1.
If
y
varies directly as
x
and
y
= 35 when
x
= 5, find
y
when
x
= 11.
A.
41
B.
C.
77
D.
7
Hint
2.
If
y
varies inversely as
x
and
y
= 6 when
x
= 24, find
x
when
y
= 12.
A.
48
B.
24
C.
144
D.
12
Hint
3.
If
y
varies inversely as
x
and
y
= 15 when
x
= 3, find
y
when
x
= 9.
A.
45
B.
5
C.
15
D.
3
Hint
4.
Write an equation for the graph shown below.
A.
y
= (
x
+ 2)
2
- 1
B.
C.
D.
Hint
5.
Find an equation for the graph below.
A.
(
x
+ 4)
2
+ (
y
- 1)
2
= 4
B.
(
x
- 4)
2
+ (
y
+ 1)
2
= 2
C.
(
x
+ 4)
2
+ (
y
- 1)
2
= 2
D.
(
x
- 4)
2
+ (
y
+ 1)
2
= 4
Hint
6.
Find the coordinates of the center of an ellipse with equation
9
x
2
+ 4
y
2
- 72
x
+ 16
y
+ 124 = 0.
A.
(2, 3)
B.
(4, 2)
C.
(4, 9)
D.
(4, -2)
Hint
7.
Find the coordinates of the foci of a hyperbola with equation
A.
B.
C.
D.
Hint
8.
If
y
varies directly as
x
and
y
= 6 when
x
= 2, find
y
when
x
= 5.
A.
6
B.
C.
15
D.
2.4
Hint
9.
When is it true that
x
2
+
x
> –2?
A.
B.
C.
all real numbers
D.
Hint
10.
When is it true that
?
A.
B.
-1
C.
D.
all real numbers
Hint
11.
Which of the following parabolas opens right?
A.
B.
C.
D.
Hint
12.
What is an equation for a circle with a center at (3, -1) that is tangent to the line
x
= 7?
A.
B.
C.
D.
Hint
13.
The graph represents which of the following?
A.
ellipse
B.
circle
C.
hyperbola
D.
parabola
Hint
14.
Which conic section is formed by a plane intersecting only the vertex?
A.
B.
C.
D.
Hint