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, you add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = 8x.

Front

Combine the like terms: -7n - 7 - 8 + 10n

Back

3n - 15

Front

Combine the like terms: 3 + 6v - 3 - 12v

Back

-6v

Front

Combine the like terms: 5k + 7k

Back

12k

Front

Combine the like terms: -2n + 18 + 4

Back

-2n + 22

Front

What does it mean to distribute in algebra?

Back

Distributing means multiplying a term by each term inside a set of parentheses. For example, in 8(1 + 6p), you multiply 8 by both 1 and 6p.

Front

Distribute: 8(1 + 6p)

Back

8 + 48p

Front

What is a coefficient?

Back

A coefficient is a number that is multiplied by a variable in an algebraic expression. For example, in 4x, 4 is the coefficient.

Front

What is a constant term?

Back

A constant term is a term that does not contain any variables. For example, in the expression 3x + 5, 5 is the constant term.