## 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

- 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

- ABCTE Elementary
- AccuPlacer Arithmetic
- AccuPlacer Elementary Algebra
- AccuPlacer College-Level Math
- Next-Gen AccuPlacer Arithmetic
- Next-Gen AccuPlacer QAS
- Next-Gen AccuPlacer AAF
- AEPA Early Childhood
- AEPA Elementary
- AEPA Middle Grades
- AEPA Middle and Early Secondary
- ALEKS Basic Skills
- ALEKS College Algebra
- ALEKS Pre-Calculus
- ALEKS Statistics-Quantitative
- CLEP College Algebra
- CLEP College Mathematics
- CLT Quantitative Reasoning
- CLT8 Quantitative Reasoning
- CLT10 Quantitative Reasoning
- CSET Multiple Subjects
- FTCE Elementary Math
- FTCE General Knowlege
- FTCE Middle Grades
- GACE Admission Assessment
- GACE Middle Grades
- GACE Paraprofessional
- GCSE Foundations
- GCSE Higher Tier
- ILTS Elementary Education
- ILTS Middle Grades
- ILTS TAP Mathematics
- Indiana CORE Middle School
- Indiana CORE Elementary
- ISEE Middle Level
- ISEE Upper Level
- KYOTE College Algebra
- KYOTE College Readiness
- Math Placement
- Math Placement Basic Skills
- Math Placement College Algebra
- Math Placement Pre-Calculus
- Math Placement Stats-Quant
- MEGA Elementary Math 065
- MEGA Elementary Math 073
- MEGA Middle School Math 012
- MEGA Paraprofessional
- MTEL Elementary
- MTEL Middle School
- MTEL General
- MTLE Basic Skills
- MTLE Elementary
- MTLE Middle Level
- MyMathTest Basic Skills
- MyMathTest College Algebra
- MyMathTest Pre-Calculus
- MyMathTest Stats-Quantitative
- NES Elementary
- NES Essential Skills
- NES Middle Grades
- NES Middle and Early Secondary
- NMTA Basic Skills
- NMTA Elementary
- NMTA Middle Grades
- NY Regents Algebra
- NY Regents Geometry
- NYSTCE Birth-Grade 2 (246)
- NYSTCE Grades 1-6 (222)
- NYSTCE Grades 5-9 (232)
- OAE Elementary
- OAE Middle Grades
- ORELA Elementary
- ORELA Essential Skills
- ORELA Middle Grades
- OSAT Elementary
- OSAT Middle/Intermediate
- PARCC Algebra 1
- PARCC Geometry
- PARCC Grade 7
- PARCC Grade 8
- PECT Grades 4-8 Core
- PECT Grades 4-8 Subject
- PRAXIS Algebra 1
- PRAXIS Core (5732)
- PRAXIS Core (5733)
- PRAXIS Early Childhood 5026/5028
- PRAXIS Elementary 5001/5003
- PRAXIS Elementary (5018)
- PRAXIS Elementary 5901/5903
- PRAXIS Elementary 7803/7813
- PRAXIS Fundamental Subjects (5511)
- PRAXIS Geometry
- PRAXIS Middle School (5146)
- PRAXIS Middle School (5164)
- PRAXIS Middle School (5169)
- PRAXIS ParaPro (1755)
- PSB Aptitude for Practical Nursing
- PSB Health Occupations Aptitude
- PSB Registered Nursing Aptitude
- SSAT Upper Level
- STAAR Algebra 1
- STAAR Geometry
- STAAR Grade 6
- STAAR Grade 7
- STAAR Grade 8
- Smarter Balanced Grade 7
- Smarter Balanced Grade 8
- TABE A 11&12
- TABE D 11&12
- TExES Core Subjects Math 4-8
- TExES Math 4-8
- TX PACT Core
- TX PACT EAS
- TX PACT Mid-Math
- Virginia SOL Algebra 1
- Virginia SOL Geometry
- Washington Algebra 1
- Washington Geometry
- All math placement tests
- All math test prep courses
- 4th Grade Math 5th Grade Math 6th Grade Math Pre-Algebra Algebra 1 Geometry Algebra 2
- College Pre-Algebra Introductory Algebra Intermediate Algebra College Algebra Co-Requisite Course for College Algebra Co-Requisite Course for Quantitative Reasoning Co-Requisite Course for Statistics

## The Smart Way to Conquer Math

Now offering math placement test prep for your exact college.

## What makes Math Help different?

We give students the confidence to succeed in math.

I have always told everyone that I’m awful at math. It turns out, I’m not. The program broke it down so easily and helped me tremendously. Thank you, thank you, thank you!! Samantha Witczak

Cookies are not enabled on your browser. Please enable cookies in your browser preferences to continue.

After you're corrected the required setting(s) refresh/reload this page.

If you need assistance please contact [email protected]

## The learning doesn't have to stop!

Become a MathHelp.com member today and receive unlimited access to lessons, grade reports, practice tests, and more!

## Already a member?

Become a MathHelp.com member today and receive unlimited access to lessons, grade reports, reviews and more!

*"Tutoring" recommended for classroom students

## Free Wolfram|Alpha Math Resources

Free help with your math—check your answers, quiz yourself, explore topics and more.

## Wolfram|Alpha Website

Use the Wolfram|Alpha website for free to check answers, plot equations, balance chemical equations, visualize results, review interesting facts on a subject area and more.

## Math Input on the Wolfram|Alpha Website

Use textbook notation to enter your math input and see it displayed in 2D. We've provided popular templates for you to use, as better visualization and quick editing mean faster results.

## Use Wolfram|Alpha to Practice

With Wolfram Problem Generator, each question is generated instantly, just for you. Quiz yourself with an unlimited number of questions until you feel confident in the subject area.

## Wolfram|Alpha Math Topic Coverage

Wolfram|Alpha has broad knowledge and deep computational power when it comes to math. Whether it be arithmetic, algebra, calculus, differential equations or anything in between, Wolfram|Alpha is up to the challenge.

