Equivalent Expressions-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 number by a sum by distributing the multiplication to each addend.

Front

Simplify the expression: 3(4 + 5)

Back

27

Front

What does it mean for expressions to be equivalent?

Back

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

Front

Simplify the expression: 2(3x + 4)

Back

6x + 8

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

Simplify: 5(2y + 3)

Back

10y + 15

Front

What is an example of an equivalent expression for 6(x + 2)?

Back

6x + 12

Front

Simplify: 4(3m + 5) - 2m

Back

10m + 20

Front

What is the result of applying the Distributive Property to 7(2 + 3x)?

Back

14 + 21x

Front

Simplify: 8(2y - 1) + 4y

Back

20y - 8