Exam 1: The Basics

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Perform the indicated operation and reduce to lowest terms. Assume the variable represents a nonzero number. Perform the indicated operation and reduce to lowest terms. Assume the variable represents a nonzero number.

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Perform the indicated operation. Perform the indicated operation.

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Divide and reduce the answer to lowest terms. Divide and reduce the answer to lowest terms.

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Apply the distributive property to the expression, and then simplify the result. Apply the distributive property to the expression, and then simplify the result.

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Apply the distributive property. Simplify when possible. Apply the distributive property. Simplify when possible.

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Find the fourth term in the sequence. Find the fourth term in the sequence.

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Subtract. Subtract.

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Simplify the expression. Simplify the expression.

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Subtract. Subtract.

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Recall that the word difference indicates subtraction. The difference of a and b is a - b , in that order. Write a numerical expression that is equivalent to the following phrase, and then simplify. The difference of 5 and 8.

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Work the following problem. Work the following problem.

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While getting dressed for work, a man puts on his coat and puts on his hat. Are the two statements "put on your coat" and "put on your hat" commutative?

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Perform the indicated operations. Simplify as much as possible. Perform the indicated operations. Simplify as much as possible.   If the expression is undefined, answer undefined . If the expression is undefined, answer undefined .

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Use the associative property to rewrite the expression, and then simplify the result. Use the associative property to rewrite the expression, and then simplify the result.

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If the quotient of -6 and 2 is decreased by 6, what number results?

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Work the following problem using the rule for addition of real numbers. Work the following problem using the rule for addition of real numbers.

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Apply the distributive property, and then simplify the result. Apply the distributive property, and then simplify the result.

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Use the associative property to rewrite the expression, and then simplify the result. Use the associative property to rewrite the expression, and then simplify the result.

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Work the following problem using the rule for addition of real numbers. Work the following problem using the rule for addition of real numbers.

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Simplify the expression. Simplify the expression.

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