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ALEGBRA SUMMARY
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SUMMARY ABOUT ALGEBRA LESSON
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Voorbeeld van de inhoud
ALGEBRAIn algebra, symbols are used, and operators are used to connect the symbols to one another. It
is more than just a mathematical idea. it is a skill that we all utilize on a regular basis without
even being aware of it. Understanding algebra as a concept is more crucial than correctly
solving equations since it is applicable to all other mathematical courses you will learn in the
future or have already studied.
a subfield of mathematics that supports the description of circumstances or issues using
mathematical expressions. To create a meaningful mathematical expression, it takes variables
like x, y, and z together with mathematical operations like addition, subtraction, multiplication,
and division. Algebra is used in all areas of mathematics, including trigonometry, calculus, and
coordinate geometry. 2x + 4 = 8 is a straightforward algebraic expression.
The above algebraic expressions are made up of variables, operators, and constants. Here the
numbers 4 and 28 are constants, x is the variable, and the arithmetic operation of addition is
performed.
WHAT ARE THE BRANCHES OF ALGEBRA?
Based on the use and the complexity of the expressions, algebra can be classified into various
branches that are listed below:
Pre-algebra
Elementary Algebra
Abstract Algebra
, Universal Algebra
Pre-algebra
Mathematical expressions can be created using the fundamental methods for
representing the unknown values as variables. It facilitates the mathematical algebraic
expression of real-world situations. Pre-algebra includes creating a mathematical
expression for the provided problem statement.
Elementary Algebra
Elementary algebra deals with solving the algebraic expressions for a viable answer. In
elementary algebra, simple variables like x, y, are represented in the form of an equation.
Based on the degree of the variable, the equations are called linear equations, quadratic
equations, polynomials. Linear equations are of the form, ax + b = c, ax + by + c = 0, ax + by + cz
+ d = 0. Elementary algebra based on the degree of the variables, branches out into quadratic
equations and polynomials. A general form of representation of a quadratic equation is ax 2 + bx
+ c = 0, and for a polynomial equation, it is axn + bxn-1+ cxn-2+ .....k = 0.
Abstract Algebra
Abstract algebra deals with the use of abstract concepts like groups, rings, vectors rather than
simple mathematical number systems. Rings are a simple level of abstraction found by writing
the addition and multiplication properties together. Group theory and ring theory are two
important concepts of abstract algebra. Abstract algebra finds numerous applications in
computer sciences, physics, astronomy, and uses vector spaces to represent quantities.
Universal Algebra
All the other mathematical forms involving trigonometry, calculus, coordinate
geometry involving algebraic expressions can be accounted as universal algebra. Across these
topics, universal algebra studies mathematical expressions and does not involve the study of
models of algebra. All the other branches of algebra can be considered as the subset of
universal algebra. Any of the real-life problems can be classified into one of the branches of
mathematics and can be solved using abstract algebra.
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