Exam 1: Real Numbers and Variables

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Add. -40 + 24

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Sally will pay $10,560 on her student loan over the next 4 years. If $220 is automatically deducted from her bank account each month to pay off the loan, how much does she still owe after one year?

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Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational, irrational, real. - 37- \frac { 3 } { 7 }

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Simplify the expression, and combine like terms. - 5(3a+6b)(4a2b)5 ( 3 a + 6 b ) - ( 4 a - 2 b )

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Evaluate. - (0.7)2( 0.7 ) ^ { 2 }

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Solve the problem. - (2m+5n9p)- ( - 2 m + 5 n - 9 p )

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Solve the problem. -On part of a scenic tour of underground caves, Dave and Neil started at an elevation of 41 feet below sea level. They then rose 22 feet. Represent their distance below sea level as a signed integer.

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Find the absolute value - 0.012| - 0.012 |

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Add. --17.4 + (-15.2)

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Solve the problem. --5(2)(2)(-3)(-1)

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Solve the problem. -The price of a desk was 5y. During a sale, the price was reduced by $150. The store sold 4x desks during the first week of the sale. Write an expression with parentheses to represent the value of the desks sold during the first Week. Then use the distributive property to write the expression without parentheses.

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Evaluate. - 525 ^ { 2 }

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Add. --19 + 10

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Combine the numbers. -8.6 - (- 1.6)+ 1.8

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Solve the problem. - (135)(73)\left( \frac { 13 } { 5 } \right) \left( - \frac { 7 } { 3 } \right)

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Solve the problem. -(2)(-5)

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Solve the problem. -Christina made a chart summarizing her shop's financial performance over the past three years. Description of Month Number of Months Average Monthly Income or Loss (in hundreds of dollars) Excellent 6 +\ 16 Good 9 +\ 6 Neutral 15 \ 0 Poor 4 -\ 3 Very poor 2 -\ 5 How much money was made in the months described as "Good"?

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Evaluate. - (104)2÷3×4( 10 - 4 ) ^ { 2 } \div 3 \times 4

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Solve the problem. -A plane is flying over the ocean at a height of 12,060 feet above sea level. The depth of the ocean directly below the plane is 17,087 feet. How high is the plane above the ocean floor?

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Solve the problem by combining like terms. -To convert from meters to centimeters, we multiply by 100. For example, the number of centimeters in 3 meters is 100 · 3 = 300. If one piece of string has a length of x - 2 meters, and another piece of string has a length of 8x + 5 centimeters, express their total length in centimeters as an algebraic expression.

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