Exam 1: Algebra, Mathematical Models, and Problem Solving

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Find the absolute value. - 7| 7 |

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D

Solve the equation. - 7x(7x+5)=10- 7 x - ( 7 x + 5 ) = - 10

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Solve the equation. - 7x10=53x- 7 x - 10 = 5 - 3 x

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By definition, an "and" statement is true only when the statements before and after the "and" connective are both true. Use this definition to determine whether the given statement is true or false. - (1066+1766){xx is a whole number } and the value of 9x2(x+22)9x2(22+x), for x=100 is 0\left( \frac { 10 } { 66 } + \frac { 17 } { 66 } \right) \in \{ x \mid x \text { is a whole number } \} \text { and the value of } 9 x ^ { 2 } ( x + 22 ) - 9 x ^ { 2 } ( 22 + x ) \text {, for } x = 100 \text { is } 0 \text {. }

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Write the English phrase as an algebraic expression. Let x represent the number. -89 less than a number

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Express the interval in set builder notation and graph the interval on a number line. - [7,)[ - 7 , \infty )  Express the interval in set builder notation and graph the interval on a number line. - [ - 7 , \infty )

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By definition, an "and" statement is true only when the statements before and after the "and" connective are both true. Use this definition to determine whether the given statement is true or false. -  Three times the sum of a number and eight is represented by 3(x+8) and 0{xx is a natural number }\text { Three times the sum of a number and eight is represented by } 3 ( x + 8 ) \text { and } 0 \in \{ x \mid x \text { is a natural number } \}

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Express the interval in set builder notation and graph the interval on a number line. - (4,7)( - 4,7 )  Express the interval in set builder notation and graph the interval on a number line. - ( - 4,7 )

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Use the indicated property to write an algebraic expression equivalent to the given expression. - 8(7n+4)8 ( 7 n + 4 ) ; distributive

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Plot the point in the rectangular coordinate system. -(1,3) Plot the point in the rectangular coordinate system. -(1,3)     Plot the point in the rectangular coordinate system. -(1,3)

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Does the graph of Y2 pass through the origin?

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Use the order of operations to simplify the expression. -72 - 7 ·5 + 266 ÷ (-19)

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Solve. -Forensic scientists use the lengths of certain bones to calculate the height of a person. When the femur (the bone from the knee to the hip socket) is used, the following formula applies for men: h = 69.09 + 2.24f, where h is the height and f is the length of the femur (both in centimeters). Find the height of a man with a femur measuring 51 centimeters.

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Express the interval in set builder notation and graph the interval on a number line. - (6,)( - 6 , \infty )  Express the interval in set builder notation and graph the interval on a number line. - ( - 6 , \infty )

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Determine whether the statement is true or false. -Some integers are not positive.

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Multiply as indicated. -45 ·5

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Add as indicated. --16 + (-17)

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

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By definition, an "and" statement is true only when the statements before and after the "and" connective are both true. Use this definition to determine whether the given statement is true or false. -  Five times the difference of a number and nine is represented by 5x9 and π{xx is an irrational number \text { Five times the difference of a number and nine is represented by } 5 x - 9 \text { and } \pi \in \{ x \mid x \text { is an irrational number }

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By definition, an "and" statement is true only when the statements before and after the "and" connective are both true. Use this definition to determine whether the given statement is true or false. - 27{1,2,3,} and {1}{1,2,3,4}27 \in \{ 1,2,3 , \ldots \} \text { and } \{ 1 \} \in \{ 1,2,3,4 \}

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