Exam 1: Basic Concepts

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Find the prime factorization of the number below (use the divisibility tests where helpful). 105105

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What is the total cost for one piece of 8 in. x 16 in. metal duct at $11.42 and two pieces of 8 in. x 12 in. metal duct at $5.73?

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Simplify the fraction. 20\frac { 2 } { 0 }

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A piece of 14\frac { 1 } { 4 } -in. thick sheet of steel is 6.756.75 ft long by 4.34.3 ft wide. If you cut out two equal pieces of width 2.32.3 ft and length 4.3 ft, what size piece will be left?

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Evaluate the expression. 726(4×3)+8(16×8)÷(4×4)72 - 6 ( 4 \times 3 ) + 8 - ( 16 \times 8 ) \div ( 4 \times 4 )

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Perform the indicated operation and simplify. 14×49\frac { 1 } { 4 } \times \frac { 4 } { 9 }

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Perform the indicated operations and simplify. 7916+234+7137 \frac { 9 } { 16 } + 2 \frac { 3 } { 4 } + 7 \frac { 1 } { 3 }

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Due to wage concessions, Bill's hourly wages dropped from $19.50 to $16.00. Find the percent decrease in his wages. Round to the nearest tenth of a percent if necessary.

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A rectangular tank is 99 ft. by 66 ft. by 33 ft. Gasoline weighs approximately 42lb/ft42 \mathrm { lb } / \mathrm { ft } 3. Find the weight of the gasoline if the tank is full. __________ lbs

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Find the sum.   177 4.6 16.61 120.041

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A small plane flies a total of 422221422 \frac { 2 } { 21 } miles in 2232 \frac { 2 } { 3 } hours. How fast did the aircraft fly?

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Find the area of the triangle where the base is b, and the altitude is h. Let b = 42 centimeters, and h = 25 centimeters.

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What is the difference in thickness between a 716\frac { 7 } { 16 } in. steel plate and a 58\frac { 5 } { 8 } in. steel plate?

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Consider the 20-year fixed-rate home loan of $185,500 with an interest rate of 6.75%. What is the monthly payment?

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Change the decimal to a percent. 9.57 __________ %

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Find the power rounded to three significant digits. 33233 ^ { 2 }

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Change the fraction to a percent. 8440\frac { 84 } { 40 } __________ %

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Perform the indicated operation and simplify. 56×56×408÷25\frac { 5 } { 6 } \times \frac { 5 } { 6 } \times \frac { 40 } { 8 } \div 25

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Round the number to three significant digits. 734,563

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Find the area of the triangle where the base is b, and the altitude is h. Let b = 192192 meters, and h = 8080 meters.

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