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equivalent expression
If we are talking about the algebraic expressions, then an expression can be simplified or be evaluated for specific values of its variables, while an equation need to be solved, in other words to find the values of the variables that make the equation a true statement. If we are solving an equation, then we can work in the same way that we can simplify an expression (since an equation is a statement that states that two expressions are equal), or factoring an expression.
If a polynomial expression is derived from a word problem it has the same meaning as the word problem. Polynomial expressions that represent scientific laws have the specific meaning of that law.
Basically the same way that you evaluate other types of expressions with variables: * You replace the variables by the value assigned to the variables. * Then you do the specified calculations.
It depend entirely on the expressions you are comparing.