Writing Equivalent Expressions and Distribution

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 using the distributive property: 3(4 + 5)

Back

27

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables.

Front

Use the distributive property to simplify: 6(x + 3)

Back

6x + 18

Front

What is an equivalent expression for 4(x + 1)?

Back

4x + 4

Front

If a = 2, what is the value of 3(a + 4)?

Back

21

Front

What is the result of applying the distributive property to 7(2x + 3)?

Back

14x + 21

Front

Simplify: 5(3y + 2)

Back

15y + 10

Front

What is the first step in using the distributive property?

Back

Multiply the term outside the parentheses by each term inside the parentheses.

Front

If 2(x + 5) = 2x + 10, what property is being used?

Back

The distributive property.