1.
Simplify (4
x
3
) (3
x
5
).
A.
7
x
8
B.
12
x
15
C.
7
x
15
D.
12
x
8
Hint
2.
Find the volume of the rectangular solid shown below.
A.
9
a
4
b
8
B.
24
a
2
b
10
C.
24
a
4
b
8
D.
24
a
2
b
7
Hint
3.
Simplify
x
3
y
0
z
-2
.
A.
B.
C.
-
x
3
yz
2
D.
0
Hint
4.
Simplify
Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
5.
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
6.
Express 0.034 × 10
7
in scientific notation.
A.
3.4 × 10
9
B.
0.34 × 10
6
C.
3.4 × 10
5
D.
34 × 10
4
Hint
7.
What is the degree of 4
x
5
– 5
xy
4
+ 3
xy
2
– 1?
A.
0
B.
4
C.
3
D.
5
Hint
8.
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 – 4
x
2
y
+ 6
x
4
y
2
+ 2
xy
3
B.
6
x
4
y
2
- 4
x
2
y
+ 2
xy
3
+8
C.
2
xy
3
+ 6
x
4
y
2
- 4
x
2
y
+ 8
D.
8 + 2
xy
3
- 4
x
2
y
+ 6
x
4
y
2
Hint
9.
Find the difference (-3
x
3
– 7
x
2
+ 5
x
– 4) – (6
x
2
– 8).
A.
–3
x
3
–
x
2
+ 5
x
- 12
B.
–3
x
3
– 13
x
2
+ 5
x
- 12
C.
–3
x
3
– 13
x
2
+ 5
x
+ 4
D.
-11
x
8
+ 4
Hint
10.
Find the sum (4
xy
2
– 3
x
2
y
– 5
xy
– 6) + (-5
xy
2
– 2
xy
+ 3).
A.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
B.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
C.
4
xy
2
– 7
xy
– 3
D.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
Hint
11.
Find –8
x
3
y
2
(3
xy
4
– 2
x
5
–
y
).
A.
–24
x
4
y
6
- 16
x
8
y
2
+ 8
x
3
y
3
B.
–5
x
4
y
6
- 10
x
8
y
2
- 9
x
3
y
3
C.
–24
x
4
y
6
+ 16
x
8
y
2
+ 8
x
3
y
3
D.
–24
x
4
y
6
+ 16
x
15
y
2
+ 8
x
3
y
3
Hint
12.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
2
a
2
+ 10
a
B.
14
a
3
+ 2
a
2
C.
10
a
3
+ 4
a
2
D.
14
a
2
+ 2
a
Hint
13.
Find (4
y
- 5)(3
y
- 7).
A.
12
y
2
– 43
y
+ 35
B.
12
y
2
– 43
y
- 35
C.
12
y
2
+ 35
D.
12
y
2
– 13
y
+ 35
Hint
14.
Find (
x
- 4)
2
.
A.
x
2
- 4
x
+ 16
B.
x
2
- 16
C.
x
2
- 8
x
+ 16
D.
x
2
+ 16
Hint
15.
Find (3
a
+ 4
b
)
2
A.
9
a
2
+ 24
ab
+ 16
b
2
B.
3
a
2
+ 24
ab
+ 4
b
2
C.
9
a
2
+ 12
ab
+ 16
b
2
D.
9
a
2
+ 16
b
2
Hint
16.
Write an expression for the area of the rectangle.
A.
x
3
+ 4
x
2
– 27
x
+ 40
B.
x
2
- 3
x
+ 13
C.
9
x
2
– 31
x
+ 40
D.
x
3
- 4
x
Hint