Distribute with Variables

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 the expression a(b + c), you would calculate ab + ac.

Front

Distribute: -15(2x - 2)

Back

-30x + 30

Front

Distribute: 10(z - 6)

Back

10z - 60

Front

Combine like terms: 3x + 2x + 11y - 7y

Back

5x + 4y

Front

Simplify: 7(5x - 1)

Back

35x - 7

Front

Distribute: -4(-4d + 5)

Back

16d - 20

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

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.

Front

Distribute: 3(2x + 4)

Back

6x + 12

Front

Distribute: -2(3y - 5)

Back

-6y + 10