Combining Like Terms

Vocabulary

100

In an expression, the parts being added together or subtracted. Example: 4x + 3x + 3y + 7y

What is a term?

200

Terms that contain the same variable(s) raised to the same exponent. These terms can be combined, what are these called?

 Example: 3x + 9x or 7y + 3Y

What are like terms?

300

A mathematical phrase that contains numbers, operations, and/or variables (but no = sign). Example: 5x + 4y + 5 - 2x

What is an expression?

400

Another word for combining like terms? 

(hint: what do we do to make fractions smaller?)

What is simplify?

EXTRA 400

500

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

What is a variable?

Combining (Addition)

100

8a + 15a + a + 9

What is 24a + 9

200

5x + 35 + 3x + 2

BANKRUPT 

What is 8x + 37

300

32 + 12t + 16t + 8

What is 28t + 40

400

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

What is 26p + 34

500

m + 20n + 25m + 6n

What is 26m + 26n

Combining (Subtraction)

100

21b - 11b + 10 - 2b

What is 8b + 10

EXTRA 100

200

12c - 6c - 30

EXTRA 200

What is 6c - 30

300

5z + 55 - 26 - z

What is 4z + 29

400

25d + 40 - 8d

What is 17d + 40 or 40 + 17d

500

15j + 18k - 13j - 17k

What is 2j + 1k or 1k + 1j

Combining Like Terms(Add & Subtract Mix)

100

7w + 5 - 3w + 15

What is 14w + 15

200

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

What is 12b

300

2f - 1f + 6 + 5f

BANKRUPT 

What is 6f + 6

400

5r + 12q - 8q - r

What is 4r + 4q

500

53t + 20r + 17 - 10t

What is 43t + 20r + 17

EXTRA 500

Like Terms OR Not Like Terms

100

Like Terms OR Not Like Terms 7x + 7

NOT Like Terms

200

Like Terms OR Not Like Terms 3x - 4x + x

Like Terms

300

Like Terms OR NOT Like Terms 3x + 2y + 2xy

NOT Like Terms

EXTRA 300

400

Like Terms OR Not Like Terms 3ab + 2ab + 7ba

Like Terms

500

Like Terms OR Not Like Terms 10xy + 3xy + 3x + 4xy

Not Like Terms