combining like terms and distributive property

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 a set of parentheses.

Front

Combine like terms: 3x + 5x.

Back

8x

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 5x are like terms, while 2x and 3y are not.

Front

Simplify: 4y + 2(3y - 1).

Back

10y - 2

Front

Combine like terms: 7a - 2b + 3a + 4b.

Back

10a + 2b

Front

What is the first step in simplifying an expression using the distributive property?

Back

The first step is to distribute the multiplication across the terms inside the parentheses.

Front

Simplify: 2(4x + 3) - 5.

Back

8x + 1

Front

Combine like terms: 9m - 4n + 2m + 3n.

Back

11m - n

Front

What is the result of combining like terms: 6x + 4 - 2x + 3?

Back

4x + 7

Front

Simplify: 5(2y - 3) + 4y.

Back

10y - 15 + 4y = 14y - 15