lesson 9 simplify expressions

Front

What is the distributive property in algebra?

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: 9(10 – 8x) + 4x

Back

– 68x + 90

Front

What does it mean to simplify an expression?

Back

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

Front

Which property allows you to combine like terms?

Back

The Commutative Property of Addition allows you to rearrange terms, and the Associative Property allows you to group them differently.

Front

Simplify the expression: -8 - 9(5 + 2x)

Back

-18x - 53

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 the expression: 3x² - x + 7 + 5x + 2 - 2x²

Back

x² + 4x + 9

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

Front

Simplify the expression: 3m - 15 + 2m - 4

Back

5m - 19

Front

What is the first step in simplifying an expression?

Back

The first step is to identify and combine like terms.