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1. |
Solve 2p2 - 3p -2 = 0 by factoring. |
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A. |
- , 2 |
B. |
, 2 |
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C. |
1, 2 |
D. |
-2,  |
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Hint |
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2. |
Solve the equation a2 + 4a = -3 by graphing or by factoring. |
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A. |
-3, 1 |
B. |
-3, -1 |
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C. |
1, 3 |
D. |
-1, 3 |
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Hint |
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3. |
Solve x2 - 4x + 1 = 0 by completing the square. |
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A. |
 |
B. |
2 |
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C. |
1 |
D. |
 |
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Hint |
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4. |
The roots of x2 + 4x + 7 are________. |
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A. |
real and irrational |
B. |
real and rational |
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C. |
real and imaginary |
D. |
imaginary |
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Hint |
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5. |
Find the vertex of the graph of the function f(x) = x2 - 6x + 5. |
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A. |
(3, 4) |
B. |
(3, -4) |
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C. |
(-3, 4) |
D. |
(-6, 5) |
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Hint |
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6. |
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? |
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A. |
$3.00-$4.50 |
B. |
$2.50-$4.50 |
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C. |
$2.25-$2.50 |
D. |
$2.00-$4.00 |
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Hint |
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7. |
Determine whether f(x) = –x2 – 3x + 4 has a maximum or a minimum. |
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A. |
both |
B. |
maximum |
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C. |
minimum |
D. |
cannot be determined from given information |
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Hint |
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8. |
Which of the following graphs best represents the function y = –x2 + 7x + 8? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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9. |
Solve 0 = x2 + 4x + 5 by graphing. |
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A. |
1, –5 |
B. |
no real roots |
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C. |
2 |
D. |
–1, 5 |
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Hint |
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10. |
Solve by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located. |
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A. |
between 0 and 1, and 2 and 3 |
B. |
between –1 and 0, and 1 and 2 |
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C. |
between 0 and 1, and 1 and 2 |
D. |
1, 2 |
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Hint |
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11. |
Solve x2 + 2x+ 3 = 0 by completing the square. |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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12. |
Solve x2 + 14x + 49 = 0 by using the quadratic formula. |
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A. |
6, 16 |
B. |
3, 8 |
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C. |
7, –18 |
D. |
–3, –8 |
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Hint |
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13. |
What is the equation of the parabola whose vertex is at (-3, 1) and passes through the point (-2, 4)? |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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14. |
When is it true that ? |
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A. |
 |
B. |
 |
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C. |
all real numbers |
D. |
-1 |
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Hint |
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