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• To solve an algebraic expression, simplify the expression by combining like terms, isolate the variable on one side of the equation by using inverse operations. Then, solve the equation by finding the value of the variable that makes the equation true.
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• The basics of algebra are the commutative, associative, and distributive laws.
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• The basic rules of algebra are the commutative, associative, and distributive laws.
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• The golden rule of algebra states Do unto one side of the equation what you do to others. Meaning, whatever operation is being used on one side of equation, the same will be used on the other side too.
• What are the 5 basic laws of algebra?
• The basic laws of algebra are the Commutative Law For Addition, Commutative Law For Multiplication, Associative Law For Addition, Associative Law For Multiplication, and the Distributive Law.

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Algebra Calculator

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

Solved example of exponent properties

Simplify $\left(- pi_1\right)^3$ by taking the minus sign ($-$) out of the power

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Algebra Calculator with Steps free | Algebra Solver

Algebra calculator.

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The algebra calculator that we present here is a great tool to solve a large number of algebraic problems. This algebra calculator allows you to find the step-by-step solution of: first, second and third degree equations, absolute value equations and systems of equations, mathematical inequalities. With our algebraic calculator you will also be able to simplify and factor polynomials, solve equations with more than one variable, solve trigonometric equations, perform all kinds of operations with polynomials and evaluate mathematical expressions.

This algebraic calculator will be your ideal companion to study and understand algebra perfectly.

In order for you to get the most out of this calculator, we recommend that you read the instructions just below.

Table of Contents

• 1 Algebra Calculator
• 2.1 Input user interface
• 2.2 Output interface
• 3 Supported operations
• 4 The Benefits of Using an Online Algebra Calculator in the Classroom

Instructions for using the Online Algebra Calculator

The algebra calculator has a very intuitive and friendly interface which makes it very easy to use. To explain in a simple way how to use it, we will first explain the elements of the input interface, through which you can enter the mathematical expressions you want to solve. Then we will explain the output interface, through which the calculator displays the solution.

Input user interface

The input user interface is subdivided into 4 parts according to their functionality, which are shown in figure 1.

• Input field: This is where you write the algrebraic expression you want to solve. You can do this using the keyboard of your device or the virtual keyboard of the calculator itself. You should use only the functions and operators that are presented in Table 1.
• Input to mathematical notation: In this box, the expression entered in the input field is rewritten using mathematical notation.
• Choose between degrees or radians
• Enable or disable trigonometric functions on the virtual keyboard
• Choose the variable for which you want to solve the entered equation.
• Virtual keyboard: In it are all the functions, constants and functions that you can use in the algebra calculator. Pressing the “Trig Frunctions” button on the tool bar displays the buttons for all trigonometric and hyperbolic functions.

Output interface

The solution to the entered mathematical expression is displayed in the output interface. Depending on the nature of the mathematical problem, options may be generated to explore other variants of the solution. For example, if you’ve entered a quadratic equation, you’ll be able to choose a different solving method, or if you’ve entered an equation with more than one variable, you’ll be able to select which other variable you want to solve the equation for.

Table 1: Valid functions and symbols

Supported operations

The online Algebra Calculator is a useful tool for performing a wide range of mathematical operations. With this calculator, users can solve linear equations, find the roots of quadratic equations, and even solve third and fourth degree equations. It can also be used to factor and simplify algebraic expressions and polynomials, as well as perform operations with polynomials including addition, subtraction, multiplication, and division.

In addition to these features, the Algebra Calculator can also be used to solve systems of equations, perform operations with complex numbers, and work with fractions. It is also capable of solving inequalities, evaluating equations, and calculating equations with fractions and radicals.

The calculator can even handle more advanced operations such as solving logarithmic and exponential equations, as well as trigonometric equations. It can also be used to solve for x and y, and to solve inequalities and equations with absolute value. And for those working on permutation exercises, the calculator can provide assistance there as well.

Overall, the online Algebra Calculator is a versatile tool that can save time and effort when solving a wide range of algebraic problems. Whether you are a student, a teacher, or simply someone looking to brush up on your algebra skills, this calculator can be an invaluable resource.

Here is the list of mathematical operations that you can perform with the online algrebra calculator:

• Solve linear equations
• Finding the roots of quadratic equations
• Solve third degree and fourth degree equations
• Factor and simplify algebraic expressions and/or polynomials
• Perform operations with polynomials (addition, subtraction, multiplication and division of polynomials)
• Solve systems of equations equations
• Perform operations with complex numbers
• Perform operations with fractions
• Solve inequalities
• Evaluate equations
• Calculate equations with fractions
• Calculate equations with radicals
• Solve lagarithmic equations
• Solve exponential equations
• Solve trigonometric equations
• Solve for x
• Solve for yyy
• Solve inequalities and equations with absolute value
• Solve permutation exercises
• Among other…

The Benefits of Using an Online Algebra Calculator in the Classroom

The online Algebra Calculator is a valuable tool for students and teachers in the classroom. This calculator allows users to perform a wide range of algebraic operations and solve equations quickly and accurately, saving time and effort in the process.

One of the main benefits of using the online Algebra Calculator in school is that it can help students to better understand algebraic concepts. By using the calculator to solve equations and perform operations, students can see firsthand how algebra works and how it can be used to solve real-world problems. This can be particularly helpful for students who are struggling to grasp the concepts being taught in class.

The online Algebra Calculator can also be a useful resource for teachers. It can be used to demonstrate algebraic concepts to students, as well as to check the accuracy of students’ work. In addition, teachers can use the calculator to create online quizzes and assignments, allowing students to practice their algebra skills in a convenient, interactive way.

Overall, the use of the online Algebra Calculator in the classroom can be a valuable aid for both students and teachers. By providing a convenient, accurate way to perform algebraic operations and solve equations, the calculator can help to make learning algebra more enjoyable and effective.

Step-by-step Equation Solver

• if your problem doesn't contain an equal sign ("=") you are on the wrong page. Expressions can't be "solved", only simplified. Click on the Expressions menu item.
• if there is only one variable present, you don't have to specify it. If there is more than one, you have to tell the solver which variable to solve for.
• when graphing an equation, make sure that it is in the form y = ...., where the right side contains no other variable than 'x' (i.e. varible 'y' needs to be explicit).
• When solving a system of equations, make sure that they are linear. The default number of equations is 2, but you can specify more than 2 equations, if needed.
• hover the mouse over the question marks for more detailed help.
• if any solution steps are unclear, click on the step to see an explanation.
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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 Do Algebra Word Problems
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