Exam 7: Rational Expressions

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Simplify the complex fraction. Simplify the complex fraction.

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If 100 grams of ice cream contains 13 grams of fat, how much fat is in 450 grams of ice cream? __________ grams

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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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Travis paddles his kayak in the harbor at Morro Bay, California, where the incoming tide has caused a current in the water. From the point where he enters the water, he paddles 2 miles against the current, then turns around and paddles 2 miles back to where he started. His average speed when paddling with the current is 2 miles per hour faster than his speed against the current. If the complete trip (out and back)takes him 1.5 hours, find his average speed when he paddles against the current.

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Simplify the complex fraction. Simplify the complex fraction.

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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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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.

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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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Solve the following proportion. Solve the following proportion.   x = __________ x = __________

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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.

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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 48.   = __________ varies inversely with If   varies inversely with   and if   when   find   when   is 48.   = __________ and if If   varies inversely with   and if   when   find   when   is 48.   = __________ when If   varies inversely with   and if   when   find   when   is 48.   = __________ find If   varies inversely with   and if   when   find   when   is 48.   = __________ when If   varies inversely with   and if   when   find   when   is 48.   = __________ is 48. If   varies inversely with   and if   when   find   when   is 48.   = __________ = __________

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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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If If   varies inversely with   and if   when   find   when   is 32. varies inversely with If   varies inversely with   and if   when   find   when   is 32. and if If   varies inversely with   and if   when   find   when   is 32. when If   varies inversely with   and if   when   find   when   is 32. find If   varies inversely with   and if   when   find   when   is 32. when If   varies inversely with   and if   when   find   when   is 32. is 32.

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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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If If   is added to twice the reciprocal of a number, the result is 2. Find the number. is added to twice the reciprocal of a number, the result is 2. Find the number.

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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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