websites that solve word math problems

Word Problem Calculator

Get detailed solutions to your math problems with our word problem step-by-step calculator . practice your math skills and learn step by step with our math solver. check out all of our online calculators here .,  example,  solved problems,  difficult problems, struggling with math.

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AI Math Homework Solver & Helper

AIR Math Student

Take a photo of any math question and we will reply instantly!

Our math experts from all around the world available 24/7!

Want to know more than just the answer? Learn how to solve your problem!

Our AI search engine covers every math topic including graphs and diagrams!

You Ask? We Answer Instantly!

Stuck on your homework? Need not worry! Our authentic AI tech will auto-recognize the photo scanned problem and solve all your math homework! The best part is, AIR MATH is all FREE.

Snap, Tap, Answer in a Zap!

It’s so simple. Just give it 3 seconds and your answer will be there! No more wasting time to find the right solution. Our authentic AI technology will give you the answer right away!

Expert tutors will give you an answer in real-time, 24/7!

And yes, even for word problems. Geometry, Algebra, and Calculus - You name it! As long as it’s a math question, our tutors are ready to answer them 24/7 around the clock.

I mean... Let's face it. Most of you tech-savvy MZ gens probably already know how by now, but it doesn't hurt to elaborate a bit, right? We tried to make this process as hassle-free as possible, so we've narrowed it down to two methods. You can use either of the two: 1. Sign in with Apple 2. Sign in with Google And use the account linked to either of the platforms. Apple and Google will take good care of you from then on.

AIR MATH is an AI-powered math homework helper app designed to fit the needs of students struggling with math homework and test prep. AIR MATH scans the photo of every submitted math problem using our authentic AI-Ed technology and will provide you with an answer to your math homework in no time! It can recognize virtually anything, from simple equations to word problems. Whether it be your school homework, test prep, or just materials for your daily studies, AIR MATH's got you covered. AIR MATH also provides a 1:1 live chat service with expert tutors who are on stand-by 24/7 to give you thorough step-by-step solutions to your math problems. Come check it out now!

AIR MATH Chrome Extension is basically the web version of AIR MATH Homework Helper! You can download the extension from the Chrome Web Store and install it on your Chrome browser. Just one click and your're done! Once you install it, you can snap and crop your math problem from the web and ask for a solution straight from the web! Logging onto your account from the web will automatically sync your math problems and solutions onto your AIR MATH mobile app as well. Linking your account onto the mobile version will enable you to use other features that are only available on the mobile as well!

HOW TO USE AIR MATH HOMEWORK HELPER (MOBILE) TO THE FULL (AIR MATH: 101) 1. Stuck on your math homework / school assignment / test prep? It’s okay to be completely clueless. 2. Grab your smartphone. 3. Take a photo of the question you’re stuck on. That’s right! Photo scan it and give it a few seconds. Our authentic AI-recognition tech will search for matching solutions in just seconds! 4. Voila! You are provided different types of solutions for your math question. Not sure which one to choose? Tap on each of the solutions and see which one best fits your needs. 5. Yikes, did you get an answer but couldn't understand why or how such a solution was given? No worries, we have expert tutors on stand-by 24/7. Ask a tutor for a step-by-step walk-through. 6. In less than 5 minutes, you will be connected to one of our expert tutors. Just hit that "Ask Expert Tutors" button and chillax. 7. You can have a 1:1 live chat session with the tutor and ask for a thorough step-by-step explanation of how to derive an answer. Easy-peasy-lemon-squeezy! 8. Oh, we know you have more problems to solve! Now, back to Step 1.

HOW TO USE AIR MATH HOMEWORK HELPER (WEB) TO THE FULL (AIR MATH: 101) 1. Fire up that laptop/desktop PC. 2. Stuck on your math homework / school assignment / test prep? It’s okay to be completely clueless. 3. First things first, go to the Chrome Web Store and download our AIR MATH Chrome extension. 4. All done? Now, go back to your geometry problem that you were stuck on, then right-click on your mouse. 5. You will see the AIR MATH extension show up on the menu. Click on it! 6. Crop the math question that you need to solve, and then click on the "Search" button that shows up. 7. Ta-da! There's your answer!

1. Prepare a math problem; any equation or word problem. Geometry? Algebra? Calculus? Just bring it on! 2. When you first open the AIR MATH app, the home screen will show you a camera screen. 3. Position your smartphone close to the problem and place the problem within the guideline, then snap! 4. Your problem wasn't scanned within the guideline? Don't you worry! After you photo scan your problem, you can adjust the guideline to crop the part that you need from the question. 5. Our AI tech will then auto-recognize the problem and come up with possible answers in seconds. It'll come up with different ways of solving the problem. Tap on each solution and choose the answer that best fits your need.

Sure thing! In order to use the photos that you already have, just give permission to use your Photo Library and you're all set! When you first enter the app, you will see the camera screen, and on the top middle part, you will see two icons; an image icon and a flash icon. Tap on the image icon on the left and you will be able to choose the pictures that you want to share from your Photo Library. Just remember, it has to be a math question or else AIR MATH Homework Helper won't recognize the picture!

For now, you can only upload one image at a time. This is because AIR MATH can recognize one problem at a time. It cannot recognize and solve multiple questions at the same time. For example, say you have a set of geometry questions that you need answers to, and you have taken photos of each question separately, then you must upload the photo one at a time. Uploading multiple math questions in one photo won't work either!

Once you take a photo and scan the problem you're having trouble with, AIR MATH will come up with possible solutions to your question. Look through each solution and see if any of it matches your need. If the solution is too difficult to understand or doesn't quite match your question, hit that "Ask Expert Tutors" button below the solutions. It may take up to five minutes before you're connected to a tutor. 1:1 live chat will be available once you're connected and you can ask the tutor if you have any questions regarding the problem. Once your tutor has given you an answer and you feel that the given solution is good enough, you can tap on the "End Chat" button to close the session. That's all there is! That wasn't so hard, was it?

Oh, so you still haven't heard? Our AIR MATH app is powered by AI and all answers are machine-learned. The math data that have been accumulated within the app enables AIR MATH to continuously evolve and develop - meaning, all answers to your math questions and problems are calculated and solved using our AI technology. Of course, the trustworthiness is guaranteed! Have faith, my friend!

