Final answer:
Like terms are terms with the same variables and powers, coefficient is the numerical factor of a term, constant is a term with no variables, and simplest form is when an expression is fully simplified.
Step-by-step explanation:
Like terms are terms in an algebraic expression that have the same variables raised to the same powers. They can be combined using addition or subtraction. For example, in the expression 3x + 2y - 5x, the terms 3x and -5x are like terms because they both have the variable x raised to the power of 1.
The coefficient of a term involving variables is the numerical factor that multiplies the variables. For example, in the term 3x, the coefficient is 3.
A constant is a term that does not contain any variables. It is a number that has a fixed value. For example, in the expression 5x + 2y - 7, the term -7 is a constant.
The simplest form of an expression is when all like terms have been combined and simplified as much as possible.