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QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.
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Basic Math Solver offers you solving online fraction problems, metric conversions, power and radical problems. You can find area and volume of rectangles, circles, triangles, trapezoids, boxes, cylinders, cones, pyramids, spheres. You can simplify and evaluate expressions, factor/multiply polynomials, combine expressions.
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- \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{Bob's\:age\:is\:twice\:that\:of\:Barry's.\:Five\:years\:ago,\:Bob\:was\:three\:times\:older\:than\:Barry.\:Find\:the\:age\:of\:both.}
- \mathrm{Two\:men\:who\:are\:traveling\:in\:opposite\:directions\:at\:the\:rate\:of\:18\:and\:22\:mph\:respectively\:started\:at\:the\:same\:time\:at\:the\:same\:place.\:In\:how\:many\:hours\:will\:they\:be\:250\:apart?}
- \mathrm{If\:2\:tacos\:and\:3\:drinks\:cost\:12\:and\:3\:tacos\:and\:2\:drinks\:cost\:13\:how\:much\:does\:a\:taco\:cost?}
Frequently Asked Questions (FAQ)
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.
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Math Problem Solver - Free
Below is a math problem solver that lets you input a wide variety of math problems and it will provide an answer for free or you can subscribe to see the step by step answer. This calculator can also help solve simplified math word problems. Math homework and studying just got a lot easier. Tap the answer to sign up and see the step by step solution!

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Problem Solver Subjects
This online math calculator can answer a number of problems in a wide range of subjects, not just strictly math. Below is a list of the available subjects to choose from. You can switch the calculator subject by clicking or tapping the menu in the upper left hand corner of the calculator.
- 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
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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.
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- Absolute Value Expressions and Equations
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Trigonometry Solutions
Below are examples of Trigonometry math problems that can be solved.
- Algebra Concepts and Expressions Review
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- Verifying Trigonometric Identities
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- Exponential and Logarithmic Functions
- Vector Arithmetic
Precalculus Solutions
Below are examples of Precalculus math problems that can be solved.
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- Limits and an Introduction to Calculus
Calculus Solutions
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- Differential Equations
Statistics Solutions
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- Algebra Review
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Finite Math Solutions
Below are examples of Finite Math problems that can be solved.
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- Systems of Linear Equations
- Mathematics of Finance
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Linear Algebra Solutions
Below are examples of Linear Algebra math problems that can be solved.
- Introduction to Matrices
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Chemistry Solutions
Below are examples of Chemistry problems that can be solved.
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Physics Solutions
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Geometry Graphing Solutions
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Mathway’s Free Math Solver
I must say that there is no alternative to paying attention in class, writing down notes, studying at home, and doing a lot of independent practice using pencil and paper. However, there are times when a teacher or tutor is not available to help you solve a math problem. This can be frustrating at times. But, don’t worry. Mathway can be that extra “eye” to help double-check your work. Whether it’s math homework in pre-algebra, algebra, geometry, trigonometry, precalculus, statistics, or calculus, this is the tool for you. Heck, you can even just use it as a regular arithmetic calculator! Moreover, you can also use this as a graphing utility to graph any functions such as linear, quadratic, trigonometric functions, etc. To be honest, I start wondering what this math solver cannot do!
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Note: If you want more help, and therefore, would want to see how Mathway solves the problem step by step, you can click “Tap to view steps…” to redirect you to the developer’s website for a modest subscription fee which in return, I will receive some monetary compensation .
However, if what you need is to simply check if you arrived at the correct answer and not necessarily detailed step-by-step answers, then the widget should be sufficient for you.
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Proportion calculator can find the unknown x in the proportional fraction Evaluate two fractions by using this proportion solver.
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Monthly payment = P i (1+i) ^ n / (1+i) ^ n - 1 P - the principal, or the initial borrowed amount i - interest rate per repayment period n - number of payments over the life of the mortgage
- Trigonometric - sin(x), cos(x), tan(x), cot(x), sec(x), csc(x)
- Hyperbolic Trigonometric - sinh(x), cosh(x), tanh(x), coth(x), sech(x), csch(x)
- Inverse Trigonometric - asin(x), acos(x), atan(x), acot(x), asec(x), acsc(x)
- Addition : " + ", e.g. 5+x
- Subtraction: " - ", e.g. 2-x
- Multiplication: " * ", e.g. 2*x
- Division: " / ", e.g. 1/x
- Numeric Fractions: Rational(a,b) = a/b
- Exponential : e = exp(1), e 5 = exp(5)
- Logarithms : ln(x) = log(x,base = exp(1)), log 10 (x) = log(x,base = 10)
- Rating a number to a power could be achieved via '', e.g. x 2 is interpreted as x 2 , and "sqrt(x)" as √ x
- Complex number are inserted as follows: 1 i = i, 2 i = 2i, Where i = √ -1. Note that we do not need the multiplication sign.
A matrix is an array of numbers , several operations can be performed on matrices.
Adds elements that are in matching positions and the two matrices must be the same size.
Example 1 - Add the following 2×2 dimension matrices :

