Exam 1: Real Numbers and Algebraic Expressions

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Solve. Write the answer in scientific notation. -If the mass of an object is 5.84598 x 10-2 tons and its density is 8.98 x 10-6 tons per cubic foot, find the volume of this object. (Use the formula D= MV\frac { \mathrm { M } } { \mathrm { V } } .)

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Simplify. - 5 x+2-3x

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Simplify. - 732(159)3+92\frac { \sqrt { 7 ^ { 3 } - 2 ( 159 ) } } { 3 + 9 ^ { 2 } }

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Write the reciprocal (or multiplicative inverse) of the number if it exists. - 57\frac { 5 } { 7 }

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Tell whether the statement is true or false. -Some real numbers are integers.

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Find the value of the expression. - (12)3\left( - \frac { 1 } { 2 } \right) ^ { 3 }

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Fill in the blank with one of the words or phrases listed below. distributive absolute value inequality algebraic expression real opposite commutative exponent recinrocals associative whole variable - A+B=B+A by the _______ property of addition.

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Write the sentence as an equation. -The product of three-fourths and x is 42 .

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Write the sentence as an equation. -Four times x amounts to 28 .

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Use a calculator to approximate the square root. Round to three decimal places. - 5\sqrt { 5 }

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Provide an appropriate response. -Find the reciprocal and opposite of - 57\frac { 5 } { 7 } .

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Simplify. Write the answer using positive exponents only. - (5x6y6)2(x8y1)3\left( 5 x ^ { 6 } y ^ { 6 } \right) ^ { 2 } \left( x ^ { 8 } y ^ { 1 } \right) ^ { - 3 }

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Insert <,>, or =< , > \text {, or } = to in the space provided to form a true statement. --6 ______ -5

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Simplify. - 5ab-2ab+3

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Use the product rule to simplify the expression. - m3m5m7m ^ { 3 } \cdot m ^ { 5 } \cdot m ^ { 7 }

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Simplify. -7x - 3(6 - x) + 26

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Fill in the blank with one of the words or phrases listed below. distributive absolute value inequality algebraic expression real opposite commutative exponent recinrocals associative whole variable -If a is not 0 then a and 1a\frac { 1 } { \mathrm { a } } are called

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Simplify. Write the answer using positive exponents only. - (2x19y1)3\left( \frac { 2 x ^ { - 1 } } { 9 y ^ { - 1 } } \right) ^ { - 3 }

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Write the number in standard notation. - 7.24×1047.24 \times 10 ^ { - 4 }

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Write the phrase as a variable expression. Use x to represent "a number." -The difference of eight and a number

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