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algebra

American  
[al-juh-bruh] / ˈæl dʒə brə /

noun

  1. the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations.

  2. any of several algebraic systems, especially a ring in which elements can be multiplied by real or complex numbers linear algebra as well as by other elements of the ring.

  3. any special system of notation adapted to the study of a special system of relationship.

    algebra of classes.


algebra British  
/ ˌældʒɪˈbreɪɪst, ˈældʒɪbrə /

noun

  1. a branch of mathematics in which arithmetical operations and relationships are generalized by using alphabetic symbols to represent unknown numbers or members of specified sets of numbers

  2. the branch of mathematics dealing with more abstract formal structures, such as sets, groups, etc

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

algebra Scientific  
/ ăljə-brə /
  1. A branch of mathematics in which symbols, usually letters of the alphabet, represent numbers or quantities and express general relationships that hold for all members of a specified set.


Other Word Forms

  • algebraist noun
  • prealgebra noun

Etymology

Origin of algebra

1535–45; < Medieval Latin < Arabic al-jabr literally, restoration

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

As a 15-year-old in algebra class, he wrote the song “Kryptonite,” drumming out the beat on his desk.

From Los Angeles Times • Feb. 7, 2026

Roughly one in eight freshmen lack rudimentary high-school math skills, defined as geometry, algebra and algebra 2.

From The Wall Street Journal • Nov. 30, 2025

One key operation in a deep neural network involves the use of linear algebra to perform matrix multiplication, which transforms data as it is passed from layer to layer.

From Science Daily • Dec. 2, 2024

Witnesses said the suspect left an algebra lesson on Wednesday morning only to return later and try to re-enter the classroom.

From BBC • Sep. 5, 2024

No longer were the Western art of geometry and the Eastern art of algebra separate domains.

From "Zero: The Biography of a Dangerous Idea" by Charles Seife