1.
Find the volume of the rectangular solid shown below.
A.
24
a
4
b
8
B.
24
a
2
b
10
C.
24
a
2
b
7
D.
9
a
4
b
8
Hint
2.
Simplify
Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
3.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
-
b
2
C.
D.
Hint
4.
Evaluate (3.2 × 10
-5
)(5.4 × 10
9
). Express the result in scientific notation.
A.
1.728 × 10
3
B.
0.1728 × 10
6
C.
1.728 × 10
5
D.
17.28 × 10
4
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.
8 + 2
xy
3
- 4
x
2
y
+ 6
x
4
y
2
B.
2
xy
3
+ 6
x
4
y
2
- 4
x
2
y
+ 8
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 polynomial that represents the measure of the perimeter of the triangle.
A.
7
xy
2
+ 10
x
– 2
y
B.
15
xy
2
C.
5
xy
2
+ 10
x
D.
7
x
3
y
6
+ 10
x
2
– 2
y
Hint
7.
Solve 4
a
(
a
– 4) – 7
a
=
a
(4
a
– 3) + 20.
A.
B.
a
= -2
C.
a
= -6
D.
a
= -1
Hint
8.
Find (
x
+ 3)(
x
- 5).
A.
x
2
- 15
B.
x
2
- 2
x
- 15
C.
x
2
+ 2
x
- 15
D.
x
2
+ 8
x
- 15
Hint
9.
Find (4
y
- 5)(3
y
- 7).
A.
12
y
2
– 43
y
- 35
B.
12
y
2
+ 35
C.
12
y
2
– 13
y
+ 35
D.
12
y
2
– 43
y
+ 35
Hint
10.
Simplify ((2
2
)
3
)
4
.
A.
2
24
=16,777,216
B.
2
20
= 1,048,576
C.
2
12
= 4096
D.
2
9
= 512
Hint
11.
Express 0.000033 in scientific notation.
A.
3.3 × 10
5
B.
3.3 × 10
-4
C.
3.3 × 10
-6
D.
3.3 × 10
-5
Hint
12.
Which of the following expressions is an example of a polynomial with powers of
x
in ascending order?
A.
x
+ 2
x
3
+ 5
x
4
B.
x
+ 2
x
3
– 2
x
2
– 5
x
4
C.
3
x
+ 5
x
3
– 7
x
4
– 3
D.
x
+ 1 – 6
x
3
+ 2
x
4
Hint
13.
Find (–2
x
2
+ 5
x
– 1) – (3
x
2
– 4
x
– 6).
A.
–5
x
2
+ 9
x
+ 5
B.
–5
x
2
+ 9
x
– 7
C.
–5
x
2
+
x
– 7
D.
–5
x
2
+
x
+ 5
Hint
14.
Multiply 4
x
2
(–
x
2
– 3
x
+ 2).
A.
–4
x
4
– 7
x
3
+ 8
x
2
B.
–4
x
4
– 12
x
3
+ 8
x
2
C.
–4
x
2
– 12
x
+ 8
D.
–4
x
2
– 7
x
+ 8
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
+ 4
x
+ 16
D.
x
2
+ 8
x
+ 8
Hint
16.
Which of the following is a difference of two squares?
A.
x
2
+ 36
B.
x
2
– 9
C.
x
2
+ 6x + 9
D.
x
2
– 8
x
– 16
Hint