NCERT Solutions for Class 8 Maths Chapter 8 Exercise 8.1 Algebraic Expressions and Identities - PDF Download

NCERT solutions class 8 maths chapter 8 ex 8.1 algebraic expressions and identities are based on the addition and subtraction of algebraic expressions. The NCERT solutions for class 8 maths ex 8.1 aim to make it easier to understand the 'terms' that make up an expression. If you can figure out how to deal with the different terms in an expression, then you can easily use it as a whole. Once you have figured out how to work with expressions, you will need to learn the different types of expressions, like monomials, binomials, polynomials and so on.

Once the expression and its different types are understood, the students will be able to easily classify the algebraic expressions and perform arithmetic operations like addition and subtraction of algebraic expressions according to the ex 8.1 questions of NCERT solutions class 8 maths. Ex 8.1 class 8 maths solutions consist of two questions with its sub-parts. NCERT solutions are prepared by subject experts of eSaral using a step by step approach. Class 8 maths chapter 8 exercise 8.1 NCERT solutions are available in PDF format which can be downloaded free from eSaral. You can practice questions from these PDFs to score good marks in exams.

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Topics Covered in Exercise 8.1 Class 8 Mathematics Questions

Ex 8.1 class 8 maths chapter 7 algebraic expressions and identities covers the topic of addition and subtraction of algebraic expressions. 

1. Important points to Remember

Algebraic Expression - Algebraic expression is any mathematical expression that contains numbers, variables, and operations.

Terms - Each expression is separated by an operation called Terms. 

Factors - Every term is formed by the product of the factors.

Coefficient - Coefficient of a variable is the number that is placed before a variable or the number factor of the term.

Variables - Any letter such as x, y, etc., are called variables.

Constant - The number without any variable is called constant.

Monomial, Binomial and Trinomial - Expressions that contain exactly one, two and three terms are called monomials, binomials and trinomials respectively. 

Polynomial - Any expression containing one or more terms with non-zero coefficients (and with variables having non- negative integers as exponents) is called a polynomial.

Like and Unlike terms 

Like Terms are terms that contain the same variable.

The terms that have different variables are referred to as, Unlike Terms.

2. Addition and Subtraction of Algebraic Expressions

The following are the steps to add or subtract algebraic expression:

• Step 1- First, we need to write the algebraic expressions in different rows so that the related terms come in the same row.
• Step 2- As we add other numbers, we will add them accordingly.
• Step 3- If any term of the same variable is not there in another expression then write it as it is in the solution.

Tips for Solving Exercise 8.1 Class 8 Chapter 8 Algebraic Expressions and Identities 

eSaral has explained important tips to solve the questions of ex 8.1 class 8 maths chapter 8. You can check these tips mentioned below.

1. In these NCERT solutions class 8 maths chapter 8 ex 8.1, students need to understand what is an expression and what are its different types.
2. The questions in NCERT solutions class 8 maths ex 8.1 algebraic expressions and identities go deep into the concept of expressions and how they work, and if you practice enough, you will be able to solve the addition and subtraction of algebraic expressions.
3. The students should learn the full meaning of the algebraic expressions and try to solve all the examples to remember the important terms and concepts.

Importance of Solving Ex 8.1 Class 8 Maths Chapter 8 Algebraic Expressions and Identities

NCERT class 8 maths solution ex 8.1 is very helpful for students from an examination perspective. To assist students, we have listed below some of the advantages of solving ex 8.1.

1. Solving questions of ex 8.1 class 8 maths chapter 8 will assist students to comprehend the topic and concepts of algebraic expressions.
2. Solutions provided by the subject experts of eSaral are in precise and detailed manner which students can depend on.
3. Students can also cross check their answers from NCERT solutions class 8 maths chapter 8 ex 8.1.
4. In NCERT solutions, the concepts of addition and subtraction of algebraic expressions have been elaborated in easy language.

Frequently Asked Questions

Question 1.  What are algebraic expressions in Class 8 maths chapter 8 ex 8.1?

Answer 1. An algebraic expression is an equation or an expression that is made up of a combination of variables, numbers, and algebraic operations like addition, subtraction, and multiplication. Algebraic expressions is a term that is composed of variables, coefficients and constants. There are three types of algebraic expressions: monomials, binomials and trinomials

Question 2. What are the important topics of NCERT solutions class 8 maths chapter 8 ex 8.1?

Answer 2. Addition and subtraction of the algebraic expression are important topics in chapter 8 ex 8.1.