Objective: To solve two-step variable equations Ch 3.2 Objective: To solve two-step variable equations

Definition Two Step Equation Two operations are performed (1) (+, -) Addition or Subtraction and then (2) (*, ÷) Multiplication or Division

Rules for Solving Two-Step Equations Isolate the variable expression Use Inverse Property of Addition. (Undo addition with subtraction. Undo subtraction with addition.) 3) Perform operation to both sides of the equation. 4) Use Inverse Property of Multiplication to isolate the variable. (Hint: Multiply by the reciprocal for fractions) 5) Perform operation to both sides of the equation

One-Step Equations Two-Step Equations 1) m + 2 = 10 2) 4m + 2 = 10 -2 -2 -2 -2 4m + 0 = 8 m = 8 4 4 m = 2 4) -2x - 7 = 3 3) x - 7 = 3 +7 +7 +7 +7 -2x + 0 = 10 x = 10 -2 -2 x = -5

One-Step Equations Two-Step Equations 1) 5x = 35 2) 5x + 2 = 37 -2 -2 5 5 5x + 0 = 35 x = 7 5 5 x = 7 4) (-6) 3) (-6) +1 +1 -72 = x (-6) (-6) -72 = x

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

Solve. 1) 3) 2) 4)