Exam 1: Introduction to Real Numbers and Algebraic Expressions

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Convert to decimal notation. - 3061000\frac{306}{1000}

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State the real number that corresponds to the situation. -In one state, the highest point is 3295 feet above sea level.

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Solve the problem. -In Redmond, about 29%29 \% of commuters ride bicycles to work. Express this percent as a decimal.

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List the terms of the expression. - 7+7 m+7mn-7+7 \mathrm{~m}+7 \mathrm{mn}

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Convert to decimal notation. - 1732\frac{17}{32}

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Translate the phrase to an algebraic expression. -Eight more than xx

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Multiply. - (47)(47)\left(-\frac{4}{7}\right)\left(-\frac{4}{7}\right)

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Perform the indicated operation and, if possible, simplify. - 172325\frac{17}{23}-\frac{2}{5}

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Convert to percent notation. -0.00987

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Solve the problem. -Robert has built a mechanical model solar system with three balls representing planets at the ends of rods attached to the center representing the sun. The planets are aligned when he turns on the motor. The innermost planet makes a revolution in 12 seconds, the middle planet makes a revolution in 30 seconds, and the outermost planet makes a revolution in 42 seconds. After how many seconds will the planets be aligned again?

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Simplify. - 5xy6y\frac{5 x y}{6 y}

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Round to the requested decimal place. -0.000139 (nearest hundred- thousandth)

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Multiply. - 3(3x+7y+4)3(3 x+7 y+4)

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Find an equivalent expression without parentheses. --(7 x-4)

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Simplify. - (8+3)[7+(8+7)](8+3)[7+(8+7)]

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Subtract. - 27121\frac{2}{7}-\frac{1}{21}

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Convert to percent notation. -0.409

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Collect like terms. - 9z(3z)-9 z-(-3 z)

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Solve the problem. -Annica owes $609.31\$ 609.31 on her charge card. She returns for credit 1.s costing $48.04\$ 48.04 and $34.06\$ 34.06 . She makes a purchase for $34.18\$ 34.18 and additional purchases of $48.77,$195.68\$ 48.77, \$ 195.68 , and $160.48\$ 160.48 . She then makes a payment of $622.32\$ 622.32 . Find the amount she now owes.

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Translate to an algebraic expression. -Leanne had $8\$ 8 remaining after paying y dollars for a dinner and a movie. How much did she have at the start of the evening?

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