## Wolfram|Alpha Calculators

Use our convenient calculator pages to input your queries into Wolfram|Alpha. Read more information on topic areas and explore example queries.

## Wolfram|Alpha Mobile Apps

After a one-time purchase, check your answers on the go using our iOS, Android and Windows Wolfram|Alpha apps.

## Wolfram|Alpha Pro Resources

Add more to your toolbox with Wolfram|Alpha Pro! Get step-by-step solution help, generate printable worksheets and more! Discounts are available for students and educators— go Pro now »

## Learn with Step-by-Step Solutions

Unlock step-by-step calculators for calculus, algebra, trigonometry, equation solving and basic math. Gain more understanding of your math homework with step-by-step hints guiding you from problems to answers!

## Enhanced Features for Wolfram Problem Generator

Wolfram|Alpha Pro subscribers get integrated step-by-step solutions and can create unlimited printable worksheets for study sessions and quizzes.

## Web Apps Powered by Wolfram|Alpha

Easy inputs with our form-based interfaces get you straight to answers. Our Web App collections cover a wide variety of math topics, including algebra, calculus and more.

## Use Step-by-Step Solutions on Your iOS Device

Pro users can log in to their accounts in the Wolfram|Alpha iOS app to use step-by-step solutions on the go.

## Wolfram|Alpha Notebook Edition Resources

The simplicity of Wolfram|Alpha with the computational capabilities of Mathematica— try it now »

## Wolfram|Alpha Notebook Edition

Take Wolfram|Alpha to the next level with a unified software tool for desktop and cloud perfect for teaching and learning. Use free-form input to get instant answers to questions, create and customize graphs, and turn static examples into dynamic models.

## Hands-on Start to Wolfram|Alpha Notebook Edition

Learn how to quickly create notebooks that combine calculations, graphics, interactive examples and notes; enter free-form input and get solutions; create 2D, 3D and interactive graphics with controls to dynamically change the parameters; and more.

## Additional Resources

## Support Us - Disable AdBlock

We saw that you are using AdBlock to block the ads from this website. We also don't like ads but at the end of the day we need to pay the bills for the server to keep this website running. So, if you want to support us, please disable AdBlock for this website. Hope you enjoy our math solvers and calculators designed to help you solve your math problems and understand the concepts behind them !

Thanks, SolveMyMath Team.

Voted as Best Calculator: Percentage Calculator

Math Help List:

## SolveMyMath - Your math help website

Get math help fast and online with more than one hundred instant and even step-by-step math solvers and calculators designed to help you solve your math problems and understand the concepts behind them!

## Search Our Math Help DataBase

··· or use our quick links below ···.

- Algebra Download PDF View now
- Calculus: derivatives and limits Download PDF View now
- Calculus: integrals Download PDF View now
- Geometry: shapes and solids Download PDF View now
- Trigonometry: definition Download PDF View now
- Trigonometry: laws and identities Download PDF View now
- Privacy Policy

Copyright © 2006-2024 SolveMyMath. All rights are reserved.

## 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!

- HW Guidelines
- Study Skills Quiz
- Find Local Tutors
- Demo MathHelp.com
- Join MathHelp.com

## Select a Course Below

- ACCUPLACER Math
- Math Placement Test
- PRAXIS Math
- + more tests
- 5th Grade Math
- 6th Grade Math
- Pre-Algebra
- College Pre-Algebra
- Introductory Algebra
- Intermediate Algebra
- College Algebra

Lessons HW Guidelines Skills Survey

Need help with math? Start browsing Purplemath's free resources below!

## What are Purplemath's lessons like?

Content Continues Below

## MathHelp.com

Need a custom math course? K12 | College | Test Prep

## How much do these lessons cost?

Purplemath's lessons cost nothing! These lessons are free, are intended for students (rather than for instructors), and are interlinked to help you find related material. There is a "Search" box on every page to help you find whatever math content you're looking for — without encountering ads masquerading as search results. Whether you're in middle school, high school, college, or university, these free algebra lessons can help you out!

## How can I use Purplemath's lessons?

Purplemath's math lessons can be used in many ways:

- Read the lesson that relates to what you're about to study in class, so you get to class at least somewhat prepared.
- Print out the lesson that relates to what you're about to study in class, and use the margins, white space, or the backs of pages for taking notes in class.
- When the homework seems impossible and the textbook and your class notes aren't helping much, come to Purplemath for clarification.

Let Purplemath help you always be prepared!

Go to the lessons!

## How should I be formatting my homework?

Neat homework can aid your comprehension and might make your teacher like you better. Purplemath's " Homework Guidelines for Mathematics " will give you a leg up, explaining in clear terms what your math teacher is looking for. The Guidelines link to examples of common errors, and demonstrate techniques that your instructors will love! In addition, students who get in the habit of explaining themselves clearly in their homework gain greater understanding of what they're doing, and therefore tend to do much better on their tests.

English teachers tell their students explicitly how to format their papers: what fonts, what page margins, what style guides, etc. Math teachers, on the other hand, frequently just complain amongst themselves in the faculty lounge about how messy their students' work is. Meanwhile, their students wonder why they've lost points on homework and tests.

Study these Guidelines , print out this " formatting " PDF, and improve your learning, retention, and test scores. Don't leave easy points on the table!

Go to the Guidelines!

## How can I measure my study skills?

Many students, from time to time, wonder, "Do I have what it takes to succeed in math?" Much of one's success or failure in algebra can be laid at the feet of one's study habits. Do you have good math study habits? Take this survey and find out.

Go to the study-skills self-survey!

Personalized Help ($): Investigate hiring a qualified tutor in your local area (US only), or try e-mail tutoring from Purplemath's author. But for in-depth, quality, video-supported, at-home help, including self-testing and immediate feedback, try MathHelp.com . MathHelp.com comes highly recommended by homeschoolers, military service members, and other practical people. If you're needing more intensive help, give MathHelp.com a try!

Privacy: You may review Purplemath's cookies policy here and Purplemath's privacy policy here .

