2-4 Solving Addition & Subtracting Equations

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  • 1. 2-4 Solving Addition & Subtraction Equations Math Notes Algebra and Functions 1.2
  • 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 Add 20
  • 6. Properties of Equality
  • 7. Properties of Equality You can add the same number to both sides of an equation.
  • 8. Properties of Equality You can add the same number to both sides of an equation. You can subtract the same number from both sides of an equation.
  • 9. Example 1 4 + 1= 5
  • 10. Example 1 4+1 =5
  • 11. Example 1 4 + 1 + 3= 5 + 3
  • 12. Example 1 4 + 1 + 3= 5 + 3 8 = 8
  • 13. Example 2 7 + 5 = 12
  • 14. Example 2 7+5 = 12
  • 15. Example 2 7 + 5 - 3 = 12 - 3
  • 16. Example 2 7 + 5 - 3 = 12 - 3 9 = 9
  • 17. Example 3 Solve x + 6 = 17
  • 18. Example 3 Solve x + 6 = 17 STEP ONE: What can you do to get the variable alone?
  • 19. Example 3 Solve x + 6 = 17 STEP ONE: What can you do Subtract 6 to get the variable alone?
  • 20. Example 3 Solve x + 6 = 17 STEP ONE: What can you do Subtract 6 to get the variable alone? STEP TWO: Use the Property of Equality and subtract 6 on both sides.
  • 21. Example 3 Solve x + 6 = 17 STEP ONE: What can you do Subtract 6 to get the variable alone? STEP TWO: Use the Property of Equality and subtract 6 X + 6 - 6 = 17 - 6 on both sides.
  • 22. Example 3 Solve x + 6 = 17 STEP ONE: What can you do Subtract 6 to get the variable alone? STEP TWO: Use the Property of Equality and subtract 6 X + 6 - 6 = 17 - 6 on both sides. STEP THREE: + 6 - 6 cancel out. What is 17 - 6?
  • 23. Example 3 Solve x + 6 = 17 STEP ONE: What can you do Subtract 6 to get the variable alone? STEP TWO: Use the Property of Equality and subtract 6 X + 6 - 6 = 17 - 6 on both sides. STEP THREE: + 6 - 6 cancel out. What is 17 - 6?
  • 24. Example 3 Solve x + 6 = 17 STEP ONE: What can you do Subtract 6 to get the variable alone? STEP TWO: Use the Property of Equality and subtract 6 X + 6 - 6 = 17 - 6 on both sides. STEP THREE: + 6 - 6 cancel out. X = 11 What is 17 - 6?
  • 25. Example 4 Solve n - 189 = 200
  • 26. Example 4 Solve n - 189 = 200 STEP ONE: What can you do to get the variable alone?
  • 27. Example 4 Solve n - 189 = 200 STEP ONE: What can you do Add 189 to get the variable alone?
  • 28. Example 4 Solve n - 189 = 200 STEP ONE: What can you do Add 189 to get the variable alone? STEP TWO: Use the Property of Equality and add 189 on both sides.
  • 29. Example 4 Solve n - 189 = 200 STEP ONE: What can you do Add 189 to get the variable alone? STEP TWO: Use the Property of Equality and add 189 on both sides. n - 189 + 189 = 200 + 189
  • 30. Example 4 Solve n - 189 = 200 STEP ONE: What can you do Add 189 to get the variable alone? STEP TWO: Use the Property of Equality and add 189 on both sides. n - 189 + 189 = 200 + 189 STEP THREE: + 189 - 189 cancel out. What is 200 + 189?
  • 31. Example 4 Solve n - 189 = 200 STEP ONE: What can you do Add 189 to get the variable alone? STEP TWO: Use the Property of Equality and add 189 on both sides. n - 189 + 189 = 200 + 189 STEP THREE: + 189 - 189 cancel out. What is 200 + 189?
  • 32. Example 4 Solve n - 189 = 200 STEP ONE: What can you do Add 189 to get the variable alone? STEP TWO: Use the Property of Equality and add 189 on both sides. n - 189 + 189 = 200 + 189 STEP THREE: + 189 - 189 cancel out. n = 389 What is 200 + 189?