Elementary algebra

Elementary algebra encompasses some of the basic concepts of algebra, one of the main branches of mathematics. It is typically taught to high school students and builds on their understanding of arithmetic. Whereas arithmetic deals with specified numbers, algebra introduces quantities without fixed values, known as variables. This use of variables entails a use of algebraic notation and an understanding of the general rules of the operators introduced in arithmetic. Unlike abstract algebra, elementary algebra is not concerned with algebraic structures outside the realm of real and complex numbers.

The use of variables to denote quantities allows general relationships between quantities to be formally and concisely expressed, and thus enables solving a broader scope of problems. Many quantitative relationships in science and mathematics are expressed as algebraic equations.

Algebraic notation describes how algebra is written. It follows certain rules and conventions, and has its own terminology. For example, the expression ${\displaystyle 3x^{2}-2xy+c}$ has the following components:

1 : Exponent (power), 2 : Coefficient, 3 : term, 4 : operator, 5 : constant, ${\displaystyle x,y}$ : variables

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