Equivalent 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: (1 − 7n) ⋅ 5

Back

5 − 35n

Front

Simplify: 8(−b − 4)

Back

−8b − 32

Front

Simplify: 5(n + 6)

Back

5n + 30

Front

Simplify: (x + 9) ⋅ 5

Back

5x + 45

Front

Simplify: −3(x − 5)

Back

−3x + 15

Front

What does it mean for expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variable(s) involved.

Front

How do you apply the Distributive Property to simplify expressions?

Back

To apply the Distributive Property, multiply the term outside the parentheses by each term inside the parentheses.

Front

What is an example of using the Distributive Property with negative numbers?

Back

Example: 3(-x + 4) = -3x + 12.

Front

What is the result of distributing a negative sign?

Back

Distributing a negative sign changes the signs of the terms inside the parentheses. For example, -1(a + b) = -a - b.