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1. |
The roots of x2 + 4x + 7 are________. |
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A. |
imaginary |
B. |
real and rational |
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C. |
real and irrational |
D. |
real and imaginary |
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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 = 2 |
B. |
x =  |
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C. |
y = 3 |
D. |
x = 4 |
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Hint |
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4. |
Determine whether f(x) = –x2 – 3x + 4 has a maximum or a minimum. |
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A. |
both |
B. |
cannot be determined from given information |
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C. |
maximum |
D. |
minimum |
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Hint |
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5. |
Find the minimum value of . |
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A. |
2 |
B. |
11 |
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C. |
(2, 7) |
D. |
7 |
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Hint |
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6. |
Solve 0 = x2 + 4x + 5 by graphing. |
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A. |
2 |
B. |
–1, 5 |
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C. |
1, –5 |
D. |
no real roots |
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Hint |
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7. |
A quadratic function has two real roots. How many times does the graph cross the x-axis? |
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A. |
2 |
B. |
0 |
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C. |
1 |
D. |
cannot be determined from given information. |
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Hint |
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8. |
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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9. |
Solve x2 + 8x + 16 = 36 by using the Square Root Property. |
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A. |
-2 and –14 |
B. |
2 and –10 |
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C. |
-4 |
D. |
2 |
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Hint |
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10. |
Solve 2x2 - 7x + 5 = 0 by completing the square. |
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A. |
 |
B. |
 |
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C. |
4, 10 |
D. |
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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 a perfect square; therefore, there are two rational roots |
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C. |
The discriminant is 100, which is not a perfect square; therefore, there are two irrational roots |
D. |
The discriminant is 96, which is not a perfect square; therefore, there are two irrational roots. |
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Hint |
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12. |
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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13. |
Solve by graphing. |
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A. |
{x| –1.12 < x < 3.12} |
B. |
{x| –1.12 < x < 0} |
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C. |
{x| 0 < x < 3.12} |
D. |
{x| 0 < x < 3} |
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Hint |
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14. |
When is it true that x2 + x > –2? |
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A. |
 |
B. |
 |
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C. |
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D. |
all real numbers |
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Hint |
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