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

Expand and simplify: 4(7x + 3)

Back

28x + 12

Front

Expand and simplify: 7a(3b - 2c + 4)

Back

21ab - 14ac + 28a

Front

Expand and simplify: 5(a + 6)

Back

5a + 30

Front

Expand and simplify: 6(x + y + 7)

Back

6x + 6y + 42

Front

Which of the following is equivalent to 4(2x + 3)?

Back

8x + 12

Front

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

Back

21

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to make the expression as concise as possible.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

Expand and simplify: 2(3x + 4y)

Back

6x + 8y