Exam 7: Rational Expressions and Equations

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Simplify. -Simplify. -

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Write the word or phrase that best completes each statement or answers the question. -Without multiplying by the least common denominator and solving, explain why the rational equation Write the word or phrase that best completes each statement or answers the question. -Without multiplying by the least common denominator and solving, explain why the rational equation   has no solution. (Hint: Examine both numerators and denominators carefully.) has no solution. (Hint: Examine both numerators and denominators carefully.)

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Add. Simplify, if possible. -Add. Simplify, if possible. -

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Subtract. Simplify, if possible. -Subtract. Simplify, if possible. -

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Multiply. Do not simplify. -Multiply. Do not simplify. -

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Solve the equation. -Solve the equation. -

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Subtract. Simplify, if possible. -Subtract. Simplify, if possible. -

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Solve the equation. -Solve the equation. -

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Solve the equation. -Solve the equation. -

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Perform the indicated operation. Simplify, if possible. -Perform the indicated operation. Simplify, if possible. -

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Write the word or phrase that best completes each statement or answers the question. -Explain in your own words how to multiply rational expressions. (How would you explain this to a student in this class who was absent from class?).

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Add. Simplify, if possible. -Add. Simplify, if possible. -

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Find the LCM. - Find the LCM. -

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Find the LCM. -500, 900, 450

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Find the LCM. -54, 12

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Multiply. Do not simplify. -Multiply. Do not simplify. -

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Solve. -The volume V of a gas varies inversely as the pressure P on it. The volume of a gas is 180 Solve. -The volume V of a gas varies inversely as the pressure P on it. The volume of a gas is 180   under a pressure of 18   What will be its volume under a pressure of 30   ? under a pressure of 18 Solve. -The volume V of a gas varies inversely as the pressure P on it. The volume of a gas is 180   under a pressure of 18   What will be its volume under a pressure of 30   ? What will be its volume under a pressure of 30 Solve. -The volume V of a gas varies inversely as the pressure P on it. The volume of a gas is 180   under a pressure of 18   What will be its volume under a pressure of 30   ? ?

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For the pair of similar triangles, find the length of the indicated side. -For the pair of similar triangles, find the length of the indicated side. -   In the upper triangle, the shortest side has length 12, and the middle side has length 18. In the lower triangle, the shortest side has length 8, the middle side has length 12, and the longest side has length 16. Find the length, x, of The longest side of the upper triangle. In the upper triangle, the shortest side has length 12, and the middle side has length 18. In the lower triangle, the shortest side has length 8, the middle side has length 12, and the longest side has length 16. Find the length, x, of The longest side of the upper triangle.

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Find the LCM. -Find the LCM. -

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Divide and simplify. -Divide and simplify. -

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