1.
If
y
varies inversely as
x
and
y
= 3 when
x
= 3, find
y
when
x
= 4.
A.
4
B.
2.25
C.
1
D.
3.5
Hint
2.
Multiply
A.
B.
C.
D.
Hint
3.
Solve
.
A.
-3, 1
B.
0, 1
C.
1
D.
-3, -1
Hint
4.
Simplify
.
A.
B.
C.
D.
Hint
5.
Find the slope of the line that passes through A
and B
.
A.
B.
C.
D.
Hint
6.
Which of the following is the LCM of
.
A.
33
s
4
t
2
q
2
B.
33
s
4
q
2
C.
66
s
4
t
2
q
2
D.
66
s
4
q
2
Hint
7.
If the rational expression of a function in simplest form is defined for
x
=
a
, but the original function is undefined for
x
=
a
, what happens at
x
= a?
A.
There is a vertical asymptote at
x
=
a
.
B.
f
(
a
) = 0
C.
There is a vertical asymptote at
x
= 0.
D.
There is a point discontinuity.
Hint
8.
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
C.
for
and
x
> 40, because stress is a non-negative quantity
D.
for
Hint
9.
Suppose
x
varies directly with
y
. If
y
increases by a factor of 2, what will happen to
x
?
A.
It will increase by a factor of 2.
B.
It will decrease by a factor of 4.
C.
It will decrease by a factor of 2.
D.
It will increase by a factor of 4.
Hint
10.
What type of function is
?
A.
square root function
B.
inverse variation function
C.
absolute value function
D.
direct variation function
Hint
11.
When will it be true that
?
A.
only when
x
is an integer
B.
never
C.
only when
x
is not an integer
D.
always
Hint
12.
Solve
. Check your solution.
A.
–2
B.
6 and –2
C.
–4
D.
6
Hint