Combining Like Terms

Vocabulary

100

An expression with many terms

What is a polynomial 

200

An expression with 1 term 

What is a monomial?

300

Terms that can be combined. Example: 3x + 9x or 7y + 3y

What are like terms?

400

A number in front of a variable

What is a 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 + 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 + 26n

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

Multiplying Polynomials

100

3x⋅ 5x³

What is 15x⁴

200

6a(5a²b³)

What is 30a³b³

300

(3c+4)(c²+2c)

What is 3c³+10c²+8c

400

(x+4)²

What is x²+8x+16

500

(3v-4)(6v²+4v³-2)

What is 12v⁴+2v³-24v²-6v+8

Dividing Monomials

100

y¹⁰÷ y⁶

What is y⁴

200

a⁶b⁷÷ a⁴b⁶

What is a²b

300

12p⁹r¹²÷ 4p⁹r⁹

What is 3r³

400

52s¹³t⁵÷ 13t⁴

What is 4s¹³t

500

6x⁵y⁸z⁴÷ 18x⁷y⁸

What is (x^-2z⁴)/3