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

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

3. 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

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

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

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

7. Solve. 1) 3) 2) 4)