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Important Questions for CBSE Class 9 Maths Chapter 4 - Linear Equations in Two Variables

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Last updated date: 09th Apr 2024
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Download Important Questions for Class 9 Maths Chapter 4 - Linear Equations in Two Variables - Free PDF

Vedantu has important questions for CBSE Class 9 Mathematics Chapter 4 - Linear Equations in Two Variables. These questions are developed in accordance with the most recent NCERT Curriculum Syllabus and are commonly asked in many sorts of examinations. These questions and answers will help students discover distinct patterns of conceptual issues that may appear on the final exam.


Download these Important Questions for Class 9 Maths Chapter 4 with Solutions PDF for free and use them to practice. Prepare the chapter well by using the solution format designed by the experts. You can also download NCERT Solutions for Class 9 Maths to help you to revise the complete syllabus and score more marks in your examinations. Students can also avail of NCERT Solutions Class 9 Science from our website. Besides, find CBSE Solutions to get more understanding of various subjects.


Download CBSE Class 9 Maths Important Questions 2024-25 PDF

Also, check CBSE Class 9 Maths Important Questions for other chapters:

CBSE Class 9 Maths Important Questions

Sl.No

Chapter No

Chapter Name

1

Chapter 1

Number Systems

2

Chapter 2

Polynomials

3

Chapter 3

Coordinate Geometry

4

Chapter 4

Linear Equations in Two Variables

5

Chapter 5

Introduction to Euclid's Geometry

6

Chapter 6

Lines and Angles 

7

Chapter 7

Triangles

8

Chapter 8

Quadrilaterals

9

Chapter 9

Areas of Parallelograms and Triangles

10

Chapter 10

Circles

11

Chapter 11

Constructions

12

Chapter 12

Heron’s Formula

13

Chapter 13

Surface Areas and Volumes

14

Chapter 14

Statistics

15

Chapter 15

Probability


Topics Covered in CBSE Class 9 Maths Chapter 4 - Linear Equations in Two Variables are as follows:

  • Linear Equations

  • Solution of a Linear Equation

  • Graph of a Linear Equation In Two Variables

  • Equations of Lines Parallel to the x-axis and y-axis


Important Questions from Linear Equations in Two Variables (Short, Long & Practice)

Short Answer Type Questions

1. Linear equation x – 2 = 0 is parallel to which axis?

2. If (1, -2) is a solution of the equation 2x – y = p, then find the value of p.

Solution.

3. Express x/4 – 3y = – 7 in the form of ax + by + c = 0.


Long Answer Type Questions

1. If (2,3) and (4, 0) lie on the graph of equation ax + by = 1. Find the value of a and b. Plot the graph of the equation obtained.  

2. Draw the graphs of the following equations on the same graph sheet: x = 4,x = 2,y = l and y – 3 = 0

3. Represent 2x + 3y = 6 by a graph. Write the coordinates of the point where it meets: (a) x-axis (b) y-axis


Practice Questions

1. Find the two solutions of the linear equation 2x – 3y = 12.

2. Find the value of m if (5,8) is a solution of the equation 11 x-2y = 3m, then find one more solution of this equation.

3. On the graph paper draw the straight line 3x – 2y = 4 and x + y – 3 = 0. Also, find their point of intersection on the graph.

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Class 9 Maths Chapter 4 Linear Equations in Two Variables Important Questions: Summary

As mentioned earlier, the 4th chapter concentrates on the linear equations in two variables. The students will learn how an equation is formed using two variables and how they are solved. These new concepts will be used later in the advanced classes to understand the concepts of Cartesian coordinates and higher equations. To develop the concepts in this class even better, follow the Important Questions for Class 9 Maths Chapter 4. The solutions are also provided for the questions.


These questions are prepared in accordance with the principles covered in the chapter. Students will learn how to employ these concepts in new and sophisticated ways by doing these questions. As a result, the primary goal of teachers is to demonstrate how formulae and concepts may be utilised to look forward and solve new issues. Teachers are aware of the kind of questions that will be asked on final examinations. Some will be simple, while others will be mentally hard. This is where solving Linear Equations in Two Variables Class 9 Crucial Questions will come in handy. Discover a few additional types of questions and how to answer them fast.


The 4th chapter will teach how one variable is used to form an equation. It will also describe the different terms used in a linear equation. You will then proceed to learn how an equation is formed using two variables. Find out the difference between the linear equation of one variable and two variables. Check out Chapter 4 Maths Class 9 Important Questions to understand the new concepts even better.


How Can You Use Chapter 4 Maths Class 9 Important Questions?

Apart from studying the chapter and solving the exercise questions, adding these important questions for Class 9 Maths Chapter 4 to the study material is ideal. Let us check how you can use these questions for your betterment.