A BIG YES! Our tutors are all certified tutors who have gone through a very strict screening, testing, and background check-ups. We also consistently do quality checks on their answers to the math problems that they give to our users. If you find any of their answers incorrect or inadequate, you can also rate them and report them to us and we will take necessary actions accordingly. So, don't you worry about a thing!

Basic Math Pre-Algebra: Arithmetic, proportional, integers, fractions, decimal numbers, powers, roots, factors, complex numbers Algebra: Linear equations/inequalities, quadratic equations/inequalities, logarithms, functions, graphing, polynomials Geometry: Plane/solid geometry, constructions, measurement formulas, formal proofs Precalculus: Identities, logarithmic functions, exponential functions, trigonometric functions, series and sequences, probability, statistics, limits, derivatives Trigonometry: Circular and periodic functions Calculus: Series, limits, derivatives, integration, differentiation Statistics: Combinations, permutation, factorials Discrete Mathematics Finite Mathematics Differential Equations Business Math BAAM! 😎

Yes, for sure! AIR MATH's AI recognition technology enables it to recognize not only the ordinary equations of various subjects but word problems as well. It will read your word problem and provide a few options of step-by-step solutions for you to choose from. Easy like a breeze!

Urr... Yes and no? You can photo scan your handwritten problem and ask for a solution to it, but if you mean if there is a handwriting feature to write out the question on the app directly, then it's a no. If we see that more and more users are asking for the said feature, we will definitely take it into consideration. That's a pinky promise.

Sadly, no. AIR MATH's tutor system does not allow a student to designate or reconnect to a certain tutor to solve your math problem. However, if we see a growing need for this, we will definitely take this into consideration.

Oh, yikes! I'm glad that you liked our tutor, but unfortunately, we do not give out personal information of the tutors, and so it's not possible to contact a specific tutor. But the good news is, that all other tutors are equally good at solving math problems! You may be connected to a random tutor, but all tutors that work with AIR MATH are certified, tested, and monitored constantly. You can trust them and ask any and every math questions you have. They'll give you a solution to your problem in a zap!

It's actually pretty simple. Just open the app, position your math problem that you need to solve within the guideline, then snap and tap to upload your question. It's okay if your problem was not photo scanned exactly within the guideline, because once you take a picture of it, you can later adjust and crop the math problem. Once you upload your math question, AIR MATH will come up with possible solutions to your problem in about 10 seconds. Now, wasn't that easy?.

No, no one but yourself can see the math questions that you have asked on AIR MATH... We do, however, accumulate all the math problems that all our users have asked so that our AI technology can use them as databases and become even faster when giving answers!

Well, that really depends. Our AIR MATH math homework helper/solver app itself only uses one system language: English. However, our tutors are from all across the globe and if you happen to use any of their languages, well, then that's up to you to decide if you want to use another language when asking for step-by-step solutions to your math problems from the tutors via live chat sessions. (We respect diversity!)

The Bookmarks feature enables you to literally "bookmark" any step-by-step solutions that you receive from AI regarding your math questions. Open AIR MATH, photo scan a problem that you're stuck with, then tap and upload. Wait for 10 seconds until you're given a step-by-step solution by AIR MATH AI. Once your answer is provided, you will see the "Bookmarks" icon at the top right corner along with the "Share" icon (second to far right). Tapping on the Bookmarks icon will add that answer in your Bookmarks tab. Later, when you want to go back to see this problem again, tap on the "History" tab on the bottom right corner, then you will see "Answers" and "Bookmarks" tabs. Go to the "Bookmarks" tab and you will see the step-by-step solutions to the math questions that you have added.

AIR MATH math homework helper/solver app is currently available both on iOS and Android. For iOS, any devices running on versions 14.4 and up can download and use the AIR MATH app. You can now also use AIR MATH on the web as well as a Chrome extension! We will be continuing to add support for new versions as well, so please stay tuned!

Tickets/ PASS

The ticket system is the actual key player of AIR MATH Homework Helper app that helps you get through with your math homework. There are three types of tickets on AIR MATH: Search tickets, Question tickets and Writing tickets. Search tickets are used for searching for answers to a math problem, and Question tickets are used for asking for more precise solutions to math problems to tutors. Writing tickets are used for supercharging your essay. The rule is simple: one ticket per one question or essay!

Yes, there is! Each ticket has its own expiration date, so please be sure to check it from the Ticket page! Tickets with earliest expiration dates will be used up first.

You can earn extra free tickets by inviting new friends to download and try out AIR MATH Homework Helper app. Once your friend downloads and enters your invitation code, free tickets will be given right away. That's not all! You'll be rewarded with free tickets if you check-in on a daily basis! Check out the Ticket page for more details!

First, enter the app, then open your Ticket page. You will see your Friend Invitation Code. Copy the code and share it with your friends. When your friends download the app and enter your invitation code when signing up, you will be automatically given a set of free tickets!

Not to worry! Being asked to retake a math question does not mean that you will have to use another question ticket. The question ticket that you have used up for your math problem (which you also need to retake a photo of) will be returned and you can use it for the retake!

Ticket refills are there to allow you to purchase extra question tickets when necessary. If you are already on a subscription, there's going to be a little benefit when purchasing a refill!

AIR MATH Pass is our subscription system which gives out unlimited search tickets and a set of question tickets. There are various options to your subscription period; from 1 month plan to 1 year plan! Come take a look at our subscription plans and select whichever that best suits your interest!

Oh, it's definitely going to be worth it. You won't have to worry about how many tickets you have left, because we will provide an ample amount for you to use during your subscription period! The AIR MATH Homework Helper PASS will enable you to access and use the service both on the web and on the mobile app! Life made easier! (Wink, wink!)

You can purchase the PASS from the My Tickets page within the AIR MATH Homework Helper mobile app! All products are purchasable through either Apple App Store or Google Play Store in-app purchase system.

You can check your purchase history or status from either Apple App Store or Google Play Store.

You can check for all things related to subscription cancellation, refund, and more from the Apple App Store or Google Play Store.

Please take a screenshot of your purchase receipt and then send it to our Help Desk or <[email protected]>! We'll hand it over to our AIR MATH Help Center and try to figure out the problem and solution.