URL: https://www.purplemath.com/index.htm

## Standardized Test Prep

College math, homeschool math, share this page.

- Terms of Use
- About Purplemath
- About the Author
- Tutoring from PM
- Advertising
- Linking to PM
- Site licencing

## Visit Our Profiles

## Your math problems are

About to be solved, math explained instantly, anytime, anywhere.

Available on your smartphone, tablet, laptop, or desktop PC.

Try Us for Free:

- Terms of service
- Refunds policy
- Algebra help FAQ
- Restore password
- Create new account

## Supercharge your math learning

Use our ai-powered math solver to learn math & physics step-by-step, free examples solved step-by-step, trigonometry, derivatives, differential equations, youtube channel.

## Enter a Problem. Solve and Learn!

We know that math can be difficult, that's why we are here to support you. SnapXam is an AI-powered math tutor, that will help you to understand how to solve math problems from arithmetic to calculus. Save time in understanding mathematical concepts and finding explanatory videos.

With SnapXam , spending hours and hours studying trying to understand is a thing of the past. Learn to solve problems in a better way and in a fraction of the time.

Solved problems

Students learning

in 100+ countries

## "It's literally like Jarvis."

- Premium user

## Learn from wherever you are

In the classroom, on the bus, or at your home.

Access solutions to your problems from all your devices at any time you need.

Having SnapXam is like taking a book with thousands of solved problems, that fits in your pocket!

If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

## Unit 1: Algebra foundations

Unit 2: solving equations & inequalities, unit 3: working with units, unit 4: linear equations & graphs, unit 5: forms of linear equations, unit 6: systems of equations, unit 7: inequalities (systems & graphs), unit 8: functions, unit 9: sequences, unit 10: absolute value & piecewise functions, unit 11: exponents & radicals, unit 12: exponential growth & decay, unit 13: quadratics: multiplying & factoring, unit 14: quadratic functions & equations, unit 15: irrational numbers, unit 16: creativity in algebra.

## Meet Photomath.

## Anytime. Anywhere.

You may feel like the only one who’s confused, but you’re not alone. Every single month Photomath helps millions of learners understand their math.

## Math, explained.

For elementary through college..

Elementary math

Trigonometry

## Build your math mind

## Math from all angles: Photomath for different learning styles

## Study Tips to Find Your Focus and Ace Your Next Math Test

## Overcoming Math Anxiety: How to Conquer Fear & Build Confidence

## How Photomath Helps with More than Just Homework

Explore your options.

Step-by-step explanations

Custom visual aids

Extra “how” and “why” tips

Deep-dive solutions for hundreds of textbooks

- Start trial

## Equation Solver

What do you want to calculate.

- Solve for Variable
- Practice Mode
- Step-By-Step

## Example (Click to try)

How to solve your equation, solving equations video lessons.

- Solving Simple Equations

Need more problem types? Try MathPapa Algebra Calculator

## Want Better Math Grades?

✅ Unlimited Solutions

✅ Step-by-Step Answers

✅ Available 24/7

➕ Free Bonuses ($1085 value!)

Chapter Contents ⊗

- Search IntMath
- Math interactives
- About (site info)
- Uses of Trignometry
- ASCIIMath input, KaTeX output
- ASCIIMath input, LaTeX and KaTeX output
- Send Math in emails
- Syntax for ASCIIMathML
- Math Display Experiments
- Scientific Notebook

## Math Problem Solver

Math Tutoring

Need help? Chat with a tutor anytime, 24/7 .

Chat Now »

## 🤖 Math Solver & Calculator

This tool combines the power of mathematical computation engine that excels at solving mathematical formulas with the power of artificial intelligence large language models to parse and generate natural language answers. This creates a math problem solver that's more accurate than ChatGPT, more flexible than a math calculator, and provides answers faster than a human tutor.

Sign up for free here .

## Problem Solver Subjects

Our math problem solver that lets you input a wide variety of math math problems and it will provide a step by step answer. This math solver excels at math word problems as well as a wide range of math subjects.

- Math Word Problems
- Pre-Algebra
- Geometry Graphing
- Trigonometry
- Precalculus
- Finite Math
- Linear Algebra

Here are example math problems within each subject that can be input into the calculator and solved. This list is constanstly growing as functionality is added to the calculator.

## Basic Math Solutions

Below are examples of basic math problems that can be solved.

- Long Arithmetic
- Rational Numbers
- Operations with Fractions
- Ratios, Proportions, Percents
- Measurement, Area, and Volume
- Factors, Fractions, and Exponents
- Unit Conversions
- Data Measurement and Statistics
- Points and Line Segments

## Math Word Problem Solutions

Math word problems require interpreting what is being asked and simplifying that into a basic math equation. Once you have the equation you can then enter that into the problem solver as a basic math or algebra question to be correctly solved. Below are math word problem examples and their simplified forms.

Word Problem: Rachel has 17 apples. She gives some to Sarah. Sarah now has 8 apples. How many apples did Rachel give her?

Simplified Equation: 17 - x = 8

Word Problem: Rhonda has 12 marbles more than Douglas. Douglas has 6 marbles more than Bertha. Rhonda has twice as many marbles as Bertha has. How many marbles does Douglas have?

Variables: Rhonda's marbles is represented by (r), Douglas' marbles is represented by (d) and Bertha's marbles is represented by (b)

Simplified Equation: {r = d + 12, d = b + 6, r = 2 × b}

Word Problem: if there are 40 cookies all together and Angela takes 10 and Brett takes 5 how many are left?

Simplified: 40 - 10 - 5

## Pre-Algebra Solutions

Below are examples of Pre-Algebra math problems that can be solved.

- Variables, Expressions, and Integers
- Simplifying and Evaluating Expressions
- Solving Equations
- Multi-Step Equations and Inequalities
- Ratios, Proportions, and Percents
- Linear Equations and Inequalities

## Algebra Solutions

Below are examples of Algebra math problems that can be solved.

