Exam 6: Reducing Rational Expressions to Lowest Terms

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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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Perform the indicated operation. Perform the indicated operation.

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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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An airplane flying against the wind travels 175 miles in the same amount of time it would take the same plane to travel 185 miles with the wind. If the wind speed is a constant 10 miles per hour, how fast would the plane travel in still air?

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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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Perform the indicated operation. Perform the indicated operation.

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A jogger covers a distance of 2 miles in 24 minutes. Find the average speed of the jogger in miles per hour. Give the answer to one decimal place, if necessary. __________ miles per hour

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The sum of a number and 18 times its reciprocal is 9. Find the number.

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Reduce the following rational expression to lowest terms, if possible. Also, specify any restrictions on the variable. Reduce the following rational expression to lowest terms, if possible. Also, specify any restrictions on the variable.

(Multiple Choice)
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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.   y = __________ y = __________

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Perform the indicated operation. Perform the indicated operation.

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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?

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Perform the indicated operation. Perform the indicated operation.

(Short Answer)
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Simplify the complex fraction. Simplify the complex fraction.

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A man drives his car 215 miles in 5 hours. At this rate, how far will he travel in 8 hours?

(Multiple Choice)
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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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Multiply the expressions. Multiply the expressions.

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