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NCERT Solutions for Class 8 Maths Chapter 8 Algebraic Expressions and Identities - PDF Download

JEE Mains & Advanced

Algebra is one of the most important branches of mathematics that teaches you how to form an equation and how to solve it using different methods. NCERT solutions for class 8 maths chapter 8 will teach you how to use the various terms and variables in the equation to solve different problems. NCERT solutions for maths class 8 chapter 8 Algebraic Expression and Identity will provide you with a comprehensive explanation for each problem in this chapter. The chapter will cover important topics such as product of equation, coefficient of variable in equation, subtractive equation, product of two roots, division of equation, etc.

eSaral's subject experts have provided NCERT solutions for class 8 maths chapter 8 Algebraic Expression and Identities. Our mathematics expert teachers will give you comprehensive and step-wise answers to every question in the chapter. In order to obtain the highest and most effective solution, you can always depend on our NCERT solution for class 8 maths chapter 8, as it is prepared in a comprehensible language. All Mathematical steps of the solutions to various math   

problems are presented in a language that can be easily understood by students. You can also download the free pdf of NCERT solutions for chapter 8 on eSaral website.  

Important Topics covered in Chapter 8 - Algebraic Expressions and Identities

 NCERT solutions for class 8 maths chapter 8 is mainly concerned with the study of polynomial problem solving. Here you will find the important topics covered in chapter 8.

8.1 Addition and Subtraction of Algebraic Expressions

8.2 Multiplication of Algebraic Expressions: Introduction

8.3 Multiplying a Monomial by a Monomial

8.3.1 Multiplying two monomials

8.3.2 Multiplying three or more monomials

8.4 Multiplying a Monomial by a Polynomial

8.4.1 Multiplying a monomial by a binomial

8.4.2 Multiplying a monomial by a trinomial

8.5 Multiplying a Polynomial by a Polynomial

8.5.1 Multiplying a binomial by a binomial

8.5.2 Multiplying a binomial by a trinomial

8.1 Addition and Subtraction of Algebraic Expressions - If two algebraic expressions are like terms, we can add or subtract them. For addition or subtraction, we put each expression in different rows, placing each Like Term one above the other.

8.2  Multiplication of Algebraic Expressions: Introduction - This section covers the basics of multiplication of algebraic expressions, the steps associated with multiplication, and the procedures for implementing the results of multiplication.

8.3 Multiplying a Monomial by a Monomial - When a monomial is multiplied by itself, it is called Multiplication of Monomial by a monomial. It consists of only one term, namely a single variable and a single constant. 

For example; x × 3y and 5x × 4y2

In this section, you will learn two types of terms.

              8.3.1 Multiplying two monomials
              8.3.2 Multiplying three or more monomials

8.4 Multiplying a Monomial by a Polynomial - When a monomial is multiplied by a polynomial, it is called a Multiplication of the Monomial by a polynomial.

It is composed of two terms, namely the two constants and the two variables.

For example; 4xy × 5x2y2 and -20x × xyz

In this section, you will learn two types of terms.

            8.4.1 Multiplying a monomial by a binomial
            8.4.2 Multiplying a monomial by a trinomial

8.5 Multiplying a Polynomial by a Polynomial - When a polynomial is multiplied by a polynomial, it is referred to as the multiplying a polynomial by a polynomial.

It's a set of things that have two or more terms, like a group of constants and variables.

For example: (3a + 4b) × (2a+3b) and (x-4) × (2x+3)

In this section, you will learn two types of terms.

            8.5.1 Multiplying a binomial by a binomial
            8.5.2 Multiplying a binomial by a trinomial

NCERT Solutions for Class 8 Maths Chapter 8 Exercises

An overview of the questions to be included in each exercise of the NCERT solutions for class 8 maths chapter 8 Algebraic Expression and Identity is provided below.

Exercise 8.1

2 Questions & Solutions

Exercise 8.2

5 Questions & Solutions

Exercise 8.3

5 Questions & Solutions

Exercise 8.4

3 Questions & Solutions

Benefits of Downloading The NCERT Solutions for Class 8 Maths Chapter 8 - Algebraic Expressions and Identities

The NCERT offers a wide range of solutions to the concepts in class 8 maths chapter 8. Here, we will provide an overview of the benefits of downloading and using NCERT solutions to chapter 8 of class 8 maths.

  1. These solutions help to remove the doubts of the student by establishing the foundation and clarifying the fundamental concepts of the chapter by providing comprehensive answers to all NCERT questions in this chapter.

  2. By using NCERT solutions pdf, students can prepare effectively for exams. These solutions cover a wide range of problems, allowing students to practice extensively and develop problem-solving skills.

  3. eSaral provides a free pdf to download NCERT solutions for chapter 8.

  4. NCERT solutions solved by our mathematics experts also contain examples that explain the concepts in more detail. These examples illustrate how the concepts of algebraic expressions and identities can be applied to real-world situations. When students understand how these concepts can be used in different contexts, they are better able to connect with the topic and understand its importance.

Frequently Asked Questions

Question 1. What are Algebraic Expressions in NCERT solutions for class 8 maths chapter 8 ?

Answer 1. In NCERT solution for class 8 maths an algebraic expression is an equation or a combination of a variable, a number and an algebraic operation (addition, subtraction, multiplication etc.). An Algebra is a set of terms, such as a variable, coefficients, or a constant. For example 2x + 5y - 3. Here, 2 and 5 are coefficients, x and y are variables, and ‘3’ is a constant. Algebraic expressions can be divided into three types: monomials, binomials, and trinomials. 

Question 2. Do I need to solve all the exercises in NCERT solutions for class 8 maths chapter 8 ?

Answer 2. Yes, it is very important to solve all the exercises in chapter 8 of NCERT solutions for class 8 maths. All the exercises have many questions to solve which are likely to appear in the exams. This makes you feel more confident about the syllabus.