Solving Two-Step Solving Two-Step EquationsEquations

Standard: MCC8EE7ab

Objective: Solve equations using two steps

Objective - To solve equations involving two steps.

Hard way Easy way

3x + 4 = 16

3x + 4 = 16

- Undo Multiplication or Division first

- Undo Addition or Subtraction first

3x + 4 = 16

Hard way Easy way

3x + 4 = 16

3x + 4 = 163 3

3x3

+ 43

= 163

- 43

- 43

x + 43

= 163

x = 123

x = 4

-4 -4

3x = 123 3

x = 4

- Undo Mult./ Div. first

- Undo Add./ Subt. first

1) Goal: Isolate the variable on one side of the equation. ISOLATE

2) Always perform the same operation toboth sides of an equation. BALANCE

3) To undo an operation, perform its opposite operation to both sides of the equation.INVERSE OPERATION

3 3

Solve the following equations.

7) 10 3x 40

8) 4 2x 12

x9) 11 73

x10) 6 27

10 10 3x 303 3x 10

4 4 2x 82 2

x 4

11 11 x 43

x 12

7 7

6 6 x 47

x 28

3 3

Solve the following equations.

1) 2x 5 19

2) 8x 1 25

x3) 15 63

x4) 4 35

5 5 2x 242 2x 12

1 1 8x 248 8x 3

15 15 x 93

x 27

5 5

4 4 x 75

x 35