An algebraic expression is made up of variables, constants, and algebraic operations. It contains terms and can be represented using unknown variables, constants, and coefficients. There are three main types of algebraic expressions: monomial, binomial, and polynomial. A monomial expression has only one term, while binomial and polynomial expressions have two or more terms.

1. What is an Algebraic Expression?
An algebraic expression in mathematics is an expression
which is made up of variables and constants, along with
algebraic operations (addition, subtraction, etc.). Expressions
are made up of terms.
Examples
3x + 4y – 7, 4x – 10, etc.
These expressions are represented with the
help of unknown variables, constants and
coefficients

3. x is a variable, whose value is
unknown to us which can take any
value.
5 is known as the coefficient of x,
as it is a constant value used with
the variable term and is well
defined.
3 is the constant value term that
has a definite value.

4. Definitions
• Variable – A variable is a letter
or symbol that represents a
number (unknown quantity).
• 8 + n = 12

5. Definitions
• A variable can use any letter of
the alphabet.
• n + 5
• x – 7
• w - 25

6. Coefficient
• “Any number with which we multiply a
variable." For example, in the term 9.3x, 9.3
is the coefficient of the variable x, and in -
5z, -5 is the coefficient.

7. Constant
• In Algebra, a constant is a number on its
own, or sometimes a letter such as a, b or c
to stand for a fixed number.
• Example: in "x + 5 = 9", 5 and 9 are
constants.

8. Definitions
• Algebraic expression – a group of
numbers, symbols, and variables
that express an operation or a
series of operations.
• m + 8
• r – 3

9. Definitions
• Evaluate an algebraic expression –
To find the value of an algebraic
expression by substituting numbers
for variables.
• m + 8 m = 2 2 + 8 = 10
• r – 3 r = 5 5 – 3 = 2

10. Definitions
• Simplify – Combine like terms
and complete all operations
m = 2
• m + 8 + m 2 m + 8
• (2 x 2) + 8 4 + 8 = 12

11. Write Algebraic Expressions
for These Word Phrases
• Ten more than a number
• A number decrease by 5
• 6 less than a number
• A number increased by 8
• The sum of a number & 9
• 4 more than a number
n + 10
w - 5
x - 6
n + 8
n + 9
y + 4

12. Types of Algebraic expression
There are 3 main types of
algebraic expressions which
include:
1.Monomial Expression
2.Binomial Expression
3.Polynomial Expression

13. Monomial Expression
An algebraic expression which is having only one term is known as
a monomial.
Examples of monomial expressions include 3x4, 3xy, 3x, 8y, etc.