2-4 Solving Addition & Subtracting Equations

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  • 2-4 Solving Addition & Subtracting Equations

    1. 1. 2-4 Solving Addition & Subtraction Equations Math Notes Algebra and Functions 1.2
    2. 2. Skills Needed...
    3. 3. Skills Needed... Tell what you would do to get the variable alone.
    4. 4. Skills Needed... Tell what you would do to get the variable alone. x - 20
    5. 5. Skills Needed... Tell what you would do to get the variable alone. x - 20 Add 20
    6. 6. Properties of Equality
    7. 7. Properties of Equality You can add the same number to both sides of an equation.
    8. 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. 9. Example 1 4 + 1= 5
    10. 10. Example 1 4+1 =5
    11. 11. Example 1 4 + 1 + 3= 5 + 3
    12. 12. Example 1 4 + 1 + 3= 5 + 3 8 = 8
    13. 13. Example 2 7 + 5 = 12
    14. 14. Example 2 7+5 = 12
    15. 15. Example 2 7 + 5 - 3 = 12 - 3
    16. 16. Example 2 7 + 5 - 3 = 12 - 3 9 = 9
    17. 17. Example 3 Solve x + 6 = 17
    18. 18. Example 3 Solve x + 6 = 17 STEP ONE: What can you do to get the variable alone?
    19. 19. Example 3 Solve x + 6 = 17 STEP ONE: What can you do Subtract 6 to get the variable alone?
    20. 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. 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. 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. 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. 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. 25. Example 4 Solve n - 189 = 200
    26. 26. Example 4 Solve n - 189 = 200 STEP ONE: What can you do to get the variable alone?
    27. 27. Example 4 Solve n - 189 = 200 STEP ONE: What can you do Add 189 to get the variable alone?
    28. 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. 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. 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. 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. 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?

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