Exam 7: Rational Expressions

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A boat travels 39 miles up the river in the same amount of time it takes to travel 51 miles down the same river. If the current is 2 miles per hour, what is the speed of the boat in still water? d r t Upstream Downstream

(Multiple Choice)
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Suppose Suppose   varies directly as the square of   . If   when   find   when   is   . varies directly as the square of Suppose   varies directly as the square of   . If   when   find   when   is   . . If Suppose   varies directly as the square of   . If   when   find   when   is   . when Suppose   varies directly as the square of   . If   when   find   when   is   . find Suppose   varies directly as the square of   . If   when   find   when   is   . when Suppose   varies directly as the square of   . If   when   find   when   is   . is Suppose   varies directly as the square of   . If   when   find   when   is   . .

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If If   varies directly with   and if   when   find   when   is   .   = __________ varies directly with If   varies directly with   and if   when   find   when   is   .   = __________ and if If   varies directly with   and if   when   find   when   is   .   = __________ when If   varies directly with   and if   when   find   when   is   .   = __________ find If   varies directly with   and if   when   find   when   is   .   = __________ when If   varies directly with   and if   when   find   when   is   .   = __________ is If   varies directly with   and if   when   find   when   is   .   = __________ . If   varies directly with   and if   when   find   when   is   .   = __________ = __________

(Short Answer)
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One car travels 490 miles in the same amount of time it takes a second car traveling 5 miles per hour slower than the first to go 455 miles. What are the speeds of the cars? _____ , _____ miles per hour

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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 If   varies inversely with   and if   when   find   when   is 21. varies inversely with If   varies inversely with   and if   when   find   when   is 21. and if If   varies inversely with   and if   when   find   when   is 21. when If   varies inversely with   and if   when   find   when   is 21. find If   varies inversely with   and if   when   find   when   is 21. when If   varies inversely with   and if   when   find   when   is 21. is 21.

(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.

(Short Answer)
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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.   a = __________ a = __________

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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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Simplify the complex fraction. Simplify the complex fraction.

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Complete the following table. Complete the following table.

(Multiple Choice)
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The tension t in a spring varies directly with the distance d the spring is stretched. If the tension is 41 pounds when the spring is stretched 7 inches, find the tension when the spring is stretched twice as far. __________ pounds

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Perform the indicated operation. Perform the indicated operation.

(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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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.

(Essay)
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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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A water tank can be filled in 12 hours by an inlet pipe and emptied in 30 hours by an outlet pipe. How long will it take to fill the tank if both pipes are left open?

(Multiple Choice)
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Assume Assume   varies inversely with the square of   . If   when   find   when   is   .   = __________ varies inversely with the square of Assume   varies inversely with the square of   . If   when   find   when   is   .   = __________ . If Assume   varies inversely with the square of   . If   when   find   when   is   .   = __________ when Assume   varies inversely with the square of   . If   when   find   when   is   .   = __________ find Assume   varies inversely with the square of   . If   when   find   when   is   .   = __________ when Assume   varies inversely with the square of   . If   when   find   when   is   .   = __________ is Assume   varies inversely with the square of   . If   when   find   when   is   .   = __________ . Assume   varies inversely with the square of   . If   when   find   when   is   .   = __________ = __________

(Short Answer)
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