Combining Like Terms

Vocabulary

100

Parts of an algebraic expression, separated by + or -

Terms

200

Terms that contain the exactly same variable form.

Like terms

300

A mathematical phrase that contains numbers, operations, and/or variables (but no = sign)

Algebraic expression

400

The numerical part of a term

Coefficient

500

A symbol, usually a letter of the alphabet, used to represent a quantity that can change.

Variable

Combining (Addition)

100

8a + 15a + a + 9

24a + 9

200

5x + 35 + 3x + 2

8x + 37

300

32 + 12t + 16t + 8

28t + 40

400

6p + 32 + 16p + 2 + 4p

26p + 34

500

m + 20n + 25m + 6n

26m + 26n

Combining (Subtraction)

100

21b - 11b - 10 - 12b

-2b - 10

200

12c - 6c - (-30)

6c + 30

300

5z - 55 - 26 - z

4z - 81

400

-7d - (-40) + 8d

What is d + 40

500

-15j - 18k - 24j - 18k

-39j - 36k

Combining Like Terms(Add & Subtract Mix)

100

-7w - 5 + 17w + 15

10w + 10

200

19a - 6b - 17a - 3b + 9b - 2a

0

300

-2f - 1f - (-6) + 5f

2f + 6

400

-5r + 3q - 8q - r

-6r -5q

500

53t - (-20r) + 17 - 10t

43t + 20r +17