Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1
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Simplify.  A | 729 | B | 19,683 | C |  | D | 9 |
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2
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Solve the equation. 
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3
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Graph the exponential function. 
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4
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Graph the function. Identify the horizontal asymptote.  A | 
asymptote: x = –8 | C | 
asymptote: x = 4 | B | 
asymptote: x =
0 | D | 
asymptote: x = 0 |
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5
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The sum of the reciprocals of two consecutive even integers is  .
Write an equation that can be used to find the two integers. Find the two integers.
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6
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Graph the function. Identify the horizontal asymptote.  A | 
asymptote: x = 0 | C | 
asymptote: x = 0 | B | 
asymptote: x =
–1.4 | D | 
asymptote: x = 2 |
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7
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The half-life of a certain radioactive material is 54 hours. An initial
amount of the material has a mass of 242 kg. Write an exponential function that models the
decay of this material. Find how much radioactive material remains after 13 hours. Round
your answer to the nearest thousandth.
A |  ; 204.807 kg | C |  ; 0.534
kg | B |  ; 0.133 kg | D |  ; 0 kg |
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8
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Suppose you invest $200 at an annual interest rate of 7.7% compounded
continuously. How much will you have in the account after 3 years?
A | $1,295.86 | B | $125.58 | C | $648.03 | D | $251.97 |
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9
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Write the equation in logarithmic form. 
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10
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Write the equation in exponential form. 
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11
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State the property or properties of logarithms used to rewrite the
expression.  A | Product Property | C | Power Property | B | Quotient Property | D | Addition
Property |
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12
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Expand the logarithmic expression. 
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13
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Use the Change of Base Formula to evaluate  . Then convert
 to a logarithm in base 2. Round to the nearest thousandth. A | 1.881;  | C | 3.942;  | B | 4.331;  | D | 3.942;  |
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14
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Solve.  Round to the nearest hundredth if
necessary.
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15
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A drama club is planning a bus trip to New York City to see a Broadway
play. The cost per person for the bus rental varies inversely as the number of people going on
the trip. It will cost $38 per person if 29 people go on the trip. How much will it cost
per person if 26 people go on the trip? Round your answer to the nearest cent, if
necessary.
A | $39.36 | B | $34.07 | C | $42.38 | D | $1,102.00 |
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16
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Suppose that y varies directly with x and inversely with z
y = 8 when x = 12, and z = 3. Write the equation that models the
relationship. Then find y when x = 15 and z = 6.
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17
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Find any points of discontinuity for the rational function.  A | x = –7, x = –1 | C | x = –6, x = 6,
x = –3 | B | x = 7, x = 1 | D | x = 6, x = –6, x =
3 |
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18
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Simplify the rational expression. State any restrictions on the
variable. 
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Multiply or divide. State any restrictions on the variables.
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19
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Simplify. State any restrictions on the variables. 
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20
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Simplify. 
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21
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Solve the equation. Check the solution. 
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22
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Solve the equation. Check the solution. 
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23
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Solve the equation. Check the solution. 
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24
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Solve the equation. Check the solution. 
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