NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable (EX 2.1) Exercise 2.1
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Linear Equations in One Variable are discussed in Chapter 2 of the Class 8 Mathematics NCERT Textbook. The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1, focus on the topic of Linear Equation in One Variable. Algebraic equations involve variables. The expression on the lefthand side of the equality sign is LHS, whereas on the righthand side of the equality sign is RHS. For certain values of variables, called the solutions, the expressions on the LHS and RHS should be equal. To make the learning process easy and organised for students, Extramarks provides them with the Class 8 Maths Chapter 2 Exercise 2.1 Solutions so that they can get used to the types of questions that appear in the examinations. These solutions make it easier for them to answer questions correctly in the examinations. Furthermore, Extramarks also provides students with revision notes, important questions, past years’ papers, and much more to assist them in performing well in their examinations.
NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable (EX 2.1) Exercise 2.1
Extramarks is a platform that has taken the initiative to help students work with their best potential. The solutions to Class 8 Maths Chapter 2 Exercise 2.1 provided by the Extramarks website help students gain a better understanding of the concepts and build a strong foundation for the examinations. Extramarks provides them with Class 8 Maths Chapter 2.1, which is curated in a very easytounderstand language. The NCERT Class 8 Maths Chapter 2 Exercise 2.1 provided by Extramarks can be easily downloaded on any device. Since these solutions are in PDF format, they are very easy to access. For a deeper understanding of the concepts of the exercise, Extramarks recommends that students thoroughly review these solutions. Further, by practising the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1 mindfully, students will be able to develop strategies for dealing with any questions that may arise during the examination. It is also important to practice various sample papers prior to the examination.
Access NCERT Solutions for Maths Chapter 2 – Linear Equations in One Variable
Practising the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1 is the essential method to score higher marks in the examinations. These solutions provide students with an accurate representation of what they can expect in the examination. The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1, are wellresearched and cover all the important aspects of the chapter. They enhance students’ critical thinking skills as well as provide a comprehensive understanding of the topic discussed in the chapter. It is therefore highly recommended that students practice the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1, before their examinations. The practice of these NCERT solutions allows students to identify topics that need more attention and those that are already prepared. Collectively, all of these factors contribute to better examination results.
Why Choose NCERT Solutions for Class 8 Maths Chapter 2?
Extramarks has always encouraged students to improve their academic performance. With the help of the Learning App, young learners can access all the resources they need to succeed in examinations. Expert educators at Extramarks curate the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1. These solutions are written in an understandable style so that students can comprehend them easily. The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1, are the most detailed and accessible solutions available online. Students can develop their skills, learn new things, and achieve success in their studies with Extramarks. This elearning portal demonstrates how technology can enhance the effectiveness and efficiency of learning. It is the goal of Extramarks to ensure that learners continue to grow, flourish, and achieve academic success. It is a very informative and easytouse learning website.
Benefits Attached to the NCERT Solutions for Class 8 Maths Chapter 2
The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1 enhance students’ conceptual understanding of the chapter. These solutions are easy to understand, so they can learn them without seeking assistance elsewhere. Students can find reliable and convenient study materials on Extramarks, and they should review sample papers, revision notes, and other learning tools that the website provides in addition to the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1. Sample papers are one of the most important tools to prepare for examinations. They familiarise students with the examination pattern of the question paper.
Furthermore, they provide students with the knowledge of the marks distribution and chapter weightage of the question paper. This way, students can get a practical experience with the question paper, which helps them to perform well in the examinations. However, going through the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1 is the first and foremost step that students should take when preparing for their examinations. These solutions help students to acknowledge all the concepts that can appear in the examinations.
Free PDF Downloads from NCERT Solutions
NCERT textbooks are compiled by experts who are highly knowledgeable about their subjects. To build students’ basic concepts, NCERT textbooks are the best educational tool. These textbooks, however, do not provide answers to their questions. It can be challenging for students to find authentic answers to those questions. To ensure that young learners receive the best quality education, Extramarks provides them with credible NCERT solutions for all academic years and subjects. For students to succeed academically, they should be introduced to comprehensive learning in smaller classes. Thus, along with NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1, Extramarks provides students with NCERT textbook solutions for all classes and subjects and a variety of credible study material.
