1.
Simplify (3
a
4
b
5
c
)
4
.
A.
3
a
16
b
20
c
4
B.
12
a
8
b
9
c
5
C.
7
a
16
b
20
c
4
D.
81
a
16
b
20
c
4
Hint
2.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
3.
Find (4
x
2
+ 3
x
) + (7
x
2
– 5
x
– 6).
A.
11
x
2
– 2
x
– 6
B.
11
x
4
– 2
x
2
– 6
C.
11
x
2
– 8
x
– 6
D.
9
x
– 6
Hint
4.
Find the difference (-3
x
3
– 7
x
2
+ 5
x
– 4) – (6
x
2
– 8).
A.
–3
x
3
– 13
x
2
+ 5
x
- 12
B.
-11
x
8
+ 4
C.
–3
x
3
– 13
x
2
+ 5
x
+ 4
D.
–3
x
3
–
x
2
+ 5
x
- 12
Hint
5.
Find (2
y
2
+ 7
y
– 5)(3
y
2
– 5
y
+ 4).
A.
5
y
2
+ 2
y
– 1
B.
6
y
4
+ 11
y
3
– 42
y
2
+ 53
y
– 20
C.
6
y
4
– 35
y
2
– 20
D.
6
y
4
+ 4
y
2
– 32
y
2
– 20
Hint
6.
Suppose that the base of a triangle is 3
x
y
and its height is also 3
x
y
. What is its area, expressed as a monomial?
A.
B.
C.
x
4
D.
6
x
2
y
2
Hint
7.
Simplify
.
A.
x
2
y
B.
x
2
y
2
C.
x
3
y
2
D.
x
3
y
Hint
8.
What is the value of (4.4 × 10
9
)(3 × 10
-5
) in scientific notation?
A.
1.32 × 10
4
B.
1.5 × 10
4
C.
1.32 × 10
6
D.
1.32 × 10
5
Hint
9.
Express the result of
in
scientific
notation.
A.
343
B.
3.43 × 10
3
C.
3430
D.
3.43 × 10
2
Hint
10.
Write a polynomial to represent the area of a square with a side
x
minus the area of a triangle with a base 2
x
and a height of 5.
A.
x
2
– 10
x
B.
4
x
C.
x
2
– 2
x
+ 5
D.
x
2
– 5
x
Hint
11.
Which of the following expressions is an example of a polynomial with powers of
x
in ascending order?
A.
x
+ 1 – 6
x
3
+ 2
x
4
B.
x
+ 2
x
3
– 2
x
2
– 5
x
4
C.
3
x
+ 5
x
3
– 7
x
4
– 3
D.
x
+ 2
x
3
+ 5
x
4
Hint
12.
Multiply 4
x
2
(–
x
2
– 3
x
+ 2).
A.
–4
x
4
– 7
x
3
+ 8
x
2
B.
–4
x
4
– 12
x
3
+ 8
x
2
C.
–4
x
2
– 12
x
+ 8
D.
–4
x
2
– 7
x
+ 8
Hint
13.
A worker has a cafeteria meal plan. The plan requires her to pay $20 for the card, and $1 each time
x
she uses it. If the company sells 100 cards, what is its total revenue?
A.
2000
B.
2100
C.
2000 + 100
x
D.
100
x
Hint
14.
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
15.
The length of one side of a square is
x
+ 4. What is the area?
A.
x
2
+ 8
x
+ 16
B.
x
2
+ 8
x
+ 8
C.
x
2
+ 4
x
+ 16
D.
2
x
+ 8
Hint
16.
Find the product (4
n
+ 3)(4
n
– 3).
A.
16
n
2
+ 9
B.
16
n
2
– 24
n
– 9
C.
16
n
2
– 9
D.
16
n
2
+ 24
n
– 9
Hint