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.
1 Mark
1 Mark
If (2, 0) is a solution of 2x + 3y = k, then k is:
1 Mark
Graph of x = 3 is a line parallel to:
1 Mark
Equation of x-axis is:
1 Mark
Assertion (A): Graph of y = 2x passes through origin. Reason (R): Every equation y = mx passes through (0, 0).
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.
2 Marks
Express 2x + 3y = 9.35̅ in form ax + by + c = 0 and state a, b, c.
2 Marks
Find four solutions for 2x + y = 7.
2 Marks
Check if (0, 2) and (2, 0) are solutions of x - 2y = 4.
2 Marks
Find k if x = 2, y = 1 is solution of 2x + 3y = k.
2 Marks
Draw graph of x + y = 4.
3 Marks
Taxi fare: ₹8 for 1st km, ₹5/km after. Write linear equation.
3 Marks
Yamini & Fatima contribute ₹100 together for PM Fund. Write equation.
3 Marks
Fahrenheit F = (9/5)C + 32. Find F for 30°C and C for 95°F.
3 Marks
Solve 2x + 1 = x - 3 and represent on number line and Cartesian plane.
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.
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.
5 Marks
If (3, 4) lies on graph of 3y = ax + 7, find a.
5 Marks
Find axes intercepts of 3x + 2y = 12.
5 Marks
