1.
If
y
varies inversely as
x
and
y
= 6 when
x
= 24, find
x
when
y
= 12.
A.
24
B.
48
C.
144
D.
12
Hint
2.
State the excluded values of
x
in the expression
.
A.
B.
, 3, or 4
C.
or 3
D.
or - 3
Hint
3.
Simplify
.
A.
B.
C.
D.
Hint
4.
Find
.
A.
B.
C.
D.
Hint
5.
Find
.
A.
B.
C.
D.
c
+ 2
Hint
6.
Find
.
A.
B.
C.
D.
2
Hint
7.
Simplify the expression
.
A.
100 mph
B.
198 s/ft
C.
132 ft/s
D.
88 ft/s
Hint
8.
Find the quotient
.
A.
B.
C.
D.
Hint
9.
A.
B.
C.
D.
Hint
10.
A.
B.
C.
D.
Hint
11.
Solve
.
A.
-7 or 2
B.
7 or 2
C.
-7
D.
7
Hint
12.
Solve
.
A.
5
B.
-2 or 7
C.
-2
D.
-2 or
Hint
13.
Which of the following is not true concerning inverse variation?
A.
x
1
y
1
=
x
2
y
2
B.
There is some nonzero constant
k
such that
x
y
=
k
C.
Its graph is defined for
x
= 0.
D.
As
y
increases,
x
decreases
Hint
14.
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
15.
Find
A.
3
B.
C.
D.
–3
Hint
16.
A certain rectangle has a length of
and a width of
. What is the perimeter of the rectangle?
A.
B.
C.
D.
Hint
17.
Find the LCM of
x
2
+ 7
x
+ 12 and
x
2
– 5
x
+ 4.
A.
(
x
– 1)(
x
+ 3) (
x
+ 4)
B.
(
x
– 1)(
x
– 4) (
x
+ 4)
C.
(
x
– 1)(
x
– 4)(
x
+ 3)
D.
(
x
– 1)(
x
– 4)(
x
+ 3) (
x
+ 4)
Hint
18.
Which of the following is not one of the steps for adding rational expressions with unlike denominators?
A.
Add just as with rational expressions with like denominators.
B.
Find the LCD.
C.
Add the unlike denominators together.
D.
Change each rational expression into an equivalent expression with the LCD as the denominator.
Hint