| |
| |
1. |
Use the graph to determine the solution of -x2 + 6x - 9 = 0. |
| |
|
 |
| |
|
A. |
4 |
B. |
2 |
| |
|
C. |
3 |
D. |
-9 |
| |
|
Hint |
|
| |
2. |
Use the graph to determine the solution(s) of x2 - x - 6 = 0. |
| |
|
 |
| |
|
A. |
-2 |
B. |
-6 |
| |
|
C. |
-3, 2 |
D. |
-2, 3 |
| |
|
Hint |
|
| |
3. |
Solve y2 + 8y + 16 = 0 by factoring. |
| |
|
A. |
-4 |
B. |
4 |
| |
|
C. |
4, 8 |
D. |
-4, 4 |
| |
|
Hint |
|
| |
4. |
Solve 2p2 - 3p -2 = 0 by factoring. |
| |
|
A. |
- , 2 |
B. |
, 2 |
| |
|
C. |
1, 2 |
D. |
-2,  |
| |
|
Hint |
|
| |
5. |
Solve 4x2 - 8x + 3 = 0 by completing the square. |
| |
|
A. |
 |
B. |
1, 3 |
| |
|
C. |
, 3 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Solve 2x2 - 4x + 3 = 0. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
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. |
$3.00-$4.50 |
B. |
$2.00-$4.00 |
| |
|
C. |
$2.50-$4.50 |
D. |
$2.25-$2.50 |
| |
|
Hint |
|
| |
8. |
If a = 2 and the vertex is (3, -4), will there be a minimum or maximum value for the parabola? What is the value? |
| |
|
A. |
maximum, 4 |
B. |
maximum, 3 |
| |
|
C. |
minimum, 4 |
D. |
maximum, 3 |
| |
|
Hint |
|
| |
9. |
In the equation y = x2 5, what is the axis of symmetry, and what is the minimum? |
| |
|
A. |
x = 5, min = 0 |
B. |
x = 0, min = 5 |
| |
|
C. |
x = 0, min =  |
D. |
x = , min = 0 |
| |
|
Hint |
|
| |
10. |
What must be done to the quadratic expression ax2 + bx in order to complete the square? |
| |
|
A. |
find one fourth of b and add to original |
| |
|
B. |
find one half of b, square this result, and add to original |
| |
|
C. |
square b, then find one half of the result, and add to original. |
| |
|
D. |
square b and add to original |
| |
|
Hint |
|
| |
11. |
Solve x2 + 14x + 49 = 0 by using the quadratic formula. |
| |
|
A. |
7, 18 |
B. |
3, 8 |
| |
|
C. |
6, 16 |
D. |
3, 8 |
| |
|
Hint |
|
| |
12. |
Find the vertex of the graph of the function . |
| |
|
A. |
(1, 2) |
B. |
(1, 4) |
| |
|
C. |
(1, 4) |
D. |
(1, 2) |
| |
|
Hint |
|
| |
13. |
Find the axis of symmetry of the following function:  |
| |
|
A. |
x = 7 |
B. |
x = 7 |
| |
|
C. |
x =  |
D. |
x =  |
| |
|
Hint |
|
| |
14. |
Solve by graphing. |
| |
|
A. |
{x| 1.12 < x < 0} |
B. |
{x| 1.12 < x < 3.12} |
| |
|
C. |
{x| 0 < x < 3.12} |
D. |
{x| 0 < x < 3} |
| |
|
Hint |
|
|
|