RS Aggarwal Solutions Class 7 Chapter-7

Q: 5. What is the 'transposition method' for solving linear equations, and why is getting the sign right so important?

The transposition method is a technique where you move a term from one side of the equation to the other. When you transpose a term, its operation reverses: addition becomes subtraction, subtraction becomes addition, multiplication becomes division, and vice-versa. Getting the sign right is absolutely critical because a single mistake (e.g., forgetting to change a '+' to a '–') will result in a completely incorrect answer. Mastering this is key to solving linear equations accurately.

RS Aggarwal Solutions Class 7 Chapter-7 Linear Equations in One Variable (Ex 7A) Exercise 7.1 - Free PDF

RS Aggarwal Class 7 Chapter 7 Exercise 7a is a perfect study guide for understanding and learning the solutions for all problems in Exercise 7.1. It explains each sum in a step-by-step process for grade 7 students. As these books are available as per Chapter and Exercise in the PDF formats, learners can understand slowly and practice in their feasible timings. Mathematics is a scoring subject, and these books help score better marks.

Every NCERT Solution is provided to make the study simple and interesting on Vedantu. Register Online for NCERT Maths Class 7 and Class 7 Science tuition on Vedantu.com to score more marks in CBSE Board Examination.

Learning Objectives of RS Aggarwal Solutions Class 7 Chapter 7 Exercise 7.1

RS Aggarwal solution for Class 7 Chapter 7 Linear Equation in one variable is the best material to learn the step-by-step problem-solving technique. The Chapter is about Linear Equations in one variable, which play a significant role in higher Classes. This Chapter deals with Linear Equations and how to find the degree of Linear Equations.

RS Aggarwal, Chapter 7A explains that Linear Equations may have one or more variables. Based on variables, they are called monomial, binomial, polynomial, etc. RS Aggarwal solutions give an opportunity to students to study various solved Examples and practice many problems. The process teaches the student to use a basic and important method that is a factor.

Benefits of Vedantu’s RS Aggarwal solution for Class 7 Maths

The key benefits of downloading and referring to Vedantu’s RS Aggarwal solutions are:

Experts in the curriculum field thoroughly researched and provided highly reliable answers.
You can easily understand the Exam pattern by referring to the PDF of the Maths solutions.
The RS Aggarwal solution is highly reliable to score high marks and concept clearance.
It makes it easy to choose study material wisely, as all the information required to learn the concept is in one place.

FAQs on RS Aggarwal Solutions Class 7 Chapter-7

1. What is a linear equation in one variable as explained in RS Aggarwal Class 7 Chapter 7?

A linear equation in one variable is an algebraic statement of equality involving a single variable with the highest power of 1. As per Chapter 7 of RS Aggarwal, it is typically written in the form ax + b = c, where 'x' is the variable and 'a', 'b', and 'c' are constant numbers. The main goal is to find the specific value of the variable 'x' that makes the statement true.

2. Why are RS Aggarwal Solutions for Class 7 Maths Chapter 7 useful for exam preparation?

The RS Aggarwal solutions for Chapter 7 are highly beneficial for exam preparation because they offer:

Comprehensive Coverage: A wider range of question types than the standard textbook, preparing students for any problem they might encounter.
Step-by-Step Methodology: Each solution is broken down into logical steps, making it easy to understand the correct method for solving equations.
Concept Reinforcement: Consistent practice with these solutions helps build a strong foundation in algebraic concepts, which is crucial for success in higher classes.

3. What is the first step to solving a linear equation from RS Aggarwal Chapter 7?

The first step in solving a linear equation is to simplify it by collecting like terms. This means you should bring all terms containing the variable (e.g., 'x', 'y') to one side of the equals sign (=) and all the constant numbers to the other side. This is typically done using the transposition method, which prepares the equation for finding the variable's value.

4. How do Vedantu's RS Aggarwal solutions for Chapter 7 cover all the exercises?

Vedantu's solutions for RS Aggarwal Class 7 Chapter 7 are prepared by expert teachers to provide complete coverage of all exercises, such as Exercise 7A and 7B. Each question is solved with a detailed, easy-to-follow explanation, ensuring that students not only find the correct answer but also master the underlying concepts and problem-solving techniques for the 2025-26 academic year.

5. What is the 'transposition method' for solving linear equations, and why is getting the sign right so important?

The transposition method is a technique where you move a term from one side of the equation to the other. When you transpose a term, its operation reverses: addition becomes subtraction, subtraction becomes addition, multiplication becomes division, and vice-versa. Getting the sign right is absolutely critical because a single mistake (e.g., forgetting to change a '+' to a '–') will result in a completely incorrect answer. Mastering this is key to solving linear equations accurately.

6. After finding a solution for a linear equation, how can I verify if my answer is correct?

To verify your answer, you must substitute the value you found for the variable back into the original equation. Then, calculate the value of the Left-Hand Side (LHS) and the Right-Hand Side (RHS) independently. If your solution is correct, the LHS will equal the RHS. This checking process is an essential skill to ensure accuracy in exams.

7. How can I apply the concepts from RS Aggarwal Chapter 7 to solve real-life word problems?

To apply these concepts to word problems, you should follow a clear process:

Identify the Unknown: Read the problem to figure out what you need to find and represent it with a variable, like 'x'.
Formulate the Equation: Translate the words and relationships in the problem into a mathematical linear equation.
Solve and Interpret: Solve the equation for 'x' and then state the answer in the context of the original problem (e.g., 'the age is 12 years').

8. How do the problems in RS Aggarwal for Linear Equations compare to those in the NCERT textbook?

While the NCERT textbook provides the essential foundation for Linear Equations, RS Aggarwal enhances learning by offering a larger volume and greater variety of practice questions. The problems in RS Aggarwal often increase in difficulty, which helps students build advanced problem-solving skills and confidence. It serves as an excellent supplement for students aiming to master the topic beyond the basic syllabus.