1.
Simplify 6
g
(-3
h
- 4).
A.
-18
g
h
- 4
B.
-18
g
- 4
C.
6
g
h
- 4
D.
-18
g
h
- 24
g
Hint
2.
Simplify (3
a
4
b
2
)
2
(2
a
3
bc
2
)
3
.
A.
72
a
17
b
7
c
6
B.
17
a
12
b
8
c
5
C.
6
a
17
b
7
c
6
D.
36
a
17
b
7
c
6
Hint
3.
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
+ 4
C.
–3
x
3
–
x
2
+ 5
x
- 12
D.
–3
x
3
– 13
x
2
+ 5
x
- 12
Hint
4.
Factor 4
y
2
– 9.
A.
(2
y
+ 3)(2
y
– 3)
B.
(2
y
+ 3)(2
y
+ 3)
C.
prime
D.
(2
y
– 3)(2
y
– 3)
Hint
5.
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
6.
Factor 6
a
3
b
5
– 15
a
2
b
.
A.
3(2
a
3
b
5
- 5
a
2
b
)
B.
ab
(6
a
2
b
4
- 15
a
)
C.
3
a
3
b
(2
ab
2
- 5)
D.
3
a
2
b
(2
ab
4
- 5)
Hint
7.
Find the quotient
.
A.
B.
C.
D.
Hint
8.
Simplify ((2
2
)
3
)
4
.
A.
2
9
= 512
B.
2
24
=16,777,216
C.
2
12
= 4096
D.
2
20
= 1,048,576
Hint
9.
Suppose the perimeter of a triangle is given by
P
= 13
x
+ 5
y
, and two of its sides have lengths of 2
x
+
y
and 8
x
+ 4
y
. What is the length of the third side?
A.
6
x
+ 3
y
B.
23
x
+ 5
y
C.
3
x
D.
3
x
+
y
Hint
10.
Multiply 4
x
2
(–
x
2
– 3
x
+ 2).
A.
–4
x
4
– 12
x
3
+ 8
x
2
B.
–4
x
4
– 7
x
3
+ 8
x
2
C.
–4
x
2
– 12
x
+ 8
D.
–4
x
2
– 7
x
+ 8
Hint
11.
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
12.
Find the product (2
x
+ 3)(3
x
– 2).
A.
6
x
2
+ 5
x
– 5
B.
6
x
2
+ 5
x
– 6
C.
6
x
2
+ 9
x
– 5
D.
6
x
2
+ 9
x
– 6
Hint
13.
What is the factored form of the polynomial 23
x
2
– 69
x
?
A.
23
x
(
x
2
– 3)
B.
23
x
(
x
+ 3)
C.
23
x
(
x
2
+ 3)
D.
23
x
(
x
– 3)
Hint
14.
Find
.
A.
3
x
– 2
B.
3
x
–
C.
12
x
– 10
D.
48
x
3
– 40
x
2
Hint
15.
If you double Derek's age, add 14 and then multiply by 3, the result is 72. What is Derek's age?
A.
19
B.
101
C.
8
D.
5
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.
4
B.
16
C.
74
D.
44
Hint