1. Objectives:
Solve two step and multi-step equations.

2. Inverse Operations
To solve equations we isolate (get by itself) variables by using inverse operations.
The following needs to be memorized:
Inverse Operations
Addition
Subtraction
Multiplication
Division
Square x2
Square Root

3. Steps to solving ALL equations
Clear parenthesis (Use distributive Property)
Combine Like Terms on each side of the =
Move all variables to one side of the “=“ using inverse operations (+ or -)
Move all constants (numbers) to the other side of the “=“ using inverse operations (+ or -)
Get rid of the constant (number) attached to the variable by either (x or ÷)

4. 1. Solve 18 = 4x + 10.
2. Solve 5x – 2 = –32.
18 = 4x + 10
5x – 2 = –32
– – 10
8 = 4x
5x = –30
8 = 4a 4
5x = –30 5
2 = x
x = –6

5. 3. Solve –4 + 7x = 3.
4. Solve –2(3 – x) = 4
–4 + 7x = 3
7x = 7
7x = 7 7
x = 1

6. 6. Solve
8x – x = 5
5. Solve
–2 –2
n = 0

7. 7. Solve
2a + 3 – 7a = 8.
8. Solve

8. 10. Solve
9. Solve
4(x – 2) + 2x = 40
𝒏−𝟐 −𝟗 =𝟖

9. 12. Solve
𝟑𝒕+𝟏 𝟒 =𝟑
11. Solve
𝒙+𝟏 −𝟖 =𝟔

10. 14. Solve
13. Solve
𝟔 −𝒙−𝟑 =𝟐𝟒
𝟑−𝟐𝒙−𝟑𝒙=−𝟏𝟐

11. 15. Solve
16. Solve
−𝟑 𝟒𝒙−𝟖 =−𝟑𝟔
−𝟔+ 𝒙 𝟒 =−𝟓