Exam 7: Rational Expressions and Equations

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Solve the problem and answer the question. -A barge takes 6 hours to move (at a constant rate) downstream for 60 miles, helped by a current of 2 miles per hour. If the barge's engines are set at the same pace, find the time of its return trip against the current.

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Solve the problem and answer the question. -One conveyor belt can move 1000 boxes in 11 minutes. Another can move 1000 boxes in 8 minutes. If another conveyor belt is added and all three are used, the boxes are moved in 3 minutes. How long would it take the Third conveyor belt alone to do the same job?

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Solve the problem and answer the question. -Glenn and Paula want to dig an irrigation channel for their garden. Together it takes them 1.6 hours to dig an appropriately sized irrigation channel. If Paula can dig the channel by herself in 2.7 hours, how long would it Take Glenn to dig the channel by himself? (Round your answer to the nearest tenth of an hour, if necessary.)

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Solve the problem and answer the question. -A boat moves 6 kilometers upstream in the same amount of time it moves 17 kilometers downstream. If the rate of the current is 5 kilometers per hour (kph), find the rate of the boat in still water.

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Find the least common denominator for the expression. -Find the least common denominator for the expression. -

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Find the least common denominator for the expression. -Find the least common denominator for the expression. -

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Find the quantity indicated. -g varies directly as f. Find f when g = 81 and k = 9.

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Find the least common denominator for the expression. -Find the least common denominator for the expression. -

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Simplify. -Simplify. -

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Solve the problem and answer the question. -A baker can decorate the day's cookie supply four times as fast as his new assistant. If they decorate all the cookies working together in 28 minutes, how long would it take for each of them to decorate the cookies Working individually?

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Multiply. -Multiply. -

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Add or subtract. -Add or subtract. -

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Solve the equation and check your solution. -Solve the equation and check your solution. -

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Add or subtract. -Add or subtract. -

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Solve the equation and check your solution. -Solve the equation and check your solution. -

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Solve the problem and answer the question. -A grocery store has a display of cans in the shape of a trapezoid as shown. There are a total of 30 cans in the display. If the sum of the number of cans in the top row and the bottom row is Solve the problem and answer the question. -A grocery store has a display of cans in the shape of a trapezoid as shown. There are a total of 30 cans in the display. If the sum of the number of cans in the top row and the bottom row is   times the number of cans in The height of the display, determine the total number of cans in the top and bottom rows.  times the number of cans in The height of the display, determine the total number of cans in the top and bottom rows. Solve the problem and answer the question. -A grocery store has a display of cans in the shape of a trapezoid as shown. There are a total of 30 cans in the display. If the sum of the number of cans in the top row and the bottom row is   times the number of cans in The height of the display, determine the total number of cans in the top and bottom rows.

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Solve the equation and check your solution. -Solve the equation and check your solution. -

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Find the least common denominator for the expression. -Find the least common denominator for the expression. -

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Simplify. -Simplify. -

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Add or subtract. -Add or subtract. -

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