## NCERT Solutions for Class 8 Chapter 2 Maths Linear Equations in One Variable - FREE PDF Download

## FAQs on NCERT Solutions Class 8 Maths Chapter 2 Linear Equations in One Variable

**1. Give an example of an equation that is not linear but can be reduced to a linear form.**

Sometimes we come across equations that are not linear as per the definition of linear equations but can be reduced to a linear form and then the method of solving linear equations can be applied to them to solve them. The example below illustrates one such equation and how to solve it:

(X + 1)/(2x + 6) = 3/8

To reduce this nonlinear equation into a linear equation we multiply both sides by the denominator of LHS which is 2x + 6.

(X + 1)/(2x + 6) * (2x + 6) = 3/8 * (2x + 6)

X + 1 = 6x + 18/8 - This is a linear equation now. We can solve it by multiplying both sides with LCM of denominators which is 8

8 * (x + 1) = 8 * (6x + 18/8)

8x + 8 = 6x + 18

Now moving all variable to LHS and all constant to RHS we get:

8x - 6x = 18 - 8

2x = 10

X = 5

**2. Mention some of the important features of a linear equation.**

A linear equation is characterized by the following key properties:

The highest power of the variable involved in a linear equation is 1.

The linear equation can have one or two variables in it.

A linear equation has an equality sign. The expression on the left side of the equality is called LHS (left-hand side), and the expression on the right side of the equality sign is termed as RHS (right-hand side).

The two expressions, LHS and RHS, are equal for only certain values of the variables. These values of the variables are the solutions of the linear equation.

The points of a linear equation with just one variable can be marked on the number line.

**3. What are the sub-topics covered in Chapter 2 of Class 8 Maths?**

The concepts covered in Chapter 2 of Class 8 Maths are :

2.1 Introduction

2.2 Solving equations which have a Linear expression on one side and numbers on the other side

2.3 Some applications

2.4 Solving equations having the variables on both sides

2.5 Some more applications

2.6 Reducing equations to a simpler form

2.7 Equations reducible to linear form.

**4. How many exercises are there in Chapter 2 of Class 8 Maths?**

Chapter 2, “Linear Equations In One Variable”, consists of 2 exercises -

Exercise 2.1 contains 12 questions.

Exercise 2.2 contains 16 questions.

Students can practise all the questions in the NCERT solutions designed by the experts at Vedantu to get well versed in this chapter. Download these solutions on the Vedantu website or the app for free of cost to prepare for the exams. These questions will help the students to secure a perfect score in the exams.

**5. Do I need to practice all the questions given in NCERT Solutions?**

Yes, you need to practice all the questions given in the NCERT Solutions. NCERT Solutions prepared by the experts at Vedantu will help the students clear all their doubts in the chapter and practice more to get a perfect score in the exam. You can download the solutions of this chapter by clicking on NCERT Solutions for Class 8 Maths Chapter 2 to ace your exams. These solutions are available on Vedantu (vedantu.com) free of cost. You can download it through the Vedantu app as well.

**6. Are NCERT Solutions Chapter 2 Class 8 Maths important for your exams?**

Undoubtedly, NCERT Answers Chapter 2 Class 8 Mathematics are significant for your examinations because they include the majority of the problems. Vedantu's NCERT Answers Chapter 2 Class 8 Mathematics assist students in gaining a thorough understanding of all subjects. These solutions assist students in revising and practising all of the issues handled by professionals before to tests.

**7. Where to download NCERT Solutions for Chapter 2 Class 8 Maths?**

Students of Class 8 can download the NCERT Solutions for Chapter 2 using the link NCERT Solutions for Class 8 Maths Chapter 2 from Vedantu’s app or website (vedantu.com). Since the solutions are based on the CBSE syllabus, students will be able to practice all the problems. The experts at Vedantu prepare these solutions, keeping in mind the students so that they can excel in their exams.

8. How can you tell if an equation is NOT linear in one variable?

The equation has multiple variables (e.g., 2x + y = 5).

The variable has an exponent higher than 1 (e.g., x^2 + 3x = 4).

It's a constant expression with no variable (e.g., 5 + 7 = 12).

9. What are the steps that are involved in solving a Ch 2 Maths Class 8 linear equation?

Step 1: Identify like terms

Combine terms on one side of the equation that have the same variable

For example 3x + 5x becomes 8x.

Step 2: Isolate the variable

Using addition, subtraction, multiplication, or division (on both sides equally!), get the variable by itself on one side of the equation.

Step 3: Simplify

If there's a coefficient multiplying the variable, simplify by dividing both sides by that number.