RS Aggarwal Solutions for Class 8 Maths Chapter 8 Exercise 8.1 Linear Equations
Below we have provided RS Aggarwal Solutions for Class 8 Maths Chapter 8 Exercise 8.1 Linear Equations for the students so that they can prepare better for their examinations.
Neha Tanna2 Aug, 2024
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RS Aggarwal Solutions for Class 8 Maths Chapter 8 Exercise 8.1: The Physics Wallah academic team has produced a comprehensive solution for Chapter 8's Linear Equations in the RS Aggarwal class 8 textbook. The RS Aggarwal class 8 solution for chapter 8 Linear Equations Exercise-8A is uploaded for reference only; do not copy the solutions.
Before going through the solution of chapter 8 Linear Equations Exercise-8A, one must have a clear understanding of the chapter 8 Linear Equations. Therefore, read the theory of chapter 8 Linear Equations and then try to solve all numerical of exercise-8A.RS Aggarwal Solutions for Class 8 Maths Chapter 8 Exercise 8.1 Linear Equations Overview
RS Aggarwal Solutions for Class 8 Maths Chapter 8, Exercise 8.1, on Linear Equations, provides a comprehensive guide to understanding and solving linear equations in one variable. This exercise focuses on introducing students to the basic concepts of linear equations, emphasizing the balance method to isolate the variable and find its value. The problems in this exercise range from simple equations to slightly more complex ones that require multiple steps to solve. Each solution is presented with clear step-by-step explanations, helping students grasp the logic and techniques needed to manipulate equations effectively. The exercise encourages students to practice forming equations from given statements, thereby enhancing their analytical and reasoning skills. This practice is crucial in developing a foundational understanding of algebra, which is vital for more advanced mathematical concepts.What are Linear Equations?
An equation with the form ax+b = 0, where a and b are two integers and x is a variable with just one solution, is known as a linear equation in one variable. For instance, the linear equation 2x+3=8 has only one variable. As a result, there is only one solution to this equation, which is x = 5/2. In contrast, there are two solutions to a linear equation in two variables.Standard Form of Linear Equations in One Variable
The standard form of linear equations in one variable is represented as:ax+ b=0
RS Aggarwal Solutions for Class 8 Maths Chapter 8 Exercise 8.1 PDF Below we have provided RS Aggarwal Solutions for Class 8 Maths Chapter 8 Exercise 8.1 in detail. This chapter will help you to clear all your doubts regarding the chapter. Students are advised to prepare from these RS Aggarwal Solutions for Class 8 Maths Chapter 8 Exercise 8.1 before the examinations to perform better.RS Aggarwal Solutions for Class 8 Maths Chapter 8 Exercise 8.1 PDF
RS Aggarwal Solutions for Class 8 Maths Chapter 8 Exercise 8.1 (Ex 8A)
Below we have provided RS Aggarwal Solutions for Class 8 Maths Chapter 8 Exercise 8.1 Linear Equations -Solve:
Question 1. 8x + 3 = 27 + 2x
⇒ 8x – 2x = 27 – 3 ⇒ 6x = 24 ⇒ x = 4Question 2. 5x + 7 = 2x – 8
⇒ 5x – 2x = – 8 – 7 ⇒ 3x = – 15 ⇒ x = – 5Question 3. 2z – 1 = 14 – z
⇒ 2z + z = 14 + 1 ⇒ 3x = 15 ⇒ z = 5Question 4. 9x + 5 = 4(x – 2) + 8
⇒ 9x + 5 = 4x – 8 + 8 ⇒ 9x – 4x = – 5 ⇒ 5x = – 5 ⇒ x = -1Question 5.
⇒ 7y = 5y – 20
⇒ 7y – 5y = – 20
⇒ 2y = – 20
⇒ y = – 10
Question 6.
Question 7. 15(y – 4) – 2(y – 9) + 5(y + 6) = 0
⇒ 15y – 60 – 2y + 18 + 5y + 30 = 0 ⇒ 18y – 60 + 48 = 0 ⇒ 18y – 12 = 0 ⇒ 18y = 12
Question 8. 3(5x – 7) – 2(9x – 11) = 4(8x – 13) – 17
⇒ 15x – 21 – 18x + 22 = 32x – 52 – 17 ⇒ – 3x + 1 = 32x – 69 ⇒ – 3x – 32x = – 69 – 1 ⇒ – 35x = – 70 ⇒ x = 2Question 9.
Question 10.
⇒ t – 18 = 8 – 12t
⇒ t + 12t = 8 + 18
⇒ 13t = 26
⇒ t = 2
Question 11.
Question 12.
Question 13.
Question 14.
Question 15.
Question 16.
8x - 3 / 3x = 2
Question 17.
9x/ 7 - 6x = 15
Question 18.
3x/5x+2 = -4
Question 19.
6y-5/2y = 7/9
Question 20.
2-9z/17-4z = 4/5
Question 21.
4x+7/9-3x = 1/4
Question 22.
7y+4/y+2 = -4/3
Question 23.
Question 24.
Question 25.
m -(m-1)/2=1-(m-2)/3
Question 26.
Question 27.
Question 28.
Benefits of RS Aggarwal Solutions for Class 8 Maths Chapter 8 Exercise 8.1
The RS Aggarwal Solutions for Class 8 Maths Chapter 8, Exercise 8.1, on Linear Equations, offers several benefits for students. Here are some of the key advantages:Comprehensive Coverage :
The solutions provide detailed explanations and step-by-step guidance for each problem, ensuring that students understand the concepts and methods thoroughly.Clarity and Simplicity :
The solutions are presented in a simple and clear manner, making it easier for students to grasp complex concepts related to linear equations.Practice and Revision :
By solving these exercises, students get ample practice, which helps in reinforcing their understanding and preparing them for exams.Conceptual Understanding :
The solutions focus on building a strong conceptual foundation by explaining the rationale behind each step, which is crucial for solving linear equations.Variety of Problems :
The exercise includes a wide range of problems, from basic to advanced, allowing students to test their skills and improve their problem-solving abilities.Error Identification :
Students can identify and correct their mistakes by comparing their solutions with the provided ones, leading to better learning and retention.RS Aggarwal Solutions for Class 8 Maths Chapter 8 Exercise 8.1 FAQs
What is covered in Exercise 8.1 of RS Aggarwal Class 8 Maths Chapter 8?
Exercise 8.1 focuses on the fundamental concepts of linear equations in one variable. It covers solving equations by isolating the variable using basic algebraic operations like addition, subtraction, multiplication, and division. Students learn to manipulate equations to find the value of the unknown variable.
Why is learning linear equations important?
Linear equations form the basis of algebra, which is essential for understanding more advanced mathematical concepts. They are used in various real-world applications, such as calculating distances, budgeting, and problem-solving in science and engineering.
How can RS Aggarwal Solutions help in mastering linear equations?
The solutions provide detailed, step-by-step explanations for each problem in Exercise 8.1, ensuring students understand the logic and techniques required to solve linear equations. This helps in building a strong conceptual foundation and improving problem-solving skills.
How many problems are there in Exercise 8.1, and what is their difficulty level?
Exercise 8.1 includes a variety of problems ranging from basic to moderately complex, designed to test students’ understanding and ability to apply linear equation concepts. The exact number of problems may vary based on the edition of the textbook.
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