5-12 Solving Multiplication and Division Equations

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  • 1. 5-12 Solving Multiplication & Dividing Equations Math Notes Algebra and Functions 1.1
  • 2. Skills Needed...
  • 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
  • 6. Properties of Equality
  • 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?