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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

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Asking for Help

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Using Resources

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About this article

Sean Alexander, MS

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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1.Elementary arithmetic, such as:

2.elementary arithmetic with question no., such as:, 3.find the missing number in an equation, such as:, 4.determine the missing operation in an equation, such as:.

7.Vertical calculation, such as:

8.Unit conversion, such as:

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Helping Students Learn How to Check Math Work

Strategies for students to check their own math answers.

Use this free resource to help your math students learn to check their work!

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.

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.

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.

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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Get the math app that gets you! Photomath is the world’s most useful math learning platform, with millions of learners of all levels checking homework, studying for tests, and making new math discoveries every month. Basic solution steps and explanations are totally FREE, but if you’re ready for a brand new world of learning, Photomath Plus gives you access to: EXPERT UNDERSTANDING With access to a full library of explanations for selected textbooks, including word and geometry problems! Learn at your own pace with content that’s been approved by some of the world’s best math teachers. MULTIMEDIA LEARNING With detailed AI animations and verbal explanations to help you visualize and understand math in a way that’s suited to your learning style. MATH INSIGHTS Level up your learning by understanding “how” and “why” math problems are solved, or get reminders for forgotten terms and concepts with our embedded glossary. So whether you’re learning basic arithmetic, or tackling advanced geometry, we’ll get you there together. One step at a time. KEY FEATURES • Free step-by-step explanations • Word problem instructions • Interactive graphs • Video learning • Multiple solution methods • Advanced scientific calculator MATH TOPICS COVERED NUMBERS & QUANTITY - Operations with Real and Complex Numbers - Comparing Real Numbers - Identifying Numbers FUNCTIONS - Graphs of Functions (Linear, Quadratic, Exponential, etc) - Properties of Functions (Domain, Asymptotes, etc) ALGEBRA - Simplifying, Factoring, and Evaluating Algebraic expressions - Simplifying Algebraic fractions and Partial-fraction decomposition - Solving equations and inequalities (Linear, Quadratic, Exponential, etc) - Systems of equations - Polynomial Division - Binomial theorem, Factorials - Combinations, Permutations, and Variations - Matrices and Matrix equations - Determinants - Mathematical Induction TRIGONOMETRY & ANGLES - Converting angles between degrees and radians - Converting angles between decimal and DMS form - Period of trigonometric functions - Verifying trigonometric identities SEQUENCES - Identifying sequences - Series - Recursive and Explicit form - Tests for Convergence CALCULUS - Limits - Derivatives - Integrals - Area below a curve - Identifying Conics - Rotations of Conics - Parametrization of Curves - Identifying quadratic surfaces - Differential equations - Tangent lines - Converting between coordinates “An answer isn’t all you’ll get from this free app. Photomath also provides a step-by-step guide of how each problem is solved.” — Huffington Post “The step-by-step guide is beneficial to students that do not have access to a tutor and struggle with solving math problems.” — Forbes “A viral video about a new app looks like a dream come true for anyone who struggles with math.” — Time ___________________________________________ • Payment will be charged to your Apple ID account at the confirmation of purchase. • A subscription automatically renews unless it’s canceled at least 24 hours before the end of the current billing period. • Your account will be charged for renewal within 24 hours prior to the end of the current period. • Manage or cancel your subscription in your account settings on the App Store after purchase. • Offers and pricing are subject to change without notice. Suggestions or questions? Email us at [email protected] Website: www.photomath.com TikTok: @photomath Instagram: @photomath Facebook: @Photomathapp Twitter: @Photomath Terms of Use: https://photomath.com/en/termsofuse Privacy Policy: https://photomath.com/en/privacypolicy

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While there are still 1 or 2 math topics this app isn’t exactly able to help with as of yet, its a WONDERFUL app that can solve about 90% of math problems, be them common algebra or highest and hardest level college equations. Nevertheless, you want this app on your side when doing math of pretty much and and all kinds. Its main function allows you to take pictures of math equations and, incase you accidentally have parts of other equations in the picture you took, you can crop them out as soon as you snap the picture, and it solves the equation for you as soon as you hit the ‘OK’ button. It also has a calculator where you can manually enter equations and have them solved. Its useful incase you realized you wrote an equation wrong, because you can just go right to the calculator part and fix it, as all the parts of the equation the app saw in the photo gets immediately put in the calculator. The best part, in my opinion, is the last function where it tell you exactly how it solved the equation, and it even lets you view every single step and gives you a brief but good explanation on what’s happening in the step. If you also scroll down while in the same function, if you took a pic of an equation that need to be graphed, you can actually see the equation graphed out for you. Its a very nice app and i HIGHLY recommend.

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Ok to start this off, I wanna say this is easily the best math app I have ever had. I’m in 8th grade and I’m learning a lot of new and confusing stuff that I don’t understand. Photo math breaks down the problems for you and it’s totally free! 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 day, I downloaded it and I was really impressed with this app overall! All I had to do was take a picture of my math problem and it would pull up the answer. I could see if I got it wrong or right, and if I got it wrong, Photo Math broke down the problem for me so I could better understand it. This app has helped me understand math better and helps me with challenging homework. (This app is great as long as you’ve already done the problem and your not cheating.) Don’t get this app just to get the answers to all your math problems. The app overall doesn’t have many problems, it doesn’t glitch or freeze up. Overall I love this app and recommended to many students in my math class! They love it too! -Sophie (8th grade)

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By Paul Miller / @ futurepaul

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checking your math homework

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:

checking your math homework

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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COMMENTS

  1. 3 Ways to Check Math Homework

    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

  2. Mathway

    Free math problem solver answers your algebra homework questions with step-by-step explanations.

  3. CheckMath, Instant Homework Helper

    CheckMath is a useful math learning tool for students, parents, and teachers. Powered by AI-based image recognition technology, the ease-of-use app allows

  4. Solve

    QuickMath allows students to get instant solutions to all kinds of math problems, from algebra and equation solving right through to calculus and matrices.

  5. WebMath

    WebMath is designed to help you solve your math problems. Composed of forms to fill-in and then returns analysis of a problem and, when possible, provides a

  6. Is There an Online Math Homework Checker?

    You can find online homework checkers that cover basic math skills, as well as high school algebra, geometry, trigonometry and calculus, at Brightstorm (www.

  7. 🧮 Do My Math Homework Properly, Please

    Whether you need to solve linear equations or exponential and logarithmic functions, our specialists can do math homework of the highest quality. Check what

  8. Helping Students Learn How to Check Math Work

    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. · After

  9. Photomath on the App Store

    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

  10. This app doesn't just do your homework for you, it shows you how

    — 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