- Algebra Concepts and Expressions
- Points, Lines, and Line Segments
- Simplifying Polynomials
- Factoring Polynomials
- Linear Equations
- Absolute Value Expressions and Equations
- Radical Expressions and Equations
- Systems of Equations
- Quadratic Equations
- Inequalities
- Complex Numbers and Vector Analysis
- Logarithmic Expressions and Equations
- Exponential Expressions and Equations
- Conic Sections
- Vector Spaces
- 3d Coordinate System
- Eigenvalues and Eigenvectors
- Linear Transformations
- Number Sets
- Analytic Geometry

## Trigonometry Solutions

Below are examples of Trigonometry math problems that can be solved.

- Algebra Concepts and Expressions Review
- Right Triangle Trigonometry
- Radian Measure and Circular Functions
- Graphing Trigonometric Functions
- Simplifying Trigonometric Expressions
- Verifying Trigonometric Identities
- Solving Trigonometric Equations
- Complex Numbers
- Analytic Geometry in Polar Coordinates
- Exponential and Logarithmic Functions
- Vector Arithmetic

## Precalculus Solutions

Below are examples of Precalculus math problems that can be solved.

- Operations on Functions
- Rational Expressions and Equations
- Polynomial and Rational Functions
- Analytic Trigonometry
- Sequences and Series
- Analytic Geometry in Rectangular Coordinates
- Limits and an Introduction to Calculus

## Calculus Solutions

Below are examples of Calculus math problems that can be solved.

- Evaluating Limits
- Derivatives
- Applications of Differentiation
- Applications of Integration
- Techniques of Integration
- Parametric Equations and Polar Coordinates
- Differential Equations

## Statistics Solutions

Below are examples of Statistics problems that can be solved.

- Algebra Review
- Average Descriptive Statistics
- Dispersion Statistics
- Probability
- Probability Distributions
- Frequency Distribution
- Normal Distributions
- t-Distributions
- Hypothesis Testing
- Estimation and Sample Size
- Correlation and Regression

## Finite Math Solutions

Below are examples of Finite Math problems that can be solved.

- Polynomials and Expressions
- Equations and Inequalities
- Linear Functions and Points
- Systems of Linear Equations
- Mathematics of Finance
- Statistical Distributions

## Linear Algebra Solutions

Below are examples of Linear Algebra math problems that can be solved.

- Introduction to Matrices
- Linear Independence and Combinations

## Chemistry Solutions

Below are examples of Chemistry problems that can be solved.

- Unit Conversion
- Atomic Structure
- Molecules and Compounds
- Chemical Equations and Reactions
- Behavior of Gases
- Solutions and Concentrations

## Physics Solutions

Below are examples of Physics math problems that can be solved.

- Static Equilibrium
- Dynamic Equilibrium
- Kinematics Equations
- Electricity
- Thermodymanics

## Geometry Graphing Solutions

Below are examples of Geometry and graphing math problems that can be solved.

- Step By Step Graphing
- Linear Equations and Functions
- Polar Equations

Looking for the old Mathway Calculator? We've moved it to here .

This tool combines the power of mathematical computation engine that excels at solving mathematical formulas with the power of GPT large language models to parse and generate natural language. This creates math problem solver thats more accurate than ChatGPT, more flexible than a calculator, and faster answers than a human tutor. Learn More.

## Solver Title

## Generating PDF...

- Pre Algebra Order of Operations Factors & Primes Fractions Long Arithmetic Decimals Exponents & Radicals Ratios & Proportions Percent Modulo Number Line Mean, Median & Mode
- Algebra Equations Inequalities System of Equations System of Inequalities Basic Operations Algebraic Properties Partial Fractions Polynomials Rational Expressions Sequences Power Sums Interval Notation Pi (Product) Notation Induction Logical Sets Word Problems
- Pre Calculus Equations Inequalities Scientific Calculator Scientific Notation Arithmetics Complex Numbers Polar/Cartesian Simultaneous Equations System of Inequalities Polynomials Rationales Functions Arithmetic & Comp. Coordinate Geometry Plane Geometry Solid Geometry Conic Sections Trigonometry
- Calculus Derivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin Series Fourier Series Fourier Transform
- Functions Line Equations Functions Arithmetic & Comp. Conic Sections Transformation
- Linear Algebra Matrices Vectors
- Trigonometry Identities Proving Identities Trig Equations Trig Inequalities Evaluate Functions Simplify
- Statistics Mean Geometric Mean Quadratic Mean Average Median Mode Order Minimum Maximum Probability Mid-Range Range Standard Deviation Variance Lower Quartile Upper Quartile Interquartile Range Midhinge Standard Normal Distribution
- Physics Mechanics
- Chemistry Chemical Reactions Chemical Properties
- Finance Simple Interest Compound Interest Present Value Future Value
- Economics Point of Diminishing Return
- Conversions Radical to Exponent Exponent to Radical To Fraction To Decimal To Mixed Number To Improper Fraction Radians to Degrees Degrees to Radians Hexadecimal Scientific Notation Distance Weight Time
- Pre Algebra
- One-Step Addition
- One-Step Subtraction
- One-Step Multiplication
- One-Step Division
- One-Step Decimals
- Two-Step Integers
- Two-Step Add/Subtract
- Two-Step Multiply/Divide
- Two-Step Fractions
- Two-Step Decimals
- Multi-Step Integers
- Multi-Step with Parentheses
- Multi-Step Rational
- Multi-Step Fractions
- Multi-Step Decimals
- Solve by Factoring
- Completing the Square
- Quadratic Formula
- Biquadratic
- Logarithmic
- Exponential
- Rational Roots
- Floor/Ceiling
- Equation Given Roots
- Newton Raphson
- Substitution
- Elimination
- Cramer's Rule
- Gaussian Elimination
- System of Inequalities
- Perfect Squares
- Difference of Squares
- Difference of Cubes
- Sum of Cubes
- Polynomials
- Distributive Property
- FOIL method
- Perfect Cubes
- Binomial Expansion
- Negative Rule
- Product Rule
- Quotient Rule
- Expand Power Rule
- Fraction Exponent
- Exponent Rules
- Exponential Form
- Logarithmic Form
- Absolute Value
- Rational Number
- Powers of i
- Partial Fractions
- Is Polynomial
- Leading Coefficient
- Leading Term
- Standard Form
- Complete the Square
- Synthetic Division
- Linear Factors
- Rationalize Denominator
- Rationalize Numerator
- Identify Type
- Convergence
- Interval Notation
- Pi (Product) Notation
- Boolean Algebra
- Truth Table
- Mutual Exclusive
- Cardinality
- Caretesian Product
- Age Problems
- Distance Problems
- Cost Problems
- Investment Problems
- Number Problems
- Percent Problems
- Addition/Subtraction
- Multiplication/Division
- Dice Problems
- Coin Problems
- Card Problems
- Pre Calculus
- Linear Algebra
- Trigonometry
- Conversions

## Most Used Actions

Number line.

