1 / 37

Algebra 1 Notes: Lesson 1-4: Identity and Equality Properties

Algebra 1 Notes: Lesson 1-4: Identity and Equality Properties. Vocabulary Additive Identity . Vocabulary Additive Identity a + 0 = a 0 is the additive identity Multiplicative Identity . Vocabulary Additive Identity a + 0 = a Multiplicative Identity b · 1 = b

isbellt
Download Presentation

Algebra 1 Notes: Lesson 1-4: Identity and Equality Properties

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. Algebra 1 Notes:Lesson 1-4:Identity and Equality Properties

  2. Vocabulary • Additive Identity

  3. Vocabulary • Additive Identity a + 0 = a • 0 is the additive identity • Multiplicative Identity

  4. Vocabulary • Additive Identity a + 0 = a • Multiplicative Identity b · 1 = b • 1 is the multiplicative identity • - Multiplicative Property of Zero

  5. Vocabulary • Additive Identity a + 0 = a • Multiplicative Identity b · 1 = b • Multiplicative Property of Zero c· 0 = 0 • Multiplicative Inverses

  6. Vocabulary • Additive Identity a + 0 = a • Multiplicative Identity b · 1 = b • Multiplicative Property of Zero c· 0 = 0 • Multiplicative Inverses ¼ · 4 = 1 • “Reciprocal”

  7. Vocabulary • Reflexive Property of Equality

  8. Vocabulary • Reflexive Property of Equality a = a

  9. Vocabulary • Reflexive Property of Equality a = a 2 + 3 = 2 + 3 • Symmetric Property of Equality

  10. Vocabulary • Reflexive Property of Equality a = a 2 + 3 = 2 + 3 • Symmetric Property of Equality If a = b, then b = a.

  11. Vocabulary • Reflexive Property of Equality a = a 2 + 3 = 2 + 3 • Symmetric Property of Equality If a = b, then b = a. If 3 + 6 = 9, then 9 = 3 + 6.

  12. Vocabulary • Transitive Property of Equality

  13. Vocabulary • Transitive Property of Equality If a = b and b = c, then a = c.

  14. Vocabulary • Transitive Property of Equality If a = b and b = c, then a = c. If 5 + 7 = 12 and 12 = 8 + 4, then 5 + 7 = 8 + 4. • Substitution Property of Equality

  15. Vocabulary • Transitive Property of Equality If a = b and b = c, then a = c. If 5 + 7 = 12 and 12 = 8 + 4, then 5 + 7 = 8 + 4. • Substitution Property of Equality If a = b, then a may be replaced by b.

  16. Vocabulary • Transitive Property of Equality If a = b and b = c, then a = c. If 5 + 7 = 12 and 12 = 8 + 4, then 5 + 7 = 8 + 4. • Substitution Property of Equality If a = b, then a may be replaced by b.If n = 15, then 3n = 3 · 15.

  17. Example 1 Name the property used in each equation. Then find the value of n. a) n 12 = 0

  18. Example 1 Name the property used in each equation. Then find the value of n. a) n 12 = 0 n = 0

  19. Example 1 Name the property used in each equation. Then find the value of n. a) n 12 = 0 n = 0Multiplicative Property of Zero b)

  20. Example 1 Name the property used in each equation. Then find the value of n. a) n 12 = 0 n = 0Multiplicative Property of Zero b) n = 5

  21. Example 1 Name the property used in each equation. Then find the value of n. a) n 12 = 0 n = 0Multiplicative Property of Zero b) n = 5 Multiplicative Inverse Property

  22. Example 2 Evaluate: ¼(12 - 8) + 3(15  5 - 2) Name the property used in each step.

  23. Example 2 ¼(12 - 8) + 3(15  5 – 2)

  24. Example 2 ¼(12 - 8) + 3(15  5 – 2) ¼(4) + 3(15 ÷ 5 – 2) Substitution

  25. Example 2 ¼(12 - 8) + 3(15  5 – 2) ¼(4) + 3(15 ÷ 5 – 2) Substitution

  26. Example 2 ¼(12 - 8) + 3(15  5 – 2) ¼(4) + 3(15 ÷ 5 – 2) ¼(4) + 3(3 – 2) Substitution Substitution

  27. Example 2 ¼(12 - 8) + 3(15  5 – 2) ¼(4) + 3(15 ÷ 5 – 2) ¼(4) + 3(3 – 2) Substitution Substitution

  28. Example 2 ¼(12 - 8) + 3(15  5 – 2) ¼(4) + 3(15 ÷ 5 – 2) ¼(4) + 3(3 – 2) ¼(4) + 3(1) Substitution Substitution Substitution

  29. Example 2 ¼(12 - 8) + 3(15  5 – 2) ¼(4) + 3(15 ÷ 5 – 2) ¼(4) + 3(3 – 2) ¼(4) + 3(1) Substitution Substitution Substitution

  30. Example 2 ¼(12 - 8) + 3(15  5 – 2) ¼(4) + 3(15 ÷ 5 – 2) ¼(4) + 3(3 – 2) ¼(4) + 3(1) 1 + 3(1) Substitution Substitution Substitution Multiplicative Inverse

  31. Example 2 ¼(12 - 8) + 3(15  5 – 2) ¼(4) + 3(15 ÷ 5 – 2) ¼(4) + 3(3 – 2) ¼(4) + 3(1) 1 + 3(1) Substitution Substitution Substitution Multiplicative Inverse

  32. Example 2 ¼(12 - 8) + 3(15  5 – 2) ¼(4) + 3(15 ÷ 5 – 2) ¼(4) + 3(3 – 2) ¼(4) + 3(1) 1 + 3(1) 1 + 3 Substitution Substitution Substitution Multiplicative Inverse Multiplicative Identity

  33. Example 2 ¼(12 - 8) + 3(15  5 – 2) ¼(4) + 3(15 ÷ 5 – 2) ¼(4) + 3(3 – 2) ¼(4) + 3(1) 1 + 3(1) 1 + 3 Substitution Substitution Substitution Multiplicative Inverse Multiplicative Identity

  34. Example 2 ¼(12 - 8) + 3(15  5 – 2) ¼(4) + 3(15 ÷ 5 – 2) ¼(4) + 3(3 – 2) ¼(4) + 3(1) 1 + 3(1) 1 + 3 4 Substitution Substitution Substitution Multiplicative Inverse Multiplicative Identity Substitution

  35. Example 2 ¼(12 - 8) + 3(15  5 – 2) ¼(4) + 3(15 ÷ 5 – 2) ¼(4) + 3(3 – 2) ¼(4) + 3(1) 1 + 3(1) 1 + 3 4 Substitution Substitution Substitution Multiplicative Inverse Multiplicative Identity Substitution

  36. Try on your own! Include the property with each step 2 ( 3  2 – 5 ) + 3  ⅓

  37. Assignment Pgs. 23-25 12-28 (evens) 39 – 43 (all)

More Related