Final answer:
In the given list, 2x and 10x are like terms, as are 3y and 2y, since they contain the same variables raised to the same power. The number 1 is a constant, and all five are terms, components of an algebraic expression.
Step-by-step explanation:
The question deals with terms in algebra, specifically identifying their nature. Like terms are terms that contain the same variable raised to the same power. In the given list (2x, 1, 3y, 2y, 10x), 2x and 10x are like terms since they both contain the variable x raised to the first power. 3y and 2y are also like terms because they have the variable y to the first power as well. The number 1 is a constant, which is a fixed value. All five items are considered terms because they are the component parts added or subtracted within an algebraic expression. They are not different variables, as 'x' and 'y' represent only two variables, and the number 1 is a constant, not a variable. Since the variables x and y are present, they represent the independent and dependent variables, typically used in linear equations.