- Solve equations and inequalities
- Simplify expressions
- Factor polynomials
- Graph equations and inequalities
- Advanced solvers
- All solvers
- Arithmetics
- Determinant
- Percentages
- Scientific Notation
- Inequalities

## What can QuickMath do?

QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.

- The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and cancelling common factors within a fraction.
- The equations section lets you solve an equation or system of equations. You can usually find the exact answer or, if necessary, a numerical answer to almost any accuracy you require.
- The inequalities section lets you solve an inequality or a system of inequalities for a single variable. You can also plot inequalities in two variables.
- The calculus section will carry out differentiation as well as definite and indefinite integration.
- The matrices section contains commands for the arithmetic manipulation of matrices.
- The graphs section contains commands for plotting equations and inequalities.
- The numbers section has a percentages command for explaining the most common types of percentage problems and a section for dealing with scientific notation.

## Math Topics

More solvers.

- Add Fractions
- Simplify Fractions

## Get step-by-step solutions to your math problems

## Try Math Solver

## Get step-by-step explanations

## Graph your math problems

## Practice, practice, practice

## Get math help in your language

- PRO Courses Guides New Tech Help Pro Expert Videos About wikiHow Pro Upgrade Sign In
- EDIT Edit this Article
- EXPLORE Tech Help Pro About Us Random Article Quizzes Request a New Article Community Dashboard This Or That Game Popular Categories Arts and Entertainment Artwork Books Movies Computers and Electronics Computers Phone Skills Technology Hacks Health Men's Health Mental Health Women's Health Relationships Dating Love Relationship Issues Hobbies and Crafts Crafts Drawing Games Education & Communication Communication Skills Personal Development Studying Personal Care and Style Fashion Hair Care Personal Hygiene Youth Personal Care School Stuff Dating All Categories Arts and Entertainment Finance and Business Home and Garden Relationship Quizzes Cars & Other Vehicles Food and Entertaining Personal Care and Style Sports and Fitness Computers and Electronics Health Pets and Animals Travel Education & Communication Hobbies and Crafts Philosophy and Religion Work World Family Life Holidays and Traditions Relationships Youth
- Browse Articles
- Learn Something New
- Quizzes Hot
- This Or That Game New
- Train Your Brain
- Explore More
- Support wikiHow
- About wikiHow
- Log in / Sign up
- Education and Communications
- Mathematics

## How to Solve Math Problems

Last Updated: May 16, 2023 Fact Checked

This article was co-authored by Daron Cam . Daron Cam is an Academic Tutor and the Founder of Bay Area Tutors, Inc., a San Francisco Bay Area-based tutoring service that provides tutoring in mathematics, science, and overall academic confidence building. Daron has over eight years of teaching math in classrooms and over nine years of one-on-one tutoring experience. He teaches all levels of math including calculus, pre-algebra, algebra I, geometry, and SAT/ACT math prep. Daron holds a BA from the University of California, Berkeley and a math teaching credential from St. Mary's College. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed 572,778 times.

Although math problems may be solved in different ways, there is a general method of visualizing, approaching and solving math problems that may help you to solve even the most difficult problem. Using these strategies can also help you to improve your math skills overall. Keep reading to learn about some of these math problem solving strategies.

## Understanding the Problem

- Draw a Venn diagram. A Venn diagram shows the relationships among the numbers in your problem. Venn diagrams can be especially helpful with word problems.
- Draw a graph or chart.
- Arrange the components of the problem on a line.
- Draw simple shapes to represent more complex features of the problem.