Subtracts elements that are at matching positions and the two matrices must be the same size.
Example 1 - Subtract the following 2×2 dimension matrices :

For matrix multiplication, the number of rows of the first matrix must be equal to the number of columns of the second matrix.
Example 1 - Multiply the following 2×2 dimension matrices :

Swapping the elements of columns and rows.
Example 1 - Find the transpose of the 2x3 matrix below :

It can be calculated only for square matrix.
Example 1 - For 2X2 matrix :

Just like a reciprocal of a number is called its inverse , similarly the reciprocal of a matrix is the inverse of a matrix.
Example 1 - Find the inverse of the 2x2 matrix below :

Matrix Algebra
A matrix is a rectangular array of numbers, symbols, and expressions arranged in rows and columns.The size of a matrix is defined by the number of rows and columns in it. If a matrix contains m rows and n columns then it is said to be a matric of m x n size.
A matrix with the same number of rows and columns is called a square matrix .
While performing addition or subtraction, add/subtract each element in the first matrix with the corresponding element in the second matrix. Addition and subtraction can be only performed between the matrices of the same size and the resultant matrix is also of the same size .
While Multiplying two matrices the elements of rows in the first matrix are multiplied with the corresponding columns in the second matrix. The first element of the first matrix is multiplied with each element of first column of the second matrix , the summation becomes the first entry of the resultant column, in the same way, we can find the product of two matrices.
Multiplication can be performed between the two matrices only if the no. of columns in the first matrix is equal to the no. of rows in the second matrix. If the dimensions of the first matrix are AxB and the dimensions of the second matrix are BxC then the resultant matrix would be AxC.
An identity matrix is a diagonal matrix in which all the diagonal elements are 1 and all the remaining elements are 0.
Calculus is a branch of mathematics that studies continuous change,it is basically used to study or work with very small quantities. Calculus is used to gain more understanding of the nature of space, time and motion.
The two main branches of Calculus are:
The equation representing the relationship between the quantity that continuously varying concerning in another quantity.
Eg. f(x)=dy/dx is a differential equation.
Order of differential equation: Order of the highest order derivative present in the differential equation.
Degree of Differential equation: The power of highest order derivative is the degree of differential equation.
- Integral Calculus : Integral calculus integrates small pieces to find the whole.Integrals are of two types: 1. Definite Integral 2. Indefinite Integral. Integration is the process of finding the antiderivative. Eg. x n dx = x n+1 /n+1 + c C is called the integration constant.
Linear System
A Linear system is nothing but the collection of linear equations involving the same set of variables. The solution of a linear system is the values of variables that satisfy all the linear equations. You have to enter the coefficients of variables in a matrix and constants in another matrix, our calculator will deliver the results you were looking for.
All the linear equations in a linear system have same set of variables of order one and each equation forms a straight line on the graphs.
Quadratic Equations
Any equation with degree 2 is a quadratic equation . A quadratic equation is in the form of ax 2 +bx+c=0 , the solution of a quadratic equation is given by, x = ( -b ± √ b 2 -4ac ) / 2a .
These solutions can be given in the form of real numbers or complex numbers.
Visualization
Visualization is used to represent the given equations on the graphs or 2d plane.A linear equation always forms a straight line on the graph whereas a quadratic equation with real solutions forms a curve.
Simplification
To solve an equation it is important to simplify it to write it in the simplest form.Different methods for simplifying an expression are:
- Rationalize
- Combine like terms
- Clear out fractions by multiplying,etc.

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Equivalent math meaning
In math, equivalent is different from equal. Equal means same in all aspects, whereas equivalent means similar but not identical. For example, 2 is said to be equal to 2 but equivalent to 1 + 1.

Equivalent expressions

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Equivalent Definition (Illustrated Mathematics Dictionary)

Equivalent definitions of mathematical structures

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