ANNUAL EXAM PYQS · CHAPTER 04

Linear Equations in Two Variables
CBSE Most Repeated PYQs

Solve official Class 9 Annual Examination Questions for Linear Equations in Two Variables. Click on options to test yourself, or click "Show Solution & Answer" for complete step-by-step working.

Q1Annual Exam 2024MCQ
1 Mark

The linear equation 2x + 3y = 6 has how many solutions?

Q2Annual Exam 2023MCQ
1 Mark

If (2, 0) is a solution of 2x + 3y = k, then k is:

Q3CBSE Pattern PYQMCQ
1 Mark

Graph of x = 3 is a line parallel to:

Q4Annual Exam 2022MCQ
1 Mark

Equation of x-axis is:

Q5CBSE Model PYQAssertion-Reason
1 Mark

Assertion (A): Graph of y = 2x passes through origin. Reason (R): Every equation y = mx passes through (0, 0).

Q6Annual Exam 2021Assertion-Reason
1 Mark

Assertion (A): x = 2, y = 3 is a solution of x + y = 5. Reason (R): Satisfying both variables renders LHS equal to RHS.

Q7Annual Exam 2024Short Answer
2 Marks

Express 2x + 3y = 9.35̅ in form ax + by + c = 0 and state a, b, c.

Q8Annual Exam 2023Short Answer
2 Marks

Find four solutions for 2x + y = 7.

Q9CBSE Pattern PYQShort Answer
2 Marks

Check if (0, 2) and (2, 0) are solutions of x - 2y = 4.

Q10Annual Exam 2022Short Answer
2 Marks

Find k if x = 2, y = 1 is solution of 2x + 3y = k.

Q11CBSE Model PYQShort Answer
2 Marks

Draw graph of x + y = 4.

Q12Annual Exam 2021Long Answer
3 Marks

Taxi fare: ₹8 for 1st km, ₹5/km after. Write linear equation.

Q13Annual Exam 2024Long Answer
3 Marks

Yamini & Fatima contribute ₹100 together for PM Fund. Write equation.

Q14Annual Exam 2023Long Answer
3 Marks

Fahrenheit F = (9/5)C + 32. Find F for 30°C and C for 95°F.

Q15CBSE Pattern PYQLong Answer
3 Marks

Solve 2x + 1 = x - 3 and represent on number line and Cartesian plane.

Q16Annual Exam 2022Case Study
4 Marks

Case Study Scenario: Force y and acceleration x with mass 5 kg (F = ma). Question: Write equation and find force for acceleration 2 m/s².

Q17CBSE Model PYQCase Study
4 Marks

Case Study Scenario: Water flows into tank at 4 L/min. Volume V and time t. Question: Write equation and volume after 15 mins.

Q18Annual Exam PYQPYQ
5 Marks

If (3, 4) lies on graph of 3y = ax + 7, find a.

Q19Annual Exam PYQPYQ
5 Marks

Find axes intercepts of 3x + 2y = 12.

Q20Annual Exam PYQPYQ
5 Marks

Find area of triangle formed by 2x - y = 4 and axes.