| |
| |
1. |
Determine the slope of the line that passes through the points at
(1, 5) and (-4, 0). |
| |
|
A. |
1 |
B. |
 |
| |
|
C. |
0 |
D. |
-1 |
| |
|
Hint |
|
| |
2. |
Write an equation of the line that passes through (10,-4) and is perpendicular to the line whose equation is  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
Solve  . |
| |
|
A. |
(-2, -8) |
B. |
 |
| |
|
C. |
(2, 8) |
D. |
 |
| |
|
Hint |
|
| |
4. |
Simplify  |
| |
|
A. |
 |
B. |
k17 |
| |
|
C. |
k-3 |
D. |
k3 |
| |
|
Hint |
|
| |
5. |
Solve  |
| |
|
A. |
 |
B. |
|
| |
|
C. |
 |
D. |
5 |
| |
|
Hint |
|
| |
6. |
Find an equation of the circle whose center is at (-2, 4) and has radius 5. |
| |
|
A. |
(x + 2)2 + (y - 4)2 = 25 |
| |
|
B. |
(x + 2)2 + (y - 4)2 = 5 |
| |
|
C. |
(x - 2)2 + (y + 4)2 = 5 |
| |
|
D. |
(x - 2)2 + (y + 4)2 = 25 |
| |
|
Hint |
|
| |
7. |
Write an equation for the hyperbola below. |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
8. |
Find the coordinates of the vertices of a hyperbola with equation
y2 - 4x2 - 6y - 16x - 11 = 0. |
| |
|
A. |
(-2, 1), (-2, 5) |
B. |
(-4, 3), (2, 3) |
| |
|
C. |
(-2, 7), (-2, -1) |
D. |
(-6, 3), (2, 3) |
| |
|
Hint |
|
| |
9. |
Which is the quadratic term in the function f(x) = 3x2 + 6x - 4? |
| |
|
A. |
3x2 |
B. |
x2 |
| |
|
C. |
3x2 + 6x - 4 |
D. |
3 |
| |
|
Hint |
|
| |
10. |
Suppose a ball is thrown straight up at a speed of 50 feet per second. The time in seconds that it takes for the ball to hit the ground can be found by solving the equation 5 + 50t - 16t2 = 0. Approximately how long does it take for the ball to hit the ground? |
| |
|
A. |
4.8 s |
B. |
0.1 s |
| |
|
C. |
3.2 s |
D. |
-0.1 s |
| |
|
Hint |
|
| |
11. |
Solve  . |
| |
|
A. |
-4, 2 |
B. |
16 |
| |
|
C. |
4 |
D. |
4, 16 |
| |
|
Hint |
|
| |
12. |
Determine the inverse of the function  |
| |
|
A. |
2x - 2 |
B. |
x + 2 |
| |
|
C. |
2x + 1 |
D. |
2x + 2 |
| |
|
Hint |
|
| |
13. |
Solve 6z > 39. |
| |
|
A. |
{z | z < 234} |
B. |
 |
| |
|
C. |
{z | z > 234} |
D. |
 |
| |
|
Hint |
|
| |
14. |
Simplify  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
15. |
Simplify:  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
16. |
What must be done to the quadratic expression ax2 + bx in order to complete the square? |
| |
|
A. |
find one half of b, square this result, and add to original |
| |
|
B. |
square b, then find one half of the result, and add to original. |
| |
|
C. |
find one fourth of b and add to original |
| |
|
D. |
square b and add to original |
| |
|
Hint |
|
| |
17. |
Solve x2 + 2x+ 3 = 0 by completing the square. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
18. |
Which of the following is an inverse of f(x) = 3x - 4? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
3x + 4 |
| |
|
Hint |
|
| |
19. |
Which point is the closest to (-2, 1)? |
| |
|
A. |
(-1, 4) |
B. |
(-5, 2) |
| |
|
C. |
(-4, -1) |
D. |
(-2, 5) |
| |
|
Hint |
|
| |
20. |
What is the equation of the hyperbola whose vertices are at (2, -9) and (2, 7), and whose foci are at (2, -11) and (2, 9)? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
|
|