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1. |
Solve the equation w2 - 4w = 12 by graphing. |
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A. |
0, -3 |
B. |
-2, 6 |
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C. |
1, 4 |
D. |
6 |
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Hint |
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2. |
Solve 4x2 - 8x + 3 = 0 by completing the square. |
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A. |
 |
B. |
1, 3 |
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C. |
, 3 |
D. |
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Hint |
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3. |
Solve x2 - 4x + 1 = 0 by completing the square. |
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A. |
1 |
B. |
 |
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C. |
2 |
D. |
 |
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Hint |
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4. |
Solve x2 + 7x + 8 = 0. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
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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6. |
Find the vertex of the graph of the function f(x) = x2 - 6x + 5. |
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A. |
(3, 4) |
B. |
(-6, 5) |
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C. |
(3, -4) |
D. |
(-3, 4) |
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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. |
maximum |
B. |
minimum |
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C. |
cannot be determined from given information |
D. |
both |
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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. |
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D. |
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Hint |
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9. |
Find two real numbers whose sum is 12 and whose product is 32. |
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A. |
2.25 and –14.25 |
B. |
8 and 4 |
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C. |
7 and 5 |
D. |
no solution |
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Hint |
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10. |
What is the negative solution of the equation ? |
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A. |
–5 |
B. |
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C. |
–3 |
D. |
3 |
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Hint |
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11. |
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 negative, so there are two complex roots. |
B. |
The discriminant is 100, which is not a perfect square; therefore, there are two irrational roots |
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C. |
The discriminant is 96, which is not a perfect square; therefore, there are two irrational roots. |
D. |
The discriminant is 100, which is a perfect square; therefore, there are two rational roots |
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Hint |
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12. |
Which graph of the following functions will be strictly above the graph of ? |
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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. |
Solve x2 + 7x < –12 algebraically. |
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A. |
{x| –3 < x < –4} |
B. |
{x| 3 < x < 4} |
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C. |
{x| 4 < x < 3} |
D. |
{x| –4 < x < –3} |
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Hint |
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14. |
Solve by graphing. |
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A. |
{x| –1.19 < x < 4.19} |
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B. |
{x| 0 < x < 4.19} |
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C. |
{x| 4.19< x < –1.19} |
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D. |
{x| –1.19 < x < 0} |
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Hint |
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