Combining Like Terms (Basic)

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 are like terms?

Back

Like terms are terms that have the same variable(s) raised to the same power. For example, 2x and 3x are like terms, while 2x and 2y are not.

Front

How do you combine the terms 2r + 5r + r?

Back

You add the coefficients of the like terms: 2 + 5 + 1 = 8, so the combined term is 8r.

Front

What is the result of combining -r and -10r?

Back

The result is -11r, as you add the coefficients: -1 + (-10) = -11.

Front

In the expression 4x + 5y + 3x, how many terms are there?

Back

There are three terms: 4x, 5y, and 3x.

Front

What is the combined form of 3 + 12c - 4c?

Back

The combined form is 8c + 3, as you combine the like terms 12c and -4c.

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7, which is the number multiplying the variable x.

Front

Can constants be combined with variable terms?

Back

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

Front

What is the first step in simplifying the expression 2x + 3x + 4?

Back

The first step is to combine the like terms 2x and 3x, resulting in 5x + 4.

Front

How do you identify like terms in an expression?

Back

You identify like terms by looking for terms that have the same variable(s) raised to the same power.