Objective To solve multistep variable equations 2 x

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

Hard way - Undo Mult. / 2 x + 3 = 11 Div. first 2 2 2 x + 3 = 11 2 2 2 x + 3 = 11 2 2 - 23 x = 8 2 x = 4 Easy way - Undo Add. / 2 x + 3 = 11 Subt. first -3 -3 2 x = 8 2 2 x=4

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

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.

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

Solve. 5) 3(x - 2) = 17 3 x - 6 = 17 +6 +6 3 x = 23 3 3 6) -(5 - x) = 9 -5 + x = 9 +5 +5 x = 14 7) 12 - 2(x + 4) = 28 12 - 2 x - 8 = 28 -2 x + 4 = 28 -4 -4 -2 x = 24 -2 -2 x = -12 8) (4) 5 - y = 40 -5 -5 (-1) -y = 35(-1) y = -35

Solve. 11) 9) -10 -9 -10 x = -24 10) -9 x = -18 12) +4 +4 x = 18 -5 32 = x -5

Solve. 13) 6(x + 4) - 2(x - 7) = 10 6 x + 24 - 2 x + 14 = 10 4 x + 38 = 10 -38 4 x = -28 4 4 x = -7

Solve. 14) 8 - 4[x - (2 x + 4)] = 16 8 - 4[x - 2 x - 4] = 16 8 - 4[-x - 4] = 16 8 + 4 x + 16 = 16 4 x + 24 = 16 -24 4 x = -8 4 4 x = -2