- \mathrm{Lauren's\:age\:is\:half\:of\:Joe's\:age.\:Emma\:is\:four\:years\:older\:than\:Joe.\:The\:sum\:of\:Lauren,\:Emma,\:and\:Joe's\:age\:is\:54.\:How\:old\:is\:Joe?}
- \mathrm{Kira\:went\:for\:a\:drive\:in\:her\:new\:car.\:She\:drove\:for\:142.5\:miles\:at\:a\:speed\:of\:57\:mph.\:For\:how\:many\:hours\:did\:she\:drive?}
- \mathrm{The\:sum\:of\:two\:numbers\:is\:249\:.\:Twice\:the\:larger\:number\:plus\:three\:times\:the\:smaller\:number\:is\:591\:.\:Find\:the\:numbers.}
- \mathrm{If\:2\:tacos\:and\:3\:drinks\:cost\:12\:and\:3\:tacos\:and\:2\:drinks\:cost\:13\:how\:much\:does\:a\:taco\:cost?}
- \mathrm{You\:deposit\:3000\:in\:an\:account\:earning\:2\%\:interest\:compounded\:monthly.\:How\:much\:will\:you\:have\:in\:the\:account\:in\:15\:years?}
- How do you solve word problems?
- To solve word problems start by reading the problem carefully and understanding what it's asking. Try underlining or highlighting key information, such as numbers and key words that indicate what operation is needed to perform. Translate the problem into mathematical expressions or equations, and use the information and equations generated to solve for the answer.
- How do you identify word problems in math?
- Word problems in math can be identified by the use of language that describes a situation or scenario. Word problems often use words and phrases which indicate that performing calculations is needed to find a solution. Additionally, word problems will often include specific information such as numbers, measurements, and units that needed to be used to solve the problem.
- Is there a calculator that can solve word problems?
- Symbolab is the best calculator for solving a wide range of word problems, including age problems, distance problems, cost problems, investments problems, number problems, and percent problems.
- What is an age problem?
- An age problem is a type of word problem in math that involves calculating the age of one or more people at a specific point in time. These problems often use phrases such as 'x years ago,' 'in y years,' or 'y years later,' which indicate that the problem is related to time and age.

word-problems-calculator

- Middle School Math Solutions – Inequalities Calculator Next up in our Getting Started maths solutions series is help with another middle school algebra topic - solving... Read More

Please add a message.

Message received. Thanks for the feedback.

## Meet our funky new math teacher - an AI-powered whiz kid! From algebra to geometry, there's no problem too big for our digital Einstein. So buckle up and get ready to enjoy a wild math ride with the coolest teacher in town!

Chat history editing options:, explore different ai chat modes:, what is genius mode.

It is an enhanced version of AI Chat that provides more knowledge, fewer errors, improved reasoning skills, better verbal fluidity, and an overall superior performance. Due to the larger AI model, Genius Mode is only available via subscription to DeepAI Pro. However, the added benefits often make it a worthwhile investment.

## What is Online Mode?

It is an add on that enables AI Chat to browse the web for real-time information. It is a great way to learn new things and explore new topics. Sign in to your DeepAI account (no subscription required!) to gain access to this feature.

## Learn more about Math AI:

Please sign up or login with your details

Generation Overview

AI Generator calls

AI Chat messages

Genius Mode messages

Genius Mode images

AD-free experience

Private images

- Includes 500 AI Image generations, 1750 AI Chat Messages, 60 Genius Mode Messages and 60 Genius Mode Images per month. If you go over any of these limits, you will be charged an extra $5 for that group.
- For example: if you go over 500 AI images, but stay within the limits for AI Chat and Genius Mode, you'll be charged $5 per additional 500 AI Image generations.
- Includes 100 AI Image generations and 300 AI Chat Messages. If you go over any of these limits, you will have to pay as you go.
- For example: if you go over 100 AI images, but stay within the limits for AI Chat, you'll have to reload on credits to generate more images. Choose from $5 - $1000. You'll only pay for what you use.

## Out of credits

Refill your membership to continue using DeepAI

share this!

February 13, 2024

This article has been reviewed according to Science X's editorial process and policies . Editors have highlighted the following attributes while ensuring the content's credibility:

fact-checked

trusted source

written by researcher(s)

## What are 'multiplication facts'? Why are they essential to your child's success in math?

by Bronwyn Reid O'Connor and Benjamin Zunica, The Conversation

One of the essential skills students need to master in primary school mathematics are "multiplication facts."

What are they? What are they so important? And how can you help your child master them?

## What are multiplication facts?

Multiplication facts typically describe the answers to multiplication sums up to 10x10. Sums up to 10x10 are called "facts" as it is expected they can be easily and quickly recalled. You may recall learning multiplication facts in school from a list of times tables.

The shift from "times tables" to "multiplication facts" is not just about language. It stems from teachers wanting children to see how multiplication facts can be used to solve a variety of problems beyond the finite times table format.

For example, if you learned your times tables in school (which typically went up to 12x12 and no further), you might be stumped by being asked to solve 15x8 off the top of your head. In contrast, we hope today's students can use their multiplication facts knowledge to quickly see how 15x8 is equivalent to 10x8 plus 5x8.

