Solving Equations Medina1 Variables on Both Sides.

Solving EquationsSolving Equations

Medina 1

Variables on Both Sides

Steps to solveSteps to solve

Medina 2

4. Undo addition or subtraction

You may not have to do all the steps to solve the equation

“You know you are done solving when there is a positive 1 in front of the variable.”

5. Undo multiplication or division

1. Use distributive property on each side2. Combine like terms on each side

get the letter by itself variabl

e

3. Get the variable on one side

Solving Equations with Algorithm Solving Equations with Algorithm

Medina 3

2 6 4 3 9x x x

3x

3x

3x

6

Original problem

Subtract 3x from both sides

Check answer

Combine like terms

3x

6x

6 9

3 3

Add 6 to both sides

15

6 3 9x

6

x1 5

Simplify

Simplify

Divide both sides by 3

To Solve:

Solving Equations with Algorithm Solving Equations with Algorithm

Medina 4

Check:

24 24

5x

2 6 4 3 9x x x

5

6 6 3 9x x 6 6 3 9

30 65

15 9

Solving Equations with Algorithm Solving Equations with Algorithm

Medina 5

To Solve:

4 3 2 3 6x x x

3x

x

3x

6

Original problem

Subtract 3x to both sides

Check answer

Combine like terms

3 12x

6x

6

3 3 Divide both sides by 3

1

2 3 6x x Distributive Property

4x 12 12 3 6x

12 123x 18

Simplify

Subtract 12 to both sides

Simplify

Solving Equations with Algorithm Solving Equations with Algorithm

Medina 6

Check:

18 18

6x -

4 3 2 3 6x x x

6-

6 12 3 6x x

6 12 3 6

36- 12

4 12 2 3 6x x x

6-

18- 6