Constants and Variables are the popular terms used in algebra. Every expression or equation will be implemented with a combination of constants and variables. Constant is a fixed value in every expression and the variables are not fixed values. Learn different problems on Constants and Variables and get a grip on the complete concept.
Example:
x^2 + 2xy + 6 is an algebraic equation.
Here, 6 cannot be changed and it is the constant number in the equation, and x^2, 2xy values are varied depends on the values. So, x^2 and 2xy are variables in the equation.
Constant & Variables – Definitions
Constant: A Constant is defined as a fixed value in algebraic expressions or equations. Constant will not change with time and has a fixed value. For instance, Shoe Size will not vary at any point.
In an algebraic expression, x+y = 5, 5 is a constant value, and will not be changed.
Variables: Variables are terms that can change or differ over time. It will not have a fixed value unlike a constant. For example, the Height and Weight of a Person will not remain constant and will vary with time.
In an algebraic expression, x+y = 5, x and y are the variables and can be varied. Go through the below modules to know more about the key differences between Constants and Variables.
Difference Between Constants and Variables
See the main differences between Constants and Variables here. ?They are along the lines
- The main difference between the constants and variables, constant is a fixed value and a variable is not a fixed value.
- Constants are indicated by the numerical values and the variables are indicated by any alphabetical values like a, b, c, d, ………..z.
Examples of Constants and Variables
Find the Constants and Variables of Given Expressions.
1. x + y + 2 =0.
Solution:
The given expression is x + y + 2 = 0.
Here, x and y are variables.
2 is a constant number.
2. x^2 + y^2 + 20 = 0.
Solution:
The given expression is x^2 + y^2 + 20 = 0.
Here, x^2 and y^2 are variables.
20 is a constant number.
3. xy + x^2 + 15 = 0.
Solution:
The given expression is xy + x^2 + 15 = 0.
Here, xy and x^2 are variables.
15 is a constant number.
4. 2xy + 6 = x^2y.
Solution:
The given expression is 2xy + 6 = x^2y.
Here, 2xy and x^2y are variables.
6 is a constant number.
5. x^3 + y^3 = 2xy + 8.
Solution:
The given expression is x^3 + y^3 = 2xy + 8.
Here, x^3, y^3, and 2xy are variables.
8 is a constant number.
6. Find out the constants and variables in the below questions
(i) In 5m, 5 is a constant and m is a variable.
(ii) In -3ab, -3 is a constant and a and b are variables.
(iii) In 4b, 4 is constant and b is variable but together 4b is a variable.
(iv) If 2 is a constant and a is a variable, then 2 + a, 2 – a, 2/a, 2a, a/2, etc., are also variables.
FAQs on Constants and Variables
1. What is the main difference between variables and constant?
The major difference between variables and constants is variable is a varying quantity, and a constant is a fixed value.
2. What are the variables?
The variables are the terms in an algebraic equation that can be changed or that are not fixed. Example: a + b = 8, where a and b are the variables, and 8 is a constant.
3. What are constants?Â
The constants are the value in an algebraic expression that cannot be modified or changed. For example, in an equation x + y = 9, 9 is the constant value.
4. What is an algebraic expression?
The algebraic expression is a combination of constants, variables, integers, and mathematical operations.