1. Ch 2.3 One Step (Multiplication & Division)
Objective:
To solve one-step variable equations using the Inverse Property of Multiplication

2. Definitions 4  3 = 12 4  3 12 = Equation
An equal sign between two expressions.
One Step
Only one operation is performed (+, -, *, ÷)
4  3 = 12
4  3 12 =
fulcrum

3. Goal: Isolate the variable
Rules
Goal: Isolate the variable
1) “Undo” the operation using the Inverse Property of Multiplication a  = 1
Perform the operation
to both sides of the equation! 1 a

4. = 12 4  3 3

5. = 4 12

6. = 4 12 4 = 12

7. 4  3 12 = 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.6x 12 =
x x x x x x =
Algebraic Approach
6x = 12
x = 2

9. Example 1
Example 3
5x = 35
9 = -3m
x = 7
-3 = m
Example 2
Example 4
(-6)
(-6)
-72 = x

10. Classwork
1) 7x = 16
3) 9 = -m 2) 4)

11. Multiply by the reciprocal!
Solving Equations Involving Fractions
Multiply by the reciprocal!
All answers must be reduced!
Keep it in Improper Fraction format

12. Classwork
Multiply by the reciprocal 5) 7) 6) 8)