Algebraic Definition of Subtraction a - b = a + -b

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Presentation transcript:

Objective- To simplify problems involving subtraction of real numbers and percents. Algebraic Definition of Subtraction a - b = a + -b Evaluate if x = 4.5 and y = - 3.7 1) x - y = 2) y - x = 4.5 - ( - 3.7 ) = 4.5 + 3.7 = 8.2 - 3.7 - ( 4.5 ) = - 8.2

Simplify. 1) - 10 - ( - y ) = 2) 5x + 3y - 2 - x = 3) 5x - y - 3(x - y) =

Simplify. - 10 + y = y - 10 1) - 10 - ( - y ) = 2) 5x + 3y - 2 - x = 3) 5x - y - 3(x - y) = 5x - y - 3x + 3y 2x + 2y

Geometric Model for Subtraction 5 x 12 12 - 5 x = x = 7

Percent Discount Sweater = $85 Find the new price after a 20% discount. Long Way Shortcut original price - discount new price $85 - 20% of $85 (100% - 20%) of $85 85 - .20 ( 85) 80% of $85 85 - 17 .80 (85) $68 $68 ( Subtracts the $ ) ( Subtracts the % )

Find the new price. .80P 1) Price P is discounted 20%. .65Y 2) Price Y is discounted 35%. .65Y 3) Price M is discounted 47%. .53M .835J 4) Price J is discounted 16.5%.

Find the new price. 1.12X 1) Price X is marked up 12%. 1.70L 2) Price L is increased 70%. 1.70L 3) Price P is marked up 16%. 1.16P 1.0825K 4) Price K after sales tax of 8.25%.

Range- Difference between the highest value and lowest value in a set of numbers. Temperatures in Alaska last night : Range = High - Low Range = - Range =

Find the range. 1) High Test Score = 94 Low Test Score = 68 2) High Temp. = Low Temp. =