Combining Like Terms

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x + 2x = 5x.

Front

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

Back

2a + 2b + 4

Front

Combine like terms: 3x + 2x + 3y - 7y

Back

5x - 4y

Front

What is the result of 6x + 1 + 7x?

Back

13x + 1

Front

Simplify: 2r + 2 + 5r + 2 + r

Back

8r + 4

Front

What does the term 'coefficient' mean?

Back

A coefficient is a numerical factor in a term. For example, in 4x, 4 is the coefficient.

Front

What is the difference between like terms and unlike terms?

Back

Like terms have the same variable and exponent, while unlike terms do not. For example, 2x and 3x are like terms, but 2x and 3y are unlike terms.

Front

Simplify: a + a + a + a

Back

4a

Front

What is the purpose of combining like terms?

Back

Combining like terms simplifies expressions, making them easier to work with and understand.