Identifying and 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 3y are not.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term. In the term 3x, 3 is the coefficient.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 5x = (3 + 5)x = 8x.

Front

Simplify: 4 + 3x + 5x

Back

4 + 8x.

Front

What is the result of combining -4W and -10W?

Back

-14W.

Front

Simplify: -6k + 7k

Back

K.

Front

Combine like terms: a + 2a + 7

Back

3a + 7.

Front

What is the sum of coefficients in the expression 4 + 3x + 5x?

Back

The sum of coefficients is 3 + 5 = 8.

Front

What happens when you combine 2x and 3y?

Back

You cannot combine them because they are not like terms.

Front

If you have the expression 7a + 2b - 3a, what is the simplified form?

Back

4a + 2b.