1.
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
2.
Find the GCF of 54
a
2
, 84
ab
, and 10
c
A.
4
B.
8
ab
C.
2
D.
2
abc
Hint
3.
Factor 8
ac
+ 12
ad
+ 10
bc
+ 15
bd
.
A.
(2
c
+ 3
d
) + (4
a
+ 5
b
)
B.
(2
c
+ 3
d
)(4
a
+ 5
b
)
C.
(8
ac
+ 12
ad
) + (10
bc
+ 15
bd
)
D.
4
a
(2
c
+ 3
d
) + 5
b
(2
c
+ 3
d
)
Hint
4.
Factor
xy
– 6 + 2
y
– 3
x
.
A.
(
x
– 2)(
y
– 3)
B.
(
xy
– 3
x
) + (2
y
– 6)
C.
x(y
– 3) + 2(
y
– 3)
D.
(
x
+ 2)(
y
– 3)
Hint
5.
Factor
x
2
+ 5
x
+ 6.
A.
(
x
+ 2)(
x
+ 3)
B.
(
x
+ 1)(
x
+ 6)
C.
(
x
+ 1)(
x
+ 5)
D.
prime
Hint
6.
Factor 2
x
2
+ 4
x
– 3.
A.
(2
x
+ 3)(
x
– 1)
B.
(2
x
– 1)(
x
+ 3)
C.
prime
D.
(2
x
– 3)(
x
+ 1)
Hint
7.
Factor
r
4
– 81.
A.
(
r
2
+ 9)(
r
+ 3)(
r
- 3)
B.
(
r
+ 3)
2
(
r
+ 3)
2
C.
(
r
2
+ 9)(
r
2
+ 9)
D.
prime
Hint
8.
Suppose the area of a square is
x
2
– 10
x
+ 25. What is the perimeter of the square?
A.
4
x
– 20
B.
2
x
– 10
C.
2
x
D.
4
x
Hint
9.
Solve –3
x
2
+ 5
x
+ 12 = 0.
A.
B.
C.
D.
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.
{7, –7}
B.
{–10, 4}
C.
{7}
D.
{10, –4}
Hint