A symbol which takes on various numerical values is known as a variable or a literal.
We know that the perimeter of a square of side a is given by the formula, P = 4a.
Here 4 is a constant, while a and P are variables.
A symbol having a fixed numerical value is called a constant.
e.g. 7, - 2,
etc. are all constants.
Any expression involving a letter is called a function of that letter.
2a 5b + 6c – 7c + 8xd
e.g. x 2 + 3x + 2 is a function of x.
A combination of constants and variables, connected by +, - , x and ÷ is known as an algebraic expression.
e.g. (i) 6a + 7b is an expression containing 2 terms, namely 6a and 7b.
(ii) 7 + 5x – 8xy is an expression containing 3 terms, namely 7, 5x and – 8xy.
An algebraic expression containing one term only, is called a monomial.
e.g. 5x, 6y 2 , 3x 2 yz, - 9 are all monomials.
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