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Math Problem Solver by TutorBin is any student’s best friend when it comes to solving Algebra problems. This step by step math problem solver is your solution to solving some of the most comprehensive math questions across algebra, calculus, linear systems, quadratic equations, etc. By providing all the necessary tools, we are one of the top problem solving resources available for students, parents, and teachers.
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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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Solving methods for math problems.
SnapXam's AI-powered math solver allows you to solve complex math problems, with detailed step-by-step explanations. Some math problems can be solved using multiple methods (including your teacher's method ;) ).
For these problems, we allow you to choose your preferred solving method. We understand that solving a math problem using the right method is almost as important as getting the answer right. This is especially important when learning new concepts, as the same answer to a problem can be arrived by using different methods or techniques.
In this article, we present the different solving methods that our math solver currently support.
Supported solving methods for algebra problems include: Product of Binomials with Common Term, FOIL method.
1. Product of two binomials:
- Step-by-step Solution applying FOIL method
- Step-by-step Solution applying product of binomials with common term
2. Product of two binomials:
Trigonometric Identities
Supported solving methods for trigonometric identities include: Prove from LHS, Prove from RHS, Express everything into Sine and Cosine.
1. Prove the identity:
- Step-by-step Solution proving from LHS
- Step-by-step Solution converting both sides into sine and cosine
2. Prove the identity:
- Step-by-step Solution proving from RHS
Supported solving methods for limits include: Limits by factoring, Limits by rationalization, Limits by L'Hôpital's rule.
1. Find the following limit:
- Step-by-step Solution using rationalization
- Step-by-step Solution using L'Hôpital's rule
2. Find the following limit:
- Step-by-step Solution using factorization
Differential Calculus
Supported solving methods for derivatives include: Basic differentiation rules, Logarithmic Differentiation. Logarithmic Differentiation is especially useful when the function we want to differentiate is kind of complex since we can simplify it beforehand using logarithmic properties.
1. Find the derivative:
- Step-by-step Solution using basic differentiation rules
- Step-by-step Solution using logarithmic differentiation
2. Find the derivative:
3. Find the derivative:
- Step-by-step Solution using the definition of derivative
Integral Calculus
Supported solving methods for integrals include: Integration by u-substitution, Integration by Parts, Tabular Integration, Integration by Partial Fraction Expansion, Integration by Trigonometric Substitution, Weierstrass Substitution.
1. Solve the following integral:
- Step-by-step Solution using u-substitution
- Step-by-step Solution using integration by parts
- Step-by-step Solution using partial fraction expansion
- Step-by-step Solution using trigonometric substitution
2. Solve the following integral:
- Step-by-step Solution using Weierstrass Substitution
3. Solve the following integral:
- Step-by-step Solution using tabular integration
Do you have a solving method in mind that you would like us to add?
We constantly add more solving methods for math problems. You can tell us about it here .
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How To Use Python To Solve Math Problems Easily and Quickly
The pure brute-force method to cracking project euler.
Sometimes it can be nice to just unplug your brain and let computers do all the heavy lifting. In fact, knowing python (or really any programming language) is like having an easily developed superpower.
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How to Solve Math Problems
Last Updated: May 23, 2022 References Approved
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. wikiHow marks an article as reader-approved once it receives enough positive feedback. In this case, 85% of readers who voted found the article helpful, earning it our reader-approved status. This article has been viewed 550,551 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. [7] X Research source
- Draw a graph or chart. [8] X Research source
- Arrange the components of the problem on a line. [9] X Research source
- Draw simple shapes to represent more complex features of the problem. [10] X Research source
Developing a Plan
Solving the Problem
Expert Q&A Did you know you can get expert answers for this article? Unlock expert answers by supporting wikiHow
Support wikiHow by unlocking this expert answer.
