Distributive Property with 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

Simplify: 5(2 + 3)

Back

5(2 + 3) = 5*2 + 5*3 = 10 + 15 = 25.

Front

Remove parentheses using the distributive property: 4(3x + 2)

Back

4(3x + 2) = 12x + 8.

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.

Front

Combine like terms: 2x + 3x

Back

2x + 3x = 5x.

Front

Combine like terms: 4a + 2b + 3a

Back

4a + 2b + 3a = 7a + 2b.

Front

Simplify: 6(2x + 1) + 4x

Back

6(2x + 1) + 4x = 12x + 6 + 4x = 16x + 6.

Front

Remove parentheses using the distributive property: 7(2y - 3)

Back

7(2y - 3) = 14y - 21.

Front

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

Back

The first step is to apply the distributive property by multiplying the term outside the parentheses by each term inside the parentheses.

Front

Simplify: 2(3x + 4) - 5

Back

2(3x + 4) - 5 = 6x + 8 - 5 = 6x + 3.