1.
Simplify (4
r
-
s
) - (
r
+ 2
s
) + (3
r
-
s
).
A.
6
r
- 4
s
B.
6
r
- 3
s
C.
3
r
- 2
s
D.
8
r
Hint
2.
Find the area of the parallelogram.
A.
(36
a
2
- 49
b
2
) cm
2
B.
(12
a
2
+ 14
b
2
) cm
2
C.
(36
a
2
- 84
a
b
- 49
b
2
) cm
2
D.
(36
a
2
+ 49
b
2
) cm
2
Hint
3.
Factor 2
r
3
+ 8
r
2
- 10
r
completely.
A.
2
r
(
r
- 1)(
r
+ 5)
B.
2
r
(
r
2
+ 4
r
- 5)
C.
2(
r
3
+ 4
r
2
- 5
r
)
D.
(2
r
- 1)(
r
+ 5)
Hint
4.
Find (4
x
2
+ 3
x
) + (7
x
2
– 5
x
– 6).
A.
11
x
2
– 2
x
– 6
B.
11
x
2
– 8
x
– 6
C.
9
x
– 6
D.
11
x
4
– 2
x
2
– 6
Hint
5.
Write an expression for the area of the rectangle shown below.
A.
6
xy
2
+ 7
x
3
y
B.
6
xy
2
+ 4
x
3
y
C.
9
x
2
y
4
+ 12
x
4
y
3
D.
12
xy
2
+ 4
x
3
y
Hint
6.
Find (4
y
- 5)(3
y
- 7).
A.
12
y
2
+ 35
B.
12
y
2
– 13
y
+ 35
C.
12
y
2
– 43
y
+ 35
D.
12
y
2
– 43
y
- 35
Hint
7.
Factor 8
ac
+ 12
ad
+ 10
bc
+ 15
bd
.
A.
4
a
(2
c
+ 3
d
) + 5
b
(2
c
+ 3
d
)
B.
(8
ac
+ 12
ad
) + (10
bc
+ 15
bd
)
C.
(2
c
+ 3
d
)(4
a
+ 5
b
)
D.
(2
c
+ 3
d
) + (4
a
+ 5
b
)
Hint
8.
An expression for the area of a rectangle is
xy
– 2
x
+ 3
y
– 6. Express this area in factored form.
A.
(
x
+ 3)(
y
– 2)
B.
x
(
y
– 2) + 3(
y
– 2)
C.
(
x
– 2)(
y
+ 3)
D.
(
xy
– 2
x
)( 3
y
– 6)
Hint
9.
Factor
r
4
– 81.
A.
(
r
2
+ 9)(
r
2
+ 9)
B.
prime
C.
(
r
2
+ 9)(
r
+ 3)(
r
- 3)
D.
(
r
+ 3)
2
(
r
+ 3)
2
Hint
10.
Simplify
A.
B.
C.
D.
Hint
11.
Factor 3
ty
3
– 48
ty
.
A.
B.
C.
3
ty
(
y
+ 4)(
y
– 4)
D.
Hint
12.
What is the GCF of
A.
p
2
B.
3
n
C.
np
D.
n
Hint
13.
Suppose the area of a square is
x
2
– 10
x
+ 25. What is the perimeter of the square?
A.
2
x
– 10
B.
4
x
C.
4
x
– 20
D.
2
x
Hint
14.
Factor 4
x
2
– 14
x
– 8.
A.
2(2
x
+ 1)(
x
– 4)
B.
2(2
x
+ 1)(
x
– 2)
C.
(2
x
+ 1)(
x
– 2)
D.
(2
x
+ 1)(
x
– 4)
Hint
15.
Factor 3
x
2
– 8
x
+ 3.
A.
(
x
– 1)(3
x
– 3)
B.
(3
x
– 5)(
x
– 1)
C.
(3
x
– 1)(
x
– 3)
D.
not factorable
Hint
16.
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
17.
Simplify
A.
B.
C.
D.
Hint
18.
What is the coefficient of the last term in the polynomial expansion for (
a
+
b
)
5
?
A.
6
B.
5
C.
10
D.
1
Hint