1. 1 2.5:Reason Using Properties from Algebra Goal:Use algebraic properties in logical arguments.

2. 2 Algebraic Properties of Equality Let a, b, and c be real numbers.

3. 3 Example 1:Write reasons for each step

4. 4

5. 5 Distributive Property a ( b + c ) = a aa ab + ac, where a, b, and c are real numbers.

6. 6 Example 2:Use the Distributive Property

7. 7 Checkpoint

8. 8

9. 9 Example 3:Use properties in the real world Speed:A motorist travels 5 miles per hour slower than the speed limit s for 3.5 hours. The distance traveled d can be determined by the formula d = 3.5( s – 5). Solve for s.

10. 10 Example 3:Use properties in the real world

11. 11 Reflexive Property of Equality

12. 12 Symmetric Property of Equality

13. 13 Transitive Property of Equality

14. 14 Example 4:Use properties of equality

15. 15 Example 4:Use properties of equality

16. 16 Checkpoint

17. 17 Checkpoint:Name the property of equality

18. 18 Checkpoint:Name the property of equality

19. 19 Checkpoint:Name the property of equality