Definition of «algebraic»

The term algebraic refers to a branch of mathematics that deals with equations, expressions and operations involving symbols or letters representing numbers or other values. It is concerned with solving for unknowns using mathematical rules and formulas. Algebraic problems often involve manipulating variables in order to find their value, and the solutions are expressed as equations or relationships between known and unknown quantities. The term algebraic can also be used more broadly to describe anything that follows a logical or systematic pattern of development.

Usage examples

  1. The algebraic equation, 2x + 5 = 13, can be solved by isolating the variable x.
  2. In algebraic geometry, the study of algebraic varieties involves utilizing algebraic methods to understand the geometric properties of these objects.
  3. The algebraic expression, 3a^2 - 2b + 7c, represents a polynomial with three terms.
  4. To simplify an algebraic fraction, such as (3x^2 + 5x) / (2x), you can cancel out common factors in the numerator and denominator.
  5. Algebraic manipulation techniques, such as factoring, expanding, and combining like terms, are frequently used to solve algebraic equations and simplify expressions.

Sentences with «algebraic»

  • In this activity, students will combine like terms of algebraic expressions as they tap into their creative side! (tes.com)
  • Typical topics include exponents and scientific notation; prime numbers; factoring; combining like terms; substituting values for variables; simplification of algebraic expressions; and calculating rate, distance, time, and mass. (thoughtco.com)
  • Not only that, math magic creates a new context for algebraic reasoning as students go beyond «What's the answer?» (educationworld.com)
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