1.
Simplify (4
y
4
)
3
.
A.
12
y
12
B.
12
y
3
C.
64
y
64
D.
64
y
12
Hint
2.
Simplify (4
x
2
y
) (2
x
y
2
z
3
)
3
.
A.
8
x
5
y
7
z
9
B.
24
x
5
y
7
z
9
C.
32
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.
1
B.
5
xy
8
C.
5
xy
2
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.
8
x
8
y
3
B.
2
x
2
y
C.
D.
Hint
5.
Evaluate (3.2 × 10
-5
)(5.4 × 10
9
). Express the result in scientific notation.
A.
0.1728 × 10
6
B.
1.728 × 10
5
C.
1.728 × 10
3
D.
17.28 × 10
4
Hint
6.
Which expression is not a polynomial?
A.
7
y
3
B.
C.
3
x
2
+ 5
D.
4
x
3
y
2
- 5
xy
+ 7
Hint
7.
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.
-3 + 2
xy
+ 4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
D.
4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
+ 2
xy
– 3
Hint
8.
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.
9
x
– 6
D.
11
x
2
– 8
x
– 6
Hint
9.
Solve 5(4
x
– 3) = 6(2
x
+ 5) – 5.
A.
B.
x
= 5
C.
D.
Hint
10.
Find (
x
+ 3)(
x
- 5).
A.
x
2
+ 2
x
- 15
B.
x
2
- 2
x
- 15
C.
x
2
- 15
D.
x
2
+ 8
x
- 15
Hint
11.
Find (4
r
+ 7
s
)(4
r
- 7
s
)
A.
16
r
2
+ 49
s
2
B.
16
r
2
- 49
s
2
C.
16
r
2
+ 56
rs
+ 49
s
2
D.
16
r
2
- 56
rs
+ 49
s
2
Hint
12.
Express 0.000033 in scientific notation.
A.
3.3 × 10
-5
B.
3.3 × 10
-6
C.
3.3 × 10
-4
D.
3.3 × 10
5
Hint
13.
Find (4
x
2
– 2
x
– 3) + (–
x
2
+ 7
x
– 4).
A.
5
x
2
+ 5
x
+ 1
B.
5
x
2
+ 5
x
– 7
C.
3
x
2
+ 5
x
+ 1
D.
3
x
2
+ 5
x
– 7
Hint
14.
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.
100
x
B.
2000 + 100
x
C.
2000
D.
2100
Hint
15.
Find the product (2
x
- 3)(2
x
2
+ 5
x
- 1).
A.
4
x
3
+ 4
x
2
– 17
x
+ 3
B.
8
x
2
– 17
x
– 3
C.
4
x
3
+ 4
x
2
– 17
x
– 3
D.
8
x
2
– 17
x
+ 3
Hint
16.
Find the product (3
x
+ 3)
2
.
A.
6
x
2
+ 12
x
+ 9
B.
9
x
2
+ 12
x
+ 9
C.
6
x
2
+ 18
x
+ 9
D.
9
x
2
+ 18
x
+ 9
Hint