Basics of algebra

Algebra is a division of mathematics designed to help solve certain types of problems quicker and easier. Algebra is based on the concept of unknown values called variables, unlike arithmetic which is based entirely on known number values.

This lesson introduces an important algebraic concept known as the Equation. The idea is that an equation represents a scale such as the one shown on the right. Instead of keeping the scale balanced with weights, numbers, or constants are used. These numbers are called constants because they constantly have the same value. For example the number 48 always represents 48 units or 48 multiplied by an unknown number. It never represents another value.

Examples

2x=0->x=0 because 2 never can be siro

2x-2x=0->0.x=0->x belongs to R

Algebra also refers to the algebraic groups accordingly with the algebraic rules defind on a set o mathematical objects known as algebraic elements and a binary operation related to the rule between those elements in such a way that four conditions called group axioms are satisfied, namely closure, associativity, identity and invertibility

See : Group (mathematics) From Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/Group_(mathematics)

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