Exam 8: Rational Expressions

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Divide: Divide:

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Simplify: Simplify:

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Simplify: Simplify:

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Simplify: Simplify:

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Write each of the following fractions in terms of the LCM of the denominators: Write each of the following fractions in terms of the LCM of the denominators:

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Divide: Divide:

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Divide: Divide:

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Triangles ABC and DEF are similar with DE = 7. Triangles ABC and DEF are similar with DE = 7.   Find the perimeter of triangle DEF. Round your answer to the nearest hundredth. Find the perimeter of triangle DEF. Round your answer to the nearest hundredth.

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Solve: Solve:

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Solve for y: Solve for y:

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A simple syrup used in making some desserts requires 2 c of sugar for every 2/3 c of boiling water. At this rate, how many cups of sugar are required for 2 c boiling water?

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Commuting from work to home, a lab technician traveled 10 mi at a constant rate through congested traffic. On reaching the expressway, the technician's speed increased by 22 mph. An additional 20 mi was traveled at the increased speed. The total time for the trip was 1 h. Find the rate of travel through the congested traffic.

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Multiply: Multiply:

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Simplify: Simplify:

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An exit poll survey showed that 2 out of every 6 voters cast a ballot in favor of an amendment to a city charter. At this rate, how many voters voted in favor of the amendment if 7260 people voted?

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Triangles ABC and DEF are similar with AB = 5 and DE = 9. Triangles ABC and DEF are similar with AB = 5 and DE = 9.   The height of triangle DEF is 13. Find the area of triangle ABC. Round your answer to the nearest tenth. The height of triangle DEF is 13. Find the area of triangle ABC. Round your answer to the nearest tenth.

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Solve: Solve:

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Solve the formula for the given variable. Solve the formula for the given variable.   (Geometry) (Geometry)

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Multiply: Multiply:

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Multiply: Multiply:

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