1. More Distributive Property Let’s see how we are doing?

2. Terms are numbers, variables, or products of numbers and variables YesTermNo 5 X 2+x ab 2y Y-3

3. Like Terms – Variables and it’s power must be EXACTLY the same YesLike TermsNo 3 4 6x 3x 2a 4x 2x 5 6

4. Let’s Combine Like Terms

5. How did we do? Example #1 Lets use the properties to help organize our problem

6. Example #2 Use properties

7. Subtracting Integers 1. Change to an addition problem Add the opposite -7 - -1 = 7+1 -8 – 1 = -8 + -1 -7 - -3 = -7 +3 2. Use the rules for adding integers

8. Rules for Adding Integers Same SignsUnlike Signs 7+8 = 15-7 + 8 = 1 -6 + -3 = -9-6 + 3 = -3 Add numbersSubtract numbers Keep SignKeep sign of number with Larger Absolute Value

9. Example #3 -5x + 6x

10. Example #4 -9x + 8y – x – 5y + 3x

11. Example #5 6 + 7x – 4y + x + 3y

12. Let’s Simplify Algebraic Expressions Remember: 1- Get rid of ALL grouping symbols 2- Combine ALL like terms

13. Simplify Each Expression EX.1: 6a+9(a+3) Ex.2: 4(3b+c)+7(8c+4b)

14. Answer Example #1 6a+9(a+3) 6a + 9 x a + 9 x 3 6a + 9a + 27 15a + 27

15. Example #2 Ex.2: 4(3b+c)+7(8c+4b)

16. Answer Example #2 4(3b+c)+7(8c+4b) 4 x 3b + 4 x c + 7 x 8c + 7 x 4b 12b + 4c + 56c + 28b 12b + 28b + 4c +56c 40b + 60c

17. Example #3 -3(2x + 3y) + 2(6x – y)

18. Example #4 7x² + 2 + y + x² - y

19. Example #5 2x + 3 + x²+ 4 – 3x

20. Example #6 2y²+ 6y² - 10y² + 3y

21. Example #7 5 – (7x – 3)

22. One More for FUN Simplify 6a – b + 3ab

23. Answer Example - FUN Simplify 6a – b + 3ab It is already in Simplest Form

24. HW or More Review?? HW – WS – “What Did the Spanish Farmer Say to His Chicken?” Must Show ALL work on a separate sheet of paper for credit

25. Out -Ticket Simplify 1. 6p + 32 + 4P – 15 – p – 2 2. 9(7 + 6n)