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1.2 Solving Multi-Step Equations

Solving Two Step Equations 1. Use the Addition and Subtraction Property of Equality 2. Then use the Multiplication or Division Property of Equality

Example 1: Solve 3x + 4 = 13 - 4 - 4 3x = 9 x = 3 3 3

Combining Like Terms to Solve an Equation 1.Combine Like Terms 2.Add or Sub Prop. of = 3.Mult. or Division Prop. of =

Ex 3: 6x + 2x = 16 If there are like terms on one side of the equation, collect them before using the properties 8x = 16 x = 2

Using Distributive Property to Solve an Equation 1.Use Distributive Property 2.Combine Like Terms 3.Add or Sub Prop. of = 4.Mult. or Division Prop. of =

Ex 5: 2(2y + 3) = 14 When there are parenthesis, you will normally apply the distributive property first. 4y + 6 = 14 4y = 8 y = 2

1) Example 6: 1)Distribute 2)Collect like terms on the same side of equation. 3)Add the opposite of any number being added to “ x ” 4)Divide both sides by the coefficient of “x”. 3(2x - 1) - 5(x + 4) = 61 6x - 3 - 5x - 20 = 61 1x -23 = 61 1x = 84 11 x = 84 +23

Homework TB: Page 14-15 (2-17, 24) all

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