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

What is the result of combining -2x + 11 + 6x?

Back

4x + 11

Front

What is the result of combining 3x + 2x + 3y - 7y?

Back

5x - 4y

Front

What is the simplified form of 21 - 8x - 4 + 9x?

Back

x + 17

Front

What is the result of simplifying 5x - 6x - 8x + 7?

Back

-9x + 7

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 coefficient in the term 7x?

Back

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

Front

What is the constant in the expression 4x + 5?

Back

The constant is 5, which is the term without a variable.

Front

How do you identify like terms in an expression?

Back

Look for terms that have the same variable and exponent. For example, in 2x^2 + 3x^2 + 4x, the like terms are 2x^2 and 3x^2.