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)

Distributing Meet 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) = = 33 pieces 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 x x x m 6.2/3x + 1/3

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

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

Distributing among parenthesis AND combining like terms answers 7.2n x n x x g + 15

8x – 2 – 7x = 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 = 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

Combining like terms AND moving constant to the other side of the equal sign answers / / / /4

–3x = 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

1 x = 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

Equations with fractions Rule: Multiply each co-efficient by its inverse answers 19. ¼ ½ / /9