Creating 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 variables involved.

Front

What does it mean to simplify an expression?

Back

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

Front

What is the distributive property?

Back

Front

How do you combine like terms?

Back

You combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Front

What is the first step in creating an equivalent expression?

Back

The first step is to identify and apply the distributive property if necessary.

Front

Back

Front

What does it mean to factor an expression?

Back

Factoring an expression means to express it as a product of its factors.

Front

What is a common factor?

Back

A common factor is a number or variable that divides two or more terms evenly.

Front

How do you check if two expressions are equivalent?

Back

You can check if two expressions are equivalent by substituting the same values for the variables and comparing the results.

Front

What is the purpose of using parentheses in expressions?

Back

Parentheses indicate which operations should be performed first in an expression.