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Bell work x - 10 = 4 3 + x = 2 2x = 12 = 5

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Solving Two-Step Equations

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What is a Two-Step Equation? An equation written in the form Ax + B = C where A, B, and C are numbers.

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Examples of Two-Step Equations a)3x – 5 = 16 b) + 3 = 12 c)5n + 4 = 6 d) – 6 = 4

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Steps for solving Get the variable term by itself. In other words, do the addition/subtraction first. Isolate the variable. In other words, do the multiplication/ division last. *****HINT! Whatever you do to one side of the equation you MUST do to the other side!

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1.Solve for any Addition or Subtraction on the variable side of equation by “undoing” the operation from both sides of the equation. 2.Solve any Multiplication or Division from variable side of equation by “undoing” the operation from both sides of the equation.

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Inverse “undo” Operations Addition Subtraction Multiplication Division

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Example 2x + 3 = 7 *Get the variable term alone* -3 -3 “undo” addition by subtraction 2 x = 4 *Isolate the variable* 2 2 “undo” multiplication by division x = 2

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Solve 4x – 5 = 15 4x – 5 = 15 +5 +5(Add 5 to both sides) 4x = 20(Simplify) 4 4(Divide both sides by 4) x = 5(Simplify)

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Try These Examples 1.2x – 5 = 17 2.3y + 7 = 25 3.5n – 2 = 38 4.12b + 4 = 28

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Check your answers!!! 1.x = 11 2.y = 6 3.n = 8 4.b = 2

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Ex. 2: Solve + 4 = 9 + 4 = 9 - 4 - 4 (Subt. 4 from both sides) = 5 (Simplify) 3 = 5 3 (Mult. by 3 on both sides) x = 15 (Simplify)

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Try these examples! 1. – 3 = 8 2. + 4 = 9 3. – 6 = 2 4. + 4 = 5

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Check your answers!!! 1.x = 55 2.c = 35 3.r = 24 4.d = 9

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Time to Review! Keep the equation balanced. Use inverse operations to “undo” Follow the rules: 1.Undo Addition or Subtaction 2.Undo Multiplication or Division

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Practice: 2 step equations worksheet

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