Warm-up 8/19

• Lesson: Integer Practice and Combining Like Terms

• 6+11=• 21-8=• (-14)+19=• 3+(-8)=

Menu MathCombining Like Terms

MENU

Hamburger …………………………$1.85Cheeseburger……………………..$2.15Fries……………………………………$1.05Sodas:

Small…………………………..$0.95

Medium………………………$1.25

Large…………………………..$1.55

Extra-Large………………….$2.10

1. h + f =

2. c + f + s =

3. 7f =

4. 3h + c + f + 3x =

5. 4c + 3f + s + m + l

6. 3c + 3d = $11.10 What does “d” equal?

On your own…

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? How much did it cost?Customer 3: 3(h+f) What did customer 3 order? How much did it cost?

What if I gave you the ORDERS and you had to come up with the algebraic expressions?

• Example:I want ______________, ______________, and

______________. Oh 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.

For your DICTIONARY…

Term Definition Example

CombiningLikeTerms

3x + 5y + x + m + m = 4x + 5y + 2m

When you rewrite an expression so all of your “hamburgers” arewith “hamburgers”

ASSIGNMENT:Combining Like Terms PRACTICE

• Directions:• Different members of the same family

placed the following orders.• Simplify the orders by combining like

terms.

1. (2h + f) + (c + f + s) + (h + m + f) =

2. (x + c) + (2f + c + x) + (m + 2f + c) =

3. (h + x + f) + (h + x + f) + (h + x + f) =

4. (3h + m) + (2c + f + m) + (c + m + 2f) =

5. (4c + f + m) + (3h + f + m) – h + c =

6. (3h + 2f + x) + (c + f + m) – (h + m + f) =

7. (5h + 3f + 2m) – (h + f + m) + (c + 2x) =

8. (3h + f + x) + (h + f + m) – (h + f) + c =

Combining Like Terms Answers

1. 3h+3f+c+s+m2. 2x+3c+4f+m3. 3h+3x+3f or 3(x+h+f)4. 3h+3m+3c+3f

5. 5c+2f+2m+2h6. 2h+2f+x7. 4h+2f+m+2x+c8. 3h+f+x+m+c