The shift in terminology also means we are encouraging students to think about the connections between facts. For example, when presented only in separate tables, it is tricky to see how 4x3 and 3x4 are directly connected.

## Math education has changed

In a previous piece, we talked about how mathematics education has changed over the past 30 years.

In today's mathematics classrooms, teachers still focus on developing students' mathematical accuracy and fast recall of essential facts, including multiplication facts.

But we also focus on developing essential problem-solving skills. This helps students form connections between concepts, and learn how to reason through a variety of real-world mathematical tasks.

## Why are multiplication facts so important?

By the end of primary school, it is expected students will know multiplication facts up to 10x10 and can recall the related division fact (for example, 10x9=90, therefore 90÷10=9).

Learning multiplication facts is also essential for developing "multiplicative thinking." This is an understanding of the relationships between quantities, and is something we need to know how to do on a daily basis.

When we are deciding whether it is better to purchase a 100g product for $3 or a 200g product for $4.50, we use multiplicative thinking to consider that 100g for $3 is equivalent to 200g for $6—not the best deal!

Multiplicative thinking is needed in nearly all math topics in high school and beyond. It is used in many topics across algebra, geometry, statistics and probability.

This kind of thinking is profoundly important. Research shows students who are more proficient in multiplicative thinking perform significantly better in mathematics overall.

In 2001, an extensive RMIT study found there can be as much as a seven-year difference in student ability within one mathematics class due to differences in students' ability to access multiplicative thinking.

These findings have been confirmed in more recent studies, including a 2021 paper .

So, supporting your child to develop their confidence and proficiency with multiplication is key to their success in high school mathematics. How can you help?

Below are three research-based tips to help support children from Year 2 and beyond to learn their multiplication facts.

## 1. Discuss strategies

One way to help your child's confidence is to discuss strategies for when they encounter new multiplication facts.

Prompt them to think of facts they already and how they can be used for the new fact.

For example, once your child has mastered the x2 multiplication facts, you can discuss how 3x6 (3 sixes) can be calculated by doubling 6 (2x6) and adding one more 6. We've now realized that x3 facts are just x2 facts "and one more"!

Strategies can be individual: students should be using the strategy that makes the most sense to them. So you could ask a questions such as "if you've forgotten 6x7, how could you work it out?" (we might personally think of 6x6=36 and add one more 6, but your child might do something different and equally valid).

This is a great activity for any quiet car trip. It can also be a great drawing activity where you both have a go at drawing your strategy and then compare. Identifying multiple strategies develops flexible thinking.

## 2. Help them practice

Practicing recalling facts under a friendly time crunch can be helpful in achieving what teachers call "fluency" (that is, answering quickly and easily).

A great game you could play with your children is " multiplication heads up " . Using a deck of cards, your child places a card to their forehead where you can see but they cannot. You then flip over the top card on the deck and reveal it to your child. Using the revealed card and the card on your child's head you tell them the result of the multiplication (for example, if you flip a 2 and they have a 3 card, then you tell them "6!").

Based on knowing the result, your child then guesses what their card was.

If it is challenging to organize time to pull out cards, you can make an easier game by simply quizzing your child. Try to mix it up and ask questions that include a range of things they know well with and ones they are learning.

Repetition and rehearsal will mean things become stored in long-term memory.

## 3. Find patterns

Another great activity to do at home is print some multiplication grids and explore patterns with your child.

A first start might be to give your child a blank or partially blank multiplication grid which they can practice completing.

Then, using colored pencils, they can color in patterns they notice. For example, the x6 column is always double the answer in the x3 column. Another pattern they might see is all the even answers are products of 2, 4, 6, 8, 10. They can also notice half of the grid is repeated along the diagonal.

This also helps your child become a mathematical thinker, not just a calculator.

The importance of multiplication for developing your child's success and confidence in mathematics cannot be understated. We believe these ideas will give you the tools you need to help your child develop these essential skills.

Provided by The Conversation

Explore further

Feedback to editors

## CERN researchers measure speed of sound in the quark–gluon plasma more precisely than ever before

7 hours ago

## NASA's final tally shows spacecraft returned double the amount of asteroid rubble

## Harnessing light with hemispherical shells for improved photovoltaics

## New species of pirate spiders discovered on South Atlantic island

8 hours ago

## Bacteria in the Arctic seabed are active all year round, researchers find

9 hours ago

## Martians wanted: Apply here now for NASA's simulated yearlong Mars mission

## 5,000 atoms are all you need: The smallest solid-state ferroelectricity

## Stabilizing mRNA vaccines for delivery to cells

10 hours ago

## Measuring neutrons to reduce nuclear waste: New technique paves the way for improved nuclear waste treatment facilities

## 'Live fast, die young': Agriculture is transforming entire ecosystems

Relevant physicsforums posts, negative radius convention equivalent but not equal.

Feb 14, 2024

## Are these two optimization problems equivalent?

Tennis probabilities challenge, degrees of freedom in lagrangian mechanics for a fractal path.

Feb 13, 2024

## Requesting constructive criticism for my paper

Feb 12, 2024

## A function and its inverse

More from General Math

## Related Stories

## Mathematical bedtime stories may build better mathematical memory

Oct 3, 2023

## Why teachers are letting students solve math problems in lots of different ways

Feb 1, 2023

## Dyscalculia: How to support your child if they have mathematical learning difficulties

Nov 30, 2022

## Seven ways to help your kids with math homework

May 12, 2017

## The simple reason a viral math equation stumped the internet

Aug 29, 2022

## Think you're bad at math? You may suffer from 'math trauma'

Nov 1, 2018

## Recommended for you

## Reading on screens instead of paper is a less effective way to absorb and retain information, suggests research

Feb 6, 2024

## Mathematical model connects innovation and obsolescence to unify insights across diverse fields

Feb 5, 2024

## Swarming cicadas, stock traders, and the wisdom of the crowd

Feb 1, 2024

## Researchers use simulations to tackle finite sphere-packing problem and 'sausage catastrophe'

Jan 31, 2024

## A manifold fitting approach for high-dimensional data reduction beyond Euclidean space

Jan 29, 2024

## Certain personality traits linked to college students' sense of belonging

Jan 17, 2024

## Let us know if there is a problem with our content

Use this form if you have come across a typo, inaccuracy or would like to send an edit request for the content on this page. For general inquiries, please use our contact form . For general feedback, use the public comments section below (please adhere to guidelines ).

