Question

What are the three types of variables?

Answer 1

Hint: In this question, we have to state different types of variables and their significance. And the variables play a significant role in solving mathematical problems. The variable is not a fixed quantity. That means it can be changed based on the mathematical operation performed.

Complete answer:
A variable in mathematics is defined as a symbol (typically a letter) used to denote an unknown numerical value in an equation.
Thus, there are three variables:
1. Dependent variable,
2. Independent variable,
3. Control variable.
Let us discuss them one by one.

1) Dependent Variable
The dependent variable is defined as the variable whose value is determined by the evaluation of another variable in its state. That is, the evaluation of the word variable is consistently said to be dependent on the free variable of math condition. In simple terms, we can say that the value of these variables is the input values for an expression.
2) Independent Variable
In a mathematical equation, an independent variable expresses a variable whose values are independent of changes. If \[a\]and \[b\] are two variables in an equation and every value of \[a\] is connected with any other value of \[b\], then ‘\[b\]’ value is a function of \[a\] value known as an independent variable, and ‘\[b\]’ value is a dependent variable. So in short, the values of these variables vary according to the values of independent variables.
3) Control Variables
The modification in independent variables affects the values of these variables. Any component that is controlled or maintained constant throughout an experiment is referred to as a control variable. As a result, it is sometimes referred to as a controlled variable or a constant variable.

Therefore, the three different types of variables are dependent, independent, and control variable.

Additional Information: Variables can be used to represent the various quantities to be estimated while converting word problems into algebraic equations.

Note: Many students forgot the third type of variable such as control variable. But in reality, there are there is one more variable along with independent and dependent variables such as the control variable.