1.
If
y
varies inversely as
x
and
y
= 15 when
x
= 3, find
y
when
x
= 9.
A.
3
B.
45
C.
5
D.
15
Hint
2.
State the excluded values of
a
and
b
in the expression
.
A.
B.
C.
D.
Hint
3.
Simplify
.
A.
B.
C.
z
+ 4
D.
Hint
4.
Find
.
A.
B.
C.
D.
c
+ 2
Hint
5.
Find
.
A.
B.
C.
t
+ 2
D.
Hint
6.
Find
.
A.
B.
C.
D.
Hint
7.
Find (
a
2
+ 3
a
+ 4) ÷ (
a
- 2).
A.
a
+ 5
B.
C.
a
+ 3 - 2
D.
Hint
8.
Write
as a rational expression.
A.
B.
C.
D.
Hint
9.
Solve
.
A.
1 or 4
B.
4
C.
-2
D.
0
Hint
10.
If
y
varies inversely as
x
and
y
= 14 when
x
= 3, what is
x
when
y
= 84?
A.
B.
6
C.
28
D.
2
Hint
11.
Find
.
A.
B.
C.
D.
Hint
12.
A builder wants the kitchen to have an area of
x
2
– 2
x
– 24, and a length of
x
+ 4. What is the width?
A.
x
+ 6
B.
6
C.
– 6
D.
x
– 6
Hint
13.
Find
A.
B.
3
C.
D.
–3
Hint
14.
Find
.
A.
B.
C.
D.
Hint
15.
Find the LCM of 8
x
2
y
2
z
and 12
x
y
3
z
2
.
A.
48
x
2
y
3
z
B.
24
x
2
y
3
z
2
C.
24
x
2
y
3
z
D.
48
x
2
y
3
z
2
Hint
16.
Find
.
A.
B.
C.
–3
D.
Hint
17.
Simplify
.
A.
B.
C.
D.
Hint
18.
Juan and Sam have to complete 4 home repair jobs this week. If Juan works by himself, he can do the repairs in 7 days. With Sam helping him, they completed them in 3 days. How long would it take Sam to complete the repairs alone?
A.
B.
C.
D.
Hint