1.
Simplify (4
x
3
) (3
x
5
).
A.
7
x
8
B.
12
x
15
C.
12
x
8
D.
7
x
15
Hint
2.
Simplify (4
y
4
)
3
.
A.
64
y
12
B.
12
y
3
C.
64
y
64
D.
12
y
12
Hint
3.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
4.
Evaluate (3.2 × 10
-5
)(5.4 × 10
9
). Express the result in scientific notation.
A.
0.1728 × 10
6
B.
17.28 × 10
4
C.
1.728 × 10
5
D.
1.728 × 10
3
Hint
5.
Which expression is a binomial?
A.
-3
xy
B.
C.
5
x
- 2
D.
5
x
2
y
+ 4
x
– 6
Hint
6.
Find the sum (4
xy
2
– 3
x
2
y
– 5
xy
– 6) + (-5
xy
2
– 2
xy
+ 3).
A.
4
xy
2
– 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.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
Hint
7.
Find the difference (-7
x
4
y
2
– 3
x
2
y
+ 2
xy
2
– 5) – (4
x
4
y
2
–
xy
2
– 5).
A.
-11
x
4
y
2
- 3
x
2
y
+
xy
2
- 10
B.
-3
x
4
y
2
- 4
xy
2
+ 2
xy
2
- 10
C.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
D.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
- 10
Hint
8.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
14
a
3
+ 2
a
2
B.
14
a
2
+ 2
a
C.
10
a
3
+ 4
a
2
D.
2
a
2
+ 10
a
Hint
9.
Find (
x
+ 3)(
x
- 5).
A.
x
2
- 2
x
- 15
B.
x
2
+ 8
x
- 15
C.
x
2
+ 2
x
- 15
D.
x
2
- 15
Hint
10.
Find (5
t
2
- 2
w
)
2
A.
25
t
4
– 10
t
2
w
+ 4
w
2
B.
25
t
4
– 20
t
2
w
+ 4
w
2
C.
25
t
4
– 4
w
2
D.
25
t
4
+ 4
w
2
Hint
11.
Simplify
.
A.
B.
C.
D.
Hint
12.
What is the value of (4.4 × 10
9
)(3 × 10
-5
) in scientific notation?
A.
1.32 × 10
4
B.
1.32 × 10
5
C.
1.32 × 10
6
D.
1.5 × 10
4
Hint
13.
What is the degree of 3
a
– 4
a
2
b
3
+
b
3
– 4
a
b
?
A.
5
B.
3
C.
2
D.
1
Hint
14.
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.
20 uses
C.
It will never happen.
D.
10 uses
Hint
15.
Find the product (2
x
+ 3)(3
x
– 2).
A.
6
x
2
+ 9
x
– 6
B.
6
x
2
+ 9
x
– 5
C.
6
x
2
+ 5
x
– 5
D.
6
x
2
+ 5
x
– 6
Hint
16.
Which of the following is a difference of two squares?
A.
x
2
– 9
B.
x
2
+ 36
C.
x
2
+ 6x + 9
D.
x
2
– 8
x
– 16
Hint