Meaning & Definition of word "Algebraic"

Algebraic

/ælˈdʒɛbræɪk/

adjective:

  • 1. Relating to algebra, which is a branch of mathematics that deals with symbols and rules for manipulating those symbols.
    • Example: The algebraic expression 3x + 2 is a fundamental component of many mathematical problems.
  • 2. Describing equations or formulas that include variables raised to powers, which are typically represented by letters.
    • Example: In this algebraic equation, x squared equals 16 can be solved for the value of x.
  • 3. Characterized by the use of letters to represent numbers in formulas and equations.
    • Example: Algebraic concepts are essential for understanding higher-level mathematics and sciences.
  • 4. Pertaining to or denoting the rules and structures used in algebra.
    • Example: The algebraic structure of the set allows for operations that mirror those of real numbers.
  • 5. Involving the manipulation of symbols according to specified rules.
    • Example: Students learn algebraic manipulation to solve equations and simplify expressions.

Etymology

Derived from the word 'algebra', which originates from the Arabic 'al-jabr', meaning 'reunion of broken parts'.

Common Phrases and Expressions

algebraic expression:

A mathematical phrase that can include numbers, variables, and operators.

algebraic equation:

A statement of equality between two algebraic expressions.

Related Words

algebra:

A branch of mathematics dealing with symbols and the rules for manipulating those symbols.

variable:

A symbol used to represent an unknown quantity in mathematical expressions.

Slang Meanings of algebraic

Meaning: Algebraic expressions made easy.

Example Sentence: Let's make this algebraic problem algebraic!