Like Terms

Simplifying Expressions with Like Terms

Objective: Simplify algebraic expressions by combining like terms.

​Like Terms: terms that have the SAME variable(s)

​

​Example: 4x and 17x

​

​Unlike Terms: terms that DO NOT have the same variable(s)

​

​Example: 4x and 17xy

​Vocabulary

Match

Match the following like terms.

• 8x

• 12x²

• 4x²y

• 7xy²

• 9y

-x

6x²

-9x²y

2xy²

-12y

• -x

• 6x²

• -9x²y

• 2xy²

• -12y

​Combine Like Terms: take multiple like terms and make them one

​

​Another word used is SIMPLIFY.

​Vocabulary

​Example 1

​Simplify: 4x - 9x + 10x

Match

Match the following expressions with their simplified form after you combine like terms.

• 8x - 9x

• -8x + 9x

• -8x - 9x

• 8x - (-9x)

-x

x

-17x

17x

• -x

• x

• -17x

• 17x

​Example 2

​Simplify: 10 - 4ab + 2 + 8ab

Multiple Choice

Rewrite the expression by combining like terms.

8y² + 7xy – 2y² - 5xy + 2x

• 10y² + 2xy + 2x

• 6y² + 2xy + 2x

• 6y² + 12xy + 2x

• 10y² + 12xy + 2x

Math Response

Simplify: 5x + 3x + 4 + 7y

Type answer here

Correct Answer: 8x+7y+4

Deg^°

Rad

Math Response

What number should go in the box to make the statement true?

c + 🔲c = 10c

Type answer here

Correct Answer: 9

Deg^°

Rad

Multiple Select

Choose the expressions that can be simplified.

• 12x² - 4x + 1

• -4x + 9xy - 10

• 13x - 9 - x

• 8y - 2x + 4y - 9x

• 7y² - 7xy + 9y

Math Response

Rewrite the expression by combining like terms. 3xy + 8x² + 4y + 2y – 5x²

Type answer here

Correct Answer: 3x^2+3xy+6y

Deg^°

Rad

Math Response

What number should go in the box to make the statement true?

70d + 🔲d = 60d

Type answer here

Correct Answer: -10

Deg^°

Rad

Math Response

Simplify: 12y + 9x - 4 - 6x + 4y

Type answer here

Correct Answer: 3x+16y-4

Deg^°

Rad