1.
Find an equation of the circle whose center is at (-2, 4) and has radius 5.
A.
(
x
+ 2)
2
+ (
y
- 4)
2
= 5
B.
(
x
- 2)
2
+ (
y
+ 4)
2
= 25
C.
(
x
+ 2)
2
+ (
y
- 4)
2
= 25
D.
(
x
- 2)
2
+ (
y
+ 4)
2
= 5
Hint
2.
If
y
varies directly as
x
and
y
= 2 when
x
= 4, find
x
when
y
= 4.
A.
8
B.
16
C.
2
D.
4
Hint
3.
If
y
varies inversely as
x
and
y
= 3 when
x
= 3, find
y
when
x
= 4.
A.
3.5
B.
2.25
C.
1
D.
4
Hint
4.
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
5.
Suppose
y
varies directly as
x
, and
y
= -65 when
x
= -26. Write a direct variation equation that relates
x
and
y
.
A.
B.
C.
D.
Hint
6.
Solve
by graphing.
A.
{
x
| 0 <
x
< 3.12}
B.
{
x
| –1.12 <
x
< 0}
C.
{
x
| 0 <
x
< 3}
D.
{
x
| –1.12 <
x
< 3.12}
Hint
7.
When is it true that
x
2
+
x
> –2?
A.
B.
C.
D.
all real numbers
Hint
8.
Which of the following parabolas opens right?
A.
B.
C.
D.
Hint
9.
What is equidistant to all of the points on a circle?
A.
diameter
B.
center
C.
tangent line
D.
radius
Hint
10.
What are the vertices and foci of a hyperbola with equation
?
A.
B.
C.
D.
7; 65
Hint
11.
Find the directrix of
x
2
= 9
y
.
A.
B.
y
= 0
C.
D.
Hint
12.
What best describes the conic section shown?
A.
circle
B.
parabola
C.
point of intersection
D.
hyperbola
Hint
13.
Which diagram shows a plane parallel to the
y
-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