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introduction to algebra

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Uploaded on
November 12, 2021
Number of pages
9
Written in
2021/2022
Type
Lecture notes
Professor(s)
Azhar sheik
Contains
All classes

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Algebra

What is Algebra?
Algebra is a branch of mathematics that deals with symbols and the
arithmetic operations across these symbols. These symbols do not have
any fixed values and are called variables. In our real-life problems, we
often see certain values that keep on changing. But there is a constant
need to represent these changing values. Here in algebra, these values
are often represented with symbols such as x, y, z, p, or q, and these
symbols are called variables. Further, these symbols are manipulated
through various arithmetic operations of addition, subtraction,

, 1


multiplication, and division, with an objective to find the values.




Branches of Algebra
The complexity of algebra is simplified by the use of numerous algebraic expressions.
Based on the use and the complexity of the expressions, algebra can be classified into
various branches that are listed below:
1. Pre-algebra
2. Elementary Algebra
3. Abstract Algebra
4. Universal Algebra


Pre-algebra

The basic ways of presenting the unknown values as variables help to create
mathematical expressions. It helps in transforming real-life problems into an algebraic
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