Equivalent Expressions

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variable(s) involved.

Front

Simplify the expression: 4(2x-5)+6x

Back

14x-20

Front

Simplify the expression: 5(2x-3)-3x

Back

7x-15

Front

Simplify the expression: 3x+4x+6(x-3)+4

Back

13x-14

Front

Simplify the expression: 3(2x+8)

Back

6x+24

Front

What does it mean to simplify an expression?

Back

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

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is the first step in simplifying an expression using the distributive property?

Back

The first step is to distribute the multiplication across the terms inside the parentheses.

Front

What is the result of simplifying the expression: 10x-16?

Back

8(2x-2)-6x