Please select the most appropriate category to facilitate processing of your request

Thank you for taking time to provide your feedback to the editors.

Your feedback is important to us. However, we do not guarantee individual replies due to the high volume of messages.

## E-mail the story

Your email address is used only to let the recipient know who sent the email. Neither your address nor the recipient's address will be used for any other purpose. The information you enter will appear in your e-mail message and is not retained by Phys.org in any form.

## Newsletter sign up

Get weekly and/or daily updates delivered to your inbox. You can unsubscribe at any time and we'll never share your details to third parties.

More information Privacy policy

## Donate and enjoy an ad-free experience

We keep our content available to everyone. Consider supporting Science X's mission by getting a premium account.

## E-mail newsletter

## Game Central

## 11 Helpful Math Tricks You Need to Know

I magine being able to slowly rewire your brain to become more logical and more efficient at solving problems. Many people are surprised to learn this occurs when they study mathematics. Math tends to be one of those subjects that people either love or hate.

Regardless of your level of enthusiasm, there are key math tips that can help you navigate difficult problems more fluidly. Let’s explore some of the most notable math tricks to keep in mind.

## 1. Multiplying by 6

This is one of the best ways to improve your fast math skills. When you multiply six by an even number, the answer you get will always end in the same digit as the number you multiply it by. For instance, imagine you multiply six by four. The answer is 24.

Multiplying six by two, four, six, and eight produces similar results. Keep this tip in mind so you can streamline your workflow. The less often you have to use a calculator, the better.

## 2. Multiplying 5 Times Any Number

If you’re multiplying five by an even number, take the number you’re multiplying five by and halve it. If you’re multiplying five by four, you’d reduce four to two. You then add zero to that number.

In the above example, you’d get 20. If you’re multiplying five by an odd number, you subtract one from that number. Multiplying five by five would require you to briefly multiply five by four.

You then halve this number and add five as the last digit. You’d get 25 by using this method for the aforementioned problem.

## 3. Squaring Numbers Ending in Five

This one’s a bit more specific than the others on this list, but it’s still fairly useful. Let’s consider 35 in this example. First, multiply the first digit by itself.

You then add one to this number. Afterwards, put 25 at the end. This would give you 12 and 25. Combine these two numbers to get 1,225.

In the situations where this tip is applicable, you’ll find it saves you a substantial amount of time. Numbers that end in five are some of the most common you’ll encounter.

## 4. Subtracting from 1,000

Dealing with the number 1,000 is something most people do daily. This is true when calculating expenses, paying bills, etc. When subtracting a number from 1,000, subtract each number from nine except for the last digit. Instead, subtract the last number from 10.

For example, assume you subtract 365 from 1,000. You would subtract three from nine, subtract six from nine, and then subtract five from 10. The answer would be 635. Try it out with different numbers to see for yourself!

## 5. Multiplying by 9

Need to quickly multiply a number by nine? Let’s assume you’re multiplying nine by three. Subtract one from the number you’re multiplying by nine. For context, you’d subtract one from three to get two.

Then, subtract that number from nine. In this case, subtracting two from nine will yield seven. Combine these two numbers to get the result.

To clarify, multiplying nine by three would get you 27.

## 6. Multiplying Numbers Ending in Zero

This is a great way to make large numbers seem much more manageable. It simply involves multiplying the other digits of the number and adding extra zeros at the end. Let’s consider 200 multiplied by 400.

You’d multiply two by four and then add the total number of zeros in the original problem at the end. When working with 200 x 400, there are four zeros total. If you follow these instructions correctly in this problem, you’d get 80,000.

## 7. Division Tips

You can make division much easier for yourself when you quickly understand when a number can be evenly divided by certain other numbers. If a number ends in zero, you can divide it by 10. When dividing large numbers, add up the digits together.

If they’re evenly divisible by nine, then so is the original number. If the last three digits of a number are evenly divisible by eight, you can divide the original number by eight.

The same is true if the number ends with three zeros. Add up the digits of an even number you’re working with. If this result is divisible by three, then you can divide the original by three evenly.

To check if a number is divisible by five, it simply needs to end in a zero or a five. Numbers that end in two zeros or two digits that are divisible by four are also divisible by four.

You can assess if a number is divisible by three if you add up the number’s digits and they’re also divisible by three. Numbers that end in zero, two, four, six, or eight are divisible by two.

## 9. Finding Percentages

Many people hate working with percentages, but there are ways to streamline this process. Imagine you need to find 5% of 235.

Move the decimal one place to the left, which would give us 23.5 in this case. You can then divide this number by two to get the answer to the original problem.

## 10. Complex Multiplication

You can quickly multiply large numbers by using this technique. However, it only works if one of the numbers is even. Halve the even number and double the other number. When multiplying 20 x 135, this would briefly create 10 x 270, which in turn yields 2,700.

## 11. Finding Least Common Multiples

Using the least common multiple solving techniques is essential for keeping your workflow quick and free of interruptions. First, find the greatest common factor (GCF). This is the largest factor that all numbers share.

So, the GCF of 18 and 30 is six. Divide either number by the GCF. Multiply the answer by the remaining number. For instance, you could use 18 divided by six.

This will yield three, which you would multiply by 30 to get 90.

## Keep These Math Tricks in Mind

The math tricks in this guide will ensure you overcome issues you would’ve otherwise struggled with. Whether you learn math as part of your job or curriculum, you can take your performance to the next level.

Looking for other useful lifestyle information that can help you out in the future? Our blog has plenty of articles like this one. Be sure to check them out today!

This article is published by NYTech in collaboration with Syndication Cloud.

