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3-2 Solving Equations by Adding or Subtracting

3-2 Solving Equations by Adding or Subtracting. Objective: Solve equations using the addition and subtraction properties of equalities. 5-Minute Check.

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3-2 Solving Equations by Adding or Subtracting

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  1. 3-2 Solving Equations by Adding or Subtracting Objective: Solve equations using the addition and subtraction properties of equalities.

  2. 5-Minute Check Mr. Brown, Ms. Red, and Ms. Black each have a dog. The dogs’ colors are brown, red, and black. A woman owns the black dog. No owner’s name is the same as the color of his or her dog. What is the color of each person’s dog?

  3. 5-Minute Check Mr. Brown, Ms. Red, and Ms. Black each have a dog. The dogs’ colors are brown, red, and black. A woman owns the black dog. No owner’s name is the same as the color of his or her dog. What is the color of each person’s dog? Mr. Brown – red; Ms. Red – black; Ms. Black – brown

  4. 3-2 Solving Equations byAdding or Subtracting

  5. 3-2 Solving Equations byAdding or Subtracting Example 1 Solve x + 9 = 5. Check your solution.

  6. 3-2 Solving Equations byAdding or Subtracting Example 1 Solve x + 9 = 5. Check your solution. x + 9 = 5 x + 9 – 9 = 5 – 9

  7. 3-2 Solving Equations byAdding or Subtracting Example 1 Solve x + 9 = 5. Check your solution. x + 9 = 5 x + 9 – 9 = 5 – 9 Subtract 9 from each side.

  8. 3-2 Solving Equations byAdding or Subtracting Example 1 Solve x + 9 = 5. Check your solution. x + 9 = 5 x + 9 – 9 = 5 – 9 Subtract 9 from each side. x = -4

  9. 3-2 Solving Equations byAdding or Subtracting Example 1 Solve x + 9 = 5. Check your solution. x + 9 = 5 x + 9 – 9 = 5 – 9 Subtract 9 from each side. x = -4 Check: x + 9 = 5

  10. 3-2 Solving Equations byAdding or Subtracting Example 1 Solve x + 9 = 5. Check your solution. x + 9 = 5 x + 9 – 9 = 5 – 9 Subtract 9 from each side. x = -4 Check: x + 9 = 5 -4 + 9 ? 5

  11. 3-2 Solving Equations byAdding or Subtracting Example 1 Solve x + 9 = 5. Check your solution. x + 9 = 5 x + 9 – 9 = 5 – 9 Subtract 9 from each side. x = -4 Check: x + 9 = 5 -4 + 9 ? 5 Replace x with -4.

  12. 3-2 Solving Equations byAdding or Subtracting Example 1 Solve x + 9 = 5. Check your solution. x + 9 = 5 x + 9 – 9 = 5 – 9 Subtract 9 from each side. x = -4 Check: x + 9 = 5 -4 + 9 ? 5 Replace x with -4. 5 = 5 The solution is -4.

  13. 3-2 Solving Equations byAdding or Subtracting

  14. 3-2 Solving Equations byAdding or Subtracting Example 2 Solve x - 4 = -1. Check your solution.

  15. 3-2 Solving Equations byAdding or Subtracting Example 2 Solve x - 4 = -1. Check your solution. x - 4 = -1

  16. 3-2 Solving Equations byAdding or Subtracting Example 2 Solve x - 4 = -1. Check your solution. x - 4 = -1 x – 4 + 4 = -1 + 4 Add 4 to each side.

  17. 3-2 Solving Equations byAdding or Subtracting Example 2 Solve x - 4 = -1. Check your solution. x - 4 = -1 x – 4 + 4 = -1 + 4 Add 4 to each side. x = 3

  18. 3-2 Solving Equations byAdding or Subtracting Example 2 Solve x - 4 = -1. Check your solution. x - 4 = -1 x – 4 + 4 = -1 + 4 Add 4 to each side. x = 3 Check: x - 4 = -1

  19. 3-2 Solving Equations byAdding or Subtracting Example 2 Solve x - 4 = -1. Check your solution. x - 4 = -1 x – 4 + 4 = -1 + 4 Add 4 to each side. x = 3 Check: x - 4 = -1 3 - 4 ? -1

  20. 3-2 Solving Equations byAdding or Subtracting Example 2 Solve x - 4 = -1. Check your solution. x - 4 = -1 x – 4 + 4 = -1 + 4 Add 4 to each side. x = 3 Check: x - 4 = -1 3 - 4 ? -1 Replace x with 3.

  21. 3-2 Solving Equations byAdding or Subtracting Example 2 Solve x - 4 = -1. Check your solution. x - 4 = -1 x – 4 + 4 = -1 + 4 Add 4 to each side. x = 3 Check: x - 4 = -1 3 - 4 ? -1 Replace x with 3. -1 = -1 Ö The solution is 3.

  22. 3-2 Solving Equations byAdding or Subtracting Integration: Solve and check -3x + 4x + (-7) = -10 - 18

  23. 3-2 Solving Equations byAdding or Subtracting Integration: Solve and check -3x + 4x + (-7) = -10 – 18 Answer: x = -21

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