CBSE Class 9 Mathematics Linear Equations VBQs

Read the CBSE Class 9 Mathematics Linear Equations VBQs below. Find downloadable Value Based Questions (VBQs) created for 2026-27 to support Class 9 Mathematics students in learning moral values. These resources follow standard assessment guidelines from CBSE, NCERT, and KVS.

Value Based Questions: Class 9 Mathematics Chapter 4 Linear Equations In Two Variables

Check out these Value Based Questions for Chapter 4 Linear Equations In Two Variables designed for Class 9 learners. They teach you how textbook ideas apply to real-world situations. Reviewing these competency-based questions with answers boosts your Class 9 exam scores and moral growth.

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.
 

Free study material for Mathematics

Ethics & VBQs Study Guide for Class 9 Mathematics

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

Explore important Value-Based Questions (VBQs) for Chapter 4 Linear Equations In Two Variables structured according to the latest CBSE guidelines. These exercises help Class 9 learners grasp essential moral insights. Reviewing these solved answers builds analytical thinking and raises scores in Mathematics tests.

Core Moral Questions & Answers for Chapter 4 Linear Equations In Two Variables

Developed strictly from the NCERT book for Class 9 Mathematics, these solved sets offer reliable guidance. Once you finish the primary exercises, explore our detailed NCERT solutions for Class 9 Mathematics to review expert-written answers.

Boost Concept Clarity in Class 9 Mathematics

Regular practice with these Class 9 Mathematics value-based questions strengthens conceptual clarity. Discover extra study aids for Chapter 4 Linear Equations In Two Variables on our platform to support your learning. Mastering these ethical principles guarantees better grades and reveals real-world applications of Mathematics.

FAQs

Where can I find 2026-27 CBSE Value Based Questions (VBQs) for Class 9 Mathematics Chapter 4 Linear Equations In Two Variables?

The latest collection of Value Based Questions for Class 9 Mathematics Chapter 4 Linear Equations In Two Variables is available for free on StudiesToday.com. These questions are as per 2026 academic session to help students develop analytical and ethical reasoning skills.

Are answers provided for Class 9 Mathematics Chapter 4 Linear Equations In Two Variables VBQs?

Yes, all our Mathematics VBQs for Chapter 4 Linear Equations In Two Variables come with detailed model answers which help students to integrate factual knowledge with value-based insights to get high marks.

What is the importance of solving VBQs for Class 9 Chapter 4 Linear Equations In Two Variables Mathematics?

VBQs are important as they test student's ability to relate Mathematics concepts to real-life situations. For Chapter 4 Linear Equations In Two Variables these questions are as per the latest competency-based education goals.

How many marks are usually allocated to VBQs in the CBSE Mathematics paper?

In the current CBSE pattern for Class 9 Mathematics, Chapter 4 Linear Equations In Two Variables Value Based or Case-Based questions typically carry 3 to 5 marks.

Can I download Mathematics Chapter 4 Linear Equations In Two Variables VBQs in PDF for free?

Yes, you can download Class 9 Mathematics Chapter 4 Linear Equations In Two Variables VBQs in a mobile-friendly PDF format for free.