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  • Last Modified 16-10-2024

NCERT Solutions for Linear Equations in One Variable Exercise 2.6 Class 8 Maths

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Exercise 2.6 Class 8 Maths: Chapter 2 of Class 8 Maths is one of the most important chapters. The chapter is Linear Equations in one variable. It includes topics like solving Equations which have Linear Expressions on one Side and Numbers on the Other Side, Some Applications, Equations Reducible to the Linear Form and many more. These are a few important topics that will help the students to prepare well for future exams.

Embibe offers expert advice and key questions for students to consider. Class 8 maths chapter 2 exercise 2.6 involve higher-order thinking. Majority of the students find difficulty in finding the NCERT solutions for class 8 maths chapter 2 exercise 2.6. But Embibe has every details a student might require while practicing ex. 2.6 class 8. View the class 8 maths chapter 2 exercise 2.6 in the article and practice!

Exercise 2.6 Class 8 Maths: Chapter Overview

Students must be aware of the chapter overview before they start practicing the exercises. Always remember to have a clear idea about the chapter and its topics discussed for better preparation. Here are a few details one must know about the chapter and the class 8 maths exercise 2.6:

Linear Equations in One Variable2.1 Introduction
2.2 Solving Equations which have Linear Expressions on one Side and Numbers on the other Side
2.3 Some Applications
2.4 Solving Equations having the Variable on both sides
2.5 Some More Applications
2.6 Reducing Equations to Simpler Form
2.7 Equations Reducible to the Linear Form
Maths Class 8 NCERT Solutions Chapter 2 ExercisesNo. of Questions
Exercise 2.112
Exercise 2.216
Exercise 2.310
Exercise 2.410
Exercise 2.510
Exercise 2.67

Here, maths class 8 chapter 2 exercise 2.6 deals with reducing equations to simpler form, which is a very important topic. Rewriting an equation in a simplified form is known as reducing it. Certain mathematical equations are not in the form of linear equations, but they can be made into linear equations by using particular mathematical operations. These equations can be solved and the value of the unknown simply estimated after they are reduced to linear form.

Chapter Summary

In mathematics, one-degree equations are referred to as linear equations in one variable. The expression on the left is referred to as the left hand side, and the expression on the right is referred to as the right hand side. a x +b= c, for example, where x is the single variable and a and b are real values.
A linear equation in one variable is one that has just one degree, that is, the highest power of the variable in the equation is one. In order to solve linear equations, they must have a rational solution and variables on both sides. You can solve challenges involving age, perimeter, and currency note combinations, among other things. We can state that the expression values on the right and left sides are equal. As a result, these values are known as solutions.

Class 8 Maths Chapter 2 Exercise 2.6

Let’s look at the NCERT solutions for exercise 2.6 in class 8 maths. It’s worth noting that the NCERT textbooks’ solutions and questions are crucial. Students can use these questions to help them grasp the topics better. Each of the activities at the end of each section covers the relevant themes.

The Advantages of NCERT Questions and Solutions

There are various advantages to answering NCERT questions, which are often debated. Before moving on to anything further, the students must complete all of the textbook questions! Here are a few advantages that are highlighted for all students:

  • Knowledge Of The Concepts In Detail: NCERT books are the most important source of information for most students who are studying for any board or competitive exam! This is because the NCERT textbooks teach the most difficult topics in the most thorough manner. Topic-by-topic, in-depth knowledge is offered. Students gain a clear understanding of the subject by answering NCERT questions. When it comes to math, clarity is crucial, and pupils will benefit from solving the in-text solutions.
  • 90% Questions From NCERT Books: Every year, the CBSE board administers the CBSE exams, which pupils typically find difficult. This is because the quality of queries is rising. The board examinations can be easily passed if a student solves the NCERT solutions and practices them on a regular basis. The majority of questions on the Maths board exam are NCERT in-text questions.
  • High Marks from NCERT Books: NCERT in-text questions will help a student achieve the highest possible grade. Even if students do not have time to practice the additional questions from the curriculum, answering NCERT questions is more than adequate to achieve good exam results. Students will benefit from the exercises that cover each topic.
  • The Finest Way To Prepare For Competitive Exams: NCERT books are the best way to prepare for competitive exams for those who want to pass them. NCERT books can provide a solid foundation for any subject’s themes. Students will be able to learn advanced topics with easily in the future.
  • Organised Answer keys: Topics are easily comprehended once students start practicing the in-text questions. The solutions are presented in a step-by-step format, making it easier for pupils to follow after revising.

FAQs on Exercise 2.6 Class 8 Maths

Beginning their preparation for the Class 8 exams, students will face numerous hurdles. After they begin practicing math, the students will have a lot of questions. Most pupils find it challenging. However, with the proper coaching, overcoming these doubts becomes a breeze! We’ve answered a handful of the most frequently asked questions here:

Q.1: Where can I download the pair of linear equations in one variable class 8 NCERT solutions for?
Ans: One can download the exercise 2.6 class 8 maths solutions from Embibe for. They provide the study materials, mock tests and video lessons, for as well. Students can download or view them for at anytime and practice! In fact, Embibe provides the students ncert solutions from the subject experts for all the in-text exercises of every chapter. Students will have to do a sign up and explore the world of learning with Embibe!

Q.2: What are the few important topics under the pair of linear equations in one variable?
Ans: A few important topics under the pair of linear equations in one variable are:

  • Solving Equations Which Have Linear Expressions On One Side And Numbers On The Other Side
  • Some Applications
  • Solving Equations Having The Variable On Both Sides
  • Some More Applications
  • Reducing Equations To Simpler Form
  • Equations Reducible To The Linear Form

Q.3: Can you give one solved example for linear equations in one variable?
Ans: Embibe provides solved examples for the students to practice for. Here are a few important examples with their solutions.

Arjun is twice as old as Shriya. Five years ago his age was three times Shriya’s age. Find their present ages.

Let us take Shriya’s present age to be x years.

Then Arjun’s present age would be 2x years.

Shriya’s age five years ago was (x – 5) years.

Arjun’s age five years ago was (2x – 5) years.

It is given that Arjun’s age five years ago was three times Shriya’s age.

Thus, 2x – 5 = 3(x – 5) or 2x – 5 = 3x – 15 or 15 – 5 = 3x – 2x or 10 = x

So, Shriya’s present age = x = 10 years.

Therefore, Arjun’s present age = 2x = 2 × 10 = 20 years.

Q.4: Which topic has the maximum number of questions asked in chapter 2 class 8?
Ans: The maximum number of questions are asked from the topics  Solving Equations Which Have Linear Expressions On One Side And Numbers On The Other Side and Reducing Equations To Simpler Form. Students can easily download the class 8 maths chapter 2 exercise 2.6 solutions from Embibe. The topics are explained in a very easy manner by the subject experts in Embibe.

Q.5: How do I prepare for Class 8 Maths exams?
Ans: Class 8 Maths syllabus is vast and students should start preparing early. Having said that, Class 8 is not considered for any assessment by CBSE but understanding the topics are very important because these topics of class 8 maths is the foundation for the students for Classes 9, 10, 11 and 12. Hence, understand the topics clearly by practicing. Solve NCERT in-text questions and solutions. Practice the topics that are challenging at first and make notes. Above all, never leave out on any NCERT questions.

We hope that the article on Exercise 2.6 Class 8 will help the students resolve most of their doubts. If any doubts persist, feel to comment below and we will help you in all the ways possible!

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