Combine Like Terms

The Basics

100

Identify the like terms in: 3x + 2y + 5x

3x and 5x

200

Simplify: 7a + 2a + 5b

9a + 5b

300

Are 4x and 4x² like terms? Why or why not?

No, the variables must have the same exponent.

400

Simplify: 10 + 3m + 8 + 2m

5m + 18

500

Simplify: p + p + p + q + q

3p + 2q

Adding & Subtracting

100

Simplify: 12y - 5y

7y

200

Simplify: -4k + 10k - 2

6k - 2

300

Simplify: 6b - 9b + b

-2b

400

Simplify: 3.5x + 2.1x - 0.2

5.6x - 0.2

500

Simplify: 8z - 15z - 4 - z

-8z - 4

Multiple Variables

100

Simplify: 3x + 2y + 4x

7x + 2y

200

Simplify: 10a + 5b - 3a + 2b

7a + 7b

300

Simplify: -2m + 4n - 6m - n

-8m + 3n

400

Simplify: x + y + z + x - y

2x + z

500

Simplify: 5ab + 2a - 3ab + 4b

2ab + 2a + 4b

Distributive Property

100

Simplify: 2(x + 3)

2x + 6

200

Simplify: 3(n + 5) + 2n

5n + 15

300

Simplify: 5(2y - 1) - 3y

7y - 5

400

Simplify: -4(k - 2) + 6k

2k + 8

500

Simplify: 6m + 2(3m - 4) + 5

12m - 3

Word Problems

100

You have x apples and your friend gives you 4x more apples. How many do you have?

5x apples

200

A triangle has sides of length 2n, 3n+1, and n+4. What is its perimeter?

6n + 5

300

ou buy 5 shirts that cost c dollars each and a pair of jeans for $20. What is the total cost?

5c + 20

400

The length of a rectangle is 3x + 2 and its width is x + 5. What is the perimeter?

8x + 14

500

You start with 10y dollars. You spend (2y + 5) dollars. How much money is left?

8y - 5 dollars