Check 17 - 30% Reduced (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: 5(x + 4)

Back

5x + 20

Front

Simplify the expression: 7(x - 1)

Back

7x - 7

Front

Simplify the expression: -3(4n - 7)

Back

-12n + 21

Front

Simplify the expression: -3(n + 6)

Back

-3n - 18

Front

Simplify the expression: -5(x - 9)

Back

-5x + 45

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 and eliminating parentheses.

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

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 4(a + b)?

Back

4(2 + 3) = 4(5) = 20.