Exam 8: Rational Expressions

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Simplify: Simplify:

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Solve: Solve:

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Solve for y: Solve for y:

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Simplify: Simplify:

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The president of a company traveled 1700 mi by jet and 310 mi on a prop plane. The rate of the jet was four times the rate of the prop plane. The entire trip took a total of 5 h. Find the rate of the jet plane.

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Simplify: Simplify:

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Simplify: Simplify:

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Triangles ABC and DEF are similar with CB = 5 and FE = 11. Triangles ABC and DEF are similar with CB = 5 and FE = 11.   The height of triangle DEF is 14. Find the height of triangle ABC. Round your answer to the nearest tenth. The height of triangle DEF is 14. Find the height of triangle ABC. Round your answer to the nearest tenth.

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Write the fractions below in terms of the LCM of the denominators. Write the fractions below in terms of the LCM of the denominators.

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Solve: Solve:

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Two machines that fill cereal boxes work at the same rate. After they work for 5 h, one machine breaks down. The second machine requires 10 more hours to finish filling the boxes. How long would it have taken one of the machines, working alone, to fill the boxes?

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Divide: Divide:

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Simplify: Simplify:

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Simplify: Simplify:

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Multiply: Multiply:

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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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Solve for x: Solve for x:

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