1. Ch 2.2 One Step (Addition & Subtraction)
Objective:
To solve one-step variable equations using the Inverse Property of Addition

2. Definitions 4 + 3 = 7 4 + 3 7 = Equation
A balanced statement of equality between two expressions.
One Step
Only one operation is performed (+, -, , ÷)
4 + 3 = 7
4 + 3 7 =
fulcrum

3. Goal: Isolate the variable.
Rules
Goal: Isolate the variable.
1) “Undo” the operation using the Inverse Property of Addition a + (-a) = 0
Perform the operation
to both sides of the equation!

4. = + 7 4 + 3
- 3

5. = 4 7

6. = 4 7 4 = 7

7. 4 + 3 7 = - 3 - 3 4 4 = Perform the same operation to both sides
to keep the equation balanced.

8. This property can be used to solve variable equations.
x + 6 11 = -6 -6 x 5 =
Algebraic Approach
x + 6 = 11
x = 5

9. Example 1 Example 3 m + 2 = 10 m - 4 = 9 -2 -2 +4 +4 m = 8 m = 13
m = 8
m = 13
Example 2
Example 4 +
x - 4 = 6
11 = x – (-2)
x = 10
9 = x

10. Classwork
1) x + 7 = 3
3) -4 + x = 15
2) 8 + y = -6
4) 7 = x + 13

11. Classwork
5) -10 = 6 + x
7) = x
6) - 4 = m + 9
8) y =