Exam 7: Rational Expressions

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Simplify the expression. Work inside parentheses first, and then divide out common factors. Simplify the expression. Work inside parentheses first, and then divide out common factors.

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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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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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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.

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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.

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Reduce the following rational expression to lowest terms. Reduce the following rational expression to lowest terms.

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Solve the following proportion. Solve the following proportion.

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Suppose Suppose   varies directly as the square of   . If   when   find   when   is 1.   = __________ varies directly as the square of Suppose   varies directly as the square of   . If   when   find   when   is 1.   = __________ . If Suppose   varies directly as the square of   . If   when   find   when   is 1.   = __________ when Suppose   varies directly as the square of   . If   when   find   when   is 1.   = __________ find Suppose   varies directly as the square of   . If   when   find   when   is 1.   = __________ when Suppose   varies directly as the square of   . If   when   find   when   is 1.   = __________ is 1. Suppose   varies directly as the square of   . If   when   find   when   is 1.   = __________ = __________

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One plane can travel 30 miles per hour faster than another. One of them goes 300 miles in the same time it takes the other to go 255 miles. What are their speeds?

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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

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Reduce the following rational expression to lowest terms. Reduce the following rational expression to lowest terms.

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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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Perform the indicated operation. Perform the indicated operation.

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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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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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One car travels 400 miles in the same amount of time it takes a second car traveling 10 miles per hour slower than the first to go 350 miles. What are the speeds of the cars?

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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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One number is 3 times as large as another. The sum of their reciprocals is One number is 3 times as large as another. The sum of their reciprocals is   . Find the two numbers. . Find the two numbers.

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