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

Simplify: 6(x + y + 7)

Back

6x + 6y + 42

Front

Simplify: 7a(3b - 2c + 4)

Back

21ab - 14ac + 28a

Front

Use the distributive property to simplify: 5(4x - 7)

Back

20x - 35

Front

Which expression is equivalent to 24x + 32x - 16?

Back

8(3x + 4x - 2)

Front

What is the result of 2(c - 8)?

Back

2c - 16

Front

If a = 3, what is the value of 2(a + 4)?

Back

14

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, combining like terms and eliminating parentheses.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

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.