1.
If
y
varies inversely as
x
and
y
= 15 when
x
= 3, find
y
when
x
= 9.
A.
3
B.
5
C.
45
D.
15
Hint
2.
What is the equation of the directrix of the parabola with equation
y
= (
x
+ 4)
2
- 2?
A.
x
= - 2
B.
C.
y
= - 2
D.
Hint
3.
Graph the hyperbola with equation
x
2
- 4
y
2
- 4
x
+ 24
y
- 36 = 0.
A.
B.
C.
D.
Hint
4.
Use the direct variation equation
y
= 22
x
to find
x
when
y
= 88.
A.
B.
x
= 4
C.
D.
x
= -4
Hint
5.
When Hipolito drives to Cleveland, he always arrives at exactly 5 o'clock. Therefore, if he leaves for Cleveland at 1:00, he can average 60 miles per hour. What time should he leave if he wants to average 75 miles per hour?
A.
1:40
B.
3:12
C.
3:20
D.
1:48
Hint
6.
Solve
by graphing.
A.
{
x
| 0 <
x
< 3.12}
B.
{
x
| 0 <
x
< 3}
C.
{
x
| –1.12 <
x
< 3.12}
D.
{
x
| –1.12 <
x
< 0}
Hint
7.
When is it true that
x
2
+
x
> –2?
A.
B.
C.
D.
all real numbers
Hint
8.
Write the equation
in standard form.
A.
B.
C.
D.
Hint
9.
Which of the following could be the center of a circle that is tangent to the lines
y
= 3 and
x
= –2?
A.
(2, -1)
B.
(2, 1)
C.
(0, 0)
D.
(-3, 1)
Hint
10.
What are the vertices and foci of a hyperbola with equation
?
A.
B.
7; 65
C.
D.
Hint
11.
The graph represents which of the following?
A.
ellipse
B.
circle
C.
hyperbola
D.
parabola
Hint
12.
Suppose
x
varies directly with
y
. If
y
increases by a factor of 2, what will happen to
x
?
A.
It will decrease by a factor of 2.
B.
It will increase by a factor of 4.
C.
It will decrease by a factor of 4.
D.
It will increase by a factor of 2.
Hint
13.
Find the directrix of
x
2
= 9
y
.
A.
B.
C.
D.
y
= 0
Hint
14.
Which conic section is formed by a plane parallel to the
y
-axis but does not pass through the vertex?
A.
B.
C.
D.
Hint