1.
Factor 54
x
3
y
2
A.
2 · 3
3
·
x
·
x
·
x
·
y
·
y
B.
2 · 27 ·
x
·
x
·
x
·
y
·
y
C.
2
3
· 3 ·
x
·
x
·
x
·
y
·
y
D.
2 · 3
3
·
x
·
x
·
y
·
y
·
y
Hint
2.
Find the GCF of 14
a
2
b
4
c
and 56
ab
2
c
2
A.
56
ab
2
c
B.
14
ab
2
c
C.
14
a
2
b
4
c
2
D.
56
a
2
b
2
c
2
Hint
3.
Factor 12
a
2
b
+ 30
ab
2
A.
ab
(12
a
+ 30
b
)
B.
6
ab
(6
a
+ 24
b
)
C.
6
ab
(2
a
+ 5
b
)
D.
6(2
a
2
b
+ 5
ab
2
)
Hint
4.
Factor 8
ac
+ 12
ad
+ 10
bc
+ 15
bd
.
A.
(2
c
+ 3
d
) + (4
a
+ 5
b
)
B.
(8
ac
+ 12
ad
) + (10
bc
+ 15
bd
)
C.
4
a
(2
c
+ 3
d
) + 5
b
(2
c
+ 3
d
)
D.
(2
c
+ 3
d
)(4
a
+ 5
b
)
Hint
5.
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
6.
Factor
x
2
– 4
x
– 32.
A.
(
x
+16)(
x
– 2)
B.
(
x
+ 8)(
x
– 4)
C.
(
x
– 8)(
x
+ 4)
D.
(
x
– 16)(
x
+ 2)
Hint
7.
Suppose the area of a square is
x
2
– 10
x
+ 25. What is the perimeter of the square?
A.
4
x
B.
4
x
– 20
C.
2
x
– 10
D.
2
x
Hint
8.
Factor 3
x
2
– 8
x
+ 3.
A.
(
x
– 1)(3
x
– 3)
B.
(3
x
– 5)(
x
– 1)
C.
not factorable
D.
(3
x
– 1)(
x
– 3)
Hint
9.
Solve 6
x
2
+ 3
x
– 12 = 2 – 2
x
.
A.
B.
{–1.61, 1.45}
C.
D.
{–1.77, 0.94}
Hint
10.
Solve 27
x
3
= 147
x
.
A.
B.
C.
D.
Hint
11.
Determine whether the trinomial 9
x
2
– 60
x
+ 25 is a perfect square trinomial. If so, factor it.
A.
(3
x
– 5)(3
x
– 5)
B.
It is prime.
C.
(3
x
– 5)(3
x
+ 5)
D.
(3
x
+ 5)(3
x
+ 5)
Hint
12.
Solve the equation
x
2
–
x
+
= 0.
A.
B.
C.
D.
Hint