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

How do you apply the Distributive Property to 2(5 + 4)?

Back

2(5 + 4) = (2 x 5) + (2 x 4) = 10 + 8 = 18.

Front

What is the first step in solving an equation according to the order of operations?

Back

Whatever's inside the parentheses should be done first.

Front

Use the Distributive Property to simplify 5(a + 6).

Back

5(a + 6) = 5a + 30.

Front

How can you represent 2 x 43 using the Distributive Property?

Back

2 x 43 = (2 x 40) + (2 x 3) = 80 + 6 = 86.

Front

What is the result of 12(3 + 4)?

Back

12(3 + 4) = 12 x 7 = 84.

Front

What does it mean to distribute in mathematics?

Back

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

Front

If you have 3(x + 2), what is the simplified expression?

Back

3(x + 2) = 3x + 6.

Front

What is an example of using the Distributive Property with subtraction?

Back

For example, 4(5 - 2) = 4 x 5 - 4 x 2 = 20 - 8 = 12.

Front

How do you check your work after applying the Distributive Property?

Back

You can check your work by substituting the original expression into the simplified expression to see if they are equal.