab
(4
a
3
b
- 3 + 6
a
)
C.
5
a
2
b
(15
a
2
b
- 10 + 25
a
)
D.
5(4
a
4
b
2
- 3
ab
+ 10
a
2
b
)
Hint
4.
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
(
y
– 2) + 3(
y
– 2)
C.
(
xy
– 2
x
)( 3
y
– 6)
D.
(
x
+ 3)(
y
– 2)
Hint
5.
Factor 6
y
2
+ 22
y
– 8.
A.
(2
y
– 4)(3
y
+ 2)
B.
(6
y
– 1)(
y
+ 8)
C.
2(3
y
– 1)(
y
+ 4)
D.
2(3
y
– 2)(
y
+ 2)
Hint
6.
Factor 4
y
2
– 9.
A.
(2
y
+ 3)(2
y
+ 3)
B.
(2
y
+ 3)(2
y
– 3)
C.
(2
y
– 3)(2
y
– 3)
D.
prime
Hint
7.
Factor
A.
B.
C.
prime
D.
Hint
8.
Which of the following trinomials is a perfect square trinomial?
A.
r
2
- 6
r
+ 36
B.
4
y
2
+ 10
y
+ 25
C.
x
2
+ 16
x
+ 16
D.
9
a
2
- 12
a
+ 4
Hint
9.
Solve
x
2
–
x
– 72 = 0.
A.
x
= 9
B.
x
= 8 or
x
= -9
C.
x
= -8
D.
x
= -8 or
x
= 9
Hint
10.
Solve 3
x
2
+ 5 = 8
x
.
A.
x
= 0
B.
x
= 5 or
x
= 1
C.
or
x
= 1
D.
x
= 1
Hint
11.
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 = 15 ft
width = 18 ft
B.
length = 24 ft
width = 30 ft
C.
length = 18 ft
wideth = 15ft
D.
length = 30 ft
width = 24ft
Hint
12.
Factor 81
x
2
– 225.
A.
9(3
x
– 5)(3
x
+ 5)
B.
9(9
x
– 5)(9
x
+ 5)
C.
9(9
x
– 25)(9
x
+ 25)
D.
It is prime.
Hint