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1. |
Solve x2 - 4x + 1 = 0 by completing the square. |
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A. |
2 |
B. |
1 |
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C. |
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D. |
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Hint |
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2. |
Solve x2 - 6x + 10 = 0 by completing the square. |
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A. |
1 ± i |
B. |
3 ± i |
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C. |
-3 ± i |
D. |
2, 4 |
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Hint |
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3. |
Solve x2 + 7x + 8 = 0. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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4. |
Find a quadratic equation with roots and . |
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A. |
8x2 - 3x + 14 = 0 |
B. |
4x2 - x + 6 = 0 |
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C. |
8x2 - 14x + 3 = 0 |
D. |
4x2 - 6x + 1 = 0 |
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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. |
What is the y-intercept of the function y = 2x2 + 1 |
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A. |
1 |
B. |
3 |
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C. |
0 |
D. |
none |
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Hint |
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7. |
Which of the following graphs best represents the function y = x2 + 7x + 8? |
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A. |
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B. |
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C. |
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D. |
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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. |
2 |
B. |
cannot be determined from given information. |
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C. |
0 |
D. |
1 |
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Hint |
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9. |
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 2 and1, and between 3 and 4 |
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D. |
between 1 and 0, and between 4 and 5 |
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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 a perfect square; therefore, there are two rational 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 negative, so there are two complex 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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11. |
Which of the following functions will have the widest graph? |
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A. |
y = x2 +3x + 1 |
B. |
y = 2x2 + 5x 1 |
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C. |
y = 3x2 8 |
D. |
y = x2 + x 3 |
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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. |
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B. |
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C. |
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D. |
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Hint |
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13. |
When is it true that x2 + x > 2? |
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A. |
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B. |
all real numbers |
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C. |
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D. |
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Hint |
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14. |
Solve by graphing. |
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A. |
{x| 1.19 < x < 0} |
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B. |
{x| 1.19 < x < 4.19} |
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C. |
{x| 0 < x < 4.19} |
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D. |
{x| 4.19< x < 1.19} |
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Hint |
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