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 single term by two or more terms inside a set of parentheses.

Front

How do you apply the Distributive Property to 2(3 + 4)?

Back

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

Front

What is a factor?

Back

A factor is a number that divides another number without leaving a remainder.

Front

Which of the following is a factor of 24: 3, 24, 6, or 7?

Back

3, 24, and 6 are factors of 24. 7 is not.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms or using the Distributive Property.

Front

What is the equivalent expression for -3(3x - 12)?

Back

-3(3x - 12) = -9x + 36.

Front

What is the equivalent expression for 34c - 17?

Back

34c - 17 = 17(2c - 1).

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.

Front

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

Back

2(a + b) = 2(2 + 3) = 2*5 = 10.

Front

What is the result of 5(x + 2)?

Back

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