1.
Simplify 6
g
(-3
h
- 4).
A.
-18
g
- 4
B.
6
g
h
- 4
C.
-18
g
h
- 24
g
D.
-18
g
h
- 4
Hint
2.
Find (3
a
- 1)(5
a
+ 6).
A.
15
a
2
- 5
a
- 6
B.
15
a
2
+ 13
a
- 6
C.
15
a
2
+ 13
a
+ 6
D.
15
a
+ 13
a
-6
Hint
3.
Factor 6
x
3
y
+ 15
x
2
y
2
- 3
x
4
y
.
A.
x
y
(6
x
2
+ 15
x
y
- 3
x
3
)
B.
3
x
y
(2
x
2
+ 5
x
y
-
x
3
)
C.
3
x
2
y
(2
x
+ 5
y
-
x
2
)
D.
x
2
y
(6
x
+ 15
y
- 3
x
2
)
Hint
4.
Factor 2
r
3
+ 8
r
2
- 10
r
completely.
A.
(2
r
- 1)(
r
+ 5)
B.
2
r
(
r
2
+ 4
r
- 5)
C.
2(
r
3
+ 4
r
2
- 5
r
)
D.
2
r
(
r
- 1)(
r
+ 5)
Hint
5.
Factor
m
3
- 4
m
2
+ 6
m
- 24.
A.
m
(
m
2
- 4
m
+ 6) - 24
B.
(
m
+ 4)(
m
2
- 6)
C.
m
2
(
m
- 4) + 6
m
- 24
D.
(
m
- 4)(
m
2
+ 6)
Hint
6.
Find the difference (-3
x
3
– 7
x
2
+ 5
x
– 4) – (6
x
2
– 8).
A.
-11
x
8
+ 4
B.
–3
x
3
– 13
x
2
+ 5
x
- 12
C.
–3
x
3
– 13
x
2
+ 5
x
+ 4
D.
–3
x
3
–
x
2
+ 5
x
- 12
Hint
7.
Find (3
x
+ 4)(5
x
2
– 4
x
+ 6).
A.
8
x
2
- 13
x
+ 24
B.
15
x
3
+ 32
x
2
+ 34
x
+ 24
C.
5
x
2
+
x
+ 10
D.
15
x
3
+ 8
x
2
+ 2
x
+ 24
Hint
8.
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
9.
Factor 3
y
2
+ 7
y
+ 4.
A.
(3
y
+ 1)(
y
+ 7)
B.
(3
y
+ 4)(
y
+ 1)
C.
(3
y
+ 2)(
y
+ 2)
D.
(3
y
+ 1)(
y
+ 4)
Hint
10.
Factor 7
xy
2
- 28
x
3
A.
7
x
2
y
2
(1 +
x
)
B.
7
x
(
y
+ 2
x
)(
y
- 2
x
)
C.
prime
D.
(7
xy
+
x
)(
y
– 28
x
2
)
Hint
11.
Determine whether the expression 5
x
3
y
3
–
x
2
y
2
is a polynomial.
A.
Cannot be determined from given information.
B.
Yes.
C.
No, because there are two variables.
D.
No, because there are two terms.
Hint
12.
Factor 3
ty
3
– 48
ty
.
A.
B.
C.
D.
3
ty
(
y
+ 4)(
y
– 4)
Hint
13.
A worker has a cafeteria meal plan. The plan requires her to pay $20 for the card, and $1 each time
x
she uses it. If the company sells 100 cards, what is its total revenue?
A.
2100
B.
2000 + 100
x
C.
2000
D.
100
x
Hint
14.
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
15.
Factor 4
m
2
+ 2
mp
+ 2
mn
+
np
.
A.
(2
m
+
p
)(2
m
+
n
)
B.
(
m
+ 2
p
)(
m
- 2
n
)
C.
(
m
- 2
p
)(
m
+ 2
n
)
D.
(4
m
+ p
p
)(
m
+
n
)
Hint
16.
Factor
x
2
+ 8
x
+ 12.
A.
(
x
+ 6)(
x
+ 2)
B.
(
x
+ 3)(
x
+ 4)
C.
(
x
- 6)(
x
- 2)
D.
(
x
- 3)(
x
- 4)
Hint
17.
What is the coefficient of the third term in the polynomial expansion for (
a
+
b
)
5
?
A.
4
B.
6
C.
5
D.
10
Hint
18.
Factor 6
x
2
- 5
x
- 21.
A.
(2
x
+ 3)(3
x
- 7)
B.
(2
x
- 3)(3
x
- 7)
C.
(
x
- 3)(6
x
+ 7)
D.
(6
x
+ 3)(
x
+ 7)
Hint