1.
Simplify (3
a
4
b
2
)
2
(2
a
3
bc
2
)
3
.
A.
72
a
17
b
7
c
6
B.
6
a
17
b
7
c
6
C.
36
a
17
b
7
c
6
D.
17
a
12
b
8
c
5
Hint
2.
Find the volume of the rectangular solid shown below.
A.
24
a
2
b
10
B.
24
a
2
b
7
C.
9
a
4
b
8
D.
24
a
4
b
8
Hint
3.
Simplify
Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
4.
Simplify
Assume the denominator is not equal to zero.
A.
5
xy
2
B.
5
xy
8
C.
1
D.
Hint
5.
Arrange the terms of 6
x
4
y
2
– 4
x
2
y
+ 2
xy
3
+ 8 so that the powers of
y
are in ascending order.
A.
2
xy
3
+ 6
x
4
y
2
- 4
x
2
y
+ 8
B.
8 + 2
xy
3
- 4
x
2
y
+ 6
x
4
y
2
C.
8 – 4
x
2
y
+ 6
x
4
y
2
+ 2
xy
3
D.
6
x
4
y
2
- 4
x
2
y
+ 2
xy
3
+8
Hint
6.
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
7.
Find (2
y
2
+ 7
y
– 5)(3
y
2
– 5
y
+ 4).
A.
5
y
2
+ 2
y
– 1
B.
6
y
4
– 35
y
2
– 20
C.
6
y
4
+ 4
y
2
– 32
y
2
– 20
D.
6
y
4
+ 11
y
3
– 42
y
2
+ 53
y
– 20
Hint
8.
Find (
x
- 4)
2
.
A.
x
2
- 8
x
+ 16
B.
x
2
- 16
C.
x
2
+ 16
D.
x
2
- 4
x
+ 16
Hint
9.
Express 2.38 × 10
6
in standard notation.
A.
238,000
B.
2,380,000
C.
0.000000238
D.
0.00000238
Hint
10.
Express 0.000033 in scientific notation.
A.
3.3 × 10
-5
B.
3.3 × 10
5
C.
3.3 × 10
-4
D.
3.3 × 10
-6
Hint
11.
How can the following expression be described 3
x
2
+ 4
x
+ 5
x
– 3?
A.
binomial
B.
trinomial
C.
monomial
D.
polynomial other than these listed
Hint
12.
Anthony and Sanford each throw a football. The height of Anthony's throw can represented by the equation
A
= –10
x
2
+ 15
x
+ 22, where
A
is height and
x
is the time in seconds. The height of Sanford's throw can represented by the equation
S
= –9
x
2
+ 14
x
+ 23. At time
x
, what is the combined height of the throws?
A.
19
x
2
+ 29
x
+ 45
B.
x
2
–
x
+ 1
C.
–19
x
2
+ 29
x
+ 45
D.
–
x
2
+
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.
10 uses
B.
20 uses
C.
5 uses
D.
It will never happen.
Hint
14.
Solve
x
(
x
– 2) + 2
x
(
x
+ 3) + 10 = 3
x
(
x
– 1) + 31.
A.
x
= 3
B.
x
= 4
C.
x
= 2
D.
x
= –2
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.
4
x
3
+ 4
x
2
– 17
x
– 3
C.
8
x
2
– 17
x
– 3
D.
8
x
2
– 17
x
+ 3
Hint
16.
The length of one side of a square is
x
+ 4. What is the area?
A.
x
2
+ 8
x
+ 16
B.
x
2
+ 8
x
+ 8
C.
x
2
+ 4
x
+ 16
D.
2
x
+ 8
Hint