Please try contacting the Apple App Store or Google Play Store for any payment issues.

To change the payment method, you must access your app store and change the payment method that you have registered on it.

If you wish to change the subscription plan that you are currently on, you must first cancel the current subscription plan from your app store so that it does not recur on its next billing cycle. Then, you can choose another plan that you wish to use. Please note that the current subscription plan that you're on will last until your next billing cycle and your changed plan will apply from the next subscription term!

Tech issue / Troubleshooting

This may be because the type of question that you asked has not been asked before, therefore the question is not in our database as of yet. Please try the "Ask Expert Tutors" feature and ask for a step-by-step solution directly. If this is not about our AI not being able to recognize your problem, then please check to see if your AIR MATH app is running on the latest version and take a screenshot or a screen recording and send it to us via "Contact Us."

Oof! So sorry to hear that you're experiencing malfunctions with our app! In this case, please first check to see if your AIR MATH app is running on the latest version. Then, please take a screenshot or screen recording of the problem that you're experiencing and send it to us via "Contact Us." It'd be certainly helpful if you can describe the issue in detail (e.g. during what stage the app froze or tapping on a certain button caused a crash, etc.) so that our developers will know where to look into.

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Solving Word Questions

With LOTS of examples!

In Algebra we often have word questions like:

Example: Sam and Alex play tennis.

On the weekend Sam played 4 more games than Alex did, and together they played 12 games.

How many games did Alex play?

How do we solve them?

The trick is to break the solution into two parts:

Turn the English into Algebra.

Then use Algebra to solve.

Turning English into Algebra

To turn the English into Algebra it helps to:

• Read the whole thing first
• Do a sketch if possible
• Assign letters for the values
• Find or work out formulas

You should also write down what is actually being asked for , so you know where you are going and when you have arrived!

Also look for key words:

Thinking Clearly

Some wording can be tricky, making it hard to think "the right way around", such as:

Example: Sam has 2 dollars less than Alex. How do we write this as an equation?

• Let S = dollars Sam has
• Let A = dollars Alex has

Now ... is that: S − 2 = A

or should it be: S = A − 2

or should it be: S = 2 − A

The correct answer is S = A − 2

( S − 2 = A is a common mistake, as the question is written "Sam ... 2 less ... Alex")

Example: on our street there are twice as many dogs as cats. How do we write this as an equation?

• Let D = number of dogs
• Let C = number of cats

Now ... is that: 2D = C

or should it be: D = 2C

Think carefully now!

The correct answer is D = 2C

( 2D = C is a common mistake, as the question is written "twice ... dogs ... cats")

Let's start with a really simple example so we see how it's done:

Example: A rectangular garden is 12m by 5m, what is its area ?

Turn the English into Algebra:

• Use w for width of rectangle: w = 12m
• Use h for height of rectangle: h = 5m

Formula for Area of a Rectangle : A = w × h

We are being asked for the Area.

A = w × h = 12 × 5 = 60 m 2

The area is 60 square meters .

Now let's try the example from the top of the page:

Example: Sam and Alex play Tennis. On the weekend Sam played 4 more games than Alex did, and together they played 12 games. How many games did Alex play?

• Use S for how many games Sam played
• Use A for how many games Alex played

We know that Sam played 4 more games than Alex, so: S = A + 4

And we know that together they played 12 games: S + A = 12

We are being asked for how many games Alex played: A

Which means that Alex played 4 games of tennis.

Check: Sam played 4 more games than Alex, so Sam played 8 games. Together they played 8 + 4 = 12 games. Yes!

A slightly harder example:

Example: Alex and Sam also build tables. Together they make 10 tables in 12 days. Alex working alone can make 10 in 30 days. How long would it take Sam working alone to make 10 tables?

• Use a for Alex's work rate
• Use s for Sam's work rate

12 days of Alex and Sam is 10 tables, so: 12a + 12s = 10

30 days of Alex alone is also 10 tables: 30a = 10

We are being asked how long it would take Sam to make 10 tables.

30a = 10 , so Alex's rate (tables per day) is: a = 10/30 = 1/3

Which means that Sam's rate is half a table a day (faster than Alex!)

So 10 tables would take Sam just 20 days.

Should Sam be paid more I wonder?

And another "substitution" example:

Example: Jenna is training hard to qualify for the National Games. She has a regular weekly routine, training for five hours a day on some days and 3 hours a day on the other days. She trains altogether 27 hours in a seven day week. On how many days does she train for five hours?

• The number of "5 hour" days: d
• The number of "3 hour" days: e

We know there are seven days in the week, so: d + e = 7

And she trains 27 hours in a week, with d 5 hour days and e 3 hour days: 5d + 3e = 27

We are being asked for how many days she trains for 5 hours: d

The number of "5 hour" days is 3

Check : She trains for 5 hours on 3 days a week, so she must train for 3 hours a day on the other 4 days of the week.

3 × 5 hours = 15 hours, plus 4 × 3 hours = 12 hours gives a total of 27 hours

Some examples from Geometry:

Example: A circle has an area of 12 mm 2 , what is its radius?

• Use A for Area: A = 12 mm 2
• Use r for radius

And the formula for Area is: A = π r 2

We are being asked for the radius.

We need to rearrange the formula to find the area

Example: A cube has a volume of 125 mm 3 , what is its surface area?

Make a quick sketch:

• Use V for Volume
• Use A for Area
• Use s for side length of cube
• Volume of a cube: V = s 3
• Surface area of a cube: A = 6s 2

We are being asked for the surface area.

First work out s using the volume formula:

Now we can calculate surface area:

An example about Money:

Example: Joel works at the local pizza parlor. When he works overtime he earns 1¼ times the normal rate. One week Joel worked for 40 hours at the normal rate of pay and also worked 12 hours overtime. If Joel earned $660 altogether in that week, what is his normal rate of pay?

• Joel's normal rate of pay: $N per hour
• Joel works for 40 hours at $N per hour = $40N
• When Joel does overtime he earns 1¼ times the normal rate = $1.25N per hour
• Joel works for 12 hours at $1.25N per hour = $(12 × 1¼N) = $15N
• And together he earned $660, so:

$40N + $(12 × 1¼N) = $660

We are being asked for Joel's normal rate of pay $N.