## Developing a Plan

## Solving the Problem

## Expert Q&A

- Seek help from your teacher or a math tutor if you get stuck or if you have tried multiple strategies without success. Your teacher or a math tutor may be able to easily identify what is wrong and help you to understand how to correct it. Thanks Helpful 1 Not Helpful 1
- Keep practicing sums and diagrams. Go through the concept your class notes regularly. Write down your understanding of the methods and utilize it. Thanks Helpful 1 Not Helpful 0

## You Might Also Like

- ↑ Daron Cam. Math Tutor. Expert Interview. 29 May 2020.
- ↑ http://www.interventioncentral.org/academic-interventions/math/math-problem-solving-combining-cognitive-metacognitive-strategies
- ↑ http://tutorial.math.lamar.edu/Extras/StudyMath/ProblemSolving.aspx
- ↑ https://math.berkeley.edu/~gmelvin/polya.pdf

## About This Article

To solve a math problem, try rewriting the problem in your own words so it's easier to solve. You can also make a drawing of the problem to help you figure out what it's asking you to do. If you're still completely stuck, try solving a different problem that's similar but easier and then use the same steps to solve the harder problem. Even if you can't figure out how to solve it, try to make an educated guess instead of leaving the question blank. To learn how to come up with a solid plan to use to help you solve a math problem, scroll down! Did this summary help you? Yes No

- Send fan mail to authors

## Reader Success Stories

Thakgalo Mokalapa

Feb 16, 2018

## Did this article help you?

Offor Chukwuemeka

May 17, 2018

Jan 21, 2017

May 3, 2018

## Featured Articles

## Trending Articles

## Watch Articles

- Terms of Use
- Privacy Policy
- Do Not Sell or Share My Info
- Not Selling Info

Don’t miss out! Sign up for

wikiHow’s newsletter

- India Today
- Business Today
- Reader’s Digest
- Harper's Bazaar
- Brides Today
- Cosmopolitan
- Aaj Tak Campus
- India Today Hindi

## TRENDING TOPICS

4 steps to solve even the toughest math problem and improve your math skills, mathematics is a field where one can take multiple approaches to get to the solution of a problem. this simplified step-by-step approach will help you unravel the solution to even the toughest math problem..

Listen to Story

There are multiple ways to solve math problems; however, a simplified method that can help everyone to solve even the toughest problem is a three-step process.

The process is:

1. Visualize the problem 2. Approach to be followed for that problem 3. Lastly, solve the problem

This three-step process could probably help you to improve your overall math skills.

## 1. Read carefully, understand, and identify the type of problem

## Step-by-Step Solutions

Use step-by-step calculators for chemistry, calculus, algebra, trigonometry, equation solving, basic math and more.

Gain more understanding of your homework with steps and hints guiding you from problems to answers! Wolfram|Alpha Pro step-by-step solutions not only give you the answers you're looking for, but also help you learn how to solve problems.

Starting at undefined /month

## Step-by-Step Solutions Features

Not just answers—step-by-step solutions buttons expand answers and explain how that answer was found.

## Show Intermediate Steps

Break steps down even further with intermediate steps. These optional additional explanations for individual pieces of step-by-step solutions help guide you.

## Choose a Method

Explore different ways of finding a solution. Use your classroom's teaching method to guide you through the answer.

Your own tutor—hints are also frequently provided to not just provide answers, but also to guide you towards finding the solution yourself.

## Examples of Step-by-Step Solutions

Explore some of the content areas covered by step-by-step solutions, including math, chemistry and physics, or view more examples »

## Equation Solving

## More Math Topics

## A Guide to Problem Solving

Age 16 to 18.

When confronted with a problem, in which the solution is not clear, you need to be a skilled problem-solver to know how to proceed. When you look at STEP problems for the first time, it may seem like this problem-solving skill is out of your reach, but like any skill, you can improve your problem-solving with practice. How do I become a better problem-solver? First and foremost, the best way to become better at problem-solving is to try solving lots of problems! If you are preparing for STEP, it makes sense that some of these problems should be STEP questions, but to start off with it's worth spending time looking at problems from other sources. This collection of NRICH problems is designed for younger students, but it's very worthwhile having a go at a few to practise the problem-solving technique in a context where the mathematics should be straightforward to you. Then as you become a more confident problem-solver you can try more past STEP questions. One student who worked with NRICH said: "From personal experience, I was disastrous at STEP to start with. Yet as I persisted with it for a long time it eventually started to click - 'it' referring to being able to solve problems much more easily. This happens because your brain starts to recognise that problems fall into various categories and you subconsciously remember successes and pitfalls of previous 'similar' problems." A Problem-solving Heuristic for STEP Below you will find some questions you can ask yourself while you are solving a problem. The questions are divided into four phases, based loosely on those found in George Pólya's 1945 book "How to Solve It". Understanding the problem

