5-12 Solving Multiplication and Division Equations
Download as KEY, PDF0 likes216 views
This document provides examples for solving equations by getting the variable alone using multiplication or division. It explains that to get the variable alone, you can multiply or divide both sides of the equation by the same number. Several examples are worked through step-by-step showing multiplying or dividing both sides to isolate the variable, then solving for its value. The goal is to demonstrate how to use properties of equality to solve equations algebraically.
5-12 Solving Multiplication and Division Equations
- 1. 5-12 Solving Multiplication & Dividing Equations Math Notes Algebra and Functions 1.1
- 3. Skills Needed... Tell what you would do to get the variable alone.
- 4. Skills Needed... Tell what you would do to get the variable alone. x ÷ 20
- 5. Skills Needed... Tell what you would do to get the variable alone. x ÷ 20 Multiply by 20
- 7. Properties of Equality You can multiply the same number to both sides of an equation.
- 8. Properties of Equality You can multiply the same number to both sides of an equation. You can divide the same number from both sides of an equation.
- 9. Example 1 2 x 4= 8
- 10. Example 1 2x4 =8
- 11. Example 1 2 x 4 ÷ 4 = 8÷ 4
- 12. Example 1 2 x 4 ÷ 4 = 8÷ 4 2 = 2
- 13. Example 2 30 ÷ 6 = 5
- 14. Example 2 30 ÷ 6 =5
- 15. Example 2 30 ÷ 6 x 6= 5 x 6
- 16. Example 2 30 ÷ 6 x 6= 5 x 6 30 = 30
- 17. Example 3 Solve p x 5 = 25
- 18. Example 3 Solve p x 5 = 25 STEP ONE: What can you do to get the variable alone?
- 19. Example 3 Solve p x 5 = 25 STEP ONE: What can you do Divide by 5 to get the variable alone?
- 20. Example 3 Solve p x 5 = 25 STEP ONE: What can you do Divide by 5 to get the variable alone? STEP TWO: Use the Property of Equality and divide by 5 on both sides.
- 21. Example 3 Solve p x 5 = 25 STEP ONE: What can you do Divide by 5 to get the variable alone? STEP TWO: Use the Property of Equality and divide by 5 p x 5 ÷ 5 = 25 ÷ 5 on both sides.
- 22. Example 3 Solve p x 5 = 25 STEP ONE: What can you do Divide by 5 to get the variable alone? STEP TWO: Use the Property of Equality and divide by 5 p x 5 ÷ 5 = 25 ÷ 5 on both sides. STEP THREE: x 5 ÷ 5 cancel out. What is 25 ÷ 5?
- 23. Example 3 Solve p x 5 = 25 STEP ONE: What can you do Divide by 5 to get the variable alone? STEP TWO: Use the Property of Equality and divide by 5 p x 5 ÷ 5 = 25 ÷ 5 on both sides. STEP THREE: x 5 ÷ 5 cancel out. What is 25 ÷ 5?
- 24. Example 3 Solve p x 5 = 25 STEP ONE: What can you do Divide by 5 to get the variable alone? STEP TWO: Use the Property of Equality and divide by 5 p x 5 ÷ 5 = 25 ÷ 5 on both sides. STEP THREE: x 5 ÷ 5 cancel out. p = 5 What is 25 ÷ 5?
- 25. Example 4 Solve n ÷ 4 = 7
- 26. Example 4 Solve n ÷ 4 = 7 STEP ONE: What can you do to get the variable alone?
- 27. Example 4 Solve n ÷ 4 = 7 STEP ONE: What can you do Multiply by 4 to get the variable alone?
- 28. Example 4 Solve n ÷ 4 = 7 STEP ONE: What can you do Multiply by 4 to get the variable alone? STEP TWO: Use the Property of Equality and multiply by 4 on both sides.
- 29. Example 4 Solve n ÷ 4 = 7 STEP ONE: What can you do Multiply by 4 to get the variable alone? STEP TWO: Use the Property of Equality and multiply by 4 on both sides. n÷4x4=7x4
- 30. Example 4 Solve n ÷ 4 = 7 STEP ONE: What can you do Multiply by 4 to get the variable alone? STEP TWO: Use the Property of Equality and multiply by 4 on both sides. n÷4x4=7x4 STEP THREE: ÷ 4 x 4 cancel out. What is 7 x 4?
- 31. Example 4 Solve n ÷ 4 = 7 STEP ONE: What can you do Multiply by 4 to get the variable alone? STEP TWO: Use the Property of Equality and multiply by 4 on both sides. n÷4x4=7x4 STEP THREE: ÷ 4 x 4 cancel out. What is 7 x 4?
- 32. Example 4 Solve n ÷ 4 = 7 STEP ONE: What can you do Multiply by 4 to get the variable alone? STEP TWO: Use the Property of Equality and multiply by 4 on both sides. n÷4x4=7x4 STEP THREE: ÷ 4 x 4 cancel out. n = 28 What is 7 x 4?