2. Expectations 1.Try all 24 classwork problems (2 pts) 2.Make sure you have the correct answers on your classwork before you leave (2 pts) 3.Preview homework to see if you know how to complete it (2 pts) 4.Raise your hand if you have a question (2 pts) 5.Stay in seat and stay quiet when instructor is giving the lesson (2pts)

3. Distributing Meet JT At JT’s birthday party, he has the responsibility to pass out cake to all his friends

4. Some friends are inside the house Some friends are in the yard

5. No matter where they are, everyone gets cake 3 pieces!!! Atta boy, JT

6. 6 friends are in the house 5 friends are in the yard

7. ( + )

8. 3(6 + 5) =

9. 3(6 + 5) = 18 + 15 = 33 pieces of cake

10. Suppose JT didn’t know how many were outside

11. 3(6 + x) =18 + 3x The expression would look like this:

13. 3(2x + 1)= 6x + 3

14. –2(3x + 2)= -6x - 4

15. Distributing answers 1.6x + 3 2.-6x - 4 3.-8x + 12 4. -2x -1 5.-12 + 8m 6.2/3x + 1/3

16. 2(n – 5) + 4 = 2n – 10 + 4 Distributing among parenthesis AND combining like terms 2n – 6 Now, combine like terms

17. 8(x – 2) – 7x = 8x – 16 – 7x Distributing among parenthesis AND combining like terms x – 16 Now, combine like terms

18. Distributing among parenthesis AND combining like terms answers 7.2n - 6 8.x - 16 9.-2n - 9 10. 6x - 6 11.-2x + 6 12.-3g + 15

19. 8x – 2 – 7x = -9 +2 Combining like terms AND moving constant to the other side of the equal sign X – 2 = -9 Combine like terms Add the opposite of the constant to both sides X = -7

20. –5x – 12 + x = 13 +12 Combining like terms AND moving constant to the other side of the equal sign -4x – 12 = 13 Combine like terms Add the opposite of the constant to both sides -4x = 25 x = -25/4

21. Combining like terms AND moving constant to the other side of the equal sign answers 13.-7 14.-25/4 15.-1/2 16. -4/7 17.-1 18.3/4

22. –3x = 3 4 -1 - 1 3 3 Equations with fractions Rule: Multiply each co-efficient by its inverse x = -1/4 Find the co- efficient Find the inverse of the co-efficient

23. 1 x = 6 2 1 Equations with fractions Rule: Multiply each co-efficient by its inverse x = 12 Find the co- efficient Find the inverse of the co-efficient x = 6 x 2

24. Equations with fractions Rule: Multiply each co-efficient by its inverse answers 19. ¼ 20. 12 21. 8 22. 7 ½ 23. -1/32 24. 8/9