Combine Like Terms

Front

What does it mean to combine like terms in an algebraic expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What are like terms?

Back

Like terms are terms in an expression that have the same variable and exponent. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine the coefficients of like terms?

Back

To combine the coefficients of like terms, you simply add or subtract the numerical coefficients while keeping the variable part the same.

Front

What is the result of combining the like terms in the expression -9n + 12n + 7?

Back

The result is 3n + 7.

Front

What is the simplified form of the expression 2f + f?

Back

The simplified form is 3f.

Front

How do you simplify the expression n - 10 + 9n - 3?

Back

You combine like terms to get 10n - 13.

Front

What is the simplified expression for 7v + 2 + 12 + 2v?

Back

The simplified expression is 9v + 14.

Front

What is the result of combining the terms 5a + 2a + 2a?

Back

The result is 9a.

Front

What is the first step in simplifying an algebraic expression?

Back

The first step is to identify and group like terms.

Front

Why is it important to combine like terms in algebra?

Back

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