Algebra 3.2 Solving Equations Using Multiplication and Division.

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Presentation transcript:

Algebra 3.2 Solving Equations Using Multiplication and Division

Solve for x

Working with mixed numbers

Try these - 3/8 x = /8 x = -6 x = 16 5/6 a = -10 5/6 a = -10 x = -12 ¾ n = 7 ½ ¾ n = 7 ½ n = 10

Translating Phrases Into Equations Write the verbal sentence as an equation. The sum of 12 and five times a number is 43 The sum of 12 and five times a number is x = 43 Five more than two thirds of a number is 11 Five more than two thirds of a number is 11 2/3 x + 5 = 11 Twelve less than four fifths of a number is 20 Twelve less than four fifths of a number is 20 4/5 x - 12 = 20

A Few More… Write the verbal sentence as an equation. Twelve less than seven times a number is four times the number Twelve less than seven times a number is four times the number 7x - 12 = 4x Four is two fifths of the quantity x decreased by 15 Four is two fifths of the quantity x decreased by 15 4 = 2/5 (x – 15) Three more than 5/6 of a number is 4 less than the number. Three more than 5/6 of a number is 4 less than the number. 5/6 x + 3 = x - 4

Simplify the Expression 4y – 9 + 3y 4y – 9 + 3y 7y x – 8 – 18x x – 8 – 18x x + 6 5(y + 3) + 7y 5(y + 3) + 7y 12y y x – 2(x + 3) 12x – 2(x + 3) 10x - 6

Homework P. 142 #24-48 #66-75