1. Bellwork 9/14
Finish Worksheet 2.4 and 2.5
Take Quiz 2-1

2. Today’s Objective
To be able to apply the rules for adding and subtracting to expressions with variables.
Combine Like Terms
Use the Distributive Property

3. Like Terms
You are about to see a pair of numbers that may or may not be like terms.
Based on the results, determine the rules for like terms.

4. Like Terms
Yes =
No = 3 5 -5 3

5. Like Terms -3 -5 3 x 3x 5x

6. Like Terms 3x 5y 3y 5y 2 3x 5x

7. Write down any relationships that you noticed

8. Like Terms 2 2 3x 5y 2 2 3y 5y 2 2 3x 5x

9. Like Terms 2 3 3x 5x 5 5 3y 5y 3 3 3x 5x

10. Now you determine
-3x 3x 3y 3x 2 4x 4x

11. Combine Like Terms Write a pair of like terms: 1.) Without variables
2.) With Variables
3.) With Variables and Exponents

12. A Box of Socks

13. What are the Rules for Like Terms
1.) They must have the same Variable.
2.) They must have the same Exponent

14. The Rules for algebra apply to all Like Terms... Ex.. 3x + 4x 7x
Combine Like Terms
The Rules for algebra apply to all Like Terms...
Ex.. 3x + 4x 7x

15. Combine Like Terms
Example 1
3x x
3x + 5x + 6
8x + 6

16. Example 2 3x + 2y + 2x + 2 3x + 2x + 2y + 2 5x + 2y + 2
Combine Like Terms
Example 2
3x + 2y + 2x + 2
3x + 2x + 2y + 2
5x + 2y + 2

17. Example 3 3x2 + 2x + 2x2 + 2 3x2 + 2x2 + 2x + 2 5x2 + 2x + 2
Combine Like Terms
Example 3
3x2 + 2x + 2x2 + 2
3x2 + 2x2 + 2x + 2
5x2 + 2x + 2

18. Distributive Property
Find the Area of the Rectangle 3 x 6 2x 2
2 • • x = x

19. Distributive Property
Find the Area of the Rectangle 3 x 6 2x 2
2 (3 + x) = 2 • • x
6 + 2x

20. So……. 2 • 3 + 2 • x = 6 + 2x 2 (3 + x) = 6 + 2x Therefore ….

21. Use the distributive Property to simplify the following
1.) 3(4 + x)
2.) -2(3 + x)
3.) 5(x - 7)
4.) 2(x - 3) + 4
5.) x(2 + 6x) - 3
1.) x
2.) -6 -2x
3.) 5x - 35
4.) 2x -2
5.) 2x +6x2 - 3

22. 1.) 3(x + 2) = 3x + 2 3(x + 2) = 3x + 6 2.) (x + 4)5 = x + 20
Find the Mistake
1.) 3(x + 2) = 3x + 2
3(x + 2) = 3x + 6
2.) (x + 4)5 = x + 20
(x + 4)5 = 5x + 20

23. 3.) 4(x - 6) = 4x + 24 4(x - 6) = 4x - 24 4.) 2(6 - x) = 12 - x
Find the Mistake
3.) 4(x - 6) = 4x + 24
4(x - 6) = 4x - 24
4.) 2(6 - x) = 12 - x
2(6 - x) = x

24. 5.) 3(x + 5) = 3x + 8 3(x + 5) = 3x + 15 6.) -2 + x + 6 = 4x
Find the Mistake
5.) 3(x + 5) = 3x + 8
3(x + 5) = 3x + 15
6.) -2 + x + 6 = 4x
-2 + x + 6 = x + 4

25. Classwork Do worksheet 2.6 Homework pg 98 (1-46 ev) and 53
Ex. Credit #67