1.03 Simplifying expressions (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 the expression: -4(x + 6) + 2(x - 2)

Back

-2x - 28

Front

Use the distributive property to find an equivalent expression: 5(2f + 4)

Back

10f + 20

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

Simplify: 5n + 11n

Back

16n

Front

What are like terms?

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: 3 - 2a + 3a + 5a

Back

6a + 3

Front

What is a variable in an expression?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.

Front

Simplify: 2(3v - 8)

Back

6v - 16

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.