Exam 1: Algebra, Mathematical Models, and Problem Solving

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Plot the point in the rectangular coordinate system. -(-1,4) Plot the point in the rectangular coordinate system. -(-1,4)

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Express the interval in set builder notation and graph the interval on a number line. - (,2.5)( - \infty , 2.5 )  Express the interval in set builder notation and graph the interval on a number line. - ( - \infty , 2.5 )

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Subtract as indicated. --2 - 5

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Find the absolute value. - 133- \left| - \frac { 13 } { 3 } \right|

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Evaluate the expression for the given values. - (x+3y)2, for x=2,y=4( x + 3 y ) ^ { 2 } , \text { for } x = 2 , y = 4

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Use the indicated property to write an algebraic expression equivalent to the given expression. --13 · x; commutative of multiplication

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Evaluate. - (95)3- \left( - \frac { 9 } { 5 } \right) ^ { 3 }

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Subtract as indicated. --6.4 - 9.7

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

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Match the correct viewing rectangle dimensions with the figure. -Match the correct viewing rectangle dimensions with the figure. -

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Divide as indicated or state that the division is undefined. - 644\frac { 64 } { - 4 }

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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. -The quotient of a number and the sum of the number and 7 is represented by xx+7\frac { x } { x + 7 } and 2{xx\sqrt { 2 } \notin \{ x \mid x is a rational number }\}

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Divide as indicated or state that the division is undefined. - 9.40- \frac { 9.4 } { 0 }

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Solve the problem. -Paul has $20,000 to invest. He puts x dollars in a safe government-insured certificate of deposit paying 5% per year. He invests the remainder of the money in noninsured corporate bonds paying 12% per year. His total interest earned at the end of the year is given by the algebraic expression 0.05x + 0.12(20,000 - x). Determine the amount of interest earned at the end of the year if he invests $6000 in the government-insured certificate of deposit.

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Use the roster method to list the elements in the set. -{x | x is an integer between 5 and 9}

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The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.   -At what time was the temperature 73°? -At what time was the temperature 73°?

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Find -x for the given value of x. - x=21x = 21

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Add as indicated. --5.4 + 5.2

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Determine whether the statement is true or false. -Every irrational number is a rational number.

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Use the roster method to list the elements in the set. -{x | x is a natural number multiple of 5}

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