Introduction to Algebraic Expressions
Constant
Constant is a quantity which has a fixed value.
Terms of Expression
Parts of an expression which are formed separately first and then added are known as terms.
They are added to form expressions.
Example: Terms 4x and 5 are added to form the expression (4x +5).
Coefficient of a term
The numerical factor of a term is called coefficient of the term.
Example: 10 is the coefficient of the term 10xy in the expression 10xy+4y.
Algebra as Patterns
Writing Number patterns and rules related to them
If a natural number is denoted by n, its successor is (n + 1).
Example: Successor of n=10 is n+1 =11.
If a natural number is denoted by n, 2n is an even number and (2n+1) an odd number.
Example: If n=10, then 2n = 20 is an even number and 2n+1 = 21 is an odd number.
Writing Patterns in Geometry
Algebraic expressions are used in writing patterns followed by geometrical figures.
Example: Number of diagonals we can draw from one vertex of a polygon of n sides
is (n – 3).
Definition of Variables
Any algebraic expression can have any number of variables and constants.
o Variable
Constant
Constant is a quantity which has a fixed value.
Terms of Expression
Parts of an expression which are formed separately first and then added are known as terms.
They are added to form expressions.
Example: Terms 4x and 5 are added to form the expression (4x +5).
Coefficient of a term
The numerical factor of a term is called coefficient of the term.
Example: 10 is the coefficient of the term 10xy in the expression 10xy+4y.
Algebra as Patterns
Writing Number patterns and rules related to them
If a natural number is denoted by n, its successor is (n + 1).
Example: Successor of n=10 is n+1 =11.
If a natural number is denoted by n, 2n is an even number and (2n+1) an odd number.
Example: If n=10, then 2n = 20 is an even number and 2n+1 = 21 is an odd number.
Writing Patterns in Geometry
Algebraic expressions are used in writing patterns followed by geometrical figures.
Example: Number of diagonals we can draw from one vertex of a polygon of n sides
is (n – 3).
Definition of Variables
Any algebraic expression can have any number of variables and constants.
o Variable
