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Thursday, September 30 Today’s Agenda 1. Fill in planner 1. Practice 2-2 Bell Work (Solve each equation) 2n 3n n 2. Bell Work 3. Collect test corrections and grade Practice 2-1 9( w 5) 9w 45 4. Solving Two Step Equations (Notes) 3( x 4) 3x 12 5. Group Activity 6. Independent Work 4 3b 2 5b 8b 2 Objective SWBAT use the distributive property to solve multi step equations using addition, subtraction, multiplication, and division. Solving Multi Step Equations If there are like terms on one side of an equation, use the ____ _______ property to combine them. distributive If there are grouping symbols in the equation, use the _______________ property to eliminate them. distributive Steps for Solving a Multi-Step Equation 1. Clear the equation of fractions and decimals 2. Use the Distributive Property to remove parenthesis on both sides 3. Combine like terms on both sides 4. Undo addition or subtraction 5. Undo multiplication or division Example 1 2c c 12 78 (2 1)c 12 78 3c 12 78 12 12 3c 66 3 3 c 22 Check Your Solution Example 1 c 22 2c c 12 78 2 22 22 12 78 44 22 12 78 66 12 78 78 78 Example 2 2(b 4) 12 2b 8 12 8 8 2b 4 2 2 b 2 Solving a Multi-Step Equation with Fractions Two methods 1. Rewrite the equation with fraction coefficients. 2x x 7 3 2 2 1 x x 7 3 2 2. Multiply to “clear” the fractions 4y y 2 38 5 4 4y y 20( 2) 38 20 5 4 4 4 y 5 y 40 760 4 3 x x 7 6 6 7 x7 6 6 7 6 x 7 7 6 7 x6 16 y 5 y 40 760 21 y 40 760 40 40 21y 720 21 21 y 34.29 Solving an Equation with Decimals You can clear an equation of decimals by multiplying by a power of 10. 0.5a 8.75 13.25 100(0.5a 8.75) 100(13.25) 50a 875 1325 875 875 50a 450 50 50 a 9 Example 3 2(b 4) 12 2b 8 12 8 8 2b 4 2 2 b 2 Objective SWBAT use the distributive property to solve multi step equations using addition, subtraction, multiplication, and division.