1.
Find the volume of the rectangular solid shown below.
A.
24
a
2
b
10
B.
24
a
2
b
7
C.
24
a
4
b
8
D.
9
a
4
b
8
Hint
2.
Simplify
Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
3.
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
4.
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
5.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
14
a
2
+ 2
a
B.
2
a
2
+ 10
a
C.
14
a
3
+ 2
a
2
D.
10
a
3
+ 4
a
2
Hint
6.
Solve 5(4
x
– 3) = 6(2
x
+ 5) – 5.
A.
B.
C.
D.
x
= 5
Hint
7.
Find (
x
+ 3)(
x
- 5).
A.
x
2
+ 8
x
- 15
B.
x
2
- 15
C.
x
2
+ 2
x
- 15
D.
x
2
- 2
x
- 15
Hint
8.
Find (3
a
+ 4
b
)
2
A.
9
a
2
+ 16
b
2
B.
3
a
2
+ 24
ab
+ 4
b
2
C.
9
a
2
+ 24
ab
+ 16
b
2
D.
9
a
2
+ 12
ab
+ 16
b
2
Hint
9.
Find (
x
– 3)(
x
+ 3).
A.
x
2
- 6
x
+ 9
B.
x
2
- 9
C.
x
2
- 6
x
- 9
D.
x
2
+ 9
Hint
10.
Suppose that the base of a triangle is 3
x
y
and its height is also 3
x
y
. What is its area, expressed as a monomial?
A.
6
x
2
y
2
B.
C.
x
4
D.
Hint
11.
Simplify
.
A.
x
3
y
B.
x
2
y
C.
x
2
y
2
D.
x
3
y
2
Hint
12.
What is the value of (4.4 × 10
9
)(3 × 10
-5
) in scientific notation?
A.
1.32 × 10
6
B.
1.32 × 10
4
C.
1.5 × 10
4
D.
1.32 × 10
5
Hint
13.
Express 4.67 × 10
-7
in standard notation.
A.
0.0000000467
B.
46,700,000
C.
0.000000467
D.
0.00000467
Hint
14.
How can the following expression be described 3
x
2
+ 4
x
+ 5
x
– 3?
A.
binomial
B.
monomial
C.
polynomial other than these listed
D.
trinomial
Hint
15.
Find (4
x
2
– 2
x
– 3) + (–
x
2
+ 7
x
– 4).
A.
3
x
2
+ 5
x
+ 1
B.
3
x
2
+ 5
x
– 7
C.
5
x
2
+ 5
x
– 7
D.
5
x
2
+ 5
x
+ 1
Hint
16.
Find the product (2
x
+ 3)(3
x
– 2).
A.
6
x
2
+ 9
x
– 6
B.
6
x
2
+ 5
x
– 5
C.
6
x
2
+ 9
x
– 5
D.
6
x
2
+ 5
x
– 6
Hint