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Definition of algebraic expression. : an expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.
An Expression is a mathematical phrase that combines numbers and/or variables using mathematical operations. An expression is a representation of a value; for example, variables and/or numerals that appear alone or in combination with operators are expressions. 1  5 + 6 - (3 + 2)/18.  a + b - c.