CBSE Class 9 Mathematics Linear Equations VBQs

Read and download the CBSE Class 9 Mathematics Linear Equations VBQs. Designed for the 2025-26 academic year, these Value Based Questions (VBQs) are important for Class 9 Mathematics students to understand moral reasoning and life skills. Our expert teachers have created these chapter-wise resources to align with the latest CBSE, NCERT, and KVS examination patterns.

VBQ for Class 9 Mathematics Chapter 4 Linear Equations In Two Variables

For Class 9 students, Value Based Questions for Chapter 4 Linear Equations In Two Variables help to apply textbook concepts to real-world application. These competency-based questions with detailed answers help in scoring high marks in Class 9 while building a strong ethical foundation.

Chapter 4 Linear Equations In Two Variables Class 9 Mathematics VBQ Questions with Answers

 

LINEAR EQUATION
 
Question. In a village primary school enrolment of girls has doubled this year as compared to last year. Considering this year’s enrolment as ‘y’ and previous year’s enrollment as x :
 
(a) Form a linear equation for this information.
 
(b) If previous year’s enrolement was 35 find this year’s enrollment.
 
(c) What is the value depicted here ?
Answer: (a) y=2x
 
    (b) y=2×35=70
 
    (c) Freedom, Gender equality.
Question. On her birthday Sonia distributed chocolates in an orphanage. She gave 5 chocolates to each child and 20 chocolates to adults. Taking number of children as x and total chocolates distributed as y.
 
(a) Form a linear equation.
 
(b) If she distributed 145 chocolates how many children are there in the orphanage ?
 
(c) Explain the value depicted here by Sonia.
Answer:  (a) y=5x+20
 
     (b) 145=5x+20
          = 125=5x
           = x=25
 
     (c) Happiness, Helpfulness
Question. In a housing society people decided to do Rainwater harvesting. Rainwater is collected in the underground tank at the rate of 30 cm³/ sec. Taking volume of water collected in x sec as y cm³.
 
(a) Form a linear equation.
 
(b) Write it in standard form as ax+by+c=0.
 
(c) Which value is promoted by the members of this society ?
Answer: (a) y=30x
 
    (b) 30x–y+0=0
 
    (c) Environmental protection, Co-operation.
Question. Aman hires an auto rickshaw to cover a certain distance. The fare is Rs. 10 for first km and Rs. 7 for subsequent kilometers. Taking total distance covered as x km and total fare as y :
 
(a) Write a linear equation for this.
 
(b) The man covers a distance of 16 kmand gave Rs. 120 to the auto driver.Auto driver said ‘‘It is not the correct amount’’and returned him the balance. Find the correct amount paid back by the autodriver.
 
(c) Which value is depicted here by the autodriver ?​​​​​​​
Answer:  (a) y=10+7(x–1)
       =10+7x–7
        y=7x+3
   
    (b) y=7×16+3
         =112+3=115 Rs. Amt. Paid back = 120–115 = 5 Rs.
 
     (c) Honesty, Truthfulness.
Question. In a ‘‘Cleanliness drive’’ residents of certain locality joined together to clean neighbourhood area. Participation of children was 20 more than that by adults. Taking x as number of adults and y as number of children.
 
(a) Form a linear equation.
 
(b) What values are depicted here ?​​​​​​​
Answer:  (a) y=x+20
 
     (b) Co-operation, Happiness, Sincerity, Environmental protection.
Question. Rehman and Prakash together contributed Rs. 500 towards Prime Minister Relief fund.
 
(a) Write the linear equation for this.
 
(b) Write the values involved in it.​​​​​​​
Answer:  (a) x+y=500
 
     (b) Co-operation, Helpfulness
Question. Draw the graph of the linear equation 2(x+1)=3(y–1)–4 and check whether point (–3, +1) lies on the line ?
    Which value is depicted here ?​​​​​​​
Answer: (a) Equation
          2(x+1)=3(y–1)–4
           =2x+2=3y–3–4
           =2x–3y+9=0
    Point (–3, +1) lies on it as
           2×(–3)–3(+1)+9 = –6 – 3+9
           = –9 + 9 = 0 = RHS.
 
