Exam 1: Variables, Real Numbers, and Mathematical Models

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Write a positive or negative integer that describes the situation. -The team scored 15 points.

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Evaluate the algebraic expression for the given value(s). - 24x14y, given x=4,y=7\frac { 24 } { x } - \frac { 14 } { y } , \text { given } x = 4 , y = 7

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List all the elements of B that are elements of the given set. - B={19,8,21,0,09,9}B = \left\{ 19 , \sqrt { 8 } , - 21,0 , \frac { 0 } { 9 } , \sqrt { 9 } \right\} Natural numbers

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Write a positive or negative integer that describes the situation. -$486 profit

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Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - 5712\frac { 5 } { 7 } - \frac { 1 } { 2 }

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Insert either < or > in the area between the pair of numbers to make a true statement. - 222 \underline{\quad\quad}-2

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Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - 45320\frac { 4 } { 5 } - \frac { 3 } { 20 }

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Determine if the given value is a solution to the equation. -4m + 8 = 42; 8

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Evaluate the algebraic expression for the given value(s). -5(x + y), given x = 6, y = 4

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Evaluate the algebraic expression for the given value(s). - 10x+205x, given 4\frac { 10 x + 20 } { 5 x } , \text { given } 4

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Express the rational number as a decimal. - 1258\frac { 125 } { 8 }

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List all the elements of B that are elements of the given set. - B={12,5,6,0,03,16,20,0.22}B = \left\{ 12 , \sqrt { 5 } , - 6,0 , \frac { 0 } { 3 } , \sqrt { 16 } , \frac { - 2 } { 0 } , 0.22 \right\} Rational numbers

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Solve the problem. -  Use the formula C=59( F32) to convert 257F to degrees Celsius. \text { Use the formula } \mathrm { C } = \frac { 5 } { 9 } ( \mathrm {~F} - 32 ) \text { to convert } 257 ^ { \circ } \mathrm { F } \text { to degrees Celsius. }

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Write the English phrase as an algebraic expression. Let the variable x represent the number. -Six times a number, decreased by fourteen

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Determine if the given value is a solution to the equation. -60 - y = 10; 60

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Write the fraction in lowest terms. - 104147\frac { 104 } { 147 }

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Express the rational number as a decimal. - 1415\frac { 14 } { 15 }

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Solve the problem. -  Use the formula F=95C+32 to convert 135C to degrees Fahrenheit. \text { Use the formula } \mathrm { F } = \frac { 9 } { 5 } \mathrm { C } + 32 \text { to convert } 135 ^ { \circ } \mathrm { C } \text { to degrees Fahrenheit. }

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Determine if the given value is a solution to the equation. - r4=5;15\frac { r } { 4 } = 5 ; 15

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Evaluate the algebraic expression for the given value(s). - 3x, given x=43 x , \text { given } x = 4

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