1.
Simplify (4
x
2
y
) (2
x
y
2
z
3
)
3
.
A.
24
x
5
y
7
z
9
B.
8
x
5
y
7
z
9
C.
32
x
5
y
7
z
9
D.
32
x
6
y
6
z
9
Hint
2.
Simplify
Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
3.
Express 0.034 × 10
7
in scientific notation.
A.
34 × 10
4
B.
3.4 × 10
5
C.
3.4 × 10
9
D.
0.34 × 10
6
Hint
4.
Evaluate
. Express the result in scientific notation.
A.
0.8 × 10
-8
B.
8.0 × 10
-9
C.
8.0 × 10
-7
D.
80 × 10
-8
Hint
5.
Which expression is a binomial?
A.
5
x
- 2
B.
C.
-3
xy
D.
5
x
2
y
+ 4
x
– 6
Hint
6.
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
+ 3
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
+
xy
2
- 10
D.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
Hint
7.
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.
2
a
2
+ 10
a
D.
10
a
3
+ 4
a
2
Hint
8.
Write an expression for the area of the rectangle.
A.
9
x
2
– 31
x
+ 40
B.
x
3
- 4
x
C.
x
3
+ 4
x
2
– 27
x
+ 40
D.
x
2
- 3
x
+ 13
Hint
9.
Simplify ((2
2
)
3
)
4
.
A.
2
9
= 512
B.
2
12
= 4096
C.
2
20
= 1,048,576
D.
2
24
=16,777,216
Hint
10.
Simplify
.
A.
x
6
y
3
B.
x
26
y
3
C.
x
3
y
3
D.
x
24
y
19
Hint
11.
What is the degree of 3
a
– 4
a
2
b
3
+
b
3
– 4
a
b
?
A.
3
B.
1
C.
5
D.
2
Hint
12.
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.
23
x
+ 5
y
B.
3
x
C.
6
x
+ 3
y
D.
3
x
+
y
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.
10 uses
C.
It will never happen.
D.
20 uses
Hint
14.
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.
8
x
2
– 17
x
– 3
D.
4
x
3
+ 4
x
2
– 17
x
– 3
Hint
15.
The length of one side of a square is
x
+ 4. What is the area?
A.
2
x
+ 8
B.
x
2
+ 8
x
+ 16
C.
x
2
+ 8
x
+ 8
D.
x
2
+ 4
x
+ 16
Hint
16.
Find the product (4
n
+ 3)(4
n
– 3).
A.
16
n
2
+ 24
n
– 9
B.
16
n
2
– 24
n
– 9
C.
16
n
2
+ 9
D.
16
n
2
– 9
Hint