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Combining Like Terms. Families & Orphans. + 4. 6x. + 3y. Vocab. Term. Terms  Are separated by a sign (- or +). + 4. 6x. + 3y. Vocab. How many terms are in the example?. 3. + 4. 6x. + 3y. Vocab. Coefficient.

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combining like terms
Combining Like Terms

Families & Orphans

slide2

+ 4

6x

+ 3y

Vocab

Term

Terms Are separated by a sign

(- or +)

slide3

+ 4

6x

+ 3y

Vocab

How many terms are in the example?

3

slide4

+ 4

6x

+ 3y

Vocab

Coefficient

Coefficient it is the number next to the variable. You must have a variable to have a coefficient.

slide5

Vocab

x = 1

x

Any variable without a number in front of it has an understood coefficient of 1.

slide6

+ 4

6x

Vocab

Constant

Constant a number without a variable

slide7

3x

+ 2x

+ 4

Combine Like Terms

slide8

+ 4

5x

3x

+ 2x

+ 4

That is the answer…don’t do anything else!

slide9

Simplify

8a + 3a

slide12
6y + 4y + 8

10y + 8

what if our expression looks like this
What if our expression looks like this….

6(b + 2) How could we simply this

expression?

Use the Distributive Property

let s practice
Let’s practice.

4(6 + k)

4 (6) + 4 (k)

24+4k

Do worksheet.

challenge problem
Challenge Problem

5(d + 3) + 9

5(d) + 5(3) + 9

5d + 15 + 9

5d + 24