2. ONE STEP EQUATIONS Multiplication and Division

3. ONE STEP EQUATIONS Example 1 Solve 3x = 12 Variable? 3333 1x 3x = 12 x x 3 ÷ 3 Inverse operation? Operation? 4 = What you do to one side of the equation must also be done to the other side to keep it balanced. x = 4 / 3 / x 12 3

4. Check your answer!!!!!! 3x = 12 Original equation Rewrite original equation substituting our answer for x 12 = 12 3(4) = 12 Does our answer make the equation true? Yes ONE STEP EQUATIONS

5. Example 2 Solve 2x = 5 Variable? 2222 1x 2x = 5 x x 2 ÷ 2 Inverse operation? Operation? 2.5 = What you do to one side of the equation must also be done to the other side to keep it balanced. x = 2.5 / 2 / x 5252

6. Check your answer!!!!!! 2x = 5 Original equation Rewrite original equation substituting our answer for x 5 = 5 2(2.5) = 5 Does our answer make the equation true? Yes ONE STEP EQUATIONS

7. Example 3 Solve x 2 Variable? 1x x÷ 2 x 2 Inverse operation? Operation? 20 = What you do to one side of the equation must also be done to the other side to keep it balanced. x = 20 2 / 2 = 10 x2x2 x x2x2.. /

8. Check your answer!!!!!! Original equation Rewrite original equation substituting our answer for x 10 = 10 20 2 Does our answer make the equation true? Yes ONE STEP EQUATIONS = 10 x2x2

9. ONE STEP EQUATIONS Example 4 Solve x 3 Variable? 1x x÷ 3 x 3 Inverse operation? Operation? 3 = What you do to one side of the equation must also be done to the other side to keep it balanced. x = 3 3 / 3 = 1 x3x3 x x3x3.. /

10. Check your answer!!!!!! Original equation Rewrite original equation substituting our answer for x 1 = 1 3 Does our answer make the equation true? Yes ONE STEP EQUATIONS = 1 x3x3

11. ONE STEP EQUATIONS Example 5 Solve x 8 Variable? 1x x÷ 8 x 8 Inverse operation? Operation? = 2 What you do to one side of the equation must also be done to the other side to keep it balanced. x = 2 8 / 8 = = x8x8 x x8x8.. / 1414 1414

12. Check your answer!!!!!! Original equation Rewrite original equation substituting our answer for x = 2 8 Does our answer make the equation true? Yes ONE STEP EQUATIONS = x8x8 = 1414 1414 1414 1414

13. TRY: 1x 4x = 20 5 = x = 5 4 x 20 4 Check: 4x = 20 4(5) = 20 20 = 20 4444 / / 1x 6 = x = 6 3 / = 2 x3x3 x x3x3.. / 3 Check: = 2 x3x3 6363 2=2