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Objective - To solve multi-step variable equations.

Objective - To solve multi-step variable equations. 2x + 3 = 11. Hard way. Easy way. 2x + 3 = 11. 2x + 3 = 11. - Undo Multiplication or Division first. - Undo Addition or Subtraction first. Hard way. Easy way. - Undo Mult./ Div. first. - Undo Add./

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Objective - To solve multi-step variable equations.

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  1. Objective - To solve multi-step variable equations. 2x + 3 = 11 Hard way Easy way 2x + 3 = 11 2x + 3 = 11 - Undo Multiplication or Division first - Undo Addition or Subtraction first

  2. Hard way Easy way - Undo Mult./ Div. first - Undo Add./ Subt. first 2x + 3 = 11 2x + 3 = 11 -3 -3 2 2 2x = 8 2x 3 11 = + 2 2 2 2 2 3 11 x = 4 x = + 2 2 3 3 - - 2 2 8 x = 2 x 4 =

  3. Rules for Solving Equations 1) Goal: Isolate the variable. 2) Undo operations with their opposite operation. 3) Always do the same thing to both sides of the equation.

  4. Rules for Solving Equations 1) Goal: Isolate the variable. 2) Undo operations with their opposite operation. 3) Always do the same thing to both sides of the equation. 4) Easiest to undo add/subtract before multiply/divide.

  5. Solve. 3) 7 - x = 12 1) 5x + 4 = 39 -4 -4 -7 -7 5x = 35 - x = 5 (-1) (- x) = 5 (-1) 5 5 x = 7 x = -5 2) 4) -6 -6 +4 +4 (3) (3) (-5) (-5) -35 = x x = 18

  6. Solve the following equations.

  7. Solve the following equations.

  8. Acceptable Answers -4k = 14 -4 -4 All answers must be fully reduced! There is nothing improper about an improper fraction!

  9. Solve. 1) 7x = 16 3) 9 = -m 7 7 (-1)9 = -m(-1) -9 = m 2) 4) (-4) (-4) (-2) (-2) k = 16

  10. Solving Equations Involving Fractions Long Way Short Way Easier to multiply by the reciprocal!

  11. Solve. 1) 3) 2) 4)

  12. Solve. 7) 5) -9 -9 -10 -10 x =-24 x = -18 6) 8) +4 +4 -5 -5 32 = x x = 18

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