Please ensure that your password is at least 8 characters and contains each of the following:

- a special character: @$#!%*?&

## IMAGES

## VIDEO

## COMMENTS

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

Get step-by-step solutions to your math problems Try Math Solver Type a math problem Solve Quadratic equation x2 − 4x − 5 = 0 Trigonometry 4sinθcosθ = 2sinθ Linear equation y = 3x +4 Arithmetic 699 ∗533 Matrix [ 2 5 3 4][ 2 −1 0 1 3 5] Simultaneous equation { 8x + 2y = 46 7x + 3y = 47 Differentiation dxd (x −5)(3x2 −2) Integration ∫ 01 xe−x2dx

Symbolab is the best step by step calculator for a wide range of math problems, from basic arithmetic to advanced calculus and linear algebra. It shows you the solution, graph, detailed steps and explanations for each problem. Is there a step by step calculator for physics?

Symbolab, Making Math Simpler. Word Problems. Provide step-by-step solutions to math word problems. Graphing. Plot and analyze functions and equations with detailed steps. Geometry. Solve geometry problems, proofs, and draw geometric shapes. Math Help Tailored For You.

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.

Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

Math Help Online | Take a Test Prep Course | Get Tutoring The Smart Way to Conquer Math Don't let math hold you back. Our complete math courses will help you conquer math and pursue your dreams. Select your course below! Test prep AccuPlacer ALEKS ASVAB more... K12 Pre-Algebra Algebra 1 Geometry more... College

Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.

Early math review Learn early elementary math—counting, shapes, basic addition and subtraction, and more.

Free help with your math—check your answers, quiz yourself, explore topics and more. Wolfram|Alpha Website Use the Wolfram|Alpha website for free to check answers, plot equations, balance chemical equations, visualize results, review interesting facts on a subject area and more. Get started » Math Input on the Wolfram|Alpha Website

Get math help fast and online with more than one hundred instant and even step-by-step math solvers and calculators designed to help you solve your math problems and understand the concepts behind them! Search Our Math Help DataBase Fraction Calculator Derivative Calculator Equation Solver Factoring Calculator Square root calculator

The Math Calculator will evaluate your problem down to a final solution. You can also add, subtraction, multiply, and divide and complete any arithmetic you need. Step 2: Click the blue arrow to submit and see your result! Math Calculator from Mathway will evaluate various math problems from basic arithmetic to advanced trigonometric expressions.

Enter your problem Solve Get accurate solutions and step-by-step explanations for algebra and other math problems with the free GeoGebra Math Solver. Enhance your problem-solving skills while learning how to solve equations on your own. Try it now!

The free lessons on this math website emphasize the practicalities rather than the technicalities, demonstrating dependably helpful techniques, warning of likely "trick" test questions, and pointing out common student mistakes. MathHelp.com Need a custom math course? K12 | College | Test Prep How much do these lessons cost?

Solve - DoYourMath.com Your math problems are about to be solved! Math explained instantly anytime, anywhere! Available on your smartphone, tablet, laptop, or desktop PC. Try Us for Free: Get free access to math solver No download needed Your privacy matters. We never share your information with anyone. Solve Simplify Factor Expand Graph GCF LCM

Use our AI-powered math solver to learn math & physics step-by-step Type a math problem or question Go! Math mode Text mode . ( ) / ÷ 2 √ √ ∞ e π ln log log lim d/dx D x ∫ ∫ | | θ = > < >= <= sin cos tan cot sec csc

The Algebra 1 course, often taught in the 9th grade, covers Linear equations, inequalities, functions, and graphs; Systems of equations and inequalities; Extension of the concept of a function; Exponential models; and Quadratic equations, functions, and graphs. Khan Academy's Algebra 1 course is built to deliver a comprehensive, illuminating, engaging, and Common Core aligned experience!

The step-by-step explanations help me check my kids' homework for accuracy and the app clarifies concepts and improves their independent problem-solving abilities. Albert G., parent. I used to hire tutors that were over $100/hour but they often didn't teach in a way that resonated with my kids.

How to solve your equation To solve your equation using the Equation Solver, type in your equation like x+4=5. The solver will then show you the steps to help you learn how to solve it on your own. Solving Equations Video Lessons Solving Simple Equations Need more problem types? Try MathPapa Algebra Calculator Show Keypad

Our math problem solver that lets you input a wide variety of math math problems and it will provide a step by step answer. This math solver excels at math word problems as well as a wide range of math subjects. Basic Math Math Word Problems Pre-Algebra Algebra Geometry Graphing Trigonometry Precalculus Calculus Statistics Finite Math

Mathnasium was established in 2002 and now operates nearly 1,000 Learning Centers nationwide, providing the best personalized math tutoring nearby. Larry, a teacher, a curriculum consultant, and Mathnasium's expert on the team, spent years refining math teaching methods. We have designed fun and engaging techniques to help children understand ...

Mathnasium Center in La Quinta, is an outstanding place for learning math. Ron pays great attention to every student and parent. He is patient and supportive, making everyone feel welcome and confident. The center offers excellent resources, and with instructors' help, students really enjoy and succeed in math.

Symbolab is the best calculator for solving a wide range of word problems, including age problems, distance problems, cost problems, investments problems, number problems, and percent problems. Show more Why users love our Word Problems Calculator High School Math Solutions - Inequalities Calculator, Exponential Inequalities

It is an enhanced version of AI Chat that provides more knowledge, fewer errors, improved reasoning skills, better verbal fluidity, and an overall superior performance. Due to the larger AI model, Genius Mode is only available via subscription to DeepAI Pro. However, the added benefits often make it a worthwhile investment.

Seven ways to help your kids with math homework. May 12, 2017. The simple reason a viral math equation stumped the internet. Aug 29, 2022. Think you're bad at math? You may suffer from 'math trauma'

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.

Regardless of your level of enthusiasm, there are key math tips that can help you navigate difficult problems more fluidly. Let's explore some of the most notable math tricks to keep in mind. 1.

Free graphing calculator instantly graphs your math problems.