So Joel’s normal rate of pay is $12 per hour

Joel’s normal rate of pay is $12 per hour, so his overtime rate is 1¼ × $12 per hour = $15 per hour. So his normal pay of 40 × $12 = $480, plus his overtime pay of 12 × $15 = $180 gives us a total of $660

More about Money, with these two examples involving Compound Interest

Example: Alex puts $2000 in the bank at an annual compound interest of 11%. How much will it be worth in 3 years?

This is the compound interest formula:

So we will use these letters:

• Present Value PV = $2,000
• Interest Rate (as a decimal): r = 0.11
• Number of Periods: n = 3
• Future Value (the value we want): FV

We are being asked for the Future Value: FV

Example: Roger deposited $1,000 into a savings account. The money earned interest compounded annually at the same rate. After nine years Roger's deposit has grown to $1,551.33 What was the annual rate of interest for the savings account?

The compound interest formula:

• Present Value PV = $1,000
• Interest Rate (the value we want): r
• Number of Periods: n = 9
• Future Value: FV = $1,551.33

We are being asked for the Interest Rate: r

So the annual rate of interest is 5%

Check : $1,000 × (1.05) 9 = $1,000 × 1.55133 = $1,551.33

And an example of a Ratio question:

Example: At the start of the year the ratio of boys to girls in a class is 2 : 1 But now, half a year later, four boys have left the class and there are two new girls. The ratio of boys to girls is now 4 : 3 How many students are there altogether now?

• Number of boys now: b
• Number of girls now: g

The current ratio is 4 : 3

Which can be rearranged to 3b = 4g

At the start of the year there was (b + 4) boys and (g − 2) girls, and the ratio was 2 : 1

b + 4 g − 2 = 2 1

Which can be rearranged to b + 4 = 2(g − 2)

We are being asked for how many students there are altogether now: b + g

There are 12 girls !

And 3b = 4g , so b = 4g/3 = 4 × 12 / 3 = 16 , so there are 16 boys

So there are now 12 girls and 16 boys in the class, making 28 students altogether .

There are now 16 boys and 12 girls, so the ratio of boys to girls is 16 : 12 = 4 : 3 At the start of the year there were 20 boys and 10 girls, so the ratio was 20 : 10 = 2 : 1

And now for some Quadratic Equations :

Example: The product of two consecutive even integers is 168. What are the integers?

Consecutive means one after the other. And they are even , so they could be 2 and 4, or 4 and 6, etc.

We will call the smaller integer n , and so the larger integer must be n+2

And we are told the product (what we get after multiplying) is 168, so we know:

n(n + 2) = 168

We are being asked for the integers

That is a Quadratic Equation , and there are many ways to solve it. Using the Quadratic Equation Solver we get −14 and 12.

Check −14: −14(−14 + 2) = (−14)×(−12) = 168 YES

Check 12: 12(12 + 2) = 12×14 = 168 YES

So there are two solutions: −14 and −12 is one, 12 and 14 is the other.

Note: we could have also tried "guess and check":

• We could try, say, n=10: 10(12) = 120 NO (too small)
• Next we could try n=12: 12(14) = 168 YES

But unless we remember that multiplying two negatives make a positive we might overlook the other solution of (−14)×(−12).

Example: You are an Architect. Your client wants a room twice as long as it is wide. They also want a 3m wide veranda along the long side. Your client has 56 square meters of beautiful marble tiles to cover the whole area. What should the length of the room be?

Let's first make a sketch so we get things right!:

• the length of the room: L
• the width of the room: W
• the total Area including veranda: A
• the width of the room is half its length: W = ½L
• the total area is the (room width + 3) times the length: A = (W+3) × L = 56

We are being asked for the length of the room: L

This is a quadratic equation , there are many ways to solve it, this time let's use factoring :

And so L = 8 or −14

There are two solutions to the quadratic equation, but only one of them is possible since the length of the room cannot be negative!

So the length of the room is 8 m

L = 8, so W = ½L = 4

So the area of the rectangle = (W+3) × L = 7 × 8 = 56

There we are ...

... I hope these examples will help you get the idea of how to handle word questions. Now how about some practice?

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Yes you certainly can! You can change your subscription by accessing the Manage Account page within the application or using the link provided in your sign up email. If you can't find it or no longer have it, just send us an email at [email protected] or ask your tutor for assistance they will be happy to assist.

How much does it cost?

You can view the price of our subscription packages here . We're also providing freebies and exclusive deals from our large network of high quality partners. We obsess over the details to ensure you get 10x more value than the price tag!

Can it Solve Calculus Math Problems?

Can it solve geometry math problems.

P.S. We're currently working to enable in app graphing to accompany solutions.

Can it solve Trigonometric Functions?

Can it solve simple equations math problems.

Yep! The AI LLM has been trained on a large array of mathematical problems and subjects including, but not limited to Basic Algebra, Advanced Algebra, Geometry, Trigonometry, Calculus, Advanced Calculus, Physics and much more.

Can it solve any math problems and equations?

How do i get math solutions.

Simply upload an image of your math problem or enter it and click Solve. Our AI math problem solving calculator will provide a step by step solution to the problem with the answer.

Can it solve word problems?

Yes! Our AI math word problem solver will provide a step by step solution and answer to any word problem.

How do you find the answers to math word problems?

Step by step solutions and answers to any word problem or equations can be found in the chat window indicated in blue text bubbles.

Math Solver

Geogebra math solver.

Get accurate solutions and step-by-step explanations for algebra and other math problems, while enhancing your problem-solving skills!

Word Problems Activities

Teach your child all about word problems with amazing educational resources for children. These online word problems learning resources break down the topic into smaller parts for better conceptual understanding and grasp. Get started now to make word problems practice a smooth, easy and fun process for your child!

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How do you solve word problems in math?

Master word problems with eight simple steps from a math tutor!

Author Amber Watkins

Published April 2024

• Key takeaways
• Students who struggle with reading, tend to struggle with understanding and solving word problems. So the best way to solve word problems in math is to become a better reader!
• Mastery of word problems relies on your child’s knowledge of keywords for word problems in math and knowing what to do with them.
• There are 8 simple steps each child can use to solve word problems- let’s go over these together.

