ICSE 9 Mathematics | 3. Algebra by Pavan | Learn Smarter with Allrounder.ai
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

3. Algebra

3. Algebra

Algebra introduces the use of symbols to represent numbers and quantities, generalizing arithmetic operations. It encompasses algebraic expressions, identities, operations, factorization, and linear equations in one variable. Techniques such as substitution and application in word problems highlight the practical aspects of algebra in solving real-world issues.

14 sections

Enroll to start learning

You've not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Sections

Navigate through the learning materials and practice exercises.

  1. 3

    Algebra involves using symbols and letters to represent numbers and solve...

  2. 3.1
    Introduction To Algebra

    Algebra uses symbols and letters to represent numbers, enabling the...

  3. 3.2
    Algebraic Expressions

    Algebraic expressions combine numbers and variables using operations, and...

  4. 3.2.1
    Types Of Algebraic Expressions

    This section discusses various types of algebraic expressions, including...

  5. 3.3
    Operations On Algebraic Expressions

    This section covers the key operations—addition, subtraction,...

  6. 3.3.1
    Addition And Subtraction

    This section introduces the concepts of addition and subtraction of...

  7. 3.3.2
    Multiplication

    This section covers multiplication in algebra, focusing on how to use the...

  8. 3.3.3

    This section discusses the division of algebraic expressions, specifically...

  9. 3.4
    Algebraic Identities

    Algebraic identities are equations that are universally true for all values...

  10. 3.5
    Factorization

    Factorization involves breaking down algebraic expressions into a product of...

  11. 3.5.1
    Methods Of Factorization

    This section describes various methods of factorization in algebra,...

  12. 3.6
    Linear Equations In One Variable

    This section introduces linear equations in one variable and the rules for...

  13. 3.7
    Substitution Method In Algebra

    The substitution method in algebra involves replacing a variable with a...

  14. 3.8
    Application In Word Problems

    This section focuses on translating word problems into algebraic expressions...

What we have learnt

  • Algebra involves symbols and letters to represent quantities.
  • Algebraic expressions consist of terms that can be like or unlike.
  • Factoring algebraic expressions can be done through various methods including grouping and using identities.

Key Concepts

-- Algebraic Expression
A mathematical phrase that can contain numbers, variables, and operations.
-- Like Terms
Terms that have the same variables raised to the same powers.
-- Polynomial
An expression with one or more terms.
-- Algebraic Identities
Equations that are true for all variable values.
-- Factorization
Breaking down an algebraic expression into a product of its factors.
-- Linear Equations
An equation that can be expressed in the form ax + b = 0.
-- Substitution Method
Replacing a variable with its value or another expression.

Additional Learning Materials

Supplementary resources to enhance your learning experience.