Combine Like Terms and Expand Terms
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
- Two Term Expressions Step-by-Step Lesson- There are only two different terms here for you to work with.
- Guided Lesson - It's all about simplifying what you are presented with.
- Guided Lesson Explanation - These are two step problems, at best.
- Independent Practice - Ten problems for you to go crazy on and enjoy.
- Matching Worksheet - Match the expression and the mega simplified terms.
The homeworks contain exponents. I will be creating some without exponents soon.
- Homework 1 - We see two common terms: a) x2 b) x
- Homework 2 - Put the like parts together.
- Homework 3 - Combine them by adding.
It is all about simplifying the terms that you are shown.