1.
Find the area of the parallelogram.
A.
(36
a
2
- 84
a
b
- 49
b
2
) cm
2
B.
(36
a
2
- 49
b
2
) cm
2
C.
(36
a
2
+ 49
b
2
) cm
2
D.
(12
a
2
+ 14
b
2
) cm
2
Hint
2.
Factor 6
x
3
y
+ 15
x
2
y
2
- 3
x
4
y
.
A.
3
x
y
(2
x
2
+ 5
x
y
-
x
3
)
B.
x
2
y
(6
x
+ 15
y
- 3
x
2
)
C.
x
y
(6
x
2
+ 15
x
y
- 3
x
3
)
D.
3
x
2
y
(2
x
+ 5
y
-
x
2
)
Hint
3.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
14
a
3
+ 2
a
2
B.
2
a
2
+ 10
a
C.
10
a
3
+ 4
a
2
D.
14
a
2
+ 2
a
Hint
4.
Find the GCF of 14
a
2
b
4
c
and 56
ab
2
c
2
A.
56
ab
2
c
B.
14
a
2
b
4
c
2
C.
56
a
2
b
2
c
2
D.
14
ab
2
c
Hint
5.
Factor 8
ac
+ 12
ad
+ 10
bc
+ 15
bd
.
A.
(8
ac
+ 12
ad
) + (10
bc
+ 15
bd
)
B.
(2
c
+ 3
d
)(4
a
+ 5
b
)
C.
4
a
(2
c
+ 3
d
) + 5
b
(2
c
+ 3
d
)
D.
(2
c
+ 3
d
) + (4
a
+ 5
b
)
Hint
6.
Factor 4
y
2
– 9.
A.
(2
y
– 3)(2
y
– 3)
B.
(2
y
+ 3)(2
y
– 3)
C.
(2
y
+ 3)(2
y
+ 3)
D.
prime
Hint
7.
Which of the following trinomials is a perfect square trinomial?
A.
x
2
+ 16
x
+ 16
B.
9
a
2
- 12
a
+ 4
C.
4
y
2
+ 10
y
+ 25
D.
r
2
- 6
r
+ 36
Hint
8.
Determine whether the expression 5
x
3
y
3
–
x
2
y
2
is a polynomial.
A.
No, because there are two variables.
B.
Cannot be determined from given information.
C.
No, because there are two terms.
D.
Yes.
Hint
9.
Determine whether the expression
x
+
y
+
z
is a monomial, binomial, or trinomial.
A.
binomial
B.
Cannot be determined from given information.
C.
monomial
D.
trinomial
Hint
10.
Factor 3
ty
3
– 48
ty
.
A.
B.
3
ty
(
y
+ 4)(
y
– 4)
C.
D.
Hint
11.
Multiply 4
x
2
(–
x
2
– 3
x
+ 2).
A.
–4
x
2
– 7
x
+ 8
B.
–4
x
4
– 12
x
3
+ 8
x
2
C.
–4
x
4
– 7
x
3
+ 8
x
2
D.
–4
x
2
– 12
x
+ 8
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.
x
2
+
x
– 3
D.
3
x
2
+
x
Hint
13.
Factor 3
x
2
– 8
x
+ 3.
A.
(3
x
– 1)(
x
– 3)
B.
(
x
– 1)(3
x
– 3)
C.
(3
x
– 5)(
x
– 1)
D.
not factorable
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
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
16.
Factor
x
2
+
x
- 20.
A.
(
x
- 5)(
x
+ 4)
B.
(
x
+ 5)(
x
- 4)
C.
(
x
+ 2)(
x
+ 10)
D.
(
x
+ 5)(
x
+ 4)
Hint
17.
Factor
x
2
+ 8
x
+ 12.
A.
(
x
- 3)(
x
- 4)
B.
(
x
+ 3)(
x
+ 4)
C.
(
x
- 6)(
x
- 2)
D.
(
x
+ 6)(
x
+ 2)
Hint
18.
Factor 12
m
2
- 17
m
+ 6.
A.
(4
m
+ 3)(3
m
+ 2)
B.
(6
m
- 3)(2
m
- 2)
C.
(4
m
- 3)(3
m
- 2)
D.
(6
m
- 6)(2
m
- 1)
Hint