Equations, Equations, Equations

3102.3.11  Solve multi-step linear equations with one variable.

Solving Equations by Adding and Subtracting

x – 8 = 17

+ 8 = +8

x = 25

What happens when two signs are beside each other??

x + (-3) = -9 Do Leave, Change, Opposite

x - 3 = -9 The changes are in red! Now SOLVE!!

+ 3 = +3 Do the opposite & Add 3 to both sides!

x = -6

Try this one!!

y – ( -8) = 15

y + 8 = 15

- 8 - 8

y = 7

Solving Equations Using Multiplication and Division

-5x = 25

-5 -5

x = -5

Try a Division Problem

96

x

1

x = 54

Solving Two-Step Equations

5x + 2 = 27

- 2 = -2

5x = 25

5 5

x = 5

Try this one!!

6x + 9 = 27

- 9 = -9

6x = 18

6 6

x = 3

Try this one!

+ 8 = + 8

x = 6

3 1x = 18

8 23

x

Solving Equations with Variables on Both Sides

2x – 8 = x + 17

-x - x

1x - 8 = 17

+ 8 = + 8

1x = 25 or

x = 25

Try this one!

3(5x + 2) = 2(3x – 6) 15x + 6 = 6x - 12 -6x -6x 9x + 6 = - 12 - 6 = - 6 9x = - 18 9 9 x = -2