1.
Find the volume of the rectangular solid shown below.
A.
24
a
2
b
10
B.
24
a
4
b
8
C.
9
a
4
b
8
D.
24
a
2
b
7
Hint
2.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
-
b
2
D.
Hint
3.
What is the degree of 4
x
5
– 5
xy
4
+ 3
xy
2
– 1?
A.
4
B.
3
C.
0
D.
5
Hint
4.
Arrange the terms of 4
x
2
y
3
– 2
x
4
y
+ 3
x
3
y
2
– 3 + 2
xy
so that the powers of
x
are in descending order.
A.
-3 + 2
xy
+ 4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
B.
– 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
– 3
C.
4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
+ 2
xy
– 3
D.
-3 - 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
Hint
5.
Find (4
x
2
+ 3
x
) + (7
x
2
– 5
x
– 6).
A.
9
x
– 6
B.
11
x
2
– 2
x
– 6
C.
11
x
2
– 8
x
– 6
D.
11
x
4
– 2
x
2
– 6
Hint
6.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
2
a
2
+ 10
a
B.
14
a
2
+ 2
a
C.
14
a
3
+ 2
a
2
D.
10
a
3
+ 4
a
2
Hint
7.
Solve 4
a
(
a
– 4) – 7
a
=
a
(4
a
– 3) + 20.
A.
B.
a
= -1
C.
a
= -2
D.
a
= -6
Hint
8.
Find (3
a
+ 4
b
)
2
A.
3
a
2
+ 24
ab
+ 4
b
2
B.
9
a
2
+ 24
ab
+ 16
b
2
C.
9
a
2
+ 12
ab
+ 16
b
2
D.
9
a
2
+ 16
b
2
Hint
9.
Find (5
t
2
- 2
w
)
2
A.
25
t
4
+ 4
w
2
B.
25
t
4
– 4
w
2
C.
25
t
4
– 20
t
2
w
+ 4
w
2
D.
25
t
4
– 10
t
2
w
+ 4
w
2
Hint
10.
Write an expression for the area of the rectangle.
A.
x
3
+ 4
x
2
– 27
x
+ 40
B.
x
3
- 4
x
C.
x
2
- 3
x
+ 13
D.
9
x
2
– 31
x
+ 40
Hint
11.
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.
B.
x
4
C.
D.
6
x
2
y
2
Hint
12.
Simplify
.
A.
x
6
y
3
B.
x
3
y
3
C.
x
26
y
3
D.
x
24
y
19
Hint
13.
What is the value of (4.4 × 10
9
)(3 × 10
-5
) in scientific notation?
A.
1.5 × 10
4
B.
1.32 × 10
4
C.
1.32 × 10
6
D.
1.32 × 10
5
Hint
14.
Express 4.67 × 10
-7
in standard notation.
A.
0.00000467
B.
0.0000000467
C.
46,700,000
D.
0.000000467
Hint
15.
Find (–2
x
2
+ 5
x
– 1) – (3
x
2
– 4
x
– 6).
A.
–5
x
2
+
x
+ 5
B.
–5
x
2
+
x
– 7
C.
–5
x
2
+ 9
x
+ 5
D.
–5
x
2
+ 9
x
– 7
Hint
16.
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.
4
x
3
+ 4
x
2
– 17
x
+ 3
D.
8
x
2
– 17
x
– 3
Hint