1 / 29

Lesson 3-2: Solving Equations by Using Addition and Subtraction

Lesson 3-2: Solving Equations by Using Addition and Subtraction. Objectives I can solve one step equations using addition and subtraction. Addition Property of Equality If an equation is true and the same number is added to each side, the resulting equation is true.

pquinn
Download Presentation

Lesson 3-2: Solving Equations by Using Addition and Subtraction

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. Lesson 3-2:Solving Equations by Using Addition and Subtraction

  2. Objectives • I can solve one step equations using addition and subtraction

  3. Addition Property of Equality If an equation is true and the same number is added to each side, the resulting equation is true. Write: If a = b, Then a + c = b + c

  4. Solving Equations Isolate the variable and simplify

  5. Example 1 Solve: h – 12 = -27 +12 +12 h + 0 = -15 h = -15

  6. Example 2 Solve: -21 + q = -18 +21 +21 q = 3

  7. Subtraction Property of Equality If an equation is true and the same number is subtracted from each side, the resulting equation is true. Write: If a = b, Then a – c = b - c

  8. Example 3 Solve: k + 63 = 92 -63 -63 k = 29

  9. Example 4 Solve: p + 18 = 164 -18 -18 k = 146

  10. Story Problems! The rest of the notes go on the story problem worksheet Mr. Clem provided for you

  11. 1) Fourteen more than a number is equal to twenty seven. Write an equation and find the number.

  12. Fourteen more than a number is equal to twenty seven. Write an equation and find the number. x + 14 = 27

  13. Fourteen more than a number is equal to twenty seven. Write an equation and find the number. x + 14 = 27 - 14 -14

  14. Fourteen more than a number is equal to twenty seven. Write an equation and find the number. x + 14 = 27 - 14 -14 x = 13

  15. A number decreased by 10 is 37. Write an equation and find the number.

  16. A number decreased by 10 is 37. Write an equation and find the number. n – 10 = 37

  17. A number decreased by 10 is 37. Write an equation and find the number. n – 10 = 37 + 10 +10

  18. A number decreased by 10 is 37. Write an equation and find the number. n – 10 = 37 + 10 +10 n = 47

  19. When the Great Wall of China was first built, it was 1,000 miles long. It is now 2,500 miles long. How much wall was added since it was first built? Write an equation and solve.

  20. When the Great Wall of China was first built, it was 1,000 miles long. It is now 2,500 miles long. How much wall was added since it was first built? Write an equation and solve. 1,000 + x = 2,500

  21. When the Great Wall of China was first built, it was 1,000 miles long. It is now 2,500 miles long. How much wall was added since it was first built? Write an equation and solve. 1,000 + x = 2,500 -1,000 -1,000

  22. When the Great Wall of China was first built, it was 1,000 miles long. It is now 2,500 miles long. How much wall was added since it was first built? Write an equation and solve. 1,000 + x = 2,500 -1,000 -1,000 x = 1,500

  23. When the Great Wall of China was first built, it was 1,000 miles long. It is now 2,500 miles long. How much wall was added since it was first built? Write an equation and solve. 1,000 + x = 2,500 -1,000 -1,000 x = 1,500 1,500 Miles

  24. This past weekend I built a 555 foot tower over two days. On the second day (Sunday) I added 152 feet. How tall was the tower after one day? Write an equation and solve.

  25. This past weekend I built a 555 foot tower over two days. On the second day (Sunday) I added 152 feet. How tall was the tower after one day? Write an equation and solve. x + 152 = 555

  26. This past weekend I built a 555 foot tower over two days. On the second day (Sunday) I added 152 feet. How tall was the tower after one day? Write an equation and solve. x + 152 = 555 -152 -152

  27. This past weekend I built a 555 foot tower over two days. On the second day (Sunday) I added 152 feet. How tall was the tower after one day? Write an equation and solve. x + 152 = 555 -152 -152 x = 403

  28. This past weekend I built a 555 foot tower over two days. On the second day (Sunday) I added 152 feet. How tall was the tower after one day? Write an equation and solve. x + 152 = 555 -152 -152 x = 403 403 Feet

  29. Homework Pgs. 132-133: 16-50 Evens

More Related