1.
If
y
varies directly as
x
and
y
= 21 when
x
= 5, find
x
when
y
= 42.
A.
4.2
B.
5
C.
10
D.
21
Hint
2.
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
= 5
C.
(
x
- 2)
2
+ (
y
+ 4)
2
= 25
D.
(
x
+ 2)
2
+ (
y
- 4)
2
= 25
Hint
3.
Find an equation of a circle if the endpoints of a diameter are at (-2, -3) and (1, 7).
A.
(
x
+ 2)
2
+ (
y
+ 3)
2
= 109
B.
C.
(
x
- 1)
2
+ (
y
- 7)
2
= 109
D.
Hint
4.
Write an equation for the hyperbola below.
A.
B.
C.
D.
Hint
5.
Graph the hyperbola with equation
x
2
- 4
y
2
- 4
x
+ 24
y
- 36 = 0.
A.
B.
C.
D.
Hint
6.
Solve 9
t
2
- 15
t
+ 4
0.
A.
B.
C.
D.
Hint
7.
Use the direct variation equation
to find
x
when
y
= -34.
A.
x
= -
B.
x
=
C.
x
= -153
D.
x
= 153
Hint
8.
Which of the following is not an example of inverse variation?
A.
the number of running plays a football team can run if they elect to use 2 running backs for 8 plays each, or 1 running back for 16 plays
B.
the number of samples a store can give away if they give 1 free sample to each of 300 people, or decide to give 2 samples to 300 people
C.
the number of computers a company gives if it has enough computers to give 24 people 1 computer, or 12 people two computers
D.
the distance covered if several different people drive 200 miles to the game at variable speeds
Hint
9.
Solve
by graphing.
A.
{
x
| –1.19 <
x
< 0}
B.
{
x
| –1.19 <
x
< 4.19}
C.
{
x
| 4.19<
x
< –1.19}
D.
{
x
| 0 <
x
< 4.19}
Hint
10.
Which of the following parabolas opens right?
A.
B.
C.
D.
Hint
11.
The amount of work done by James and his relative distance to Samuel is inversely related. When James is 6 feet away from Samuel, he can get 13 assignments done per hour. How many assignments can James get done when he is 52 feet away from Samuel?
A.
24 assignments
B.
59 assignments
C.
112.7 assignments
D.
1.5 assignments
Hint
12.
Find the focus of
x
2
= 9
y
.
A.
B.
C.
D.
Hint
13.
What best describes the conic section shown?
A.
circle
B.
parabola
C.
point of intersection
D.
hyperbola
Hint
14.
What best describes the conic section shown?
A.
parabola
B.
hyperbola
C.
point of intersection
D.
circle
Hint