Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Tell whether the relationship is an inverse variation. Explain. a. | The product xy is constant, so the relationship is not an inverse
variation. | b. | The product xy is not constant, so the relationship is an inverse
variation. | c. | The product xy is constant, so the relationship is an inverse
variation. | d. | The product xy is not constant, so the relationship is not an inverse
variation. |
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2.
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Let  ,  , and  . Let y vary
inversely as x. Find  . a. |  = 115 | c. |  =
9.38 | b. |  = 2.67 | d. |  =
24 |
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3.
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Identify the excluded value for the rational function  .
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4.
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Yi-Pei can fold the laundry in 100 minutes. Charles can fold the laundry in 110
minutes. If Yi-Pei and Charles work together, how long will it take them to fold the laundry? Round
your answer to the nearest minute.
a. | 5 minutes | c. | 210 minutes | b. | 52 minutes | d. | 105 minutes |
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5.
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Solve  . Check your answer.
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6.
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7.
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Divide. Simplify your answer. 
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8.
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Divide by using long division. 
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9.
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Divide. 
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10.
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Add. Simplify your answer. 
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11.
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Tina is organizing a contest for her friends. The winner of the contest can pick
two movie tickets out of a bag without looking. The bag contains movie tickets to Cinema 16 and movie
tickets to Cinema 25. There are five more Cinema 25 tickets than Cinema 16 tickets. Write and
simplify an expression that represents the probability that the winner will pick two Cinema 16
tickets. What is the probability that the winner picks two Cinema 16 tickets if there are 8 Cinema 16
tickets in the bag before her first pick? Round your answer to the nearest hundredth.
a. | 
The probability of picking two Cinema 16 tickets if
there are 8 Cinema 16 tickets in the bag before the first pick is about 0.13. | b. | 
The
probability of picking two Cinema 16 tickets if there are 8 Cinema 16 tickets in the bag before the
first pick is about 0.73. | c. | 
The probability of picking two
Cinema 16 tickets if there are 8 Cinema 16 tickets in the bag before the first pick is about
0.36. | d. | 
The probability of picking two Cinema 16 tickets if
there are 8 Cinema 16 tickets in the bag before the first pick is about
0.15. |
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12.
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Multiply. Simplify your answer. 
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13.
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Add. Simplify your answer. 
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14.
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Divide. Simplify your answer. 
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15.
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Multiply. Simplify your answer.  .
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16.
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Find the LCM of  and  .
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17.
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The rate of heat loss from a metal object is proportional to the ratio of its
surface area to its volume. What is the ratio of a steel sphere’s surface area to volume?
Compare the rate of heat loss for two steel spheres of radius 2 meters and 3 meters,
respectively.
a. | The ratio of the surface area to the volume is  . The 2-meter sphere
loses heat at 1.5 times the rate that the 3-meter sphere loses heat. | b. | The ratio of the
surface area to the volume is  . The 2-meter sphere loses heat at 5 times the rate that
the 3-meter sphere loses heat. | c. | The ratio of the surface area to the volume is
 . The 2-meter sphere loses heat at 6 times the rate that the 3-meter sphere loses
heat. | d. | The ratio of the surface area to the volume is  . The 2-meter sphere
loses heat at  times the rate that the 3-meter sphere loses
heat. |
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18.
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Multiply. Simplify your answer. 
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19.
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Simplify the rational expression  .
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20.
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Identify the asymptotes of  . a. | Vertical asymptote: x =  . Horizontal asymptote: y =
3. | b. | Vertical asymptote: x = 3. Horizontal asymptote: y =  . | c. | Vertical asymptote: x =  . Horizontal asymptote: y =
–3. | d. | Vertical asymptote: x =  . Horizontal asymptote: y =
–3. |
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21.
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Find the excluded values of the rational expression  . a. | The excluded values are –4 and –1. | c. | The excluded values are –5
and 4. | b. | The excluded values are 3 and & |
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