1.
Find the difference (-3
x
3
– 7
x
2
+ 5
x
– 4) – (6
x
2
– 8).
A.
-11
x
8
+ 4
B.
–3
x
3
– 13
x
2
+ 5
x
- 12
C.
–3
x
3
– 13
x
2
+ 5
x
+ 4
D.
–3
x
3
–
x
2
+ 5
x
- 12
Hint
2.
Find the sum (4
xy
2
– 3
x
2
y
– 5
xy
– 6) + (-5
xy
2
– 2
xy
+ 3).
A.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
B.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
C.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
D.
4
xy
2
– 7
xy
– 3
Hint
3.
Find –8
x
3
y
2
(3
xy
4
– 2
x
5
–
y
).
A.
–24
x
4
y
6
- 16
x
8
y
2
+ 8
x
3
y
3
B.
–24
x
4
y
6
+ 16
x
8
y
2
+ 8
x
3
y
3
C.
–5
x
4
y
6
- 10
x
8
y
2
- 9
x
3
y
3
D.
–24
x
4
y
6
+ 16
x
15
y
2
+ 8
x
3
y
3
Hint
4.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
14
a
2
+ 2
a
B.
14
a
3
+ 2
a
2
C.
10
a
3
+ 4
a
2
D.
2
a
2
+ 10
a
Hint
5.
Find the GCF of 14
a
2
b
4
c
and 56
ab
2
c
2
A.
56
ab
2
c
B.
14
ab
2
c
C.
14
a
2
b
4
c
2
D.
56
a
2
b
2
c
2
Hint
6.
Factor 20
a
4
b
2
- 15
ab
+ 30
a
2
b
A.
a
2
b
(20
a
2
b
- 15 + 30
a
)
B.
5(4
a
4
b
2
- 3
ab
+ 10
a
2
b
)
C.
5
a
2
b
(15
a
2
b
- 10 + 25
a
)
D.
5
ab
(4
a
3
b
- 3 + 6
a
)
Hint
7.
Which of the following trinomials is a perfect square trinomial?
A.
4
y
2
+ 10
y
+ 25
B.
r
2
- 6
r
+ 36
C.
9
a
2
- 12
a
+ 4
D.
x
2
+ 16
x
+ 16
Hint
8.
Factor
x
2
-
y
4
A.
(
x
-
y
2
)(
x
-
y
2
)
B.
(
x
+
y
)(
x
–
y
)
C.
(
x
-
y
2
)(
x
+
y
2
)
D.
(
x
+
y
2
)(
x
+
y
)(
x
–
y
)
Hint
9.
Find the quotient
.
A.
B.
C.
D.
Hint
10.
Simplify ((2
2
)
3
)
4
.
A.
2
12
= 4096
B.
2
24
=16,777,216
C.
2
20
= 1,048,576
D.
2
9
= 512
Hint
11.
Which expression is equivalent to ((3
2
)
4
)
3
?
A.
9
6
B.
81
6
C.
27
12
D.
9
9
Hint
12.
A rectangle has a base of 4
x
– 1 and a height of 3
x
+ 2. What is the area?
A.
12
x
2
– 5
x
+ 2
B.
12
x
2
– 5
x
– 2
C.
12
x
2
+ 5
x
– 2
D.
12
x
2
+ 5
x
+ 2
Hint
13.
Find the product (2
x
+ 3)(3
x
– 2).
A.
6
x
2
+ 5
x
– 5
B.
6
x
2
+ 9
x
– 5
C.
6
x
2
+ 5
x
– 6
D.
6
x
2
+ 9
x
– 6
Hint
14.
Find
.
A.
12
x
– 10
B.
48
x
3
– 40
x
2
C.
3
x
– 2
D.
3
x
–
Hint
15.
A number is increased by 13, multiplied by 6 and then divided by 2. The final number is 108. What is the original number?
A.
23
B.
16
C.
-4
D.
14
Hint
16.
Half of Tom's age, increased by 19, divided by 3 and then multiplied by 6 is 54. How old is Tom?
A.
44
B.
16
C.
4
D.
74
Hint