2. A combination of constants and variables connected
by fundamental operations of addition, subtraction
multiplication and division is called algebraic
expression
Eg:
a)5x3
-9y3
b)3x+2y + 9
3. Coefficient: The number Multiplied by the
variable is called Coefficient.
• Examples:
- 5x Coefficient is 5
→
- -3y² Coefficient is -3
→
- 7 Coefficient is 7
→
4. Terms : Various parts of algebraic expression
which are separated by the signs of + or –are
called the terms of an expression.
Type of Algebraic
Expressions:
1. Monomial:
2. Binomial:
3. Trinomial or Polynomial:
5. Monomial: A monomial is classified as an
algebraic expression that has only one term.
Monomial expression examples include:
Examples:
• 10ab2
is a two variables monomial in a and b.
• 5m2
n is a two variables monomial in m and
n.
• -7pq is a two variables monomial in p and q.
• 5b3
c is a two variables monomial in b and c.
• 2b is a one-variable monomial in b.
6. Binomial Expression: A binomial expression is an
algebraic expression that has two improbable
terms.
Examples of binomial include:
•m+n is two variables binomial in m and n.
•a2
+2b is two variables binomial in a and b.
•5x3
-9y3
is two variables binomial in x and y.
•-11p-q2
is two variables binomial in p and q.
7. Trinomial Expression or Polynomial:
An algebraic expression of only three non-zero
terms is called a trinomial
•x + y + z is three variables trinomial in x, y
and z.
•2a2
+ 5a + 7 is a one-variable trinomial in a.
8. Like Terms terms of Algebraic Expression: Like terms
are those terms whose variables and their exponent
power are the same. The coefficient of these variables
can be different.
1. Identify Like and Unlike Terms:
(a) 2x, -5x, 7y, 9x
(b) 3ab, -4ab, 6b
9. Unlike Terms terms of Algebraic Expression:
Unlike terms are those terms whose variables and
their exponents are different from each other.
Eg:
10. Like Terms Unlike Terms
Terms with the same variables
and exponents.
Terms with different variables
and exponents.
Like terms can be simplified by
combining them.
Unlike terms cannot be
simplified by combining them.
Addition and Subtraction of
like terms can be done
together.
Addition and Subtraction of
unlike terms cannot be done
together.
13x2
+ 5x2
is an example of like
terms.
7z - 25r is an example of unlike
terms.
Like terms are also called Unlike terms are also called
11. Degree of Algebraic Expressions
• Definition: Highest exponent of the variable
in an expression
• Examples:
- 2x + 3y (Degree = 1)
- 4x² + 5x + 7 (Degree = 2)
- 6x³ + 2x² + 9 (Degree = 3)
12. Practice Questions
1. Identify Like and Unlike Terms:
(a) 2x, -5x, 7y
(b) 3ab, -4ab, 6b
2. Find the Degree of the Expression:
(a) 3x² + 4x + 5
(b) 2y³ - 7y + 1
3. Find the Coefficient of the Given Term:
(a) 8a²
(b) -5x
