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 + 5x = (3+5)x = 8x.

Front

Simplify by combining like terms: n - 10 + 9n - 3

Back

10n - 13

Front

Simplify by combining like terms: -6k + 7k

Back

k

Front

Simplify by combining like terms: 4x² - 2x² + 2y + 6y² - y + x²

Back

3x² + 7y² + y

Front

Simplify by combining like terms: 8xy + 7x² + 6y - 4x² - 5xy

Back

3x² + 3xy + 6y

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term. For example, in 5x, 5 is the coefficient.

Front

What is a variable?

Back

A variable is a symbol used to represent an unknown value, often denoted by letters such as x, y, or n.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What is the difference between a term and an expression?

Back

A term is a single mathematical entity (like 3x or 5), while an expression is a combination of terms (like 3x + 5).