3.2 Distributive Property + Simplifying Expressions

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

Write an algebraic expression for 'The product of seven and j'.

Back

7j

Front

Simplify the expression: 2(3x - 1) + 10.

Back

6x + 8

Front

Write an algebraic expression for 'a number decreased by 8'.

Back

n - 8

Front

Simplify the expression: -3(x - 2) + 8(2x + 1).

Back

13x + 14

Front

Simplify the expression: -(4x - 3) + 2(x + 5).

Back

-2x + 13

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 simple 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

What is the first step in applying the Distributive Property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

If you have the expression 5(x + 2), what is the simplified form?

Back

5x + 10