1. Lesson 3: Properties Algebra 1 CP Mrs.Mongold

2. Identity and Equality Properties Additive Identity- any number plus zero equals that number

3. Identity and Equality Properties Additive Identity- any number plus zero equals that number a + 0 = a

4. Identity and Equality Properties Multiplicative Identity- any number times one equals that number

5. Identity and Equality Properties Multiplicative Identity- any number times one equals that number a ∙ 1 = a

6. Identity and Equality Properties Multiplicative property of 0- any number times zero equals zero

7. Identity and Equality Properties Multiplicative property of 0- any number times zero equals zero a ∙ 0 = 0

8. Identity and Equality Properties

10. Reflexive property- for any number, that number equals itself

11. Identity and Equality Properties Reflexive property- for any number, that number equals itself a = a

12. Identity and Equality Properties Symmetric property- if a equals b then b also equals a

13. Identity and Equality Properties Symmetric property- if a equals b then b also equals a If a = b then b = a

14. Identity and Equality Properties Transitive Property- For the numbers a, b, and c, if a equals b and b equals c then a also equals c.

15. Identity and Equality Properties Transitive Property- For the numbers a, b, and c, if a equals b and b equals c then a also equals c. If a = b and b = c, then a = c

16. Identity and Equality Properties Substitution Property- If a = b then any a can be replaced by b in any expression

17. Identity and Equality Properties Substitution Property- If a = b then any a can be replaced by b in any expression If a = b and 2a = 12 then 2b = 12 also

18. Examples Name the property used in each equation 1. 6n = 6

19. Examples Name the property used in each equation 2. n ∙ 1 =8

20. Examples Name the property used in each equation 3. 6 ∙ n =6 ∙ 9

21. Examples Name the property used in each equation 4. 9 = n + 9

22. Examples

24. Name the property used in each equation 7. If 4 + 5 = 9, then 9 = 4 + 5

25. Examples Name the property used in each equation 8. 0 + 21 = 21

26. Examples Name the property used in each equation 9. 0 (15) = 0

27. Examples Name the property used in each equation 10. 1 (94) = 94

28. Examples Name the property used in each equation 11. If 3 + 3 = 6 and 6 = 3 ∙ 2, then 3 + 3 = 3 ∙ 2

29. Examples Name the property used in each equation 12. 4 + 3 = 4 + 3

30. Examples Name the property used in each equation 13. (14 – 6) + 3 = 8 + 3