1. 1.
How do I Solve
Linear Equations
Linear Equations are equations where the variable is on both sides of the equals sign
Follow the same steps as before:
Opposite operation on both sides
Be consistent:
Variables move left
Constants move right

2. I DO 2. 3x + 4 = 1x + 10 - 1x -1x . 2x + 4 = 10 - 4 -4 2x = 6 ÷2 ÷2
Examples:
Solving
Linear Equations
Example 1: Solve for the variable in the following equation
3x + 4 = 1x + 10
- 1x x
2x + 4 = X
2x = #
÷ ÷2
x = 3
Check:
3(3) + 4 = 1(3) + 10 =
13 = 13

3. I DO 2. -5j – 8 = 8j + 18 - 8j -8j . -13j - 8 = 18 +8 +8 -13j = 26
Examples:
Solving
Linear Equations
Example 2: Solve for the variable in the following equation
-5j – 8 = 8j + 18
- 8j j
-13j - 8 = X
-13j = #
÷ ÷-13
x = -2
Check:
-5(-2) – 8 = 8(-2) + 18
10 – 8 =
2 = 2

4. WE DO 2. 6p – 4 = 2p + 12 -2p -2p . 4p - 4 = 12 +4 + 4 4p = 16 ÷4 ÷4
Examples:
Solving
Linear Equations
Example 3: Solve for the variable in the following equation
6p – 4 = 2p + 12
-2p p
4p - 4 = X
4p = #
÷ ÷4
x = 4
Check:
6(4) – 4 = 2(4) + 12
24 – 4 =
20 = 20

5. COMBINE LIKE TERMS ON SAME SIDE
I DO 3.
Examples:
Solving
Multi-Step Equations
Example 1: Solve for the variable in the following equation
8 + 2x – 12 = 30
8 + 2x = 30
2x - 4 = 30
COMBINE LIKE TERMS ON SAME SIDE +4 +4
2x + 0 = 34
÷ 2
÷ 2
8+2(17) –12
X = 17
=30
CHECK!

6. WE DO 3. 2x – 7x = 56 2x - 7x= 56 -5x = 56 -5x = 56 ÷ -5 ÷ -5
Examples:
Solving
Multi-Step Equations
Example 2: Solve for the variable in the following equation
2x – 7x = 56
2x - 7x= 56
-5x = 56
-5x = 56
÷ -5
÷ -5
2(-11.2) – 7(-11.2)
X = -11.2
= 56
CHECK!

7. WE DO 3. - (4m – 7) = 35 -1(4m – 7) = 35 -4m + 7 = 35 - 7 - 7
Examples:
Solving
Multi-Step Equations
Example 3: Solve for the variable in the following equation
- (4m – 7) = 35
-1(4m – 7) = 35
-4m + 7 = 35
- 7
- 7
-4m + 0 = 28
÷ -4
÷ -4
-(4(-7) - 7)
m = -7
-(-28 – 7) = 35
CHECK!