Distributive Law

Front

What is the Distributive Law?

Back

The Distributive Law 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

Expand: 3(x + 4)

Back

3x + 12

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

Expand and simplify: 5(a + 2b) + 3(2a + b)

Back

5a + 10b + 6a + 3b = 11a + 13b

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

Simplify: 4x + 3x

Back

7x

Front

Expand: 2(3x + 5)

Back

6x + 10

Front

What is the perimeter of a rectangle?

Back

The perimeter of a rectangle is calculated as P = 2(length + width).

Front

If the length is 3x and the width is 2x, what is the perimeter?

Back

P = 2(3x + 2x) = 10x.

Front

Expand and simplify: 4(2x + 3) - 2(x + 5)

Back

8x + 12 - 2x - 10 = 6x + 2.