Questions and Answers
If there are 2.2 pounds in 1 kilogram, how many pounds are there in x kilograms?
2.2x
If the number of customers on Friday was a one-fifth increase over the number of customers on Thursday, how many customers shopped at the store on Friday?
480
If last year a bakery sold w loaves of bread, how many loaves of bread does the bakery expect to sell next year with current sales pattern?
4w + 6
If 7p - 4 = 8, what is the value of p?
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Running at an average rate of 6 miles per hour, how many minutes would it take Kyle to run 3 miles?
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What fraction of the families have more than two pets?
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If the formula for the volume of a cylinder is V = nr^2h and r = 2b and h = 5b + 3, what is the volume in terms of b?
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How much would an order of 1 slice of cheese pizza and 3 sodas cost if Richard bought 3 slices of pizza and 2 sodas for $8.75 and Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50?
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If 5c - 2 = 3c, then what is the value of 24c?
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In the xy-plane, if the slope of the line y = mx - 4 is less than the slope of the line y = x - 4, what must be true about m?
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Study Notes
Mathematics Concepts and Problems
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Weight conversion: To find the weight in pounds for ( x ) kilograms, multiply by 2.2 (2.2x).
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Customer increase calculation: If Friday's customers increased by one-fifth from Thursday's total, and Thursday had 400 customers, then Friday had 480 customers.
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Bakery sales projection: Last year, the bakery sold ( w ) loaves. This year’s sales: ( 2w + 3 ). Next year’s projection is ( 2(2w + 3) = 4w + 6 ).
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Algebraic equation solving: For the equation ( 7p - 4 = 8 ), the solution for ( p ) is ( \frac{12}{7} ).
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Speed and distance: At an average pace of 6 miles per hour, Kyle takes 30 minutes to run 3 miles.
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Fraction of families with pets: In a scenario with 20 families, if 4 have more than two pets, the fraction is ( \frac{1}{5} ).
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Volume formula for cylinders: Utilizing ( V = \pi r^2 h ), if ( r = 2b ) and ( h = 5b + 3 ), then the volume is expressed as ( 20\pi b^3 + 12\pi b^2 ).
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Cost calculation of items: For pizza and soda purchases, Richard’s and Jordan’s combined information shows that 1 slice of cheese pizza and 3 sodas would cost $5.25.
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Algebraic equation manipulation: From ( 5c - 2 = 3c ), when simplified leads to ( 24c = 24 ).
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Slope comparison in coordinate geometry: The slope ( m ) in the equation ( y = mx - 4 ) must be less than 1 for it to be less steep than the line ( y = x - 4 ).
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