1.
Find the perimeter of triangle
ABC
.
A.
(4
w
+ 22) in.
B.
(8
w
+ 8) in.
C.
(8
w
+ 9) in.
D.
(4
w
+ 8) in.
Hint
2.
Find (
c
2
+ 2
c
- 6)(
c
+ 5).
A.
c
3
+ 2
c
2
- 30
B.
c
3
+ 7
c
2
+ 4
c
- 30
C.
c
3
+ 2
c
2
- 6
c
- 30
D.
c
3
+ 2
c
2
+ 5
Hint
3.
Find (3
x
+ 4)(5
x
2
– 4
x
+ 6).
A.
5
x
2
+
x
+ 10
B.
8
x
2
- 13
x
+ 24
C.
15
x
3
+ 32
x
2
+ 34
x
+ 24
D.
15
x
3
+ 8
x
2
+ 2
x
+ 24
Hint
4.
Find the GCF of 14
a
2
b
4
c
and 56
ab
2
c
2
A.
56
a
2
b
2
c
2
B.
14
a
2
b
4
c
2
C.
14
ab
2
c
D.
56
ab
2
c
Hint
5.
Factor 12
a
2
b
+ 30
ab
2
A.
6
ab
(2
a
+ 5
b
)
B.
6(2
a
2
b
+ 5
ab
2
)
C.
6
ab
(6
a
+ 24
b
)
D.
ab
(12
a
+ 30
b
)
Hint
6.
Factor 4
y
2
– 3
y
– 1.
A.
prime
B.
(4
y
+ 1)(
y
– 1)
C.
(2
y
+ 1)(2
y
– 1)
D.
(4
y
– 1)(
y
+ 1)
Hint
7.
Factor 6
y
2
+ 22
y
– 8.
A.
(6
y
– 1)(
y
+ 8)
B.
2(3
y
– 1)(
y
+ 4)
C.
(2
y
– 4)(3
y
+ 2)
D.
2(3
y
– 2)(
y
+ 2)
Hint
8.
Which of the following trinomials is a perfect square trinomial?
A.
r
2
- 6
r
+ 36
B.
9
a
2
- 12
a
+ 4
C.
4
y
2
+ 10
y
+ 25
D.
x
2
+ 16
x
+ 16
Hint
9.
Factor
x
2
– 8
x
+ 16.
A.
(
x
+ 4)
2
B.
(
x
+ 4)(
x
– 4)
C.
(
x
- 4)
2
D.
(
x
- 8)
2
Hint
10.
Factor
x
2
-
y
4
A.
(
x
+
y
)(
x
–
y
)
B.
(
x
-
y
2
)(
x
+
y
2
)
C.
(
x
-
y
2
)(
x
-
y
2
)
D.
(
x
+
y
2
)(
x
+
y
)(
x
–
y
)
Hint
11.
Determine whether the expression
x
+
y
+
z
is a monomial, binomial, or trinomial.
A.
Cannot be determined from given information.
B.
monomial
C.
binomial
D.
trinomial
Hint
12.
Multiply 4
x
2
(–
x
2
– 3
x
+ 2).
A.
–4
x
2
– 7
x
+ 8
B.
–4
x
2
– 12
x
+ 8
C.
–4
x
4
– 12
x
3
+ 8
x
2
D.
–4
x
4
– 7
x
3
+ 8
x
2
Hint
13.
A cafeteria has two meal plans. One requires the worker to pay $20 for the card, and $1 each time
x
she uses it. The other plan requires the worker to pay $30 for the card, but only $0.50 each time
x
she uses it. After how many uses will the workers with different plans have spent the same amount of money?
A.
5 uses
B.
10 uses
C.
20 uses
D.
It will never happen.
Hint
14.
Factor
x
2
– 4
x
– 32.
A.
(
x
– 16)(
x
+ 2)
B.
(
x
– 8)(
x
+ 4)
C.
(
x
+16)(
x
– 2)
D.
(
x
+ 8)(
x
– 4)
Hint
15.
Suppose the area of a square is
x
2
– 10
x
+ 25. What is the perimeter of the square?
A.
4
x
– 20
B.
4
x
C.
2
x
– 10
D.
2
x
Hint
16.
Factor
mn
- 2
m
- 4
n
+ 8.
A.
(
n
+ 2)(
m
- 4)
B.
(
n
+ 2)(
m
+ 4)
C.
(
n
- 2)(
m
+ 4)
D.
(
n
- 2)(
m
- 4)
Hint
17.
Factor 5
xyz
- 5
xyw
- 5
xmz
+ 5
xmw
.
A.
(
z
-
w
)(
xy
-
xm
)
B.
(
z
+
w
)(5
xy
+ 5
xm
)
C.
(
z
-
w
)(5
xy
- 5
xm
)
D.
(5
z
-
w
)(
xy
+
xm
)
Hint
18.
What is the coefficient of the second term in the polynomial expansion for (
a
+
b
)
4
?
A.
3
B.
5
C.
2
D.
4
Hint