1.
Find the perimeter of triangle
ABC
.
A.
(4
w
+ 8) in.
B.
(4
w
+ 22) in.
C.
(8
w
+ 8) in.
D.
(8
w
+ 9) in.
Hint
2.
Simplify (4
r
-
s
) - (
r
+ 2
s
) + (3
r
-
s
).
A.
3
r
- 2
s
B.
6
r
- 3
s
C.
8
r
D.
6
r
- 4
s
Hint
3.
Simplify 6
g
(-3
h
- 4).
A.
6
g
h
- 4
B.
-18
g
- 4
C.
-18
g
h
- 4
D.
-18
g
h
- 24
g
Hint
4.
Find (3
a
- 1)(5
a
+ 6).
A.
15
a
2
+ 13
a
+ 6
B.
15
a
2
+ 13
a
- 6
C.
15
a
2
- 5
a
- 6
D.
15
a
+ 13
a
-6
Hint
5.
Find the GCF of 54
a
2
, 84
ab
, and 10
c
A.
2
B.
8
ab
C.
2
abc
D.
4
Hint
6.
Factor 12
a
2
b
+ 30
ab
2
A.
ab
(12
a
+ 30
b
)
B.
6
ab
(6
a
+ 24
b
)
C.
6(2
a
2
b
+ 5
ab
2
)
D.
6
ab
(2
a
+ 5
b
)
Hint
7.
Factor
xy
– 6 + 2
y
– 3
x
.
A.
(
x
+ 2)(
y
– 3)
B.
(
x
– 2)(
y
– 3)
C.
(
xy
– 3
x
) + (2
y
– 6)
D.
x(y
– 3) + 2(
y
– 3)
Hint
8.
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.
(7
xy
+
x
)(
y
– 28
x
2
)
D.
prime
Hint
9.
Factor 4
x
2
– 49.
A.
(2
x
+ 7)(2
x
– 7)
B.
C.
D.
Hint
10.
Factor 4
x
2
– 5
x
– 6.
A.
B.
C.
D.
(4
x
+ 3)(
x
– 2)
Hint
11.
Simplify 5(2
k
2
– 3
k
) – 6
k
(–
k
2
+
k
– 7).
A.
–6
k
3
+ 4
k
2
– 5
k
B.
–6
k
3
+ 4
k
2
+ 27
k
C.
6
k
3
+ 4
k
2
+ 27
k
D.
6
k
3
+ 4
k
2
– 5
k
Hint
12.
Find the area of a triangle with base 2
x
+ 3 and height 3
x
– 1.
A.
5
x
2
+ 7
x
– 3
B.
6
x
2
+ 7
x
– 3
C.
3
x
2
+
x
D.
x
2
+
x
– 3
Hint
13.
Factor 4
x
2
– 14
x
– 8.
A.
(2
x
+ 1)(
x
– 4)
B.
2(2
x
+ 1)(
x
– 4)
C.
2(2
x
+ 1)(
x
– 2)
D.
(2
x
+ 1)(
x
– 2)
Hint
14.
Factor 4
m
2
+ 2
mp
+ 2
mn
+
np
.
A.
(4
m
+ p
p
)(
m
+
n
)
B.
(2
m
+
p
)(2
m
+
n
)
C.
(
m
+ 2
p
)(
m
- 2
n
)
D.
(
m
- 2
p
)(
m
+ 2
n
)
Hint
15.
Factor
x
2
- 2
x
- 8.
A.
(
x
+ 2)(
x
- 4)
B.
(
x
- 2)(
x
+ 4)
C.
(
x
+ 8)(
x
+ 1)
D.
(
x
- 8)(
x
+ 1)
Hint
16.
Factor
x
2
+
x
- 20.
A.
(
x
- 5)(
x
+ 4)
B.
(
x
+ 5)(
x
+ 4)
C.
(
x
+ 5)(
x
- 4)
D.
(
x
+ 2)(
x
+ 10)
Hint
17.
What is the coefficient of the third term in the polynomial expansion for (
a
+
b
)
4
?
A.
5
B.
4
C.
6
D.
10
Hint
18.
What is the coefficient of the second term in the polynomial expansion for (
a
+
b
)
4
?
A.
2
B.
4
C.
5
D.
3
Hint