1.
Simplify (4
x
3
) (3
x
5
).
A.
7
x
8
B.
12
x
8
C.
7
x
15
D.
12
x
15
Hint
2.
Simplify
Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
3.
Express 765,000,000,000 in scientific notation.
A.
0.765 × 10
12
B.
7.65 × 10
10
C.
7.65 × 10
-11
D.
7.65 × 10
11
Hint
4.
Express 47.5 × 10
-5
in scientific notation.
A.
475 × 10
-6
B.
0.475 × 10
-3
C.
4.75 × 10
-6
D.
4.75 × 10
-4
Hint
5.
Which expression is not a polynomial?
A.
7
y
3
B.
4
x
3
y
2
- 5
xy
+ 7
C.
D.
3
x
2
+ 5
Hint
6.
What is the degree of 4
x
5
– 5
xy
4
+ 3
xy
2
– 1?
A.
5
B.
0
C.
4
D.
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.
-11
x
4
y
2
- 3
x
2
y
+ 3
xy
2
C.
-3
x
4
y
2
- 4
xy
2
+ 2
xy
2
- 10
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.
2
a
2
+ 10
a
C.
14
a
2
+ 2
a
D.
10
a
3
+ 4
a
2
Hint
9.
Find (5
t
2
- 2
w
)
2
A.
25
t
4
+ 4
w
2
B.
25
t
4
– 20
t
2
w
+ 4
w
2
C.
25
t
4
– 10
t
2
w
+ 4
w
2
D.
25
t
4
– 4
w
2
Hint
10.
Find (
x
– 3)(
x
+ 3).
A.
x
2
- 6
x
- 9
B.
x
2
+ 9
C.
x
2
- 9
D.
x
2
- 6
x
+ 9
Hint
11.
Write an expression for the area of the rectangle.
A.
x
3
- 4
x
B.
9
x
2
– 31
x
+ 40
C.
x
2
- 3
x
+ 13
D.
x
3
+ 4
x
2
– 27
x
+ 40
Hint
12.
Which expression is equivalent to ((3
2
)
4
)
3
?
A.
81
6
B.
9
9
C.
9
6
D.
27
12
Hint
13.
Simplify
.
A.
B.
C.
D.
Hint
14.
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.
3
x
2
+ 5
x
+ 1
D.
5
x
2
+ 5
x
– 7
Hint
15.
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.
10 uses
B.
It will never happen.
C.
20 uses
D.
5 uses
Hint
16.
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