It can be known as: Multiply, Divide, Add, and Subtract...and more.
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An algebraic expression is a collection of terms but does not include an equality sign.
A term often used is "evaluate".
Take the value of each variable in the expression and replace the variable by its value. Then do the math!
The evaluate a algebraic math expression you first must substitute a number for each variable. Then you must perform the operation in the correct order.
A polynomial is always going to be an algebraic expression, but an algebraic expression doesn't always have to be a polynomial. An algebraic expression is an expression with a variable in it, and a polynomial is an expression with multiple terms with variables in it.