RD Sharma Class 8 Solutions Chapter 9 Free PDF
FAQs on RD Sharma Class 8 Solutions Chapter 9 - Linear Equation In One Variable (Ex 9.3) Exercise 9.3 - Free PDF
1. How do the RD Sharma Solutions for Chapter 9, Exercise 9.3 help in understanding linear equations?
The RD Sharma Solutions for Exercise 9.3 provide detailed, step-by-step breakdowns for complex problems. They clarify advanced concepts like handling fractions and variables on both sides of an equation through methods like cross-multiplication and simplification. Following these solutions helps students understand the logical flow from a complex problem to a simple solution, reinforcing the core theory learned in class.
2. What types of problems are covered in RD Sharma Class 8 Chapter 9, Exercise 9.3?
Exercise 9.3 primarily focuses on linear equations that require simplification before they can be solved. Key problem types include:
- Equations with variables on both sides that involve brackets.
- Equations with fractional coefficients that need to be cleared by finding the LCM.
- Complex word problems based on numbers, ages, or geometry that must be translated into a linear equation.
3. What is the correct method for solving questions in Exercise 9.3 that involve fractions?
To correctly solve linear equations with fractions as per the methods shown in RD Sharma solutions, you should follow these steps:
- First, identify the denominators of all fractional terms in the equation.
- Calculate the Lowest Common Multiple (LCM) of these denominators.
- Multiply every single term of the equation (on both sides) by the LCM. This eliminates the fractions.
- Simplify the resulting equation and use the transposition method to group variable terms on one side and constant terms on the other.
- Solve for the variable to find the final answer.
4. Why is it important to verify the solution after solving a linear equation from RD Sharma Exercise 9.3?
Verification is a critical final step that confirms the accuracy of your answer. By substituting the value of the variable you found back into the original equation, you can check if the Left Hand Side (LHS) equals the Right Hand Side (RHS). For the complex problems in Exercise 9.3, this practice is crucial for catching calculation errors, especially those made during transposition or simplification, thereby building confidence in your final result.
5. What is a common mistake to avoid when transposing terms in the equations of Exercise 9.3?
The most common mistake is making an incorrect sign change. According to the transposition rule, when a term moves from one side of the equals sign to the other, its mathematical operation must be inverted. A positive term becomes negative, and a multiplication becomes a division. The detailed solutions clearly demonstrate this principle in every step, helping you to master the correct application and avoid this frequent error.
6. How can the methods from RD Sharma Chapter 9 solutions be applied to solve real-life word problems?
The problem-solving method is a systematic process. First, carefully read the problem to identify the unknown quantity and represent it with a variable, like 'x'. Next, translate the statements and conditions of the problem into a mathematical linear equation. Then, solve this equation using the standard techniques shown in the solutions. Finally, and most importantly, interpret the value of 'x' in the context of the original problem to give a meaningful answer.
7. Are the methods shown in Vedantu's RD Sharma solutions for Exercise 9.3 aligned with the CBSE syllabus for 2025-26?
Yes, the problem-solving techniques and step-by-step methods provided in our RD Sharma solutions are fully aligned with the Class 8 CBSE curriculum for the 2025-26 academic year. They follow the prescribed methodologies for solving linear equations in one variable, ensuring that you are preparing effectively for your school examinations.