Table of contents

• How to solve word problems

Lesson credits

As a tutor who has seen countless math worksheets in almost every grade – I’ll tell you this: every child is going to encounter word problems in math. The key to mastery lies in how you solve them! So then, how do you solve word problems in math?

In this guide, I’ll share eight steps to solving word problems in math.

How to solve word problems in math in 8 steps

Step 1: read the word problem aloud.

For a child to understand a word problem, it needs to be read with accuracy and fluency! That is why, when I tutor children with word problems, I always emphasize the importance of reading properly.

Mastering step 1 looks like this:

• Allow your child to read the word problem aloud to you. 
• Don’t let your child skip over or mispronounce any words. 
• If necessary, model how to read the word problem, then allow your child to read it again. Only after the word problem is read accurately, should you move on to step 2.

Step 2: Highlight the keywords in the word problem

The keywords for word problems in math indicate what math action should be taken. Teach your child to highlight or underline the keywords in every word problem. 

Here are some of the most common keywords in math word problems: 

• Subtraction words – less than, minus, take away
• Addition words – more than, altogether, plus, perimeter
• Multiplication words – Each, per person, per item, times, area 
• Division words – divided by, into
• Total words – in all, total, altogether

Let’s practice. Read the following word problem with your child and help them highlight or underline the main keyword, then decide which math action should be taken.

Michael has ten baseball cards. James has four baseball cards less than Michael. How many total baseball cards does James have? 

The words “less than” are the keywords and they tell us to use subtraction .

Step 3: Make math symbols above keywords to decode the word problem

As I help students with word problems, I write math symbols and numbers above the keywords. This helps them to understand what the word problem is asking.

Let’s practice. Observe what I write over the keywords in the following word problem and think about how you would create a math sentence using them:

Step 4: Create a math sentence to represent the word problem

Using the previous example, let’s write a math sentence. Looking at the math symbols and numbers written above the word problem, our math sentence should be: 10 – 5 = 5 ! 

Each time you practice a word problem with your child, highlight keywords and write the math symbols above them. Then have your child create a math sentence to solve. 

Step 5: Draw a picture to help illustrate the word problem

Pictures can be very helpful for problems that are more difficult to understand. They also are extremely helpful when the word problem involves calculating time , comparing fractions , or measurements . 

Step 6: Always show your work

Help your child get into the habit of always showing their work. As a tutor, I’ve found many reasons why having students show their work is helpful:

• By showing their work, they are writing the math steps repeatedly, which aids in memory
• If they make any mistakes they can track where they happened
• Their teacher can assess how much they understand by reviewing their work
• They can participate in class discussions about their work

Step 7: When solving word problems, make sure there is always a word in your answer!

If the word problem asks: How many peaches did Lisa buy? Your child’s answer should be: Lisa bought 10 peaches .

If the word problem asks: How far did Kyle run? Your child’s answer should be: Kyle ran 20 miles .

So how do you solve a word problem in math?

Together we reviewed the eight simple steps to solve word problems. These steps included identifying keywords for word problems in math, drawing pictures, and learning to explain our answers. 

Is your child ready to put these new skills to the test? Check out the best math app for some fun math word problem practice.

Parents, sign up for a DoodleMath subscription and see your child become a math wizard!

Amber Watkins

Amber is an education specialist with a degree in Early Childhood Education. She has over 12 years of experience teaching and tutoring elementary through college level math. "Knowing that my work in math education makes such an impact leaves me with an indescribable feeling of pride and joy!"

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Math Word Problems

Welcome to the math word problems worksheets page at Math-Drills.com! On this page, you will find Math word and story problems worksheets with single- and multi-step solutions on a variety of math topics including addition, multiplication, subtraction, division and other math topics. It is usually a good idea to ensure students already have a strategy or two in place to complete the math operations involved in a particular question. For example, students may need a way to figure out what 7 × 8 is or have previously memorized the answer before you give them a word problem that involves finding the answer to 7 × 8.

There are a number of strategies used in solving math word problems; if you don't have a favorite, try the Math-Drills.com problem-solving strategy:

• Question : Understand what the question is asking. What operation or operations do you need to use to solve this question? Ask for help to understand the question if you can't do it on your own.
• Estimate : Use an estimation strategy, so you can check your answer for reasonableness in the evaluate step. Try underestimating and overestimating, so you know what range the answer is supposed to be in. Be flexible in rounding numbers if it will make your estimate easier.
• Strategize : Choose a strategy to solve the problem. Will you use mental math, manipulatives, or pencil and paper? Use a strategy that works for you. Save the calculator until the evaluate stage.
• Calculate : Use your strategy to solve the problem.
• Evaluate : Compare your answer to your estimate. If you under and overestimated, is the answer in the correct range. If you rounded up or down, does the answer make sense (e.g. is it a little less or a little more than the estimate). Also check with a calculator.

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The Secret Push That Could Ban TikTok

U.s. lawmakers have long worried that the chinese government could use the app to spread propaganda..

This transcript was created using speech recognition software. While it has been reviewed by human transcribers, it may contain errors. Please review the episode audio before quoting from this transcript and email [email protected] with any questions.

From “The New York Times,” I’m Sabrina Tavernise. And this is “The Daily.”

[THEME MUSIC]

American lawmakers have tried for years to ban the video app TikTok over concerns that its ties to China pose a national security risk. Last week, they passed a law that might finally do it. Today, my colleague, Sapna Maheshwari, on the secret effort behind the law and what a ban would mean for the company’s 170 million American users.

It’s Tuesday, April 30.

So Sapna, tell me about this law that just passed that potentially bans the social media app TikTok. We’ve seen efforts in the past to rein in TikTok, but this one really seems like the most substantial yet.

It’s a huge deal. What this law really does is it puts the future of this hugely popular app with 170 million American users into question. TikTok has reshaped the way many people listen to music. It’s changed the way we cook. It’s made a whole different kind of celebrity.

But it’s never been able to shake these concerns around the fact that it has really close ties to China. It’s owned by a Chinese company, ByteDance. And lawmakers, for years, have been worried that the Chinese government could somehow use ByteDance and TikTok to get information on Americans or possibly spread propaganda.

President Trump tried to ban it in 2020. The State of Montana tried to ban this app last year. TikTok has largely survived those challenges, but this time it could actually be banned in the United States.

