Question

How do you identify the variables, coefficients, and constants in the algebraic expression \[ - 6x - xy + 60\]?

Answer 1

Hint: According to the question, we will first learn about the terms related in the questions. We will try to learn about what is algebraic expressions, variables, coefficients, constants, etc. Then, we will try to identify the variables, coefficients, and constants from the given questions.

Complete step-by-step solution:
First, we will talk about the terms given in the question. Algebraic expression is an expression which is formed of coefficients, constants, variables and other different terms. In our question also, there are different variables, coefficients, and constants.
Now, we will learn about variables. Generally, variables are symbols or letters that are assigned to unknown numbers. Basically, in algebra parts, there will be a lot of questions, where we have to use variables to solve questions. Assigning variables to a number makes the question easier to solve.
So, in our question, our variables are \[x\,and\,y\].
Now, we will talk about coefficients. Identifying a coefficient is very easy. Coefficients are the numbers that are multiplied with the variables in a mathematical or algebraic expression.
So, in our question, the coefficient is \[ - 6\].
Now, we will talk about constants. Constants are generally the numbers that are not attached or multiplied with any variable or term. The numbers are called constants because they do not change or their values do not change even if the value of any variable changes. Their value remains the same all the time.
So, in our question, constant is \[60\].

Therefore, in the algebraic expression \[ - 6x - xy + 60\], variables are \[x\,and\,y\], coefficient is \[ - 6\], and constant is \[60\].

Note: In Mathematics, when any expression is getting separated through mathematical symbols like addition symbol or subtraction symbol, then those expressions are called terms. Here, in this question, there are three terms.