Algebra Calculator

Use our simple online Algebra calculator to find the solution with step-by-step explanation. You can calculate the most popular algebra problems, such as functions, equations, graphs, logarithmic, algebraic expressions and more. All that is lifetime free.

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How to Use?

How to use Algebra Calculator

1

Step 1

Enter your Algebra problem in the input field.

2

Step 2

Press Enter on the keyboard or on the arrow to the right of the input field.

3

Step 3

In the pop-up window, select needed operation. You can also use the search.

What is Algebra

Algebra is part of mathematics that studies the common properties of actions over different values and the resolution of equations associated with these actions. This is a section of mathematics that can be described as a generalization and expansion of arithmetic; in this section, numbers and other mathematical objects are marked with letters and other symbols, allowing them to record and explore their properties in the most general way.

The word "algebra" is also used in general algebra in the names of various algebraic systems. More broadly, algebra is understood as a section of mathematics, dedicated to the study of operations over elements of set arbitrary nature, summarizing the usual operations of adding and multiplying numbers.

Classification

Algebra as a branch of mathematics traditionally includes the following categories.

  • Elementary algebrathat studies the properties of operations with real numbers. In it, constants and variables are denoted by alphabetic characters. Elementary algebra contains rules for transforming mathematical expressions and equations using these symbols. Usually taught in a school called algebra.
  • General algebrasometimes called modern algebra or abstract algebra, where maximally general algebraic structures, such as groups, rings and fields, are axiomatized and studied.
  • Universal algebrawhich studies properties common to all algebraic structures (considered a subsection of general algebra).
  • Linear algebrain which the properties of vector spaces (including matrices) are studied.
  • Algebraic combinatoricsin which the methods of abstract algebra are used to study questions of combinatorics.

History of Algebra

The term "algebra" is taken from the composition of the Central Asian scientist Al-Khorezmi "A short book on the calculus of al-jabra and al-muqabal" (825 years). The word "al-jabr" mean the operation of transferring the deductible from one part of the equation to another and its literal meaning "make up".

In the 12th century, algebra reached Europe. From this time its rapid development begins. Ways to solve equations 3 and 4 degrees were discovered. Negative and complex numbers have spread. It has been proven that any equation above the 4th degree cannot be solved in an algebraic way.