Constants and Variables are the two types of symbols in algebra.
Constant:
A symbol which has a fixed numerical value is called a constant.
For example:
2, 5, 0, -3, -7, 2/7, 7/9 etc., are constants.
Number of days in a week represents a constant.
In the expression 5x + 7, the constant term is 7.
Variables:
A quantity which has no fixed value but takes no various numerical values is called a variable.
For example:
Temperature at different times of a day represents a variable.
The
height of a student in your grade is a variable, as it varies from
student to student. A variable is denoted by a letter like x, y, z, u, v
etc.
A combination of a constant and a variable is also a variable.
Examples on Constants and Variables:
(i) In 2a, 2 is a constant and a is a variable.
(ii) In -7mn, -7 is a constant and m and n are variables.
(iii) In 3x, 3 is constant and x is variable but together 3x is a variable.
(iv) If 3 is a constant and x is a variable, then 3 + x, 3 - x, 3/x, 3x, x/3, etc., are also variables.
So, we conclude that the combination of a constant and a variable is always a variable.
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