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.
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(4
a
4
b
2
- 3
ab
+ 10
a
2
b
)
C.
5
ab
(4
a
3
b
- 3 + 6
a
)
D.
5
a
2
b
(15
a
2
b
- 10 + 25
a
)
Hint
3.
Factor 3
y
2
+ 7
y
+ 4.
A.
(3
y
+ 4)(
y
+ 1)
B.
(3
y
+ 1)(
y
+ 7)
C.
(3
y
+ 1)(
y
+ 4)
D.
(3
y
+ 2)(
y
+ 2)
Hint
4.
Solve 5
x
2
– 10
x
= 0.
A.
x
= 2
B.
x
= 0 or
x
= -2
C.
x
= 0 or
x
= 2
D.
x
= 0
Hint
5.
Solve
a
2
– 12
a
= -27.
A.
a
= 3
B.
a
= -27 or
a
= -15
C.
a
= 3 or
a
= 9
D.
a
= 9
Hint
6.
Solve 3
x
2
+ 5 = 8
x
.
A.
x
= 0
B.
x
= 1
C.
or
x
= 1
D.
x
= 5 or
x
= 1
Hint
7.
Find the prime factorization of -198.
A.
–1 · 2 · 3
2
· 11
B.
2 · 3
2
· 10
C.
–1 · 2 · 3
2
· 10
D.
2 · 3
2
· 11
Hint
8.
Suppose the area of a square is
x
2
– 10
x
+ 25. What is the perimeter of the square?
A.
2
x
B.
4
x
C.
4
x
– 20
D.
2
x
– 10
Hint
9.
Factor 16
b
4
– 36
b
2
.
A.
2
b
2
(4
b
– 3)(4
b
+ 3)
B.
4
b
2
(4
b
– 3)(4
b
+ 3)
C.
4
b
2
(2
b
– 3)(2
b
+ 3)
D.
2
b
2
(2
b
– 3)(2
b
+ 3)
Hint
10.
Solve 27
x
3
= 147
x
.
A.
B.
C.
D.
Hint
11.
Solve the equation
x
2
–
x
+
= 0.
A.
B.
C.
D.
Hint
12.
Solve the following:
y
2
+ 6
y
+ 9 = 49.
A.
{–10, 4}
B.
{10, –4}
C.
{7, –7}
D.
{7}
Hint