An unknown variable
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The algebraic expression "twice a number z" can be represented as 2z. In this expression, the variable z represents the unknown number, and multiplying it by 2 gives you twice that number. This expression can be used in algebraic equations and formulas to represent scenarios where a number needs to be doubled.
A polynomial is always going to be an algebraic expression, but an algebraic expression doesn't always have to be a polynomial. In another polynomial is a subset of algebraic expression.
A rational algebraic expression is the ratio of two algebraic expressions. That is, one algebraic expression divided by another. It is important that the domain is defined in such a way the the rational expression does not involve division by 0.
If an algebraic expression is equivalent to another algebraic expression then it is an equation.
To find the value of an algebraic expression is to evaluate it.