Solving Important Questions for Class 9 Maths Chapter 4 to Gain Another Perspective

The exercise-based questions are solved by all the students. What if you want to learn how different questions are formed for this chapter? This is where downloading these important questions can help you find out the different formats based on the same concepts taught in the chapter.


Answering these new questions will help you develop a new perspective to tackle the exam questions. You can use the solution provided to check how the teachers have formulated the approaches to solve these questions. Hence, your conceptual development will be a step ahead of the competition.


Easy Recapitulation of the Concepts

You can use the Class 9 Maths Chapter 4 Important Questions as a platform to recapitulate the new concepts you have learned in this chapter. Solving the same exercise questions might not give you the thrill. You will need the essence of these new questions to intellectually challenge your problem-solving skills. Find out your preparation level by answering these questions. You can also refer to the solution to learn how to solve these problems better.


Faster Completion of Preparation

How can you find out whether you are done with the preparation of a chapter? Use the Important Questions of Linear Equations in Two Variables Class 9 to find out whether you can solve them or not. If yes, then you are good to go. If not, then proceed to the solution section. Find out how the teachers have designed the solution and learn the chapter again efficiently.


Key Features of Important Questions CBSE Class 9 Maths Chapter 4 - Linear Equations in Two Variables

  • All the important questions are curated as per the exam point of view to help students score better.

  • Solutions are explained in a step-by-step manner for all questions.

  • All solutions are easy to understand and learn as they are clearly written by subject experts to match the curriculum.

  • These important questions help in developing a good conceptual foundation for students, which is important in the final stages of preparation for board and competitive exams.

  • These solutions are absolutely free and available in PDF format.


Conclusion

Key Concerns CBSE Class 9 Mathematics Chapter 4 Linear Equations in Two Variables is a valuable resource for students studying for the Class 9 Test. We have provided problems with solutions from highly significant areas covered by the NCERT Class 9 Linear Equations in Two Variables Syllabus. Students will also get an understanding of the kind of questions and methods used in the final test.


Important Related Links for CBSE Class 9 

FAQs on Important Questions for CBSE Class 9 Maths Chapter 4 - Linear Equations in Two Variables

1. How can You Find More Questions Based on Linear Equations for Class 9?

The best way to find different kinds of questions is by downloading the Important Questions for Class 9 Maths Chapter 4 with Solutions. You will find a list of questions that can be used to prepare for new formats and challenges before an exam.

2. Why Should I Prefer Vedantu for Important Questions Related to Linear Equations of Class 9?

Vedantu is a one-stop online portal for Mathematics for Class 9 Students. They find quality NCERT solutions for Mathematics and sample papers to solve. They also find the Class 9 Maths Chapter 4 Important Questions to make their foundation of concepts better.

3. Are important questions of Chapter 4 of Class 9 Maths important from the exam point of view? 

Yes, important questions of Chapter 4 of Class 9 Maths are important from an exam point of view as these questions will help you save your time and get accurate answers to all the questions. You can prepare from these questions a day before your exam and cross-check all the solutions so as not to write wrong answers in your exams. The solutions are accurate, and you can rely on them to even understand the right method to solve your problems. The important questions are available free of cost on the Vedantu website and the Vedantu app.

4. Give me a summary of exercises present in Chapter 4 of Class 9 Maths.

It has the following topics; Introduction, Linear Equation, Solution Of Linear Equations, Graphs In Two Variables, Equations To Lines Parallel To X And Y-axis. Visit the official Vedantu website for additional details. There are important questions in this chapter that will assist you to pass your tests. These answers will cover all of the major themes that have been compiled from the exam's perspective. These questions are available for download and storage on your computer.

5. Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:

 x –(y/5)–10 = 0

This equation x –(y/5)-10 = 0 can also be written as 

Comparing 1x+(-⅕)y +(-10)=0 with ax+by+c=0

a= 1, b = -(⅕), c= -10

6. In the NCERT Solutions for Class 9 Maths linear equations in two variables, how many questions are there?

There are 16 questions in four exercises in NCERT Class 9 Maths Chapter 4 Linear Equations in Two Variables. All of these problems are paced in a way that allows students to gain a thorough understanding of linear equations, their solutions, and graphing. To arrange a time-based practise and preparation, divide these 16 questions into three categories: long replies, short level, and easy. NCERT Math solutions for Class 9 exercises on writing linear equations, finding solutions to linear equations, graphing linear equations, and graphical depiction of equations of lines parallel to the x and y axes are included in Chapter 4 linear equations in two variables.

7. Why must students build a strong foundation of Chapter 4 of Class 9 Maths?

The application of many algebraic ideas studied in higher grades requires the use of linear equations in two variables. Many real-life calculations, such as calculating profits, estimating values, and so on, are also vital to comprehend. As a result, students must have a solid foundation in this subject. The NCERT Solutions for Chapter 4 “Linear Equations in Two Variables” of Class 9 Maths carefully explain all of the key concepts so that students can easily absorb the knowledge.