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Explaining How to Solve Equations

Answer Keys Here

Aligned To Common Core Standard:

High School - HSA-REI.A.1

Explain how to Solve Equations - The trickiest part of algebra is equations and how to solve them. Here, we will make it as easy as possible for you. Before solving equations, let's have a clearer image of what equations are: Think of equations as balance. They consist of an "equals" sign, which means that whatever is on the right side of the sign is equal to what is on the left side. The equal sign is the midpoint and whatever operations you perform on the left side also has to be done on the right side as well. Solving equations are not as difficult as they seem. Now that you know that the operations have to be the same on both sides of the equals sign. It’s basically solving information. Let’s say that you’re solving the equation for the value of x, so you have to place x on one side so that it gets easier for you to solve. Now let's take an example: x + 9 = 12 The next step will be taking x on one side; x = 12 - 9, x = 3 Hence, the answer we get is 3. These worksheets and lessons help students to understand the steps that they should take to solve an equation. They go further to help explain how the steps they took to complete these problems.

Printable Worksheets And Lessons

Homework Sheets

You might be able to solve equations with ease, but can you explaining it.

  • Homework 1 - The first thing we need to do here is get all the variables on one side (in this case – the left side) and all the numbers on the other.
  • Homework 2 - After that, you have to add those two numbers.
  • Homework 3 - What is left now is to get rid of the number next to the variable.

Practice Worksheets

This reminds of my public speaking class. They asked me to explain how to tie your shoes, hardest day ever!

  • Practice 1 - Explain in detail how to solve for the variable x.
  • Practice 2 - These can be completed in two steps.
  • Practice 3 - We use slightly larger operations here.

Math Skill Quizzes

I focused more on the skills for the quiz than the explanations.

  • Quiz 1 - Make sure to number your steps, as you explain them.
  • Quiz 2 - This is a good tool, if students are not strong with their operations.
  • Quiz 3 - They need extra space to work on this one.