| |
| |
1. |
Solve the equation w2 - 4w = 12 by graphing. |
| |
|
A. |
0, -3 |
B. |
-2, 6 |
| |
|
C. |
1, 4 |
D. |
6 |
| |
|
Hint |
|
| |
2. |
Solve m2 - 2m = 15 by factoring. |
| |
|
A. |
-5, 3 |
B. |
3 |
| |
|
C. |
-3, 5 |
D. |
5 |
| |
|
Hint |
|
| |
3. |
Solve 4x2 - 8x + 3 = 0 by completing the square. |
| |
|
A. |
 |
B. |
1, 3 |
| |
|
C. |
 |
D. |
, 3 |
| |
|
Hint |
|
| |
4. |
Solve x2 - 6x + 25 = 0. |
| |
|
A. |
 |
B. |
3 ± 4i |
| |
|
C. |
-3 ± 4i |
D. |
6 ± 8i |
| |
|
Hint |
|
| |
5. |
Which function has a graph that opens upward? |
| |
|
A. |
f(x) = -x2 + 4x + 7 |
B. |
f(x) = 2x2 - 5x - 2 |
| |
|
C. |
f(x) = -5x2 -6x -3 |
D. |
f(x) = -x2 + 3x -12 |
| |
|
Hint |
|
| |
6. |
Find the vertex of the graph of the function f(x) = x2 - 6x + 5. |
| |
|
A. |
(-3, 4) |
B. |
(-6, 5) |
| |
|
C. |
(3, -4) |
D. |
(3, 4) |
| |
|
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. |
$2.25-$2.50 |
B. |
$3.00-$4.50 |
| |
|
C. |
$2.50-$4.50 |
D. |
$2.00-$4.00 |
| |
|
Hint |
|
| |
8. |
What is the y-intercept of the function y = 2x2 + 1 |
| |
|
A. |
0 |
B. |
none |
| |
|
C. |
1 |
D. |
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 = , min = 0 |
| |
|
C. |
x = 0, min =  |
D. |
x = 0, min = –5 |
| |
|
Hint |
|
| |
10. |
Solve by graphing. |
| |
|
A. |
x = –2 |
B. |
no real roots |
| |
|
C. |
x = 2 |
D. |
x = 0 |
| |
|
Hint |
|
| |
11. |
What is the negative solution of the equation ? |
| |
|
A. |
 |
B. |
3 |
| |
|
C. |
–5 |
D. |
–3 |
| |
|
Hint |
|
| |
12. |
Solve x2 + 2x+ 3 = 0 by completing the square. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
Solve x2 + 14x + 49 = 0 by using the quadratic formula. |
| |
|
A. |
7 |
B. |
6, 8 |
| |
|
C. |
–7 |
D. |
–6, –8 |
| |
|
Hint |
|
| |
14. |
When is it true that x2 + x > –2? |
| |
|
A. |
 |
B. |
all real numbers |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
|
|