Exam 1: Real Numbers and Algebraic Expressions

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List all the elements of B that belong to the given set. - B= {4,6,15,0,12,2,5.5,4}\left\{ 4 , \sqrt { 6 } , - 15,0 , \frac { 1 } { 2 } , - 2,5.5 , \sqrt { 4 } \right\} Whole numbers

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Simplify. Write the answer using positive exponents only. - (6x5y2z42xy2z4)3\left( \frac { 6 x ^ { - 5 } y ^ { - 2 } z ^ { 4 } } { 2 x y ^ { - 2 } z ^ { - 4 } } \right) ^ { - 3 }

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Simplify the expression. - 8(86)+888(43)\frac { 8 \cdot ( 8 - 6 ) + 8 \cdot 8 } { 8 \cdot ( 4 - 3 ) }

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Simplify and write with positive exponents only. - 1m5\frac { 1 } { m ^ { - 5 } }

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Write the sentence as an equation. -Eight times x is 12 more than three times x .

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Find the root. - 25\sqrt { 25 }

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Simplify. - 23x1314x+34\frac { 2 } { 3 } x - \frac { 1 } { 3 } - \frac { 1 } { 4 } x + \frac { 3 } { 4 }

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Evaluate the expression. - (11x)0( - 11 x ) ^ { 0 }

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Simplify. - 9 x-2 x-x-14

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Find the root. - 144400\sqrt { \frac { 144 } { 400 } }

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Simplify. Write the answer using positive exponents only. - (9x3y33xy3)2\left( \frac { 9 x ^ { - 3 } y ^ { 3 } } { 3 x y ^ { - 3 } } \right) ^ { - 2 }

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Write the number in standard notation. - 9.0446×1079.0446 \times 10 ^ { - 7 }

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Add or subtract as indicated. --11+(-22)-10

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Evaluate the expression. - (2x+6)0( 2 x + 6 ) ^ { 0 }

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Write the phrase as a variable expression. Use x to represent "a number." -111 less a number

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Determine whether the statement is true or false. -All natural numbers are integers.

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Write the number in standard notation. - 6.61×1066.61 \times 10 ^ { 6 }

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Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - (x2tx)4\left( \frac { x ^ { 2 } t } { x } \right) ^ { 4 }

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Place \in Or \notin in the space provided to make the statement true. - 0 _____{4,8,12, ... }

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Simplify. - -12-(2 z-2)

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