Combining Like Terms

Front

What does it mean to combine like terms in an 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 is a 'like term'?

Back

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

Front

How do you combine the terms a + a + a + a?

Back

You combine them to get 4a.

Front

What is the result of combining the terms n - 10 + 9n - 3?

Back

The result is 10n - 13.

Front

How do you simplify the expression 2x + 8x + 4x?

Back

You combine the like terms to get 14x.

Front

What is the result of 11r - 12r?

Back

The result is -r.

Front

How do you simplify the expression 7v + 2 + 12 + 2v?

Back

You combine like terms to get 9v + 14.

Front

What is the first step in combining like terms?

Back

The first step is to identify and group all the like terms in the expression.

Front

Can constants be combined with variable terms?

Back

No, constants cannot be combined with variable terms. They are separate types of terms.

Front

What is the importance of combining like terms in algebra?

Back

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