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Simplifying Linear Expressions

Answer Keys Here

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

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.

  • Quiz 1 - Evaluate: (5x – 2y) X 2 – (8 – xy + 8) for x=-3 and y=5
  • Quiz 2 - Simplify all the expressions.
  • Quiz 3 - Evaluate: 6x – 8y + 6x – 4xy + 6 for x=- 2 and y=4