Expectations1. 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)

DistributingMeet JT

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

Some friends are inside the house

Some friends are in the yard

No matter where they are,

everyone gets cake

3 pieces!!!Atta boy, JT

6 friends are in the house

5 friends are in the yard

( + )

3(6 + 5) =

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

Suppose JT didn’t know how many were outside

3(6 + x) =18 + 3x

The expression would look like this:

3(2x + 1)=

6x + 3

–2(3x + 2)=

-6x - 4

Distributing

answers

1. 6x + 3

2. -6x - 4

3. -8x + 12

4. -2x -1

5. -12 + 8m

6. 2/3x + 1/3

2(n – 5) + 4 =

2n – 10 + 4

Distributing among parenthesis AND combining like terms

2n – 6Now, combine like terms

8(x – 2) – 7x =

8x – 16 – 7x

Distributing among parenthesis AND combining like terms

x – 16Now, combine like terms

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

8x – 2 – 7x = -9

+2 +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

–5x – 12 + x = 13

+12 +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 = 25x = -25/4

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

–3x = 3 4

-1 - 1 3 3

Equations with fractionsRule: Multiply each co-efficient by its

inverse

x = -1/4

Find the co-efficient

Find the inverse of the co-efficient

1 x = 6 2

2 21 1

Equations with fractionsRule: Multiply each co-efficient by its

inverse

x = 12

Find the co-efficient

Find the inverse of the co-efficient

x = 6 x 2

Equations with fractionsRule: Multiply each co-efficient by its inverse

answers

19. ¼

20. 12

21. 8

22. 7 ½

23. -1/32

24. 8/9