1 / 23

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.

bert-duke
Download Presentation

3-2 Solving Equations by Adding or Subtracting

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  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

More Related