## Simplifying Linear Expressions

#### Aligned To Common Core Standard:

**Grade 7 Expression & Equations** - 7.EE.A.1

How to Simplify Linear Expressions? Simplifying linear expressions is a commonly occurring mathematical operations especially for the kids in senior standards in their schools. Many students are often confused in terms of what is the right way of simplifying a linear expression. So, let’s learn to simplify some linear expressions with the help of a few examples: -2 (v + 3) + 6v The rule that needs to be used here is called BODMAS i.e. (Bracket, divide, multiply, addition, and subtraction). This is the order in which the equation needs to be solved. Let’s apply this rule on the equation step by step: -2v + 6 + 6v Now, it’s time to add the values that have the same variables: 4v + 6 Let’s try another example: 5 (4y + 2) – 12 Using the same rule: 20y + 10 – 12, 20y – 2 In this case, the equation can be simplified even further because the two constants can be divided by the same number, 2. Hence, 2(10y – 1)

### Printable Worksheets And Lessons

- Expression of a Rectangle
Step-by-step Lesson- It's neat how algebra meets up with geometry
sometimes. I like to call the two of them the "Math Avengers".
Let that sink in.

- Guided Lesson
- We work on equivalent expressions, using area and perimeter. We
finish of by critiquing Suzanne's math skills.

- Guided Lesson Explanation
- I never realize how much writing goes into these explanations.
No wonder you never find them laying around the Internet much.

- Practice Worksheet
- A serious review of all the major skills are found in this one.
A big help.

- Matching Worksheet
- Okay, I kind of blew it with choices "B" and "H".

- Evaluating Variable Expressions
Five Worksheet Pack - You're given an equation and the variables
to plop into them. Make it roll!

- Simplify Expressions Five Worksheet Pack - Some of these problems can confuse you if you don't pay attention. Just start the obvious part and then rewrite it.

#### Homework Sheets

When you throw just a smudge of geometry in there with expressions students tend to draw a blank.

- Homework 1 - A rectangle is eight times as long as its width. One way to write an expression to find the perimeter would be: m + m + 8m + 8m
- Homework 2 - Aliya says the two expressions 6(a + 3) + 3a and 3(3a + 6) are equivalent? Is she correct? Explain why or why not?
- Homework 3 - An equilateral triangle has a perimeter of (6x + 12). What is the length of each side of the triangle?

#### Practice Worksheets

It's all about combining those like terms in the expressions.

- Practice 1 - Write an equivalent expression for 8(2x + 10) – 12
- Practice 2 - See if you can break this down.
- Practice 3 - An equilateral triangle has a perimeter of (81x + 63). What is the length of each side of the triangle?

#### Math Skill Quizzes

Don't let the exponents confuse you, they are just a type of variable like anything else.