So let’s talk about this. Why did this effort succeed where the other ones failed?

So it’s an interesting story.

Here we go.

The committee will come to order.

And it really dates back to this hearing about a year ago that Congress had with Shou Chew, the CEO of TikTok.

Mr. Chew, you are here because the American people need the truth about the threat TikTok poses to our national and personal security.

Members of the committee, thank you for your time.

— TikTok has repeatedly said that it has addressed these national security concerns and that there’s no issue here. And you can hear that when Shou Chew testified.

Let me start by addressing a few misconceptions about ByteDance of which we are a subsidiary. ByteDance is not owned or controlled by the Chinese government.

He’s saying American investors are behind ByteDance.

Now, TikTok itself is not available in mainland China. We’re headquartered in Los Angeles and in Singapore.

And I myself am Singaporean. I live in Singapore.

The bottom line is this — American data, stored on American soil, by an American company, overseen by American personnel.

And we are actually going above and beyond what American technology companies do to keep things safe.

And I look forward to your questions. Thank you very much.

And is Congress convinced by that?

Congress is not convinced by that.

ByteDance is a Chinese company?

Well, ByteDance owns many businesses that operates in China.

Is it or is it not a Chinese company?

Congressman, the way we look at it, it was founded by Chinese entrepreneurs.

No, no, no, no. I’m not asking how you look at it. Fact, is it a Chinese company or not? For example, Dell is a company —

It was this really fiery, five-hour hearing, where Republicans and Democrats asked really contentious questions.

We do not promote or remove content at the request of the Chinese government. Will you repeat —

The question is, are you percent certain that they cannot use your company to promote such messages?

It is our commitment to this committee and all our users that we will keep this free from any manipulation by any government.

OK. If you can’t say it 100 percent certain I take that as a no.

There’s this underlying sense of distrust around the company and its ties to China.

I will remind you that making false or misleading statements to Congress is a federal crime.

I understand. Again, you can go on our platform. You will find that content.

And it becomes clear through the hearing that, across the board, Republicans and Democrats largely feel the same way.

Mr. Chew, I got to hand it to you. You’ve actually done something that in the last three to four years has not happened except for the exception of maybe Vladimir Putin. You have unified Republicans and Democrats.

So within weeks of this hearing, this small group of lawmakers gets together. And they say, let’s come up with a law that works where all the other ones have failed and actually make TikTok answer to its Chinese connections once and for all.

So tell me about this small group of lawmakers. Who are they?

So it starts with Republicans. Among them is Steve Scalise, one of the most powerful Republicans in the House. And a small group sort of works together for a few months, but they realize that in order to really make this law work, they’re going to need Democrats. So they end up working through this House Committee that’s focused on China and competition. And this is where the bulk of the work on this bill takes place.

And just to note, this is a really small group. There’s less than 20 key players who are working on this. And all throughout, they are keeping this very, very secret.

And why exactly are they keeping it secret? What’s the point of that?

So this group really wanted to keep this out of the eyes of TikTok, which has a huge lobbying presence in DC, and has successfully worked to kill bills that targeted TikTok in the past. And what they’re really doing is looking at all of the past efforts to either force a sale or a ban of TikTok, and trying to work their way through why those plans didn’t succeed and what they can do differently.

But while the lawmakers are working on this bill, something big happens that kind of changes the politics around it. And that’s October 7.

Your social media feeds are unique to you, but could they be shaping how you view the Israel-Gaza War? The BBC’s —

As the war breaks out and people start getting information about it, a lot of people are getting information about the Israel-Hamas War on TikTok, especially young people.

Social media algorithms seem to be driving some users towards increasingly divisive posts —

And there’s this big messy argument spilling out into living rooms and all over the internet, and, of course on TikTok. And it’s getting very heated. For instance, there’s this moment in the fall where a bunch of TikTok users start sharing this old manifesto.

I read Osama bin Laden’s “Letter to America.”

It’s wild, and everyone should read it.

Go read “A Letter to America.” Seriously, go read it.

That was actually written by Osama bin Laden, defending the 9/11 attacks and criticizing the United States’ support of Israel. TikTok users start trying to tie it to the modern day conflict.

Reading this letter, it becomes apparent to me that the actions of 9/11 were all just the buildup of our government failing other nations.

The way this letter is going viral right now is giving me the greatest sense of relief. Now it’s all coming to light because of Palestine.

And there’s these accusations that TikTok may be promoting one side of the conflict over the other. And a couple of researchers look at hashtags around Palestine, and they say that the data they pulled shows that TikTok is showing way more pro-Palestine videos and not so much for Israel. And this sets off huge alarm bells for this small group of lawmakers.

But isn’t that just a function of the fact that TikTok, at this point, is the public square in the United States for young people? I mean, this is what young people were talking about, and this is where they’re doing the talking.

TikTok has pushed back really forcefully against these accusations. They said that Gallup polls show that young people view Israel differently than older generations. They say that they’re not the ones influencing what people post, that the hashtags and the videos are a reflection of the user base and nothing that they’re doing to influence.

But for lawmakers, this doesn’t really make their concerns go away. Instead, this conflict shows them how TikTok could be used to spread propaganda. It made lawmakers feel that TikTok could be really dangerous when it comes to shaping the views of Americans on foreign policy, on US elections. And what it also does is, it provides this driving force to this group that’s drafting this bill. And they suddenly see that this might be a way to bring more people into their effort.

And so heading into November against this backdrop, they even bring in the White House and the Justice Department to help work on this bill. And with the White House, they want to make sure that this is a bill that the president will support. And they work with the Justice Department to shore up the language in the bill to help defend against court challenges.

Because the Justice Department, of course, would be the one that would have to defend the bill, right?

That’s exactly right. And so they’re trying to make it as rock solid as possible so that they can win in court when TikTok challenges this law. And so March rolls around, and they decide that it’s time to unveil this bill that they’ve been working on for close to a year.

The battle over TikTok on Capitol Hill is intensifying.

This morning, House lawmakers have agreed unanimously to move a bill to a full floor vote.

And TikTok is caught completely flat footed. They didn’t see this coming. And this is just what the group wanted. So TikTok has this army of lobbyists that’s suddenly scrambling. And they go into damage control mode. They start reaching out to members of Congress.

