1.
Find (3
x
+ 4)(5
x
2
– 4
x
+ 6).
A.
15
x
3
+ 32
x
2
+ 34
x
+ 24
B.
15
x
3
+ 8
x
2
+ 2
x
+ 24
C.
8
x
2
- 13
x
+ 24
D.
5
x
2
+
x
+ 10
Hint
2.
Find the GCF of 24, 36, and 108.
A.
12
B.
72
C.
24
D.
6
Hint
3.
Factor 12
a
2
b
+ 30
ab
2
A.
ab
(12
a
+ 30
b
)
B.
6(2
a
2
b
+ 5
ab
2
)
C.
6
ab
(6
a
+ 24
b
)
D.
6
ab
(2
a
+ 5
b
)
Hint
4.
Factor
x
2
+ 5
x
+ 6.
A.
(
x
+ 1)(
x
+ 5)
B.
(
x
+ 1)(
x
+ 6)
C.
(
x
+ 2)(
x
+ 3)
D.
prime
Hint
5.
Factor 7
xy
2
- 28
x
3
A.
7
x
(
y
+ 2
x
)(
y
- 2
x
)
B.
prime
C.
7
x
2
y
2
(1 +
x
)
D.
(7
xy
+
x
)(
y
– 28
x
2
)
Hint
6.
Factor
A.
prime
B.
C.
D.
Hint
7.
Solve 3
x
2
+ 5 = 8
x
.
A.
x
= 1
B.
or
x
= 1
C.
x
= 5 or
x
= 1
D.
x
= 0
Hint
8.
Use the Distributive Property to simplify 7(6
x
2
+ 5
x
+ 4).
A.
42
x
2
+ 5
x
+ 4
B.
42
x
2
+ 35
x
+ 28
C.
42
x
2
+35
x
+ 21
D.
42
x
2
+ 35
x
+ 4
Hint
9.
Is 57 prime or composite? If it is composite, what is its factorization?
A.
composite, 2 × 29
B.
composite, 3 × 17
C.
prime
D.
composite, 3 × 19
Hint
10.
If the product of two factors is 0, which of the following cannot be true?
A.
Both of the factors are 0.
B.
One of the factors is 10.
C.
Neither of the factors is 0.
D.
One of the factors is 0.
Hint
11.
Factor
x
2
– 7
x
+ 12.
A.
(
x
– 6)(
x
– 2)
B.
(
x
– 3)(
x
– 4)
C.
(
x
+ 6)(
x
+ 2)
D.
(
x
+ 3)(
x
+ 4)
Hint
12.
Factor 5
x
2
+ 13
x
– 6.
A.
not factorable
B.
(5
x
+ 3)(
x
– 2)
C.
(5
x
+ 2)(
x
– 3)
D.
(5
x
– 2)(
x
+ 3)
Hint
13.
Solve the equation
x
2
–
x
+
= 0.
A.
B.
C.
D.
Hint
14.
Solve the following: (
q
+ 2)
2
= 25.
A.
{–7, 3}
B.
{–7}
C.
{3}
D.
{–3, 3}
Hint