1.
If
y
varies jointly as
x
and
z
and
y
= 12 when
x
= 2 and
z
= 3, find
y
when
x
= - 3 and
z
= 0.5.
A.
27
B.
-18
C.
2
D.
-3
Hint
2.
Simplify
A.
B.
C.
D.
1
Hint
3.
Find
A.
B.
x
- 2
C.
x
2
- 5
x
+ 6
D.
Hint
4.
Simplify
.
A.
B.
C.
D.
Hint
5.
What is the LCM of
and
.
A.
r
(
r
– 1)(
r
+ 3)(
r
+ 9)
B.
(
r
– 1)
2
(
r
+ 3)(
r
+ 9)
C.
r
(
r
– 1)
2
(
r
+ 3)(
r
+ 9)
D.
(
r
– 1)(
r
+ 3)(
r
+ 9)
Hint
6.
What is the equation of the vertical asymptote in the figure?
A.
x
= 3
B.
x
= 0
C.
x
=
D.
y
= 0
Hint
7.
In a certain job, the function
represents the amount of hours worked
x
in relation to the amount of stress
f
(
x
) felt by the workers. For what values of
x
does this graph have meaning?
A.
for all values of
x
B.
for
and
x
> 40, because stress is a non-negative quantity
C.
for
D.
for
and
x
< 40
Hint
8.
Suppose
r
varies jointly with
p
and
q
. If
p
increases and
q
decreases, what will happen to
r
?
A.
It decreases.
B.
Cannot be determined from given information.
C.
It increases.
D.
It stays the same.
Hint
9.
Which of the following is a rational function?
A.
B.
C.
D.
Hint
10.
Which of the following types of functions may have a hole?
A.
absolute value
B.
rational
C.
square root
D.
quadratic
Hint
11.
Solve
. Check your solution.
A.
–2
B.
6
C.
–4
D.
6 and –2
Hint
12.
John ran a marathon on a windy day. He ran the first 13 miles into the wind, and the last 13 miles with the wind at his back, and he completed the course in 3 hours. How fast is John in still conditions if the wind speed was 4 miles per hour?
A.
12.7 mph
B.
8.7 mph
C.
10.2 mph
D.
–1.6 mph
Hint