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1. |
Solve m2 - 2m = 15 by factoring. |
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A. |
-3, 5 |
B. |
5 |
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C. |
3 |
D. |
-5, 3 |
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Hint |
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2. |
Find a quadratic equation that has roots 6 + 2i and 6 - 2i. |
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A. |
x2 + 12x + 40 = 0 |
B. |
x2 - 12x + 40 = 0 |
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C. |
x2 +12x - 40 = 0 |
D. |
x2 - 12x - 40 = 0 |
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Hint |
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3. |
Find the axis of symmetry of the graph of f(x) = 4x2 -4x + 4. |
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A. |
x = 4 |
B. |
y = 3 |
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C. |
x = 2 |
D. |
x =  |
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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. |
$2.25-$2.50 |
B. |
$2.00-$4.00 |
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C. |
$2.50-$4.50 |
D. |
$3.00-$4.50 |
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Hint |
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5. |
What is the y-intercept of the function y = 2x2 + 1 |
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A. |
0 |
B. |
3 |
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C. |
1 |
D. |
none |
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Hint |
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6. |
If the vertex of a parabola is (3, -4), what is its axis of symmetry? |
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A. |
x = 3 |
B. |
y = 3 |
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C. |
x = -4 |
D. |
y = -4 |
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Hint |
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7. |
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 0 and 1, and 1 and 2 |
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C. |
1, 2 |
D. |
between –1 and 0, and 1 and 2 |
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Hint |
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8. |
A quadratic function has two real roots. How many times does the graph cross the x-axis? |
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A. |
1 |
B. |
cannot be determined from given information. |
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C. |
0 |
D. |
2 |
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Hint |
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9. |
Solve x2 + 8x + 16 = 36 by using the Square Root Property. |
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A. |
-2 and –14 |
B. |
2 |
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C. |
-4 |
D. |
2 and –10 |
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Hint |
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10. |
What must be done to the quadratic expression ax2 + bx in order to complete the square? |
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A. |
find one half of b, square this result, and add to original |
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B. |
find one fourth of b and add to original |
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C. |
square b, then find one half of the result, and add to original. |
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D. |
square b and add to original |
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Hint |
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11. |
Solve x2 + 14x + 49 = 0 by using the quadratic formula. |
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A. |
7 |
B. |
–7 |
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C. |
–6, –8 |
D. |
6, 8 |
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Hint |
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12. |
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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13. |
Which of the following functions will have the widest graph? |
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A. |
y = –2x2 + 5x – 1 |
B. |
y = 3x2 – 8 |
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C. |
y = x2 +3x + 1 |
D. |
y = x2 + x – 3 |
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Hint |
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14. |
Solve x2 + 7x < –12 algebraically. |
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A. |
{x| 4 < x < 3} |
B. |
{x| 3 < x < 4} |
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C. |
{x| –3 < x < –4} |
D. |
{x| –4 < x < –3} |
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Hint |
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