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1. |
Use the graph to determine the solution of -x2 + 6x - 9 = 0. |
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A. |
2 |
B. |
-9 |
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C. |
3 |
D. |
4 |
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Hint |
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2. |
Find the vertex of the graph of f(x) = x2 + 4x - 5. |
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A. |
(-2, 9) |
B. |
(0, -5) |
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C. |
(-2, -9) |
D. |
(2, 7) |
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Hint |
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3. |
Solve y2 + 8y + 16 = 0 by factoring. |
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A. |
4, 8 |
B. |
-4, 4 |
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C. |
-4 |
D. |
4 |
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Hint |
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4. |
Solve the equation a2 + 4a = -3 by graphing or by factoring. |
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A. |
-3, -1 |
B. |
-3, 1 |
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C. |
-1, 3 |
D. |
1, 3 |
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Hint |
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5. |
Solve x2 - 6x + 10 = 0 by completing the square. |
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A. |
1 ± i |
B. |
2, 4 |
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C. |
-3 ± i |
D. |
3 ± i |
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Hint |
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6. |
Solve x2 - 6x + 25 = 0. |
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A. |
6 ± 8i |
B. |
-3 ± 4i |
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C. |
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D. |
3 ± 4i |
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Hint |
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7. |
Which function has a graph that opens upward? |
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A. |
f(x) = -5x2 -6x -3 |
B. |
f(x) = -x2 + 3x -12 |
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C. |
f(x) = -x2 + 4x + 7 |
D. |
f(x) = 2x2 - 5x - 2 |
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Hint |
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8. |
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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9. |
Stan the Hot Dog Man sells 100 hot dogs per day for $2 each, so his daily revenue is $200. He estimates that for every 25 cents he increases the price of a hot dog, he will sell 5 fewer. What range of prices can he charge so that his daily revenue is at least $225? |
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A. |
$2.00-$4.00 |
B. |
$3.00-$4.50 |
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C. |
$2.25-$2.50 |
D. |
$2.50-$4.50 |
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Hint |
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10. |
What is the y-intercept of the function y = 2x2 + 1 |
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A. |
0 |
B. |
3 |
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C. |
none |
D. |
1 |
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Hint |
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11. |
Solve 0 = x2 + 4x + 5 by graphing. |
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A. |
no real roots |
B. |
1, –5 |
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C. |
2 |
D. |
–1, 5 |
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Hint |
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12. |
Solve x2 + 8x + 16 = 36 by using the Square Root Property. |
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A. |
-4 |
B. |
-2 and –14 |
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C. |
2 and –10 |
D. |
2 |
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Hint |
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13. |
If a perfect square is equal to a constant, what is the best method to solve the quadratic equation? |
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A. |
Completing the Square |
B. |
Quadratic Formula |
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C. |
Factoring |
D. |
Square Root Property |
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Hint |
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14. |
Solve x2 + 7x < –12 algebraically. |
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A. |
{x| 4 < x < 3} |
B. |
{x| –4 < x < –3} |
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C. |
{x| 3 < x < 4} |
D. |
{x| –3 < x < –4} |
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Hint |
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