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How to Check Math Homework
Last Updated: May 10, 2021 References
This article was co-authored by Sean Alexander, MS . Sean Alexander is an Academic Tutor specializing in teaching mathematics and physics. Sean is the Owner of Alexander Tutoring, an academic tutoring business that provides personalized studying sessions focused on mathematics and physics. With over 15 years of experience, Sean has worked as a physics and math instructor and tutor for Stanford University, San Francisco State University, and Stanbridge Academy. He holds a BS in Physics from the University of California, Santa Barbara and an MS in Theoretical Physics from San Francisco State University. There are 9 references cited in this article, which can be found at the bottom of the page. This article has been viewed 14,702 times.
Most people who work hard on their homework want to make sure that they are doing it correctly. When you are working from home, however, you don’t have your teacher to tell you whether or not your answers are correct. There are a number of ways to check math work you do outside of school. By checking your own work, having someone else check your work, or using online tools, you can make sure your solutions are correct before turning in your work.
Checking By Yourself

- If you are doing multiplication, you can check your work by doing repeated addition.
Asking for Help

- Some good sites for going over how to do math problems quickly are Math is Fun [5] X Research source and Virtual Nerd. [6] X Research source

- When you compare your answer with a friend, make sure you are not just changing your answers without learning where you made your mistake. If your friend found the correct answer, have him or her show you how to solve the problem.

- If you do your work at home but don’t feel confident about it, talk to your teacher as soon as possible the next day. They can quickly check your work, and you might have time to correct your answers before turning it in. Likely, you will get credit for trying your best.
Using Resources

- Work through your problems first, and only use the calculator to check your answers. You need to show your work so that your teacher knows you understand how to solve the problems.
- If you don’t have a calculator, you can find a number of online calculators by simply searching for them on Google.

- For algebra, you can use an equation calculator, like Symbolab. [7] X Research source
- For geometry, you can simply type what you are looking for into Google, and a calculator will pop up. For example, if you are finding the area of a triangle, type “area of a triangle” into Google. Then insert your known values into the calculator (such as base and height), and Google will supply the answer.
- There are a number of converters online. Math is Fun has a unit converter that can help you convert from one unit of measurement to another, such as inches to centimeters. [8] X Research source Convert Me has conversion calculators for most measurements, including speed, temperature, and capacity. [9] X Research source

- As when using a calculator or online tools, try doing the problems on your own first, then check your answers.
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- ↑ Sean Alexander, MS. Academic Tutor. Expert Interview. 14 May 2020.
- ↑ http://mathandreadinghelp.org/how_to_estimate_a_math_problem.html
- ↑ http://www.virtualnerd.com/middle-math/equations-functions/expressions/inverse-operations-definition
- ↑ http://www.futurity.org/learning-students-teaching-741342/
- ↑ http://mathisfun.com/
- ↑ http://www.virtualnerd.com/
- ↑ https://www.symbolab.com/solver/equation-calculator
- ↑ https://www.mathsisfun.com/unit-conversion-tool.php
- ↑ http://www.convert-me.com/en/
About this article

To check your math homework yourself, try plugging your answer back into the equation you started with. For example, if you solved for x, plug the value you got for x into the equation and check to see if the equation makes sense. If it doesn't, you know there's something off about your answer. Another way you can check your work is by using an alternative method to solve the problem. If you get the same answer using a different method, there's a good chance your original answer was right. For example, if you're trying to solve 45×3, you could also solve the problem using addition by adding 45+45+45 to get 135. If 135 is the answer you got using multiplication, you know your answer is correct. For more expert math-checking tips, read the full article below! Did this summary help you? Yes No
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Helping Students Learn How to Check Math Work
Strategies for students to check their own math answers.

Do you know what I’m going to say? Here’s what my math students often do (until I teach them math checking strategies) – they look at the math questions, basically make sure that all the questions were answered, and say they’ve checked their work. Unless they are clearly taught otherwise, many students seem to believe that “checking your math work” means “checking to see if everything is done.”
Five Strategies for Checking Math Answers
1) Redo the math problems , on a separate piece of paper, without looking at the work that was already done.
- When students look at the work they already did, it influences them and they sometimes make the same mistake again.
After redoing the math problem, they compare their original math work and answer with the redo. This can take a while, but when students are ready to hand in an assessment with lots of class time left, I recommend they take the time to do this.
2) Use the opposite operation to check , if possible. If the problem was an addition problem, subtract one of the addends from the sum. If it was a division problem, use multiplication to check, and so on.
3) Ask whether the answer is logical. If the problem was 2.56 x 7.91, an answer of 2.02496 (instead of 20.2496), is not logical.
- This is where their estimating skills come in to play. I take a lot of time in my math instruction to model estimating and how to determine if an answer to a math problem is reasonable.
4) Substitute the solution into the equation, if possible. If the solution is correct, the equation will be true.
5) If the test includes word problems, reread each problem carefully to be sure all of the information was understood correctly.
- Look for numbers that are written as words rather than digits.
- Be sure the answer actually answers the question the problem is asking.
I created a How to Check Your Math Work reminder sheet for students to keep in their notebooks. You can download it if you’d like – there’s a colored version and a black and white version, in case you want to print on colored paper.
What strategies for checking math answers do you teach students? How do digital assessments impact the math checking?

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A little confession from me. I was homeschooled (that's not the confession part), and in 8th grade my algebra textbook had the answers to half the problems in the back. And when I was stumped, I would cheat.
Sorry, mom!
Of course, cheating at math is a terrible way to learn, because the whole point isn't to know the answer to 2x + 2 = 7x - 5, it's to understand the methodology that can solve any like problem.
But what if you could cheat at your homework and learn? That seems to be the premise behind app called Socratic . Or at least that's my takeaway. The app lets you take a picture of a problem (you can also type it in, but that's a little laborious), and it'll not only give you an answer, but the steps necessary to to arrive at that answer — and even detailed explanations of the steps and concepts if you need them.
The app is actually designed to answer any kind of school question — science, history, etc. — but the math thing is the slickest part. For other kinds of questions, Socratic kind of does a bit of Googling, and in my experience can typically find similar word problems on the wide internet, or from its own database of answers. On about half the middle school science problems I tried, the app was able to identify the topic at question and show me additional resources about the concepts involved, but for others it was no more powerful than a simple web search.
But for algebra this thing is sick. I pointed it at 2x + 2 = 7x - 5, which I wrote down at random, and it gave me a 10 step process that results in x = 7/5. It has trouble with word problems, but if you can write down a word problem in math notation it shouldn't be an issue. I also tried it on a weird fraction from an AP algebra exam, which it kind of failed at, but then I swiped over and it was showing me this graph, which included the correct answer:
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I love this app, not just because it would've helped 8th grade Paul out of a jam, but because it's such a computery use of computers. You use the tiny computer in your pocket to be basically smarter than you already are. It's technology that augments a human brain, not just a distraction.
The creator of Socratic just open sourced its step-by-step solver , called mathsteps. There are a lot of computer-based algebra solvers out there, but for Socratic they had to do some extra engineering to get at the steps a human would need to solve the same problem.
Also, I'd be remiss not to mention Photomath , which has been doing this since 2014, and actually has step-by-step explanations in the recently released Photomath+ paid version (there's a free trial). I like the Socratic interface and explanations a bit better, but I'm glad to see this is a vibrant market.
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My math teacher recommended this app for me because he noticed I was really struggling with my math homework. When I got home from school that
— but the math thing is the slickest part. For other kinds of questions, Socratic kind of does a bit of Googling, and in my experience can