This app is so much more than just an app for dumb TikTok dances.

They fly a group of TikTok stars and small businesses to come to DC —

This is a life-changing apps.

— and lobby on the steps of the Capitol and meet with lawmakers.

Standing up here with all these amazing TikTokers behind me is a complete honor, and every single one of them would voice their opinion just like this. This is how we feel. This has to stop.

They set up interviews between these TikTok creators, as they’re known, and big TV shows and news programs. And they’re doing everything they can to fight against this bill before it goes any further. And then they decide to do something unusual, which is use TikTok itself to try and derail this bill.

How exactly do they do that?

So days after this bill is announced, a ton of TikTok users get a message when they open the TikTok app that basically says, call Congress and tell them not to ban TikTok.

Hmm. OK. So like, literally this window comes up and says, call Congress. Here you go.

Exactly. You can enter your zip code, and there’s a button that appears. And you can press it, and the call goes straight to your representative.

So offices are quickly overwhelmed by calls. And TikTok sent out this message to users on the same day that a House committee is going into vote on this bill and whether to move it forward. And so the stunt happens. They go into vote, and they come out, and it’s 50 to 0 in support of the bill.

One of the representatives who worked on the bill said that this stunt by TikTok turned a lot of no’s into yeses and yeses into, quote, “hell yeses.”

[LAUGHS]: so the whole episode sounds like it actually backfired, right? Like, TikTok’s stunt essentially just confirmed what was the deepest fears of lawmakers about this company, that the app could be used to influence American politics.

That’s definitely how a lot of lawmakers viewed it. And when this bill is brought to the full House a week later, it passes by an overwhelming majority. And weeks later, it passes in the Senate as part of a broader aid package. And on Wednesday, it’s signed into law by President Biden.

But now the question is, what does it mean? Like, how will this actually work? And how will it affect the tens of millions of Americans who use TikTok every day?

[MUSIC PLAYING]

We’ll be right back.

So Sapna, now that Biden has signed this bill, what does it actually mean in practice for TikTok? What does the law do?

So the law is really trying to push ByteDance, the company that owns TikTok, to sell to a non-Chinese owner. And the company basically has nine months for this sale to happen. There’s an option for President Biden to add another three months to that clock. And if the company doesn’t find a buyer or refuses to be sold, it will be banned.

And what would a ban actually mean, Sapna? I mean, people would still have the app on their phones, right? So it wouldn’t disappear overnight.

Yeah, no one’s coming to pick up your phone and to forcibly delete this thing. What the law says is that app stores and web hosting services wouldn’t be allowed to carry TikTok anymore. So basically, it would kind of die a slow death over time, where it wouldn’t be updated and just kind of peter out.

So the bottom line here is that the clock has started on this potential sale, right? They have 12 months to find a buyer. So what are the obstacles here? I mean, it sounds pretty ferociously complicated.

There’s a ton of challenges here. And it’s a very messy choose-your-own adventure. So one of the first big questions is who could buy this?

ByteDance and TikTok are private. We don’t know their financials. But analysts estimate that it will cost tens of billions of dollars. That narrows the buying pool pretty quickly. And a lot of the companies that could afford to buy it, like Meta, the owner of Facebook, or Google, which owns YouTube, would probably be kicked out of the running because they are simply too big. Regulators would say, you already own these big apps. You can’t possibly add this to your stable.

There’d be a monopoly concern there.

Exactly. And then, there’s a lot of questions around how this would work, technically. ByteDance and TikTok are very much global organizations. You have the CEO in Singapore. They have huge operations in Ireland. They have this big workforce in the US. And of course, they do have engineers in China.

So how do you extract all those things, make it all work? It’s a very big international transaction.

And then there is the chance that the Chinese government blocks this sale and says, you cannot do this, ByteDance. We will not allow it.

So Sapna, how does that actually work, though, in terms of China? I mean, can China actually just ban the sale of this company? I mean, it is a private company after all, right?

Well, here’s one way it could work. The Chinese government could block the export of TikTok’s algorithm. And let me explain that in kind of plain English.

They could basically block the technology that fuels the TikTokiness of this app, the recommendations, the magic of it, why you see what you see when you’re looking at TikTok.

TikTokiness, is that an adjective?

That is now an adjective.

[LAUGHS]: Nice.

And there’s a chance that Beijing could say, hey, you can’t export this technology. That is proprietary. And if that happens, that suddenly makes TikTok way, way less valuable.

So the Chinese government could let the sale go through potentially, but as a kind of an empty shell, right? The thing that makes TikTok TikTok, the algorithm, wouldn’t be part of the company. So that probably isn’t very appealing for a potential buyer.

Exactly. And I mean, the role of the Chinese government here is really interesting. I’ve talked to experts who say, well, if the Chinese government interferes to try and block a sale of this app, doesn’t that underscore and prove all the concerns that have been expressed by American lawmakers?

If you’re worried about China being in control of this thing, well, that just confirmed your fears.

Exactly. And I mean, it’s an interesting thing that ByteDance and TikTok have to grapple with.

So bottom line here — selling TikTok is quite complicated, and perhaps not even possible for these reasons that you’re giving, right? I mean, not least of which because the Chinese government might not allow the algorithm to leave the country. And that’s not something that the US Congress has a lot of control over.

So is this law fundamentally just a ban, then?

That’s what TikTok is calling it. Right after this bill was signed into law on Wednesday —

Make no mistake, this is a ban, a ban on TikTok and a ban on you and your voice.

— Tiktok’s CEO made a TikTok — what else?— that explained the company’s position.

Because the freedom of expression on TikTok reflects the same American values that make the United States a beacon of freedom.

He actually argued that TikTok reflects American values.

TikTok gives everyday Americans a powerful way to be seen and heard. And that’s why so many people have made TikTok part of their daily lives.

And he said that this law infringes on the First Amendment free speech rights of Americans who love it and who use it every day.

The facts and the Constitution are on our side, and we expect to prevail again.

So it’s very clear that TikTok plans to challenge this law in court. And the court fight to follow will determine the fate of TikTok’s future in the US.

So is that First Amendment argument that the TikTok CEO is making here going to work?

