Exam 7: Rational Expressions

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

(Short Answer)
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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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A map is drawn so that every 3.5 inches on the map corresponds to an actual distance of 100 miles. If the actual distance between the two cities is 540 miles, how far apart are they on the map? __________ inches

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A Ferris wheel called Colossus was built in St. Louis in 1986. It has a circumference of 518 feet. If one trip around the wheel takes 40 seconds, find the average speed of a rider on this wheel in miles per hour. A Ferris wheel called Colossus was built in St. Louis in 1986. It has a circumference of 518 feet. If one trip around the wheel takes 40 seconds, find the average speed of a rider on this wheel in miles per hour.

(Multiple Choice)
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Solve the following proportion. Solve the following proportion.

(Multiple Choice)
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The amount of money M a woman makes per week varies directly with the number of hours h she works per week. If she works 25 hours and earns $153, how much does she make if she works 30 hours?

(Multiple Choice)
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The volume The volume   of a gas varies directly as the temperature   . If   when   find   when   is 90. of a gas varies directly as the temperature The volume   of a gas varies directly as the temperature   . If   when   find   when   is 90. . If The volume   of a gas varies directly as the temperature   . If   when   find   when   is 90. when The volume   of a gas varies directly as the temperature   . If   when   find   when   is 90. find The volume   of a gas varies directly as the temperature   . If   when   find   when   is 90. when The volume   of a gas varies directly as the temperature   . If   when   find   when   is 90. is 90.

(Multiple Choice)
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Simplify the complex fraction. Simplify the complex fraction.

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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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Complete the following table. Complete the following table.

(Multiple Choice)
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Assume Assume   varies inversely with the square of   . If   when   find   when   is 3. varies inversely with the square of Assume   varies inversely with the square of   . If   when   find   when   is 3. . If Assume   varies inversely with the square of   . If   when   find   when   is 3. when Assume   varies inversely with the square of   . If   when   find   when   is 3. find Assume   varies inversely with the square of   . If   when   find   when   is 3. when Assume   varies inversely with the square of   . If   when   find   when   is 3. is 3.

(Multiple Choice)
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Simplify the complex fraction. Simplify the complex fraction.

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A sink can be filled by the cold water faucet in 3 minutes. The drain can empty a full sink in 6 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? __________ minutes

(Short Answer)
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Write the ratio as a fraction in lowest terms. Write the ratio as a fraction in lowest terms.   to  to Write the ratio as a fraction in lowest terms.   to

(Multiple Choice)
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Perform the indicated operation. Perform the indicated operation.

(Multiple Choice)
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The scale on a map indicates that 1 inch on the map corresponds to an actual distance of 125 miles. Two cities are 7.5 inches apart on the map. What is the actual distance between the two cities?

(Multiple Choice)
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Simplify the complex fraction. Simplify the complex fraction.

(Multiple Choice)
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Simplify the complex fraction. Simplify the complex fraction.

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A solution contains 15 milliliters of alcohol and 20 milliliters of water. If another solution is to have the same concentration of alcohol in water but is to contain 36 milliliters of water, how much alcohol must it contain? __________ milliliters

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