NCERT Solutions Class 8 Maths Chapter 2 All Exercises
In Chapter 2, Class 8 Mathematics, there are six exercises in the NCERT textbook that involve solving equations that have variables on both sides, etc. A linear equation’s utility lies in its diverse applications, such as solving problems involving numbers, ages, perimeters, and so on. The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1 provided by Extramarks contain stepwise appropriate answers to all the questions of the textbook. In addition to helping students understand the concepts of the chapter, these solutions also help them develop their problemsolving abilities. Students should thoroughly review the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1 so that they can easily solve any complicated problems related to the concepts of the chapter. These solutions enable students to learn different approaches to solving questions, as well as develop strong fundamentals of the subject. The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1, also help learners to improve their preparation for the subject. As a result, they are able to apply the concepts of the chapter to reallife experiences.
NCERT Solutions for Class 8
Extramarks provides students with NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1, as well as other study materials to help them succeed in their examinations. Furthermore, Extramarks provides students with various learning modules such as K12 Study Material, Live Doubt Solving Classes, Learn Practice Analysis, Gamified Learning Experience, Complete Syllabus Coverage, and much more, along with NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1. All academic sessions and all subjects are covered by K12 Study Materials. Students have access to credible and complete study material through Extramarks, which provides authentic study material without having to search elsewhere. In addition, the Learning App provides young learners with LearnPracticeTest pedagogy. They take these tests periodically to keep track of their academic progress, periodically. These tests can help students prepare each chapter individually and focus on their strengths and weaknesses. In this way, students are able to prepare all chapters thoroughly and score well in examinations. Extramarks’ Gamified Learning experience makes monotonous studies fun through animations. As a result, students are able to learn more effectively and do not find learning boring.
Q.1 Solve the following equations.
$\begin{array}{l}1.\text{\hspace{0.33em}x}2=7\\ 2.\text{\hspace{0.33em}y}+3=10\\ 3.\text{\hspace{0.33em}}6=\text{z}+2\end{array}$
$\begin{array}{l}4.\frac{3}{7}+\text{x}=\frac{17}{7}\\ 5.\text{\hspace{0.33em}}6\text{x}=12\\ 6.\frac{\text{t}}{5}=10\end{array}$
$\begin{array}{l}7.\text{\hspace{0.17em}}\frac{2\text{x}}{3}=18\\ 8.\text{\hspace{0.17em}}1.6=\frac{\text{y}}{1.5}\\ 9.\text{\hspace{0.17em}}7\text{x}9=16\end{array}$
$\begin{array}{l}10.\text{\hspace{0.33em}}14\text{y}8=13\\ 11.\text{\hspace{0.33em}}17+6\text{p}=9\\ 12.\text{\hspace{0.17em}\hspace{0.33em}}\frac{\text{x}}{3}+1=\frac{7}{15}\end{array}$
Ans
$\begin{array}{l}1.\\ \text{x}2=7\\ \text{Transposing 2 to R.H.S,we obtain}\\ \Rightarrow \text{x}=7+2\\ \Rightarrow \text{x}=9\\ \\ 2.\text{}\\ \text{y}+3=10\\ \text{Transposing 3 to R.H.S,we obtain}\\ \Rightarrow \text{y}=103\\ \Rightarrow \text{y}=7\\ \\ 3.\\ \text{}6=\text{z}+2\\ \text{Transposing 2 to L.H.S,we obtain}\\ \Rightarrow 62=\text{z}\\ \Rightarrow \text{z}=4\\ \\ 4.\text{}\\ \frac{3}{7}+\text{x}=\frac{17}{7}\\ \text{Transposing}\frac{3}{7}\text{to R.H.S,we obtain}\\ \Rightarrow \text{x}=\frac{17}{7}\frac{3}{7}\\ \Rightarrow \text{x}=\frac{173}{7}\\ \Rightarrow \text{x}=\frac{14}{7}\\ \Rightarrow \text{x}=2\\ \\ 5.\text{}\\ 6\text{x}=12\\ \text{Dividing both sides by 6,we get}\\ \Rightarrow \frac{6\text{x}}{6}=\frac{12}{6}\\ \Rightarrow \text{x}=2\\ \\ 6.\\ \frac{\text{t}}{5}=10\\ \text{Multiplying both the sides by}\text{5,we get}\\ \Rightarrow \frac{\text{t}}{5}\times 5=10\times 5\\ \Rightarrow \text{t}=50\\ \\ 7.