Algebraic

Pronunciation: /ˌæl dʒəˈbreɪ ɪk/ ?

Algebraic means having to do with algebra, or using the operations of addition, subtraction, multiplication, division and exponentiation.^[1]

• An algebraic expression is an expression that uses the operations of addition, subtraction, multiplication, division and exponentiation.
• An algebraic equation equates algebraic expressions.
• An algebraic function is a function whose rule is an algebraic expression.
• An algebraic identity is an algebraic equation that is true for all values of the variables, such as (x + y)(x – y) = x² - y².
• An algebraic number is a number that is a root of a polynomial with rational coefficients.
• An algebraic operation is one of the following operations: addition, subtraction, multiplication, division and exponentiation.
• An algebraic representation is a representation that uses algebra such as a coordinate graph.

References

1. algebraic. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=algebraic&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.

More Information

• algebraically. Dictionary.com. Random House, Inc. 2009-03-12. http://dictionary.reference.com/browse/algebraically.

Cite this article as:

Algebraic. 2010-05-21. All Math Words Encyclopedia. Life is a Story Problem.org. http://www.allmathwords.org/en/a/algebraic.html.

Translations

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Image Credits

• All images and manipulatives are by David McAdams unless otherwise stated. All images by David McAdams are Copyright © Life is a Story Problem.org and are licensed under the Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Revision History

2009-12-24: Added "References" (McAdams, David.)
2008-06-11: Added paragraph on algebraic representation (McAdams, David.)
2008-02-03: Repaired accidental damage to this file (McAdams, David.)
2007-07-12: Initial version (McAdams, David.)