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1. |
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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2. |
Evaluate log7 49. |
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A. |
49 |
B. |
1 |
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C. |
7 |
D. |
2 |
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Hint |
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3. |
 |
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A. |
860 |
B. |
820 |
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C. |
430 |
D. |
838.5 |
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Hint |
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4. |
Determine the sum of the geometric series for which a1 = -486,  , and an = -6. |
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A. |
325 |
B. |
322.6 |
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C. |
732 |
D. |
-726 |
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Hint |
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5. |
There are 9 blue and 15 red marbles in a bag. If you draw one marble from the bag at random, what is the probability it is red? |
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A. |
 |
B. |
 |
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C. |
38% |
D. |
62.5% |
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Hint |
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6. |
Find the probability of drawing a red ace and a red king from a standard deck of cards without replacement. |
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A. |
 or about 0.0385 |
B. |
 or about 0.0060 |
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C. |
 or about 0.0015 |
D. |
 or about 0.0392 |
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Hint |
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7. |
Bill has 4 quarters, 2 dimes, 6 nickels, and 8 pennies in his pocket. He takes one coin at random from the pocket. What is the probability that the coin is a dime or a nickel? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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8. |
The letters of the alphabet are placed in a box. What is the probability of selecting a consonant or a letter from the word variable? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Find the exact value of sin 405°. |
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A. |
- 1 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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10. |
Find sin  |
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A. |
|
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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11. |
The temperature in degrees Fahrenheit can be expressed by the function F(c) = 1.8c + 32 where c is the temperature in degrees Celsius. Find the temperature in degrees Fahrenheit (to the nearest degree) if it is 18° C outside. |
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A. |
212 |
B. |
20 |
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C. |
42 |
D. |
64 |
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Hint |
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12. |
Which of the following graphs best represents the function y = –x2 + 7x + 8? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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13. |
How many possible positive real zeros are there for the polynomial  ? |
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A. |
1 |
B. |
2 |
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C. |
5 |
D. |
3 |
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Hint |
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14. |
Assuming that  , determine whether  is sometimes, always, or never true. |
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A. |
never |
B. |
sometimes |
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C. |
always |
D. |
cannot be determined from given information |
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Hint |
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15. |
Two cities have insect problems. The insects in City A increase exponentially according to the equation y = 120,000e0.04t. The insects in City B increase exponentially according to the equation y = 90,000e0.08t. In 15 years, which city will have more insects, and by approximately how much? |
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A. |
City B, by about 80,000 |
B. |
City B, by about 30,000 |
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C. |
City A, by about 30,000 |
D. |
City A, by about 80,000 |
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Hint |
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16. |
Which of the following is not a recursive formula? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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17. |
Mathematical induction proves statements about which of the following? |
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A. |
all real numbers |
B. |
all positive real numbers |
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C. |
positive integers |
D. |
all integers |
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Hint |
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18. |
In order to determine the most popular ride at Cedar Point, a researcher interviewed people in the parking lot as they were leaving Cedar point. Assuming that everyone went on the rides that they like, is this a random sample? If not, why is it not? |
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A. |
yes |
B. |
no, because it does not include other parks |
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C. |
no, because some of the lines may have been long |
D. |
no, because some of the rides may be new |
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Hint |
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19. |
A runner's pace oscillates during a race between 9 mph and 13 mph. For a one-hour race, this person's pace oscillates 20 times. What is a sine function that represents this situation? |
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A. |
y = 4 sin   + 11 |
B. |
y = 2 sin + 11 |
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C. |
y = 4 sin + 9 |
D. |
y = 2 sin + 9 |
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Hint |
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20. |
Simplify  . |
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A. |
csc |
B. |
sec 2 |
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C. |
csc 2 |
D. |
sec |
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Hint |
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