1.
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
2.
Simplify
. Assume the denominator is not equal to zero.
A.
B.
C.
D.
Hint
3.
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.
-3 - 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
C.
4
x
2
y
3
+ 3
x
3
y
2
- 2
x
4
y
+ 2
xy
– 3
D.
– 2
x
4
y
+ 3
x
3
y
2
+ 4
x
2
y
3
+ 2
xy
– 3
Hint
4.
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
– 7
xy
– 3
B.
4
xy
2
– 7
xy
– 3
C.
4
xy
2
– 8
x
2
y
– 7
xy
– 3
D.
-
xy
2
– 3
x
2
y
– 3
xy
– 3
Hint
5.
Solve 5(4
x
– 3) = 6(2
x
+ 5) – 5.
A.
x
= 5
B.
C.
D.
Hint
6.
Factor 54
x
3
y
2
A.
2 · 3
3
·
x
·
x
·
x
·
y
·
y
B.
2
3
· 3 ·
x
·
x
·
x
·
y
·
y
C.
2 · 27 ·
x
·
x
·
x
·
y
·
y
D.
2 · 3
3
·
x
·
x
·
y
·
y
·
y
Hint
7.
Simplify ((2
2
)
3
)
4
.
A.
2
9
= 512
B.
2
12
= 4096
C.
2
20
= 1,048,576
D.
2
24
=16,777,216
Hint
8.
Simplify
.
A.
x
6
y
3
B.
x
26
y
3
C.
x
24
y
19
D.
x
3
y
3
Hint
9.
How can the following expression be described 3
x
2
+ 4
x
+ 5
x
– 3?
A.
monomial
B.
binomial
C.
trinomial
D.
polynomial other than these listed
Hint
10.
Suppose the perimeter of a triangle is given by
P
= 13
x
+ 5
y
, and two of its sides have lengths of 2
x
+
y
and 8
x
+ 4
y
. What is the length of the third side?
A.
3
x
B.
3
x
+
y
C.
6
x
+ 3
y
D.
23
x
+ 5
y
Hint
11.
Multiply 4
x
2
(–
x
2
– 3
x
+ 2).
A.
–4
x
4
– 7
x
3
+ 8
x
2
B.
–4
x
4
– 12
x
3
+ 8
x
2
C.
–4
x
2
– 12
x
+ 8
D.
–4
x
2
– 7
x
+ 8
Hint
12.
What is the GCF of 24
x
2
y
3
, 15
x
3
y
2
and 3
x
4
y
3
?
A.
B.
C.
D.
Hint
13.
Which sketch represents
A.
B.
C.
D.
Hint
14.
Which sketch represents
A.
B.
C.
D.
Hint