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Published byJudith Clarke Modified over 5 years ago

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Solving Two- Step Equations Lesson 2-2

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Rules to Remember When solving an equation, the goal is to get the variable by itself. Addition and Subtraction are inverse operations. (opposites) Multiplication and Division are inverse operations. (opposites)

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Don’t Forget The equation is like a balance scale. Whatever you do to one side of the equation must be done to the other side of the equation.

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How to solve two-step equations “Undo” the operations in the reverse order of the order of operations. You are using the work back-words strategy In order of operations we do multiplication or division first, then addition and subtraction. When solving an equation we do the opposite!

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Integer Rules to Remember Adding Integers 1.Same sign= add and keep the sign 2.Different sign = subtract and keep the sign of the larger number Subtracting Integers 1.Keep, Change, Change 2.Follow the rules for addition Multiplying and Dividing Integers 1.Same Sign = Positive Answer 2.Different Sign = Negative Answer

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Let’s Try One… 3x + 2 = 23 - 2 -2 21 3x = 21 3 3 x = 7 The problem contains addition and multiplication. Which one do we undo 1 st ?

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Another Example -2y – 7 = 3 +7 +7 10 -2y = 10 -2 -2 y = -5 The problem contains subtraction and multiplication. Which one do we undo 1 st ?

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Last Example -3c + 9 = 3 -9 -9 -6 -3c = -6 -3 -3 c = 2 The problem contains addition and multiplication. Which one do we undo 1 st ?

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Now it’s your turn 1.5x + 4 = 19 2.2t + 7 = -1 3.6m + 1 = -23 4.-4w – 4 = 8 5.-7y + 3 = -25 6.3t – 13 = 2 1.x = 3 2.t = -4 3.m = -4 4.w = -3 5.y = 4 6.t = 5

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