1.
If
y
varies directly as
x
and
y
= 35 when
x
= 5, find
y
when
x
= 11.
A.
7
B.
C.
41
D.
77
Hint
2.
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
3.
The parabola with equation
x
= -2
y
2
+ 3
y
- 5 opens _____.
A.
left
B.
upward
C.
right
D.
downward
Hint
4.
Find an equation for the graph below.
A.
(
x
- 4)
2
+ (
y
+ 1)
2
= 2
B.
(
x
- 4)
2
+ (
y
+ 1)
2
= 4
C.
(
x
+ 4)
2
+ (
y
- 1)
2
= 2
D.
(
x
+ 4)
2
+ (
y
- 1)
2
= 4
Hint
5.
Write an equation for the hyperbola below.
A.
B.
C.
D.
Hint
6.
Which is the graph of the inequality
y
<
x
2
-2
x
- 8?
A.
B.
C.
D.
Hint
7.
If
p
varies inversely as
q
and
p
= -8 when
q
= 2, find
p
when
q
= -4.
A.
-16
B.
4
C.
16
D.
-4
Hint
8.
Solve
by graphing.
A.
{
x
| –1.12 <
x
< 0}
B.
{
x
| 0 <
x
< 3}
C.
{
x
| 0 <
x
< 3.12}
D.
{
x
| –1.12 <
x
< 3.12}
Hint
9.
What is an equation for a circle if the endpoints of a diameter are at (3, 4) and (-3, -2)?
A.
B.
C.
D.
Hint
10.
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 2.
C.
It will decrease by a factor of 4.
D.
It will increase by a factor of 4.
Hint
11.
Find the focus of
x
2
= 9
y
.
A.
B.
C.
D.
Hint
12.
What best describes the conic section shown?
A.
hyperbola
B.
parabola
C.
point of intersection
D.
circle
Hint
13.
Which diagram shows a plane parallel to the
x
-axis?
A.
B.
C.
D.
Hint
14.
Find the coordinates of the foci of a hyperbola with an equation of
A.
B.
C.
D.
Hint