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Solving two step equations

Solving two step equations. What is a Two-Step Equation?. An equation written in the form Ax + B = C. Steps for Solving Two-Step Equations. Solve for any Addition or Subtraction on the variable side of equation by “undoing” the operation from both sides of the equation.

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Solving two step equations

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  1. Solving two step equations

  2. What is a Two-Step Equation? An equation written in the form Ax + B = C

  3. Steps for Solving Two-Step Equations • Solve for any Addition or Subtraction on the variable side of equation by “undoing” the operation from both sides of the equation. • Solve any Multiplication or Division from variable side of equation by “undoing” the operation from both sides of the equation.

  4. Ex. 1: Solve 4x – 5 = 11 Helpful Hints? • Do the opposite of PEDMAS • Identify what operations are on the variable side. (Add, Sub, Mult, Div) • “Undo” the operation by using opposite operations. • Whatever you do to one side, you must do to the other side to keep equation balanced. 4x – 5 = 15 +5 +5 (Add 5 to both sides) 4x = 20 (Simplify) 4 4 (Divide both sides by 4) x = 5

  5. Try These Examples • 2x – 5 = 17 • 3y + 7 = 25 • 5n – 2 = 38 • 12b + 4 = 28

  6. Check your answers!!! • x = 11 • y = 6 • n = 8 • b = 2

  7. Ready to Move on?

  8. Solve x/3 + 4 = 9 x/3 + 4 = 9 - 4 - 4 (Subt. 4 from both sides) x/3 = 5 (Simplify) (x/3) ∙ 3 = 5 ∙ 3 (Mult. by 3 on both sides) x = 15 (Simplify)

  9. Try these examples! • 3g – 5 = 16 • y/4 + 3 = 12 • 5n + 4 = 6 • n/2 – 6 = 4 • x/5 – 3 = 8 • c/7 + 4 = 9 • r/3 – 6 = 2 • d/9 + 4 = 5

  10. Check your answers!!! • g = 7 • y = 36 • n = 2/5 • t = 20 • x = 55 • c = 35 • r = 24 • d = 9

  11. More Two-Step Equations • -4(x + 6) = -40 • m + 5(m -1) = 7 • 1/4(m - 16 ) = -1

  12. Answers! • x = 4 • m = 2 • m = 12

  13. Time to Review! • Use opposite operations to “undo” • Keep the equation balanced. • Follow the rules: • Undo Addition or Subtraction • Undo Multiplication or Division

  14. Play online games! • Copy this URL into your browser • Then hit refresh http://www.crctlessons.com/two-step-equations-game.html or http://www.quia.com/rr/168572.html

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