| |
| |
1. |
If y varies directly as x and y = 35 when x = 5, find y when x = 11. |
| |
|
A. |
7 |
B. |
 |
| |
|
C. |
77 |
D. |
41 |
| |
|
Hint |
|
| |
2. |
Find the coordinates of the vertex of the parabola with equation
x = (y - 2)2 - 3. |
| |
|
A. |
(-3, -2) |
B. |
(2, -3) |
| |
|
C. |
(-3, 2) |
D. |
(-2, 3) |
| |
|
Hint |
|
| |
3. |
The parabola with equation x = -2y2 + 3y - 5 opens _____. |
| |
|
A. |
downward |
B. |
left |
| |
|
C. |
right |
D. |
upward |
| |
|
Hint |
|
| |
4. |
Write an equation for the hyperbola below. |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
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. |
$2.25-$2.50 |
B. |
$2.00-$4.00 |
| |
|
C. |
$2.50-$4.50 |
D. |
$3.00-$4.50 |
| |
|
Hint |
|
| |
6. |
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 |
|
| |
7. |
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. |
1:40 |
D. |
1:48 |
| |
|
Hint |
|
| |
8. |
Solve  by graphing. |
| |
|
A. |
{x| –1.19 < x < 0} |
| |
|
B. |
{x| 4.19< x < –1.19} |
| |
|
C. |
{x| –1.19 < x < 4.19} |
| |
|
D. |
{x| 0 < x < 4.19} |
| |
|
Hint |
|
| |
9. |
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 |
|
| |
10. |
What is equidistant to all of the points on a circle? |
| |
|
A. |
tangent line |
B. |
radius |
| |
|
C. |
center |
D. |
diameter |
| |
|
Hint |
|
| |
11. |
What are the vertices and foci of a hyperbola with equation  ? |
| |
|
A. |
7; 65 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
12. |
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. |
1.5 assignments |
B. |
24 assignments |
| |
|
C. |
112.7 assignments |
D. |
59 assignments |
| |
|
Hint |
|
| |
13. |
What best describes the conic section shown? |
| |
|
 |
| |
|
A. |
circle |
B. |
hyperbola |
| |
|
C. |
point of intersection |
D. |
parabola |
| |
|
Hint |
|
| |
14. |
Which conic section is formed by a plane intersecting two parallel diameters? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
|
|