Algebraic Expressions with Examples

Algebraic Expressions consist of constants and variables. We can add, subtract, multiply, and divide these expressions. An example of an algebraic expression is 5x + 6. The variables might also have values like x2, x3, xn, xy, x2y, etc.

Polynomials is also a term used for algebraic expressions. An equation that contains coefficients, non-negative integer exponents of variables, and variables is called a polynomial. For example, 5x3 + 4x2 + 7x + 2 = 0.

Algebraic Expressions

Algebra in Math: Definition, Branches, Basics and Examples

Algebra is the branch of mathematics that deals with symbols and the rules for manipulating these symbols. It is a unifying thread of almost all of mathematics and includes everything from solving elementary equations to studying abstractions such as groups, rings, and fields.

It helps represent problems or situations in the form of mathematical expressions. It is different from Arithmetic as Arithmetic deals with specific numbers and simple operations such as addition and subtraction. Algebra, on the other hand, introduces more complex operations and includes the use of variables, equations, and functions.

Algebra in Mathematics

Table of Content

  • What is Algebra
  • Algebra Branches
  • Algebraic Expressions with Examples
  • Algebraic Equations
    • Linear Equation
    • Polynomial
    • Sequence and Series
    • Set Theory
    • Vectors
    • Relations and Functions
    • Matrices and Determinants
  • Exponential & Logarithmic functions
  • Algebra Formula
  • Algebraic Operations
  • Algebraic Laws
  • Algebraic Identities

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Algebraic Expressions with Examples

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