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REAL WORLD PROBLEMS:
How to Write Equations Based on Algebra Word Problems

I know that you often sit in class and wonder, "Why am I forced to learn about equations, Algebra and variables?"

But... trust me, there are real situations where you will use your knowledge of Algebra and solving equations to solve a problem that is not school related. And... if you can't, you're going to wish that you remembered how.



It might be a time when you are trying to figure out how much you should get paid for a job, or even more important, if you were paid enough for a job that you've done. It could also be a time when you are trying to figure out if you were over charged for a bill.

This is important stuff - when it comes time to spend YOUR money - you are going to want to make sure that you are getting paid enough and not spending more than you have to.

Ok... let's put all this newly learned knowledge to work.

Click here if you need to review how to solve equations.

There are a few rules to remember when writing Algebra equations:

  • First, you want to identify the unknown, which is your variable. What are you trying to solve for? Identify the variable: Use the statement, Let x = _____. You can replace the x with whatever variable you are using.

  • Look for key words that will help you write the equation. Highlight the key words and write an equation to match the problem.

  • The following key words will help you write equations for Algebra word problems:

word problem terms

Let's look at an example of an algebra word problem.





algebra word problems

algebra word problems

algebra word problems



Where Can You Find More Algebra Word Problems to Practice?

Word problems are the most difficult type of problem to solve in math. So, where can you find quality word problems WITH a detailed solution?

The Algebra Class E-course provides a lot of practice with solving word problems for every unit! The best part is.... if you have trouble with these types of problems, you can always find a step-by-step solution to guide you through the process!

Click here for more information.



The next example shows how to identify a constant within a word problem.


algebra word problems examples

algebra word problems





The last example is a word problem that requires an equation with variables on both sides.


algebra word problem example







I know many students have difficulty with word problems. However, if you break the problem apart and think about what you are being asked to solve, it becomes a little easier.

Congratulations! If you've followed all of the solving equations lessons, you have now completed your first unit in Algebra!

Other Lessons You Might Like on Solving Equations


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