Warm-up 8/19 Lesson: Integer Practice and Combining Like Terms 6+11= 21-8= (-14)+19= 3+(-8)=

Menu Math Combining Like Terms

3c + 3d = $11.10 What does “d” equal? MENU Hamburger …………………………$1.85 Cheeseburger……………………..$2.15 Fries……………………………………$1.05 Sodas: Small…………………………..$0.95 Medium………………………$1.25 Large…………………………..$1.55 Extra-Large………………….$2.10 h + f = c + f + s = 7f = 3h + c + f + 3x = 4c + 3f + s + m + l 3c + 3d = $11.10 What does “d” equal? Questions to ask students: How did you know that h stood for hamburger? F stands for fries? Why does “S” stand for “small” and not “soda”? How did you know that you needed to multiply? What might the “d” stand for?

On your own… Customer 1: 3h + 3f What did customer 1 order? Three customers placed the following orders. Tell what each customer ordered and the cost of each order. Customer 1: 3h + 3f What did customer 1 order? How much did it cost? Customer 2: 3h + f What did customer 2 order? Customer 3: 3(h+f) What did customer 3 order?

What if I gave you the ORDERS and you had to come up with the algebraic expressions? Example: I want ______________, ______________, and ______________. Oh and _______________. Ask students to give you the blanks. Then translate. Make sure to have students write the expressions using + and -

SHARE OUT: 3. I want a cheeseburger and an order of fries with a medium soda, my son wants two hamburgers and an order of fries, and a medium soda, and my daughter wants a cheeseburger, an order of fries and a large soda. Oh yeah, and my husband wants two orders of fries, a cheeseburger and a large soda. SIMPLIFY this order. This means combine all of the “like terms” (hamburgers with hamburgers, etc.) so the drive-through person knows how many of each item to make.

SHARE OUT: 4. Let’s see… I think I’d like three hamburgers and a cheeseburger, three fries, a large soda, two medium sodas, and an extra large soda. Add on another order of fries to that. OOOOPS! Make one of those hamburgers a cheeseburger. SIMPLIFY this order. This means combine all of the “like terms” (hamburgers with hamburgers, etc.) so the drive-through person knows how many of each item to make. How did you deal with the MISTAKE?

For your DICTIONARY… Term Definition Example Combining Like When you rewrite an expression so all of your “hamburgers” are with “hamburgers” Combining Like Terms 3x + 5y + x + m + m = 4x + 5y + 2m

ASSIGNMENT: Combining Like Terms PRACTICE Directions: Different members of the same family placed the following orders. (4c + f + m) + (3h + f + m) – h + c = Simplify the orders by combining like terms. (3h + 2f + x) + (c + f + m) – (h + m + f) = (2h + f) + (c + f + s) + (h + m + f) = (5h + 3f + 2m) – (h + f + m) + (c + 2x) = (x + c) + (2f + c + x) + (m + 2f + c) = (3h + f + x) + (h + f + m) – (h + f) + c = (h + x + f) + (h + x + f) + (h + x + f) = (3h + m) + (2c + f + m) + (c + m + 2f) =

Combining Like Terms Answers 3h+3f+c+s+m 5c+2f+2m+2h 2x+3c+4f+m 2h+2f+x 3h+3x+3f or 3(x+h+f) 4h+2f+m+2x+c 3h+3m+3c+3f 3h+f+x+m+c