Exam 1: Introduction to Real Numbers and Algebraic Expressions

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Divide, if possible. - 639\frac{-63}{9}

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Divide. - 1.50.03\frac{1.5}{0.03}

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Insert < or >> to write a true statement. -0-------------- -4

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Round to the requested decimal place. -1.258 (nearest hundredth)

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Write the fraction in decimal notation. - 1912\frac{19}{12}

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Simplify. - 60xy40xy\frac{60 x y}{40 x y}

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Substitute to find the value of the expression. -Mary earns three times as much per week as Maureen. If xx represents the amount that Maureen earns per week, then 3x3 x represents the amount that Mary earns per week. How much does Mary earn per week if Maureen earns $345\$ 345 per week?

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Solve the problem. -A machinist has flat metal plate that is 6.468 cm6.468 \mathrm{~cm} thick. He laminates the metal plate with four more layers that are 3.964 cm,3.530 cm,3.156 cm3.964 \mathrm{~cm}, 3.530 \mathrm{~cm}, 3.156 \mathrm{~cm} , and 4.543 cm4.543 \mathrm{~cm} thick. He then grinds off 4.521 cm4.521 \mathrm{~cm} from the top of the plate, then 1.215 cm1.215 \mathrm{~cm} more, and finally another 4.643 cm4.643 \mathrm{~cm} . Find the new thickness of the plate.

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Multiply. - (1)21(-1)^{21}

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Multiply. - 2.7(18.5)-2.7 \cdot(-18.5)

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Provide an appropriate response. -Choose the expression that is equivalent to the following: (8x+5y)(2y3)(8 x+5 y)\left(2 y^{3}\right)

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Multiply. - (83)(52)\left(-\frac{8}{3}\right)\left(\frac{5}{2}\right)

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Substitute to find the value of the expression. -Bill takes four times as long to do a job as Jose. Suppose t represents the time it takes Bill to do the job. Then t/4\mathrm{t} / 4 represents the time it takes Jose. How long does it take Jose if it takes Bill 58 minutes?

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Find the absolute value. - 8|-8|

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Convert to decimal notation. - 80%80 \%

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Perform the indicated operation and, if possible, simplify. - 7979\frac{7}{9} \cdot \frac{7}{9}

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Evaluate - (-x) for the given value of x. - x=123\mathrm{x}=123

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Evaluate x-x for the given value of xx . - x=3.73x=-3.73

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Add. Do not use a number line except as a check. - 2+22+-2

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Add. Do not use a number line except as a check. - 56+23-\frac{5}{6}+\frac{2}{3}

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