Exam 7: Rational Expressions

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A sink can be filled by the cold water faucet in 6 minutes. The drain can empty a full sink in 8 minutes. If the sink is empty and both the cold water faucet and the drain are open, how long will it take the sink to overflow?

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Simplify the complex fraction. Simplify the complex fraction.

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Reduce the following rational expression to lowest terms, if possible. Reduce the following rational expression to lowest terms, if possible.

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An economy car travels 234 miles on 4.5 gallons of gas. Give the average fuel consumption of the car in miles per gallon. __________ miles \ gallon

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Solve the following proportion. Solve the following proportion.   x = __________ x = __________

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Multiply the expressions. Multiply the expressions.

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Perform the indicated operation. Perform the indicated operation.

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An airplane flying against the wind travels 210 miles in the same amount of time it would take the same plane to travel 230 miles with the wind. If the wind speed is a constant 20 miles per hour, how fast would the plane travel in still air?

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Simplify the complex fraction. Simplify the complex fraction.

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Solve the following proportion. Solve the following proportion.

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Perform the indicated operation. Reduce your answer to lowest terms. Perform the indicated operation. Reduce your answer to lowest terms.

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Solve the following proportion. Solve the following proportion.

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Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable. Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.

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If If   varies directly with   and if   when   find   when   is 15.   = __________ varies directly with If   varies directly with   and if   when   find   when   is 15.   = __________ and if If   varies directly with   and if   when   find   when   is 15.   = __________ when If   varies directly with   and if   when   find   when   is 15.   = __________ find If   varies directly with   and if   when   find   when   is 15.   = __________ when If   varies directly with   and if   when   find   when   is 15.   = __________ is 15. If   varies directly with   and if   when   find   when   is 15.   = __________ = __________

(Short Answer)
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A solution contains 12 milliliters of alcohol and 16 milliliters of water. If another solution is to have the same concentration of alcohol in water but is to contain 32 milliliters of water, how much alcohol must it contain?

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Perform the indicated operation. Perform the indicated operation.

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Solve the following equation. If impossible, answer no solution . Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable. Solve the following equation. If impossible, answer no solution . Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.   x = __________ x = __________

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Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable. Solve the following equation. Be sure to check each answer in the original equation if you multiply both sides by an expression that contains the variable.

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The weight F of a body varies inversely with the square of the distance d between the body and the center of the Earth. If a man weighs 150 pounds 4,000 miles from the center of the Earth, how much will he weigh at a distance of 5,000 miles from the center of the Earth? F = __________ pounds

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A basketball player makes 4 of 6 free throws in the first game of the season. If she shoots with the same accuracy in the second game, how many of the 12 free throws she attempts will she make? __________ free throws made

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