Home > Math Topics > Algebra >

Combine Like Terms and Expand Terms

Answer Keys Here

Aligned To Common Core Standard:

Grade 6 Expressions & Equations - 6.EE.A.4

How to Combine Like Terms and Expand Terms - When you are learning algebra or polynomials in general, you need to learn to combine and to expand terms. However, there are different reasons why you need to combine or expand like terms. Firstly, if you wish to simplify the answer to your solution, then you combine relevant terms. Secondly, if you want to solve algebraic terms further or you want to prove a question, then you can expand terms too. Now, you need first to identify which terms are similar and their reason. Here, there is a list that tells us the same terms. 4x and 3, these are not like terms because one contains a variable, and other doesn't. 4x and 3y, these are not like terms because both variables are different. 4x and 3x2, these are partially like terms because both variables have different exponent values. 4x and 3x, these are like terms because both contain the same variables, with the same exponent values. After you identified like terms, you can combine them accordingly. However, to expand terms, you have multiple methods. Firstly, you can multiply constants and variables outside the brackets with the inner variables. Secondly, you can also expand them based on different formulae. For instance, (x+2)2 = x2 + 2x + 4. This section of worksheets helps students learn the two fundamental algebra skills a) how to combine like terms and b) how to expand terms when needed.

Printable Worksheets And Lessons

Homework Sheets

The homeworks contain exponents. I will be creating some without exponents soon.

Practice Worksheets

It is all about simplifying the terms that you are shown.

  • Practice 1 - Simplify all the expressions present on this worksheet.
  • Practice 2 - Rewrite each expression in its simplest form.
  • Practice 3 - Get after it champ!

Math Skill Quizzes

The quizzes are more matter of fact and need little explanation.

  • Quiz 1 - How would you combine these: 9xy + 2x2y + 7xy + 4x2y ?
  • Quiz 2 - Write each expression in its simplified form.
  • Quiz 3 - Expand each expression.