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. 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

To perform all indicated operations, including combining like terms. When you do this you do not always get a number answer like 25 or 10 or -1. Frequently you get an expression as an answer, like 2x + 5.

What is simplify?

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

What is 8x + 37

300

32 + 12t + 16t + 8

What is 28t + 40

400

6p² + 12 + 16p - 2⁴ + 4p²

What is 10p² + 16p  -4

500

-15m + 20n + (-6m) + -(5n)² + 2n(4n -5)

What is -21m + 10n +3n²

Combining (Subtraction)

100

21b - 11b - 10 - 12b

What is -2b - 10

200

12c - 6c - (-30)

What is 6c + 30

300

5z - 55 - 26 - z

What is 4z - 81

400

-7d - (-40) + 8d

What is d + 40

500

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

What is -39j - 36k

Combining Like Terms(Add & Subtract Mix)

100

-7w - 5 + 17w + 15

What is 10w + 10

200

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

What is 0

300

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

What is 2f + 6

400

-5r + 3q - 8q - r

What is -6r -5q

500

8t + 2(20r + 3t) - 17r - 10t

What is  40r +4t

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

How many terms are in the expression 

7y x 3 + ⁴/₇y + 8(x-5) - 5²

What is 4 terms

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