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

Use the Distributive Property to simplify: 3(4 + 5)

Back

3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Front

What does it mean to 'distribute' in mathematics?

Back

To 'distribute' means to multiply each term inside parentheses by the term outside the parentheses.

Front

Simplify using the Distributive Property: 5(x + 2)

Back

5(x + 2) = 5*x + 5*2 = 5x + 10.

Front

If a = 2, b = 3, and c = 4, what is the value of 2(b + c) using the Distributive Property?

Back

2(b + c) = 2(3 + 4) = 2*3 + 2*4 = 6 + 8 = 14.

Front

What is an example of the Distributive Property in real life?

Back

If you buy 3 packs of gum that cost $2 each and 3 packs of mints that cost $3 each, you can calculate the total cost as 3($2 + $3) = 3*2 + 3*3 = $6 + $9 = $15.

Front

How can the Distributive Property help in solving equations?

Back

It helps to simplify expressions and make it easier to combine like terms or isolate variables.

Front

Use the Distributive Property to solve: 4(2x + 3) = ?

Back

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

Front

What is the first step in applying the Distributive Property?

Back

Identify the term outside the parentheses and the terms inside the parentheses.

Front

If you have the expression 6(3 + y), what is the simplified form?

Back

6(3 + y) = 6*3 + 6*y = 18 + 6y.