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1. |
Solve the equation (x -2)(x + 2) = 0. |
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A. |
2 |
B. |
-2, 2 |
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C. |
2, 0 |
D. |
-2 |
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Hint |
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2. |
Solve x2 - 6x = 0 by graphing or by factoring. |
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A. |
0 |
B. |
-6, 0 |
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C. |
-6 |
D. |
0, 6 |
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Hint |
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3. |
Solve 4x2 - 8x + 3 = 0 by completing the square. |
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A. |
 |
B. |
 |
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C. |
1, 3 |
D. |
, 3 |
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Hint |
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4. |
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. |
$2.50-$4.50 |
B. |
$2.00-$4.00 |
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C. |
$2.25-$2.50 |
D. |
$3.00-$4.50 |
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Hint |
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5. |
Find the minimum value of . |
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A. |
(2, 7) |
B. |
11 |
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C. |
7 |
D. |
2 |
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Hint |
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6. |
If a = 2 and the vertex is (3, -4), will there be a minimum or maximum value for the parabola? What is the value? |
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A. |
maximum, 3 |
B. |
maximum, 3 |
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C. |
maximum, 4 |
D. |
minimum, 4 |
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Hint |
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7. |
Solve by graphing. |
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A. |
x = 2 |
B. |
x = 0 |
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C. |
x = 2 |
D. |
no real roots |
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Hint |
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8. |
Solve -x2 + 3x + 5 = 0 by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located. |
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A. |
between 1 and 0, and between 3 and 4 |
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B. |
between 2 and -1, and between 4 and 5 |
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C. |
between 1 and 0, and between 4 and 5 |
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D. |
between 2 and1, and between 3 and 4 |
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Hint |
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9. |
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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10. |
Find the value for the discriminant for the following equation: . Then describe the number and type of roots. |
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A. |
The discriminant is 100, which is not a perfect square; therefore, there are two irrational roots |
B. |
The discriminant is 96, which is not a perfect square; therefore, there are two irrational roots. |
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C. |
The discriminant is 100, which is a perfect square; therefore, there are two rational roots |
D. |
The discriminant is negative, so there are two complex roots. |
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Hint |
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11. |
If a perfect square is equal to a constant, what is the best method to solve the quadratic equation? |
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A. |
Square Root Property |
B. |
Completing the Square |
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C. |
Quadratic Formula |
D. |
Factoring |
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Hint |
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12. |
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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13. |
Find the axis of symmetry of the following function:  |
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A. |
x = 7 |
B. |
x =  |
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C. |
x =  |
D. |
x = 7 |
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Hint |
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14. |
Solve by graphing. |
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A. |
{x| 0 < x < 3.12} |
B. |
{x| 0 < x < 3} |
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C. |
{x| 1.12 < x < 3.12} |
D. |
{x| 1.12 < x < 0} |
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Hint |
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