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1. |
Solve the equation (x -2)(x + 2) = 0. |
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A. |
-2 |
B. |
2, 0 |
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C. |
2 |
D. |
-2, 2 |
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Hint |
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2. |
Solve x2 + 3x - 10 = 0 by completing the square. |
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A. |
2 |
B. |
5 |
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C. |
-5, 2 |
D. |
2, 5 |
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Hint |
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3. |
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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4. |
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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5. |
Find an equation for the parabola shown in the graph. |
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A. |
y = (x - 2)2 - 4 |
B. |
y = (x + 2)2 - 4 |
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C. |
y = (x - 2)2 + 4 |
D. |
y = (x + 2)2 - 4 |
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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. |
0 |
B. |
none |
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C. |
3 |
D. |
1 |
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Hint |
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7. |
If the vertex of a parabola is (3, -4), what is its axis of symmetry? |
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A. |
x = 3 |
B. |
y = -4 |
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C. |
y = 3 |
D. |
x = -4 |
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Hint |
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8. |
Find two real numbers whose sum is 12 and whose product is 32. |
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A. |
7 and 5 |
B. |
8 and 4 |
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C. |
no solution |
D. |
2.25 and –14.25 |
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Hint |
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9. |
Solve by graphing. |
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A. |
x = 2 |
B. |
x = –2 |
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C. |
no real roots |
D. |
x = 0 |
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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. |
square b, then find one half of the result, and add to original. |
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B. |
square b and add to original |
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C. |
find one fourth of b and add to original |
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D. |
find one half of b, square this result, and add to original |
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Hint |
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11. |
If a perfect square is equal to a constant, what is the best method to solve the quadratic equation? |
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A. |
Quadratic Formula |
B. |
Square Root Property |
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C. |
Factoring |
D. |
Completing the Square |
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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 = x2 + x – 3 |
B. |
y = x2 +3x + 1 |
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C. |
y = 3x2 – 8 |
D. |
y = –2x2 + 5x – 1 |
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Hint |
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13. |
When is it true that x2 + x > –2? |
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A. |
 |
B. |
all real numbers |
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C. |
 |
D. |
 |
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Hint |
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14. |
When is it true that ? |
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A. |
-1 |
B. |
all real numbers |
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C. |
 |
D. |
 |
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Hint |
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