E - Equivalent Expressions Lesson

Math_Lesson_TopBanner.png Equivalent Expressions

Recall that a term is a number, a variable, or a product or quotient of numbers and variables. Like terms are terms that contain the same variable, with corresponding variables having the same power.  

3x2+2x-5 has 3 distinct terms, but no like terms.

2y2+6y2+5y has 3 terms and 2 of them are like terms. We can simplify this expression by combining the like terms, 2y2 and 6y2 to get 8y2+5y.

Example:

The distributive property and the properties of equality can be used to show that.

4d+8d=12d. 4d and 8d are like terms. 4d+8d=(4+8)d 4d+8d and 12d are called equivalent expressions because they denote the same number.

An expression is in simplest form when it is replaced by an equivalent expression having no like terms or parentheses.

Watch the videos below to learn more about equivalent expressions. 

Writing and Evaluating Expressions and Equivalent Expressions Assignment

Download the "Writing and Evaluating Expressions and Equivalent Expressions Assignment " by clicking here. Be sure to work all of the problems on paper. You will use these problems and solutions to complete the "Writing Evaluating Expressions and Equivalent Expressions Homework Quiz 2 " Remember you can always go back and review the lessons and videos for more help. Links to an external site.

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