Distributive property and combining like terms

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

Distribute: 3(x + 4)

Back

3x + 12

Front

Distribute: 5(2y - 3)

Back

10y - 15

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms.

Front

Combine like terms: 4x + 3x

Back

7x

Front

Combine like terms: 5a + 2b + 3a

Back

8a + 2b

Front

What is the first step in simplifying an expression?

Back

The first step is to identify and combine like terms.

Front

Simplify: 6x + 2 - 3x + 4

Back

3x + 6

Front

Distribute: 4(2x + 1)

Back

8x + 4

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to make the expression as simple as possible.