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

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

What is 26p + 34

500

m + (-20n) + 25m + 6n

What is 26m - 14n

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

-5r² + 3q - 8q - r²

What is -6r² -5q

500

53t³ - (-20r) + 17 - 10t³

What is 43t³ + 20r +17

Expanding Expressions

100

Expand the expression

-8(2x + 3)

-16x - 24

200

Expand the expression

10(7 - 12x)

-120x + 70

300

Expand the expression

5(4xy - 2)

20xy - 10

400

Expand the expression

9 + 2(6x - 4)

12x + 1

500

Expand the expression

-2(4x² - 9) - 6(8y + 10)

-8x² - 48y - 42