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

What is the 8 called in 6n + 8?

What is a constant?

400

What is the 5 called in the expression 5n+2

coefficient

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

What is 23a

200

5x + 35 + 3x

What is 8x + 35

300

40+ 12t + 16t

What is 28t + 40

400

10p + 32 + 16p + 2

What is 26p + 34

500

m + 20n + 25m + 6n

What is 26m + 26n

Combining (Subtraction)

100

13b - 11b - 10

What is 2b - 10

200

12c - 6c -30

What is 6c - 30

300

5z - z + 10- 2

What is 4z + 8

400

7d - (-40)

What is 7d + 40

500

-15b - 10b + 5

What is -25b+5

Combining Like Terms(Add & Subtract Mix)

100

5w + 5 + 5w + 15

What is 10w + 25

200

19a - 19a

What is 0

300

2f - 1f - 10 + 2

What is f - 8

400

-5r -1r + 8 - 6

What is -6r + 2

500

-53t + 10t + 9 + 8

What is -43t +17

Like Terms OR Not Like Terms

100

Like Terms OR Not Like Terms 7x and  7

NOT Like Terms

200

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

Like Terms

300

Which ones are Like Terms 3x + 2x + 2xy?

3x and 2x

400

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

Like Terms

500

Which ones are Like Terms 10xy -3xy + 3x - 4xy

10xy, -3xy,and -4xy