- What area of mathematics is this?
- What exactly am I being asked to do?
- What do I know?
- What do I need to find out?
- What am I uncertain about?
- Can I put the problem into my own words?

Devising a plan

- Work out the first few steps before leaping in!
- Have I seen something like it before?
- Is there a diagram I could draw to help?
- Is there another way of representing?
- Would it be useful to try some suitable numbers first?
- Is there some notation that will help?

Carrying out the plan STUCK!

- Try special cases or a simpler problem
- Work backwards
- Guess and check
- Be systematic
- Work towards subgoals
- Imagine your way through the problem
- Has the plan failed? Know when it's time to abandon the plan and move on.

Looking back

- Have I answered the question?
- Sanity check for sense and consistency
- Check the problem has been fully solved
- Read through the solution and check the flow of the logic.

Throughout the problem solving process it's important to keep an eye on how you're feeling and making sure you're in control:

- Am I getting stressed?
- Is my plan working?
- Am I spending too long on this?
- Could I move on to something else and come back to this later?
- Am I focussing on the problem?
- Is my work becoming chaotic, do I need to slow down, go back and tidy up?
- Do I need to STOP, PEN DOWN, THINK?

Finally, don't forget that STEP questions are designed to take at least 30-45 minutes to solve, and to start with they will take you longer than that. As a last resort, read the solution, but not until you have spent a long time just thinking about the problem, making notes, trying things out and looking at resources that can help you. If you do end up reading the solution, then come back to the same problem a few days or weeks later to have another go at it.

- Register for our mailing list

## IMAGES

## VIDEO

## COMMENTS

Mathematics can be a challenging subject for many students. From basic arithmetic to complex calculus, solving math problems requires logical thinking and problem-solving skills. However, with the right approach and a step-by-step guide, yo...

Math homework can often be a challenging task, especially when faced with complex problems that seem daunting at first glance. However, with the right approach and problem-solving techniques, you can break down these problems into manageabl...

Mathematics can often be seen as a daunting subject, full of complex formulas and equations. Many students find themselves struggling to solve math problems and feeling overwhelmed by the challenges they face.

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

Enter problem or choose topic. 2 x + 5

Online math solver with free step by step solutions to algebra, calculus, and other math problems. Get help on the web or with our math app.

Understanding the Problem · Step 1 Identify the type of problem. · Step 2 Read the problem carefully. · Step 3 Paraphrase the problem.

Step 1: Understand the problem. · Step 2: Devise a plan (translate). · Step 3: Carry out the plan (solve). · Step 4: Look back (check and interpret)

6-Step Math Problem Solving Method. Write the Problem. 1. Circle the information (numbers) in the problem that is needed to solve this problem. Write the

Mathematics is a field where one can take multiple approaches to get to the solution of a problem. This simplified step-by-step approach will

4-Step Process for Problem Solving. 1. Understand the problem. • Draw diagrams/sketches. • Restate problem in your own words. • List the important details.

Get step-by-step answers and hints for your math homework problems. Learn the basics, check your work, gain insight on different ways to solve problems.

Think math is boring? You won't anymore! Let me guess - you don't believe me, right? Well I can assure you this interactive and engaging

When confronted with a problem, in which the solution is not clear, you need to be a skilled problem-solver to know how to proceed. When you look at STEP