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: 4(8n + 2)

Back

32n + 8

Front

Simplify the expression: 10(3y + 1)

Back

30y + 10

Front

Simplify the expression: 5(1 + 5b)

Back

5 + 25b

Front

Simplify the expression: 5(p - 6)

Back

5p - 30

Front

Simplify the expression: 6(2r + 10)

Back

12r + 60

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

What is an example of using the Distributive Property?

Back

An example is: 3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Front

If a = 2, simplify: 3(a + 4)

Back

3(2 + 4) = 3*6 = 18.

Front

What is the first step in using the Distributive Property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.