- 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. ⧼thumbs_response⧽ Helpful 1 Not Helpful 0
- Keep practicing sums and diagrams. Go through the concept your class notes regularly. Write down your understanding of the methods and utilize it. ⧼thumbs_response⧽ Helpful 0 Not Helpful 0
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- ↑ http://floridarti.usf.edu/resources/format/pdf/Classroom%20Cognitive%20and%20Metacognitive%20Strategies%20for%20Teachers_Revised_SR_09.08.10.pdf
- ↑ 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
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How to Solve Algebra Problems Step-By-Step
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Solving Algebra word problems is useful in helping you to solve earthly problems. While the 5 steps of Algebra problem solving are listed below, the following will help you learn how to first identify the problem.
- Identify the problem.
- Identify what you know.
- Make a plan.
- Carry out the plan.
- Verify that the answer makes sense.
Identify the Problem
Back away from the calculator ; use your brain first. Your mind analyzes, plans, and guides in the labyrinthine quest for the solution. Think of the calculator as merely a tool that makes the journey easier. After all, you wouldn’t want a surgeon to crack your ribs and perform a heart transplant without first identifying the source of your chest pains.
The steps of identifying the problem are:
- Express the problem question or statement.
- Identify the unit of the final answer.
Express the Problem Question or Statement
In Algebra word problems, the problem is expressed as either a question or a statement.
- How many trees will John have to plant?
- How many televisions will Sara have to sell to earn $50,000?
- Find the number of trees John will have to plant.
- Solve for the number of televisions Sara will have to sell to earn $50,000.
Identify the Unit of the Final Answer
What will the answer look like? Now that you understand the word problem’s purpose, determine the answer’s unit. For example, will the answer be in miles, feet, ounces, pesos, dollars, the number of trees, or a number of televisions?
Algebra Word Problem
Javier is making brownies to serve at the family picnic. If the recipe calls for 2 ½ cups of cocoa to serve 4 people, how many cups will he need if 60 people attend the picnic?
- Identify the problem: How many cups will Javier need if 60 people attend the picnic?
- Identify the unit of the final answer: Cups
In the market for computer batteries, the intersection of the supply and demand functions determines the price, p dollars , and the quantity, q , of goods sold. Supply function: 80 q - p = 0 Demand function: 4 q + p = 300 Determine the price and quantity of computer batteries sold when these functions intersect.
- Identify the problem: How much will the batteries cost and how much will be sold when supply and demand functions meet?
- Identify the unit of the final answer: The quantity, or q , will be given in batteries. The price, or p , will be given in dollars.
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How to solve math problems step-by-step? To solve math problems step-by-step start by reading the problem carefully and understand what you are being asked to find. Next, identify the relevant information, define the variables, and plan a strategy for solving the problem.
Welcome to Quickmath Solvers! Solve Simplify Factor Expand Graph GCF LCM New Example Help Tutorial Solve an equation, inequality or a system. Example: 2x-1=y,2y+3=x What can QuickMath do? QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.
Microsoft Math Solver - Math Problem Solver & Calculator Get step-by-step solutions to your math problems Try Math Solver Type a math problem Solve Quadratic equation x2 − 4x − 5 = 0 Trigonometry 4sinθ cosθ = 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
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Solve - Step-by-Step Math Problem Solver Welcome to Quickmath Solvers! Solve Simplify Factor Expand Graph GCF LCM New Example Help Tutorial Solve an equation, inequality or a system. Example: 2x-1=y,2y+3=x
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SnapXam's AI-powered math solver allows you to solve complex math problems, with detailed step-by-step explanations. Some math problems can be solved using multiple methods (including your teacher's method ;) ). For these problems, we allow you to choose your preferred solving method. We understand that solving a math problem using the right ...
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3. Work on an easier problem. If there is an easier problem available that is similar to the one you are trying to solve, work on the easier problem first. Solving an easier problem that requires some of the same steps and formulas will help you to tackle the more difficult problem. [16] [17] 4.
While the 5 steps of Algebra problem solving are listed below, the following will help you learn how to first identify the problem. Identify the problem. Identify what you know. Make a plan. Carry out the plan. Verify that the answer makes sense. Identify the Problem Back away from the calculator; use your brain first.
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