Introduction
It is a combination of constant and variables kept together through operations like addition,
subtraction etc.
Variable
It refers to the unknown quantities that can change or vary. It is generally an English
alphabet.
For example: In the expression 4x+5, x is the variable.
Constant
Constant is a quantity which has a fixed value.
For example: in the expression 4x+5, 5 is the constant.
Coefficient
It is a constant value used with the variable.
For example: in the expression 4x+5, 4 is coefficient.
Terms
The different parts of the algebraic expression are separated by the fundamental
operations.
For example: in the expression 4x+5, ‘4x’ and ‘5’ the terms
Like terms
Terms which contain same variables are called like terms
For example: 6pq and 2pq are like terms
Unlike terms
Terms having different variables are called unlike terms.
For example: 4x and -2y are unlike terms.
Types of Algebraic expression:
Monomial Expression
An algebraic expression containing only one term is known as a monomial.
For example
2×4, 2xy, etc.
Binomial Expression
A binomial expression has two unlike terms
For examples
2xy + 4, xyz + x2, etc.
Polynomial Expression
In general, an expression with more than one terms with non-negative integral exponents of
a variable is known as a polynomial.
Examples
ab + bc + ca, etc.
Addition and Subtraction of Algebraic Expression
Addition and Subtraction of like terms
Like terms can be added or subtracted by simply adding or subtracting the coefficients of
the terms.
For example: 5x + 3x = 8x , 5x – 3x = 2x
Addition and Subtraction of unlike terms
We write the unlike terms with the sign of addition and subtraction.
For example: adding 6x, 17y, 5
Result will be 6x+17y+5
Subtracting 7x from 3y
Result will be 3y-7x
Finding the value of an expression
Finding the numerical value of given expression.
Value of variable is given here.
Example: Find the value of 7x + y, given x=2, y=6
7x + y = 7(2) + 6 = 14 + 6 = 20
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