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algebra expressionif you don't understand
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Writing Patterns in Geometry
Definition of Variables
Any algebraic expression can have any number of variables and constants.
Variable
A variable is a quantity that is prone to change with the context of the situation.
a,x,p,… are used to denote variables.
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Constant
It is a quantity which has a fixed value.
In the expression 5x+4, the variable here is x and the constant is 4.
The value 5x and 4 are also called terms of expression.
In the term 5x, 5 is called the coefficient of x. Coefficients are any numerical factor of a term.
Factors of a term
Factors of a term are quantities which can not be further factorised. A term is a product of its factors.
Example: The term –3xy is a product of the factors –3, x and y.

Formation of Algebraic Expressions
Variables and numbers are used to construct terms.
These terms along with a combination of operators constitute an algebraic expression.
The algebraic expression has a value that depends on the values of the variables.
For example, let 6p2−3p+5 be an algebraic expression with variable p
The value of the expression when p=2 is,
6(2)2 − 3(2) + 5
⇒ 6(4) − 6 + 5 = 23
The value of the expression when p=1 is,
6(1)2 − 3(1) + 5
⇒ 6 − 3 + 5 = 8
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Like and Unlike Terms
Like terms
Terms having same algebraic factors are like terms.
Example: 8xy and 3xy are like terms.
Unlike terms
Terms having different algebraic factors are unlike terms.
Example: 7xy and −3x are unlike terms.
Monomial, Binomial, Trinomial and Polynomial Terms
Types of expressions based on the number of terms
Based on the number of terms present, algebraic expressions are classified as:

Monomial: An expression with only one term.
Example: 7xy, −5m, etc.
Binomial: An expression which contains two, unlike terms.
Example: 5mn+4, x+y, etc
Trinomial: An expression which contains three terms.
Example: x+y+5, a+b+ab, etc.
Polynomials
An expression with one or more terms.
Example: x+y, 3xy+6+y, etc.
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Answer 1

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