## Creating and Identifying Equivalent Expressions

#### Aligned To Common Core Standard:

**Grade 6 Expressions and Equations** - 6.EE.A.3

How to Determine If Two Math Expressions Are Equivalent - When two things are equivalent, they look the same. However, this is not the case in mathematical expressions. Mathematical expressions are a finite combination of well-organized symbols and numbers according to the context of the problem. There is an infinite number of ways to represent equivalent mathematical expressions. But is it also easy to identify them? Two expressions are said to be equivalent when they are the same. Though they may look different, when you plug in the same variables into both the expressions, they will give you the same result upon simplifying. It is not always easy to identify either the given two mathematical expressions are equivalent or not. Let's find out an easy way to do it. Consider this example: X^2 – 9 = (x+3) (x-3) In this example, both expressions are the same. When you simplify the right-hand side of the equation, you will get the same expression. Similarly, when you substitute the value of x with the same number on both sides, you get the same answer. It shows that both these two math expressions are equivalent.

### Equivalent Expression Worksheets And Lessons

- Identifying Equivalent Expressions Step-by-step Lesson- Start off a nice solid multiple choice question.

- Guided Lesson - See if the first question has you scratching your head! A similar questions has been on three national tests for this standard.

- Guided Lesson Explanation - We thought that these need to be explained deeply.

- Practice Worksheet 1 - Time to see if the value of formulas throws kids off a bit.

- Practice Worksheet 2 - The expressions get a bit more complex here.
- Homework 1 - Find the missing value in the expression that would make the statement true.
- Homework 2 - Which expression is equal to the expression 3(x+ 2y+4)?
- Practice 1 - Which expression(s) are equivalent to 5(x - y)+ 3 ? Draw a line to match them.
- Practice 2 - Find the missing value in the expression so that they will be equal.
- Practice 3 - Find the "?" value in the expression so that they will be equal.

#### Homework Sheets

Examples are provided with each of these sheets to help students along when they are doing the work alone.

#### Practice Worksheets

You fill find just about every different way possible to ask these question in here.