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1. |
The vertex of the graph of the equation y = -x2 + 6x + 1 is |
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A. |
a maximum |
B. |
neither a maximum nor a minimum |
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C. |
both a maximum and a minimum |
D. |
a minimum |
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Hint |
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2. |
What are the real roots of the quadratic equation whose related function is graphed below? |
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A. |
-4, 4 |
B. |
-2 |
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C. |
-4 |
D. |
4 |
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Hint |
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3. |
A quadratic function has a maximum point at (1, 4). The roots of the related quadratic equation are -1 and 3. Which is the graph of the function? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
Use the quadratic formula to solve 2x2 + 7x + 4 = 0. Approximate the solutions to the nearest hundredth. |
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A. |
-3.35, -0.15 |
B. |
-5.56, -1.44 |
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C. |
1.28, 3.66 |
D. |
-2.78, -0.72 |
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Hint |
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5. |
Use the quadratic formula to solve x2 + 4x + 5 = 0. |
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A. |
 |
B. |
-1 |
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C. |
5 |
D. |
-1, -4 |
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Hint |
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6. |
Solve a2 - a - 20 = 0 by completing the square. |
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A. |
-5, 4 |
B. |
-4, 5 |
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C. |
 |
D. |
 |
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Hint |
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7. |
Find the vertex of y = –2x2 + 4x – 3, and tell whether it is a maximum or minimum. |
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A. |
(1, –1), maximum |
B. |
(–1, 1), maximum |
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C. |
(1, 3), minimum |
D. |
(–1, –9), maximum |
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Hint |
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8. |
When using a quadratic equation of the form ax2 + bx + c = 0 to find distances, what should always be ignored? |
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A. |
any solution if  is negative |
B. |
any negative solution |
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C. |
any positive solution |
D. |
any solution if a is negative |
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Hint |
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9. |
A guest on a talk show tends to receive many phone calls right after she is on the show, and then the calls become less frequent. This can be represented by the equation y = 20(0.53)d, where y is the number of phone calls after d days. On what day should she expect to have 3 calls? |
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A. |
2 |
B. |
10 |
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C. |
15 |
D. |
3 |
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Hint |
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10. |
Given the coordinates (0, 3), (1, 11), (2, 19), (3, 27), would a graph of these points exhibit exponential behavior? |
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A. |
yes, exponential behavior only |
B. |
yes, exponential and linear behavior |
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C. |
no, it would not display exponential or linear behavior |
D. |
no, it would display linear behavior |
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Hint |
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11. |
Nancy invests $100 in one account for ten years at a 9% interest rate compounded annually, and she invests $150 in an account for 10 years at a 6% interest rate compounded semi-annually. How much money will she have in the accounts after 10 years? |
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A. |
$507.65 |
B. |
$270.92 |
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C. |
$505.36 |
D. |
$236.74 |
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Hint |
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12. |
Suppose inflation of money is at a rate of 3% per year in the United States. How much will a $1 candy bar cost in 30 years? |
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A. |
$0.40 |
B. |
$2.43 |
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C. |
$4.32 |
D. |
$1.90 |
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Hint |
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13. |
What is the eighth term of the geometric sequence whose first three terms are 3, 6, and 12? |
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A. |
384 |
B. |
128 |
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C. |
768 |
D. |
256 |
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Hint |
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14. |
Suppose that the sixth term of a geometric sequence is 1215, and the first term is 5. What is the second term? |
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A. |
8 |
B. |
15 |
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C. |
12.5 |
D. |
9 |
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Hint |
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