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1. |
Find the coordinates of the vertex of the graph of the equation
y = x2 - 5x + 7. |
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A. |
(0, 7) |
B. |
 |
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C. |
(5, 7) |
D. |
 |
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Hint |
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2. |
What is the equation of the graph shown? |
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A. |
y = x2 - 2x + 1 |
B. |
y = -x2 - 2x - 1 |
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C. |
y = x2 + 2x + 1 |
D. |
y = -x2 +2x - 1 |
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Hint |
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3. |
Solve x2 – 6x + 5 = 0 by graphing. |
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A. |
5 |
B. |
1 |
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C. |
-1 |
D. |
1, 5 |
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Hint |
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4. |
Use the quadratic formula to solve 6x2 - x - 1 = 0. |
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A. |
 |
B. |
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C. |
 |
D. |
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Hint |
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5. |
Find the value of b that makes x2 + bx + 36 a perfect square. |
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A. |
6 |
B. |
324 |
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C. |
-12, 12 |
D. |
12 |
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Hint |
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6. |
In baseball, a pop fly should be easily caught if it stays in the air for 7 seconds. Suppose a ball that is hit can be represented by the function y = –16t2 + 125t + 5, where y is the height after t seconds. Will the ball be considered an easy catch? |
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A. |
no, because t > 7 |
B. |
no, because t < 7 |
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C. |
yes, because t < 7 |
D. |
yes, because t > 7 |
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Hint |
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7. |
Solve x2 – 16x – 17 = 0 by completing the square. |
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A. |
{1, 17} |
B. |
{–1, 17} |
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C. |
{–1, 13} |
D. |
{1, 13} |
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Hint |
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8. |
How many real roots exist if the discriminant of the equation = 0? |
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A. |
cannot be determined from given information |
B. |
1 |
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C. |
2 |
D. |
0 |
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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 = 30(0.92)d, where y is the number of phone calls after d days. How many phone calls should she expect after a week? |
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A. |
23 |
B. |
28 |
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C. |
17 |
D. |
2 |
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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. |
no, it would not display exponential or linear behavior |
B. |
no, it would display linear behavior |
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C. |
yes, exponential behavior only |
D. |
yes, exponential and linear behavior |
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Hint |
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11. |
Suppose Tyler sprayed around the house for ants. Which formula would be used to find the number of ants still alive after a certain time if the number of ants was changing exponentially? |
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A. |
cannot be determined from given information |
B. |
exponential growth |
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C. |
exponential decay |
D. |
compound interest |
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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. |
$4.32 |
B. |
$1.90 |
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C. |
$0.40 |
D. |
$2.43 |
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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. |
256 |
B. |
384 |
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C. |
128 |
D. |
768 |
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Hint |
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14. |
Suppose that the geometric mean of two numbers is 48, and the first number is 12. What is the second number? |
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A. |
84 |
B. |
192 |
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C. |
24 |
D. |
96 |
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Hint |
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