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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.
Both use numbers and variables; however it is all based on the arrangement. So let's take look at both to determine their use and relationship. An expression is a combination of numbers, variables, and symbols to be calculated. An equation contains expressions that are separated by an equals sign. A further look at the mathematical expression can be explained with numbers and variables such as: 7x + y - 4.