\\ \text{\hspace{0.17em}}\frac{2\text{x}}{3}=18\\ \text{Multiplying both the sides by}\frac{3}{2}\text{,we get}\\ \Rightarrow \frac{2\text{x}}{3}\times \frac{3}{2}=18\times \frac{3}{2}\\ \Rightarrow \text{x}=27\\ \\ 8.\\ \text{}1.6=\frac{\text{y}}{1.5}\\ \text{Multiplying both the sides by}1.5\text{,}\text{we get}\\ \Rightarrow 1.6\times 1.5=\frac{\text{y}}{1.5}\times 1.5\\ \Rightarrow \text{y}=2.4\\ \\ 9.\text{\hspace{0.17em}}\\ 7\text{x}9=16\\ \text{Transposing 9 to R.H.S,we get}\\ \Rightarrow 7\text{x}=16+9\\ \Rightarrow 7\text{x}=25\\ \text{Dividing both the sides by 7}\\ \Rightarrow \frac{7\text{x}}{7}=\frac{25}{7}\\ \Rightarrow \text{x}=\frac{25}{7}\\ \\ 10.\text{}\\ 14\text{y}8=13\\ \text{Transposing 8 to R.H.S,we get}\\ \Rightarrow 14\text{y}=13+8\\ \Rightarrow 14\text{y}=21\\ \text{Dividing both the sides by 14}\\ \Rightarrow \frac{14\text{y}}{14}=\frac{21}{14}\\ \Rightarrow \text{y}=\frac{3}{2}\\ \\ 11.\\ \text{}17+6\text{p}=9\\ \text{Transposing 17 to R.H.S,we get}\\ \Rightarrow 6\text{p}=917\\ \Rightarrow 6\text{p}=8\\ \text{Dividing both sides by 6}\\ \Rightarrow \frac{6\text{p}}{6}=\frac{8}{6}\\ \Rightarrow \text{p}=\frac{4}{3}\\ \\ 12.\text{\hspace{0.17em}}\\ \text{}\frac{\text{x}}{3}+1=\frac{7}{15}\\ \text{Transposing1 to R.H.S,we get}\\ \Rightarrow \frac{\text{x}}{3}=\frac{7}{15}1\\ \Rightarrow \frac{\text{x}}{3}=\frac{715}{15}\\ \Rightarrow \frac{\text{x}}{3}=\frac{8}{15}\\ \text{Multiplying both the sides by 3}\\ \Rightarrow \frac{\text{x}}{3}\times 3=\frac{8\times 3}{15}\\ \Rightarrow \text{x}=\frac{8}{5}\end{array}$
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FAQs (Frequently Asked Questions)
1. What are the benefits of studying the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1?
The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1 provided by the Extramarks website helps students to have an understanding of the type of questions that can be asked in the examinations. As a result, they feel more confident when attempting the questions in any tests or examinations. It helps them excel in their studies and achieve better marks in their examinations.
2. Is it essential to practise the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1 prior to appearing for the examinations?
Yes, it is important for the students to practice the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1 before appearing in the examinations as they help them to grow familiarity with the examination pattern which inculcates confidence in them. Furthermore, it enables the students to develop a habit of time distribution, which is extremely essential. They are able to achieve their goal and score well in the examinations.
3. Are the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1 available on the Extramarks website?
Yes, the Extramarks website provides students with authentic NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1. Along with this, students can also have access to all the necessary study modules and study materials modules for their examinations.
4. Are the NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1 difficult?
The NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1 are not difficult, and practising them will improve students’ performance in the examinations.
5. How can students prepare for the Class 8 Mathematics examinations?
The first step to prepare for the Class 8 Mathematics examinations is that students must go through the course textbook. Then, they should practice past years’ papers and extra questions. Students can score better in their examinations with the resources provided by Extramarks. Along with NCERT Solutions For Class 8 Maths Chapter 2 Exercise 2.1, Extramarks also provides students with various learning modules. Learning modules such as Live Doubt Solving Sessions, Indepth Performance Tracker, Self Assessment, and much more help students to score maximum marks in any school or competitive examinations and have a bright career.