1.
Find (4
x
2
+ 3
x
) + (7
x
2
– 5
x
– 6).
A.
11
x
2
– 8
x
– 6
B.
11
x
4
– 2
x
2
– 6
C.
11
x
2
– 2
x
– 6
D.
9
x
– 6
Hint
2.
Write an expression for the area of the rectangle shown below.
A.
6
xy
2
+ 4
x
3
y
B.
6
xy
2
+ 7
x
3
y
C.
12
xy
2
+ 4
x
3
y
D.
9
x
2
y
4
+ 12
x
4
y
3
Hint
3.
Find (4
y
- 5)(3
y
- 7).
A.
12
y
2
+ 35
B.
12
y
2
– 43
y
+ 35
C.
12
y
2
– 43
y
- 35
D.
12
y
2
– 13
y
+ 35
Hint
4.
Find (3
x
+ 4)(5
x
2
– 4
x
+ 6).
A.
15
x
3
+ 8
x
2
+ 2
x
+ 24
B.
5
x
2
+
x
+ 10
C.
8
x
2
- 13
x
+ 24
D.
15
x
3
+ 32
x
2
+ 34
x
+ 24
Hint
5.
Factor 12
a
2
b
+ 30
ab
2
A.
6
ab
(2
a
+ 5
b
)
B.
ab
(12
a
+ 30
b
)
C.
6
ab
(6
a
+ 24
b
)
D.
6(2
a
2
b
+ 5
ab
2
)
Hint
6.
An expression for the area of a rectangle is
xy
– 2
x
+ 3
y
– 6. Express this area in factored form.
A.
(
x
– 2)(
y
+ 3)
B.
(
x
+ 3)(
y
– 2)
C.
(
xy
– 2
x
)( 3
y
– 6)
D.
x
(
y
– 2) + 3(
y
– 2)
Hint
7.
Factor 6
y
2
+ 22
y
– 8.
A.
(2
y
– 4)(3
y
+ 2)
B.
2(3
y
– 2)(
y
+ 2)
C.
2(3
y
– 1)(
y
+ 4)
D.
(6
y
– 1)(
y
+ 8)
Hint
8.
Factor
x
2
– 8
x
+ 16.
A.
(
x
- 4)
2
B.
(
x
+ 4)
2
C.
(
x
+ 4)(
x
– 4)
D.
(
x
- 8)
2
Hint
9.
Determine whether the expression
x
+
y
+
z
is a monomial, binomial, or trinomial.
A.
monomial
B.
Cannot be determined from given information.
C.
trinomial
D.
binomial
Hint
10.
Simplify
A.
B.
C.
D.
Hint
11.
Factor 3
ty
3
– 48
ty
.
A.
B.
C.
D.
3
ty
(
y
+ 4)(
y
– 4)
Hint
12.
Factor 3
x
2
– 8
x
+ 3.
A.
(3
x
– 1)(
x
– 3)
B.
(3
x
– 5)(
x
– 1)
C.
(
x
– 1)(3
x
– 3)
D.
not factorable
Hint
13.
Simplify
A.
B.
C.
D.
Hint
14.
Factor 5
xyz
- 5
xyw
- 5
xmz
+ 5
xmw
.
A.
(
z
-
w
)(
xy
-
xm
)
B.
(5
z
-
w
)(
xy
+
xm
)
C.
(
z
-
w
)(5
xy
- 5
xm
)
D.
(
z
+
w
)(5
xy
+ 5
xm
)
Hint
15.
Factor
x
2
- 2
x
- 8.
A.
(
x
- 8)(
x
+ 1)
B.
(
x
- 2)(
x
+ 4)
C.
(
x
+ 2)(
x
- 4)
D.
(
x
+ 8)(
x
+ 1)
Hint
16.
Factor
x
2
+
x
- 20.
A.
(
x
+ 2)(
x
+ 10)
B.
(
x
+ 5)(
x
+ 4)
C.
(
x
+ 5)(
x
- 4)
D.
(
x
- 5)(
x
+ 4)
Hint
17.
What is the coefficient of the third term in the polynomial expansion for (
a
+
b
)
5
?
A.
4
B.
5
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.
3
D.
5
Hint