1.
The focus of a parabola has coordinates (2, 3). The equation of the directrix is
x
= 0. Find an equation of the parabola.
A.
B.
C.
D.
Hint
2.
Find the radius of a circle with the equation
x
2
+
y
2
+ 6
x
- 10
y
+ 28 = 0.
A.
6
B.
5
C.
3
D.
Hint
3.
Which is the graph of 4
x
2
+ 9
y
2
+ 16
x
-18
y
-11 = 0?
A.
B.
C.
D.
Hint
4.
Stan the Hot Dog Man sells 100 hot dogs per day for $2 each, so his daily revenue is $200. He estimates that for every 25 cents he increases the price of a hot dog, he will sell 5 fewer. What range of prices can he charge so that his daily revenue is at least $225?
A.
$2.50-$4.50
B.
$2.00-$4.00
C.
$2.25-$2.50
D.
$3.00-$4.50
Hint
5.
Find the coordinates of the foci of a hyperbola with equation
A.
B.
C.
D.
Hint
6.
Suppose
y
varies directly as
x
, and
y
= -319 when
x
= 29. Write a direct variation equation that relates
x
and
y
.
A.
B.
C.
y
= -11
x
D.
y
= 11
x
Hint
7.
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
8.
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.
3:12
B.
3:20
C.
1:48
D.
1:40
Hint
9.
If
y
varies inversely as
x
and
y
= 4 when
x
=
, what is
y
when
x
= 3?
A.
6
B.
C.
D.
24
Hint
10.
Solve
x
2
+ 7
x
< –12 algebraically.
A.
{
x
| 3 <
x
< 4}
B.
{
x
| –4 <
x
< –3}
C.
{
x
| 4 <
x
< 3}
D.
{
x
| –3 <
x
< –4}
Hint
11.
Write the equation
in standard form.
A.
B.
C.
D.
Hint
12.
What is equidistant to all of the points on a circle?
A.
center
B.
radius
C.
tangent line
D.
diameter
Hint
13.
What best describes the conic section shown?
A.
circle
B.
point of intersection
C.
parabola
D.
hyperbola
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