Nobody wants to put money on that. I mean, the company is really approaching this with the idea that the First Amendment rights of Americans are being infringed on. But if you remember, the government has been working on this law. They’ve been anticipating those challenges. And they can justify an infringing of First Amendment rights in certain cases, including with national security concerns. And so it’ll be up to a judge on whether those concerns pass muster and justify this sale and even a potential ban of TikTok.

Got it. So TikTok will argue free speech, First Amendment. And the government will counter by saying, look, this is about China. This is about America’s national security interests.

That’s right. And the legal experts that I’ve spoken with say this is a really big and sticky area of the law, and it’s a huge case. And they really think that this will go to the Supreme Court, regardless of who wins in the first round of this.

So where does that leave the millions of Americans who use TikTok, and many of them, of course, who earn a living on the platform?

I mean, it’s really uncertain what happens now with the company, and the clock has started ticking. When I’ve looked at TikTok and looked at videos from users —

This is about the impending TikTok ban. And it just triggered me so much. It makes my blood boil, and I have to get this out there.

There’s a lot of shock —

The most success I’ve had has been here on TikTok, and now they’re trying to take it away.

This is so stupid!

— and anger.

You can’t ban apps! You can’t ban things from people!

People are confused.

Word on the street is that in the next 9 to 12 months, TikTok could be banned.

And they’re also caught a bit off guard, just because there have been these years of efforts to do something about TikTok. People on the app have been hearing about a TikTok ban, really, since 2020.

The government can take away a literal app on our phones, and we’re supposed to believe we’re free?

A few TikTokers have said, how can this be the thing that the government is pushing through so quickly?

Can we stop funding a genocide? No. Can we get free COVID tests? No. Can we stop killing the planet? No. Can we at least watch videos on an app of people doing fun things and learn about the world around us? No.

So there’s this sense of distrust and disappointment for many people who love this app.

We got rid of TikTok. You’re welcome. Protecting you from China. You know that phone was made in China. Ah!

And I think there’s also this question, too, around what about TikTok makes it so harmful? Even though it has increasingly become a place for news, there’s plenty of people who simply use this app for entertainment. And what they’re seeing out of Washington just doesn’t square with the reality they experience when they pull out their phones.

And I wonder, Sapna, I mean, just kind of stepping back for a second, let’s say this ban on TikTok succeeds. If it goes through, would Americans be better off?

It depends who you ask. For the users who love TikTok, if it actually disappeared, it would be the government taking away a place where maybe they make money, where they get their entertainment, where they figure out what to read or what to cook next. To free speech advocates, this would be dystopian, unheard of for the government to crack down on an app with such wide usage by Americans.

But for the American political class And the National security establishment, this is a necessary move, one that was years in the making, not something that was just come up with on the fly. And ultimately, it all comes down to China and this idea that you can’t have a social media app like this, a source of news like this, that is even at all at risk of being influenced by the Chinese government and our greatest adversaries.

Sapna, thank you.

Here’s what else you should know today. On Monday, in its latest high-profile showdown with pro-Palestinian protesters, Columbia University gave students until 2:00 PM to clear out from an encampment at the center of campus or face suspension. It appeared to be an effort to remove the encampment without relying on New York City Police, whose removal of a previous encampment there two weeks ago inspired similar protests on campuses across the country.

Free Palestine!

Hi, this is Sharon Otterman reporting for “The New York Times.”

00 PM deadline for protesters to clear out of the encampment at the center of Columbia University has come and gone, and there’s still quite a large contingent inside the encampment.

But Monday’s warning seemed only to galvanize the Columbia protesters and their supporters.

And hundreds of students and others from around the campus have come out to support them. They are currently walking around in a picket around the encampment.

Hundreds of students, standing for or five people deep, encircled the encampment in a show of solidarity. They were joined by members of the Columbia faculty.

There’s also dozens of faculty members, who are prepared to stand in lines in front of the main entrance to the encampment, in case Public Safety or the NYPD move in. But as of 2:00, there was no sign of that happening.

Then, on Monday evening, Columbia announced it had begun to suspend students who had failed to leave the encampment. It was unclear exactly how many students had been suspended.

[PRO-PALESTINE CHANTING]:

Today’s episode was produced by Will Reid, Rachelle Banja, and Rob Szypko. It was edited by Marc Georges and Liz O. Baylen, contains original music by Dan Powell and Marion Lozano, and was engineered by Chris Wood. Our theme music is by Jim Brunberg and Ben Landsverk of Wonderly. Special thanks to Sharon Otterman.

That’s it for “The Daily.” I’m Sabrina Tavernise. See you tomorrow.

• May 1, 2024   •   35:16 The New Abortion Fight Before the Supreme Court
• April 30, 2024   •   27:40 The Secret Push That Could Ban TikTok
• April 29, 2024   •   47:53 Trump 2.0: What a Second Trump Presidency Would Bring
• April 26, 2024   •   21:50 Harvey Weinstein Conviction Thrown Out
• April 25, 2024   •   40:33 The Crackdown on Student Protesters
• April 24, 2024   •   32:18 Is $60 Billion Enough to Save Ukraine?
• April 23, 2024   •   30:30 A Salacious Conspiracy or Just 34 Pieces of Paper?
• April 22, 2024   •   24:30 The Evolving Danger of the New Bird Flu
• April 19, 2024   •   30:42 The Supreme Court Takes Up Homelessness
• April 18, 2024   •   30:07 The Opening Days of Trump’s First Criminal Trial
• April 17, 2024   •   24:52 Are ‘Forever Chemicals’ a Forever Problem?
• April 16, 2024   •   29:29 A.I.’s Original Sin

Hosted by Sabrina Tavernise

Featuring Sapna Maheshwari

Produced by Will Reid ,  Rachelle Bonja and Rob Szypko

Edited by Marc Georges and Liz O. Baylen

Original music by Marion Lozano and Dan Powell

Engineered by Chris Wood

Listen and follow The Daily Apple Podcasts | Spotify | Amazon Music

American lawmakers have tried for years to ban TikTok, concerned that the video app’s links to China pose a national security risk.

Sapna Maheshwari, a technology reporter for The Times, explains the behind-the-scenes push to rein in TikTok and discusses what a ban could mean for the app’s 170 million users in the United States.

On today’s episode

Sapna Maheshwari , who covers TikTok, technology and emerging media companies for The New York Times.

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