Exam 6: Rational Expressions and Equations; Ratio and Proportion

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Perform the operations. Perform the operations.

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Perform the indicated operation and express your answer in simplest form. Perform the indicated operation and express your answer in simplest form.

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Perform the indicated operation and simplify. Perform the indicated operation and simplify.

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Use similar triangles to help solve the problem. An airplane ascends 160 feet as it flies a horizontal distance of 1,000 feet. How much altitude will it gain as it flies a horizontal distance of 1 mile? ( Hint: 5,280 feet = 1 mile.) Round your answer to the nearest integer. Use similar triangles to help solve the problem. An airplane ascends 160 feet as it flies a horizontal distance of 1,000 feet. How much altitude will it gain as it flies a horizontal distance of 1 mile? ( Hint: 5,280 feet = 1 mile.) Round your answer to the nearest integer.

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Perform the indicated division and express your answer in simplest form. Perform the indicated division and express your answer in simplest form.

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Solve the proportion for the variable. Solve the proportion for the variable.

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Write the rate as a unit rate. Write the rate as a unit rate.   presents for   children presents for Write the rate as a unit rate.   presents for   children children

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Simplify this rational expression. Assume the denominator never equals zero. Simplify this rational expression. Assume the denominator never equals zero.

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Is the expression a proportion? Is the expression a proportion?

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Write the expression in lowest terms. If the expression is already in lowest terms, so indicate. Assume that the denominator does not equal zero. Write the expression in lowest terms. If the expression is already in lowest terms, so indicate. Assume that the denominator does not equal zero.

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Ricardo worked for 9 hours to help insulate a hockey arena. For his work, he received $337.50. Find his hourly rate of pay.

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Perform the division. Perform the division.

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A recipe for chocolate chip cookies calls for A recipe for chocolate chip cookies calls for   cups of flour and 1 cup of sugar. The recipe will make   dozen cookies. How many cups of flour will be needed to make   dozen cookies? Round your answer to the nearest fourth of a cup. cups of flour and 1 cup of sugar. The recipe will make A recipe for chocolate chip cookies calls for   cups of flour and 1 cup of sugar. The recipe will make   dozen cookies. How many cups of flour will be needed to make   dozen cookies? Round your answer to the nearest fourth of a cup. dozen cookies. How many cups of flour will be needed to make A recipe for chocolate chip cookies calls for   cups of flour and 1 cup of sugar. The recipe will make   dozen cookies. How many cups of flour will be needed to make   dozen cookies? Round your answer to the nearest fourth of a cup. dozen cookies? Round your answer to the nearest fourth of a cup.

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Write the expression in lowest terms. If the expression is already in lowest terms, so indicate. Assume that the denominator does not equal zero. Write the expression in lowest terms. If the expression is already in lowest terms, so indicate. Assume that the denominator does not equal zero.

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Write each rate as a unit rate. Write each rate as a unit rate.   people living in   square people living in Write each rate as a unit rate.   people living in   square square

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Solve the expression. Solve the expression.

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Simplify the complex fraction. Simplify the complex fraction.

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Add or subtract the rational expressions. Be sure to express your answer in simplest form. Add or subtract the rational expressions. Be sure to express your answer in simplest form.

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Subtract as indicated and express your answer in simplest form. Subtract as indicated and express your answer in simplest form.

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Write the ratio as a fraction in simplest form. 7 to 28

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