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Solving Two Step Equations Objectives: •To solve equations by using the addition and multiplication properties 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! Solving Equations Song Tune: If You’re Happy and You Know It If you want to solve equations, here is how. Read them with their operations, do it now. Then UNDO them every time By directions in this rhyme. DO THE OPPOSITE. That’s what the rules allow. If you read “MINUS,” then to solve them you must ADD. If you say “PLUS” you must SUBTRACT or you’ll be sad. Multiply will get undone By DIVIDING every one. And divide gets MULTIPLIED, or answer’s bad. Oh, equations must stay balanced to be true. WHAT YOU DO TO ONE SIDE YOU MUST DO TO TWO. And to solve for the unknown You must get it all alone Using every single trick you know to do. Click for music Example 1 Solve. 7x + 6 = 13 -6 -6 7x = 7 7 7 x=1 Example 2 Solve. -4y + 3 = 12 -3 -3 -4y = 9 -4 -4 9 y 4 1 y 2 4 Example 3 Solve. 14(6) (6) 10 z(6) 3 2 60 2z 42 -60 -60 2z 18 2 2 z 9 PLACEMAT EQUATION SOLVING • Work in groups 4 • Each student completes one of the problems on the placemat. • Find the sum of the solutions and write the sum in the center of the placemat. • Raise hand when done. 1. 4x 5 43 14 7 x 35 x 12 x 10 6 5 x 20 x 3 1 x 23 19 3 x 12 Practice Solve. 1) 9x + 6 = 51 x 5 3) -18 – 3x = -57 x 13 2) -8y – 4 = 28 y 4 4) 4 – 8x = 12 x 1 Game • http://www.math-play.com/TwoStep-Equations-Game.html Summary • When asked to solve an equation, what is the goal? • Which operation do you do first?