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1. |
The roots of x2 + 4x + 7 are________. |
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A. |
real and imaginary |
B. |
real and irrational |
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C. |
real and rational |
D. |
imaginary |
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Hint |
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2. |
Solve x2 - 6x + 25 = 0. |
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A. |
 |
B. |
-3 ± 4i |
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C. |
6 ± 8i |
D. |
3 ± 4i |
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Hint |
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3. |
Suppose a ball is thrown straight up at a speed of 50 feet per second. The time in seconds that it takes for the ball to hit the ground can be found by solving the equation 5 + 50t - 16t2 = 0. Approximately how long does it take for the ball to hit the ground? |
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A. |
3.2 s |
B. |
0.1 s |
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C. |
4.8 s |
D. |
-0.1 s |
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Hint |
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4. |
Solve x2 + 14x + 49 = 0 by using the quadratic formula. |
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A. |
–3, –8 |
B. |
6, 16 |
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C. |
3, 8 |
D. |
7, –18 |
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Hint |
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5. |
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 negative, so there are two complex 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 96, which is not a perfect square; therefore, there are two irrational roots. |
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Hint |
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