Exam 6: Rational Expressions

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Find any real numbers x which make Find any real numbers x which make   undefined. undefined.

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Perform the division. Write the answer without using negative exponents. Perform the division. Write the answer without using negative exponents.

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A board 5 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board. __________ feet

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Perform the indicated operation. Simplify the answer if possible. Perform the indicated operation. Simplify the answer if possible.

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Perform the operations. Perform the operations.

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Solve the proportion for the variable. Solve the proportion for the variable.   y = __________ y = __________

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Solve the equation and check the solution. Solve the equation and check the solution.

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Determine the domain of the given function. Determine the domain of the given function.

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Use synthetic division to perform the division. Use synthetic division to perform the division.

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Perform the operation and simplify the result when possible. Perform the operation and simplify the result when possible.

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Perform the division: Perform the division:   by   . by Perform the division:   by   . .

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A model railroad engine is 2 inches long. If the scale is 168 feet to 1 foot, how long is the real engine?

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Express the sentence as a formula. Assume that Express the sentence as a formula. Assume that   is a constant of variation. The distance   that a body falls varies directly with the square of the time   . is a constant of variation. The distance Express the sentence as a formula. Assume that   is a constant of variation. The distance   that a body falls varies directly with the square of the time   . that a body falls varies directly with the square of the time Express the sentence as a formula. Assume that   is a constant of variation. The distance   that a body falls varies directly with the square of the time   . .

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Perform the indicated operation and simplify. Perform the indicated operation and simplify.

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Use an algebraic approach to solve the problem. If the complement of an angle is 9o less than one-fourth of its supplement, find the measure of the angle.

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Perform the division: Perform the division:   by   . by Perform the division:   by   . .

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Perform the indicated operation and simplify. Perform the indicated operation and simplify.

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Solve the expression. Solve the expression.

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Express the sentence as a formula. B varies directly with m and inversely with n .

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Perform the division. Perform the division.

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