8. Algebraic Expressions and Identities

The chapter covers algebraic expressions and their manipulation, focusing on addition, subtraction, multiplication, and the use of identities. Key methodologies such as the distributive law, combining like terms, and finding areas and volumes through algebraic expressions are discussed. By understanding the fundamentals of algebraic expressions, students can efficiently address mathematical problems involving variables and constants.

Sections

  • 8

    Algebraic Expressions And Identities

    This section introduces algebraic expressions, focusing on their addition, subtraction, multiplication, and the implications of identities.

    Learning Practice

  • 8.1

    Addition And Subtraction Of Algebraic Expressions

    This section introduces the principles and methods for adding and subtracting algebraic expressions, highlighting the importance of like terms.

    Learning Practice

  • 8.2

    Multiplication Of Algebraic Expressions: Introduction

    This section introduces the multiplication of algebraic expressions, highlighting its applications in real-life scenarios and fundamental principles.

    Learning Practice

  • 8.3

    Multiplying A Monomial By A Monomial

    This section describes the methods and processes involved in multiplying monomials, along with examples to illustrate the concepts.

    Learning Practice

  • 8.3.1

    Multiplying Two Monomials

    This section introduces the multiplication of two monomials, showing how to multiply their coefficients and variables.

    Learning Practice

  • 8.3.2

    Multiplying Three Or More Monomials

    This section explains how to multiply three or more monomials together, illustrating the process with various examples.

    Learning Practice

  • 8.4

    Multiplying A Monomial By A Polynomial

    This section focuses on the multiplication of monomials by polynomials, showing how to apply the distributive law effectively.

    Learning Practice

  • 8.4.1

    Multiplying A Monomial By A Binomial

    This section covers how to multiply a monomial by a binomial using the distributive law.

    Learning Practice

  • 8.4.2

    Multiplying A Monomial By A Trinomial

    In this section, we learn to multiply a monomial by a trinomial using the distributive law, simplifying the process by breaking it down into manageable parts.

    Learning Practice

  • 8.5

    Multiplying A Polynomial By A Polynomial

    This section covers the methods and processes involved in multiplying polynomials, specifically focusing on multiplying binomials and the distributive law.

    Learning Practice

  • 8.5.1

    Multiplying A Binomial By A Binomial

    This section teaches the process of multiplying binomials using the distributive property.

    Learning Practice

  • 8.5.2

    Multiplying A Binomial By A Trinomial

    This section discusses the procedure for multiplying a binomial by a trinomial, illustrating how to apply the distributive law.

    Learning Practice

References

NCERT Study Material

Class Notes

Memorization

What we have learnt

  • Expressions are formed from...
  • Like terms can be combined ...
  • Multiplying monomials and p...

Final Test

Revision Tests

Chapter FAQs