1.
Simplify (3
a
4
b
5
c
)
4
.
A.
12
a
8
b
9
c
5
B.
7
a
16
b
20
c
4
C.
81
a
16
b
20
c
4
D.
3
a
16
b
20
c
4
Hint
2.
Find the volume of the rectangular solid shown below.
A.
24
a
4
b
8
B.
24
a
2
b
10
C.
9
a
4
b
8
D.
24
a
2
b
7
Hint
3.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
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.
4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
+ 2
xy
– 3
B.
-3 - 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
C.
-3 + 2
xy
+ 4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
D.
– 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
– 3
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.
6
x
4
y
2
- 4
x
2
y
+ 2
xy
3
+8
B.
2
xy
3
+ 6
x
4
y
2
- 4
x
2
y
+ 8
C.
8 + 2
xy
3
- 4
x
2
y
+ 6
x
4
y
2
D.
8 – 4
x
2
y
+ 6
x
4
y
2
+ 2
xy
3
Hint
6.
Find the difference (-3
x
3
– 7
x
2
+ 5
x
– 4) – (6
x
2
– 8).
A.
-11
x
8
+ 4
B.
–3
x
3
– 13
x
2
+ 5
x
- 12
C.
–3
x
3
–
x
2
+ 5
x
- 12
D.
–3
x
3
– 13
x
2
+ 5
x
+ 4
Hint
7.
Find the sum (4
xy
2
– 3
x
2
y
– 5
xy
– 6) + (-5
xy
2
– 2
xy
+ 3).
A.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
B.
-
xy
2
– 3
x
2
y
– 7
xy
– 3
C.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
D.
4
xy
2
– 7
xy
– 3
Hint
8.
Simplify 5
a
(4
a
2
– 2
a
) + 3
a
(-2
a
2
+ 4
a
).
A.
2
a
2
+ 10
a
B.
10
a
3
+ 4
a
2
C.
14
a
3
+ 2
a
2
D.
14
a
2
+ 2
a
Hint
9.
Solve 4
a
(
a
– 4) – 7
a
=
a
(4
a
– 3) + 20.
A.
B.
a
= -1
C.
a
= -2
D.
a
= -6
Hint
10.
Simplify
.
A.
x
2
y
2
B.
x
3
y
2
C.
x
3
y
D.
x
2
y
Hint
11.
Factor
A.
B.
C.
D.
Hint
12.
Factor
A.
B.
C.
D.
Hint
13.
Which sketch represents
A.
B.
C.
D.
Hint
14.
Which sketch represents
A.
B.
C.
D.
Hint