    (b) Curiosity, Truthfulness, Scientific temper.
Question. In a class, teacher asked about the equ. of line passing through the origin with options as :
    y+x=1, x+3y=2, x+y=0
   Rehana answered it correctly as x+y=0.
   Choose the correct value :
(a) Honesty     (b) Equality    (c) Truthfulness   (d) Sincerity
Answer:  (c) Truthfulness
 
Question.
                     CBSE%20Class%209%20Mathematics%20Linear%20Equations%20VBQs%201.PNG
(a) In the above fig. (i) & (ii) find the values of a & b.
 
(b) Is a=b ? Justify your answer.
 
(c) What is the value depicted here ?​​​​​​​
Answer:  (a) a=3, b=3
 
     (b) Yes
 
     (c) Scientific temper, Truthfulness, Knowledge.
Question. (a) Every six months price of petrol increases at the rate of Rs. 4 per litre. Taking price of petrol in Dec. 2011 as ‘x’ and present price of petrol as ‘y’ form a linear equation showing amount spent on petrol in Dec. 2012.
 
(b) Due to continuous rise in the petrol price people are shifting towards CNG in place of petrol whose price increases at a rate of Rs. 3 per litre in a year. Form a linear equation taking price of CNG in Dec. 2011 as ‘a’ and in Dec. 2012, as ‘b’.
 
(c) Which fuel will you prefer and why ?
 
(d) Which value is depicted by using CNG over petrol ?
Answer: (a) y=x+8
 
      (b) b=a+3
 
      (c) CNG, because CNG is cheaper than petrol.
 
      (d) Environmental protection.
 
Chapter 01 Number System
CBSE Class 9 Mathematics Number System VBQs
Chapter 02 Polynomials
CBSE Class 9 Mathematics Polynomials VBQs
Chapter 03 Coordinate Geometry
CBSE Class 9 Mathematics Coordinate Geometry VBQs
Chapter 04 Linear Equations In Two Variables
CBSE Class 9 Mathematics Linear Equations VBQs
Chapter 08 Quadrilaterals
CBSE Class 9 Mathematics Quadrilaterals VBQs
Chapter 09 Circles
CBSE Class 9 Mathematics Circles VBQs
Chapter 11 Surface Areas and Volumes
CBSE Class 9 Mathematics Surface Areas And Volume VBQs
Chapter 12 Statistics
CBSE Class 9 Mathematics Statistics VBQs
VBQs for Class 9 Mathematics
CBSE Class 9 Mathematics Value Based Questions
~ Class 9 Mathematics (Old Chapters)
CBSE Class 9 Mathematics Areas Of Parallelograms And Triangles VBQs
CBSE Class 9 Mathematics Construction VBQs
CBSE Class 9 Mathematics Probability VBQs

Important Practice Resources for Class 9 Mathematics

VBQs for Chapter 4 Linear Equations In Two Variables Class 9 Mathematics

Students can now access the Value-Based Questions (VBQs) for Chapter 4 Linear Equations In Two Variables as per the latest CBSE syllabus. These questions have been designed to help Class 9 students understand the moral and practical lessons of the chapter. You should practicing these solved answers to improve improve your analytical skills and get more marks in your Mathematics school exams.

Expert-Approved Chapter 4 Linear Equations In Two Variables Value-Based Questions & Answers

Our teachers have followed the NCERT book for Class 9 Mathematics to create these important solved questions. After solving the exercises given above, you should also refer to our NCERT solutions for Class 9 Mathematics and read the answers prepared by our teachers.

Improve your Mathematics Scores

Daily practice of these Class 9 Mathematics value-based problems will make your concepts better and to help you further we have provided more study materials for Chapter 4 Linear Equations In Two Variables on studiestoday.com. By learning these ethical and value driven topics you will easily get better marks and also also understand the real-life application of Mathematics.

Where can I download latest CBSE VBQs for Class 9 Mathematics Chapter 4 Linear Equations In Two Variables

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What are VBQs for Class 9 Mathematics Chapter 4 Linear Equations In Two Variables

Value Based Questions (VBQs) for Class 9 Mathematics Chapter 4 Linear Equations In Two Variables help to test the ability of students to apply learnings to various situations in life.