1.
Find the volume of the rectangular solid shown below.
A.
24
a
2
b
7
B.
24
a
4
b
8
C.
9
a
4
b
8
D.
24
a
2
b
10
Hint
2.
Simplify
x
3
y
0
z
-2
.
A.
0
B.
C.
-
x
3
yz
2
D.
Hint
3.
Simplify
Assume the denominator is not equal to zero.
A.
5
xy
2
B.
C.
1
D.
5
xy
8
Hint
4.
Express 47.5 × 10
-5
in scientific notation.
A.
4.75 × 10
-6
B.
475 × 10
-6
C.
0.475 × 10
-3
D.
4.75 × 10
-4
Hint
5.
Find (4
x
2
+ 3
x
) + (7
x
2
– 5
x
– 6).
A.
9
x
– 6
B.
11
x
2
– 8
x
– 6
C.
11
x
4
– 2
x
2
– 6
D.
11
x
2
– 2
x
– 6
Hint
6.
Solve 4
a
(
a
– 4) – 7
a
=
a
(4
a
– 3) + 20.
A.
B.
a
= -1
C.
a
= -6
D.
a
= -2
Hint
7.
Write an expression for the area of the rectangle shown below.
A.
6
xy
2
+ 7
x
3
y
B.
9
x
2
y
4
+ 12
x
4
y
3
C.
6
xy
2
+ 4
x
3
y
D.
12
xy
2
+ 4
x
3
y
Hint
8.
Find (
x
+ 3)(
x
- 5).
A.
x
2
- 2
x
- 15
B.
x
2
+ 8
x
- 15
C.
x
2
- 15
D.
x
2
+ 2
x
- 15
Hint
9.
Find (
x
- 4)
2
.
A.
x
2
+ 16
B.
x
2
- 4
x
+ 16
C.
x
2
- 8
x
+ 16
D.
x
2
- 16
Hint
10.
Find (3
a
+ 4
b
)
2
A.
9
a
2
+ 24
ab
+ 16
b
2
B.
9
a
2
+ 12
ab
+ 16
b
2
C.
3
a
2
+ 24
ab
+ 4
b
2
D.
9
a
2
+ 16
b
2
Hint
11.
Write an expression for the area of the rectangle.
A.
x
3
+ 4
x
2
– 27
x
+ 40
B.
x
3
- 4
x
C.
9
x
2
– 31
x
+ 40
D.
x
2
- 3
x
+ 13
Hint
12.
Simplify ((2
2
)
3
)
4
.
A.
2
9
= 512
B.
2
12
= 4096
C.
2
24
=16,777,216
D.
2
20
= 1,048,576
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
5
C.
1.32 × 10
6
D.
1.32 × 10
4
Hint
14.
Write a polynomial to represent the area of a square with a side
x
minus the area of a triangle with a base 2
x
and a height of 5.
A.
x
2
– 10
x
B.
4
x
C.
x
2
– 2
x
+ 5
D.
x
2
– 5
x
Hint
15.
How can the polynomial
x
2
y
2
+ 2
y
3
– 5
x
y
4
+
x
3
be written with powers of
x
in descending order?
A.
x
2
y
2
+ 2
y
3
+
x
3
– 5
x
y
4
B.
x
2
y
2
+
x
3
+ 2
y
3
– 5
x
y
4
C.
x
3
+
x
2
y
2
– 5
x
y
4
+ 2
y
3
D.
x
3
+
x
2
y
2
+ 2
y
3
– 5
x
y
4
Hint
16.
Find (4
x
2
– 2
x
– 3) + (–
x
2
+ 7
x
– 4).
A.
5
x
2
+ 5
x
+ 1
B.
5
x
2
+ 5
x
– 7
C.
3
x
2
+ 5
x
+ 1
D.
3
x
2
+ 5
x
– 7
Hint