Exam 7: Rational Expressions

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

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Perform the indicated operation. Perform the indicated operation.

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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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Solve the following proportion. Solve the following proportion.

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Solve the following proportion. Solve the following proportion.

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A water tank can be filled in 28 hours by an inlet pipe and emptied in 36 hours by an outlet pipe. How long will it take to fill the tank if both pipes are left open? __________ hours

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Simplify the complex fraction. Simplify the complex fraction.

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Perform the indicated operation. Perform the indicated operation.

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The pressure exerted by a gas on the container in which it is held varies inversely with the volume of the container. A pressure of 50 pounds per square inch is exerted on a container of volume 4 cubic feet. What is the pressure on a container whose volume is 10 cubic feet? __________ pounds per square inch

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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.   x = __________ x = __________

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If If   varies inversely with   and if   when   find   when   is   .   = __________ varies inversely with If   varies inversely with   and if   when   find   when   is   .   = __________ and if If   varies inversely with   and if   when   find   when   is   .   = __________ when If   varies inversely with   and if   when   find   when   is   .   = __________ find If   varies inversely with   and if   when   find   when   is   .   = __________ when If   varies inversely with   and if   when   find   when   is   .   = __________ is If   varies inversely with   and if   when   find   when   is   .   = __________ . If   varies inversely with   and if   when   find   when   is   .   = __________ = __________

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

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

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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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Tina is training for a biathlon. To train for the running portion of the race, she runs 5 miles each day, over the same course. The first 2 miles of the course is on level ground, while the last 3 miles is downhill. She runs 2 miles per hour slower on level ground than she runs downhill. If the complete course takes 1 hour, how fast does she run on the downhill part of the course? __________ miles per hour

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Solve the following proportion. Solve the following proportion.

(Multiple Choice)
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The following problem involves some factoring by grouping. Remember, before you can divide out factors common to the numerator and denominator of a product, you must factor completely. The following problem involves some factoring by grouping. Remember, before you can divide out factors common to the numerator and denominator of a product, you must factor completely.

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Perform the indicated operation. Perform the indicated operation.

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Simplify the complex fraction. Simplify the complex fraction.

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