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Bell Ringer

Bell Ringer. X-7=18 -4x=18 x/9=-12 -4=5+x. How do we solve an equation???. Do inverse operations ie. If something is added, you subtract (vice-versa); if something is multiplied, you divide (vice-versa). Solve the following equations. 5/6 x = -15 -¾ x=-2 x/-4 = 3 2/5 x = 1.

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Bell Ringer

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  1. Bell Ringer • X-7=18 -4x=18 • x/9=-12 -4=5+x

  2. How do we solve an equation??? • Do inverse operations • ie. If something is added, you subtract (vice-versa); if something is multiplied, you divide (vice-versa)

  3. Solve the following equations • 5/6 x = -15 -¾ x=-2 • x/-4 = 3 2/5 x = 1

  4. Solving Two-Step Equations Teacher: Mrs. Piotrowsky

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

  6. 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.

  7. Addition  Subtraction Opposite Operations Multiplication  Division

  8. Helpful Hints? • 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.

  9. Ex. 1: Solve 4x – 5 = 11 4x – 5 = 15 +5 +5 (Add 5 to both sides) 4x = 20 (Simplify) 4 4 (Divide both sides by 4) x = 5 (Simplify)

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

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

  12. How did you do? Are you ready for more???

  13. Ex. 2: 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)

  14. What happens when I have a problem like this??? • -5 + 1/3 x = -12

  15. Try these examples! • x/5 – 3 = 8 • c/7 + 4 = 9 • r/3 – 6 = 2 • d/9 + 4 = 5

  16. Check your answers!!! • x = 55 • c = 35 • r = 24 • d = 9

  17. Time to Review! • Make sure your equation is in the form Ax + B = C • Keep the equation balanced. • Use opposite operations to “undo” • Follow the rules: • Undo Addition or Subtaction • Undo Multiplication or Division • Quiz Friday: Solving 1 and 2 step equations

  18. Let’s Practice!!!

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