Exam 6: Reducing Rational Expressions to Lowest Terms

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The numerator of a certain fraction is 5 more than the denominator. If The numerator of a certain fraction is 5 more than the denominator. If   is added to the fraction, the result is 3. Find the fraction. is added to the fraction, the result is 3. Find the fraction.

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Perform the indicated operation. Perform the indicated operation.

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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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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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Complete the following table. Complete the following table.

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Solve the following proportion. Solve the following proportion.

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You know that You know that   . Compare these expressions by completing the following table. (Be careful - not all the rows have equal entries.)  . Compare these expressions by completing the following table. (Be careful - not all the rows have equal entries.) You know that   . Compare these expressions by completing the following table. (Be careful - not all the rows have equal entries.)

(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.

(Multiple Choice)
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Reduce the following rational expression to lowest terms. Reduce the following rational expression to lowest terms.

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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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If 100 grams of ice cream contains 13 grams of fat, how much fat is in 350 grams of ice cream?

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An economy car travels 264 miles on 5.5 gallons of gas. Give the average fuel consumption of the car in miles per gallon.

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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 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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A bathtub can be filled by the cold water faucet in 7 minutes and by the hot water faucet in 12 minutes. How long does it take to fill the tub if both faucets are open? Give the answer in minutes.

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Perform the indicated operation. Perform the indicated operation.

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Complete the following table. Complete the following table.

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Solve the following proportion. Solve the following proportion.

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