(Questions courtesy of
Chesterfield County Public Schools)
Multiple Choice
Identify the choice that best completes the statement or answers
the question.
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1.
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The population of a state is
counted every ten years. In the table, populations are given for
every twenty years. At the rate the state is growing, what would be the best estimate for the
population in the year 2020?
| Year | population (to nearest
1000) | | 1800 | 478,000 | | 1820 | 639,000 | | 1840 | 753,000 | | 1860 | 993,000 | | 1880 | 1,400,000 | | 1900 | 1,894,000 | | 1920 | 2,559,000 | | 1940 | 3,572,000 | | 1960 | 4,556,000 | | 1980 | 5,880,000 | | 2000 | 8,049,000 | | |
a. | 6, 970,
000 | b. | 10, 600, 000 | c. | 16, 000, 000 | d. | 100, 600, 000 |
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2.
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Evaluate
 .
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3.
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Which of the following best describes the parent function of
 ?
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4.
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Determine the intervals on
which the function is decreasing.
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5.
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Simplify  in
terms of x if  and  .
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6.
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Determine which function has
a range  .
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7.
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If you drop a ball and let
it bounce repeatedly, the rebound height becomes smaller with each bounce. Using an initial
height of 300 inches, the formula for finding the rebound heights can be modeled by
 for  .
What is the approximate rebound height
for  , the 4th bounce?
a. | 2
inches | b. | 13 inches | c. | 50 inches | d. | 75 inches |
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8.
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Determine all possible functions with an asymptote  .
a. | I and
III | b. | II and V | c. | III and IV | d. | IV and VI |
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9.
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Describe the end behavior of
 .
a. | As x approaches infinity, f(x) approaches negative
infinity.
As x approaches negative infinity, f(x) approaches
infinity. | b. | As x approaches infinity, f(x) approaches infinity.
As x approaches negative infinity,
f(x) approaches negative infinity. | c. | As x approaches
infinity, f(x) approaches negative infinity.
As
x approaches negative infinity, f(x) approaches negative infinity.
| d. | As x approaches
infinity, f(x) approaches infinity.
As x approaches negative infinity, f(x) approaches
infinity.
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10.
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Which of the following
scenarios represents a combination?
a. | The arrangement of 8 books on a
shelf. | b. | The number of ways 6 people can be seated at a round table if 2 people must
be seated next to each other.
| c. | The letters r,s,t,v,w
are used to form 5-letter passwords for a security system. | d. | A seven person committee selected from the junior
class. |
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11.
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The electrical resistance of
a wire varies directly as its length and inversely as the square of
its diameter. A wire with a length of 200 inches and a diameter of one-quarter of an inch has a
resistance of 20 ohms. Find the electrical resistance in a 500 inch wire with the same
diameter.
a. | 50
ohms | b. | 200 ohms | c. | 1250 ohms | d. | 5000 ohms |
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12.
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A race car driver increases
her speed at a constant rate. What will be her speed after 20 seconds if her initial speed is
17 meters per second and her rate of acceleration is  meters per second?
a. | 37.0 meters per
second | b. | 57.0 meters per second | c. | 59.2 meters per second | d. | 61.4 meters per
second |
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13.
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The useful life of a radial
tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000
miles. The company makes 10,000 tires a month. What is the
probability that if a radial tire is purchased at random, it will last between 20,000 and 35,000
miles?
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14.
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Identify all
x- and y- intercepts of  .
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15.
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A polynomial function
P(x) has zeros  . Which of the
following represents the factors of P(x)?
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16.
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The weights of eggs produced
on a farm are normally distributed with a mean of 1.4 ounces and a standard deviation of 0.4
ounces. To be graded extra large, an egg must weigh at least 2 ounces. What is the
probability that an egg from this farm will be graded extra large?
a. | 0.934 | b. | 0.157 | c. | 0.066 | d. | 0.025 |
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17.
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Determine the zeros of  .
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18.
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Identify the domain of
 .
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19.
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Determine the inverse of
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20.
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Identify the equation that
best represents the graph p(x).
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21.
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Twelve runners are in a
cross country race. How many different ways can they finish first, second, and
third?
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22.
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If a temperature is
constant, the volume of a gas varies inversely as its pressure. A gas with a pressure of 150
pounds per square inch occupies a volume of 25 cubic feet. What is the constant of
proportionality for this variation?
a. | 3750 | b. | 673 | c. | 6 | d. |  |
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23.
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Determine the number of
horizontal and vertical asymptotes for 
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24.
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At 1,821 feet tall, the CN
Tower in Toronto, Ontario, is the world’s tallest self-supporting structure. A penny is
dropped from the observation deck on top of the tower and falls to the ground. The table shows
the penny’s distance from the ground after various periods of
time (in seconds) have passed. Where is the penny located after falling for a total of 10.5
seconds?
| Time
(seconds) | Distance
(feet) | | 0 | 1821 | | 2 | 1757 | | 4 | 1565 | | 6 | 1245 | | 8 | 797 | | 10 | 221 | | |
a. | 57
feet | b. | 140 feet | c. | 221 feet | d. | 300 feet |
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