Algebraic Expression

3. - 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.
ALGEBRAIC EXPRESSION

5. •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.

6. There are 3 main types of
algebraic expressions which
include:
Types of Algebraic expression
• Monomial
Expression
• Binomial
Expression
• Polynomial

7. An algebraic expression which is
having only one term is known as
a monomial.
Examples:
include 3x4, 3xy, 3x, 8y, etc.
Types of Algebraic expression
• Monomial Expression

8. an algebraic expression which
is having two terms, which are
unlike.
Examples:
5xy + 8 xyz + x3
Types of Algebraic expression
• Binomial
Expression

9. an algebraic expression which
is having three terms, which are
unlike.
Examples:
3𝑥2
+5xy + 8 x3 + xyz +5
Types of Algebraic expression
• Trinomial
Expression

10. - an expression with more than
one term with non-negative
integral exponents of a variable
is known as a polynomial.
Examples: ax + by + ca, x3 + 2x
+ 3, etc.
Types of Algebraic expression
• Polynomial
Expression

11. Other Types of Algebraic
expression
1. Numeric Expression consists of numbers
and operations, but never include any
variable.
Examples: 10 + 5, 15 ÷ 2, etc.
2. Variable Expression is an expression
that contains variables along with numbers
and operation to define an expression.
Examples: 4x + y, 5ab + 33, etc.

12. Classify each term in the given expression:
1. 5𝑥2
+ 2
2. 3x
3. 2𝑥2
+ 3𝑦 + 6
4. 10x – 5
5. 𝑥2
+ 5𝑥 − 14
Exercise:

13. • evaluates algebraic expressions
for given values of the variables.
Evaluate algebraic expression
Example: Evaluate the expression if the value of x = 5
1. 4x + 5 = 4(5) + 5 = 20 + 5 = 25
1. 2𝑥2
+ 3x - 4 = 2(5)2
+ 3(5) - 5 = 50 + 15 - 4 = 61

14. Evaluates algebraic expressions for given values
of the variables.
1. If the value of x = 4
a. 5𝑥2 + 2 b. 7𝑥2 - 2x + 5
Exercise:
2. If the value of x = 2 and y = 3
a. 3𝑥2 + 2𝑥𝑦 − 10 b. 4𝑦2 - 2xy + 4

15. THANK YOU !!!