Distribute/Combine 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 -9x are like terms because they both contain the variable x.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that are alike. For example, in 3x + 5x, you add the coefficients (3 + 5) to get 8x.

Front

What is the result of combining -9n + 12n + 7?

Back

3n + 7

Front

What is the result of the expression 3f + 4(2f - 5)?

Back

11f - 20

Front

What is the result of combining 5x + 3x - 9?

Back

8x - 9

Front

Identify the like terms in the expression 3x + 7 - 9x + 24y + 2x^2.

Back

3x and -9x are like terms.

Front

What is the result of the expression 8y + 5 - 2y?

Back

6y + 5

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.

Front

What does it mean to distribute in algebra?

Back

To distribute means to multiply a term by each term inside a set of parentheses. For example, in 3(2x + 4), you distribute 3 to get 6x + 12.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside parentheses.