1.
Simplify (4
y
4
)
3
.
A.
64
y
64
B.
64
y
12
C.
12
y
12
D.
12
y
3
Hint
2.
Simplify (4
x
2
y
) (2
x
y
2
z
3
)
3
.
A.
32
x
5
y
7
z
9
B.
8
x
5
y
7
z
9
C.
24
x
5
y
7
z
9
D.
32
x
6
y
6
z
9
Hint
3.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
4.
The area of the rectangle shown below is 4
x
3
y
2
, and its base
b
is 2
x
5
y
. Find the height,
h
.
A.
B.
8
x
8
y
3
C.
D.
2
x
2
y
Hint
5.
What is the degree of 4
x
5
– 5
xy
4
+ 3
xy
2
– 1?
A.
5
B.
0
C.
3
D.
4
Hint
6.
Arrange the terms of 4
x
2
y
3
– 2
x
4
y
+ 3
x
3
y
2
– 3 + 2
xy
so that the powers of
x
are in descending order.
A.
-3 - 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
B.
– 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
– 3
C.
4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
+ 2
xy
– 3
D.
-3 + 2
xy
+ 4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
Hint
7.
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
+ 4
B.
–3
x
3
– 13
x
2
+ 5
x
- 12
C.
–3
x
3
–
x
2
+ 5
x
- 12
D.
-11
x
8
+ 4
Hint
8.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
10
a
3
+ 4
a
2
B.
14
a
2
+ 2
a
C.
14
a
3
+ 2
a
2
D.
2
a
2
+ 10
a
Hint
9.
Find (
x
– 3)(
x
+ 3).
A.
x
2
- 6
x
+ 9
B.
x
2
+ 9
C.
x
2
- 6
x
- 9
D.
x
2
- 9
Hint
10.
What is the value of (4.4 × 10
9
)(3 × 10
-5
) in scientific notation?
A.
1.32 × 10
5
B.
1.5 × 10
4
C.
1.32 × 10
4
D.
1.32 × 10
6
Hint
11.
Express 4.67 × 10
-7
in standard notation.
A.
46,700,000
B.
0.000000467
C.
0.0000000467
D.
0.00000467
Hint
12.
Find (4
x
2
– 2
x
– 3) + (–
x
2
+ 7
x
– 4).
A.
3
x
2
+ 5
x
– 7
B.
5
x
2
+ 5
x
+ 1
C.
5
x
2
+ 5
x
– 7
D.
3
x
2
+ 5
x
+ 1
Hint
13.
A cafeteria has two meal plans. One requires the worker to pay $20 for the card, and $1 each time
x
she uses it. The other plan requires the worker to pay $30 for the card, but only $0.50 each time
x
she uses it. After how many uses will the workers with different plans have spent the same amount of money?
A.
5 uses
B.
It will never happen.
C.
20 uses
D.
10 uses
Hint
14.
Find the product (2
x
- 3)(2
x
2
+ 5
x
- 1).
A.
8
x
2
– 17
x
+ 3
B.
8
x
2
– 17
x
– 3
C.
4
x
3
+ 4
x
2
– 17
x
– 3
D.
4
x
3
+ 4
x
2
– 17
x
+ 3
Hint
15.
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
16.
The length of one side of a square is
x
+ 4. What is the area?
A.
x
2
+ 4
x
+ 16
B.
2
x
+ 8
C.
x
2
+ 8
x
+ 8
D.
x
2
+ 8
x
+ 16
Hint