CLASS 09 · CHAPTER 04

Linear Equations in Two Variables
Practice Questions

20 curated NCERT questions to test your problem-solving skills. Click on "Show Solution & Answer" to check step-by-step working.

20Questions

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Q1MCQ1 Mark

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

Q2MCQ1 Mark

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

Q3MCQ1 Mark

Graph of x = 3 is a line parallel to:

Q4MCQ1 Mark

Equation of x-axis is:

Q5Assertion-Reason1 Mark

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

Q6Assertion-Reason1 Mark

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

Q7Short Answer2 Marks

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

Q8Short Answer2 Marks

Find four solutions for 2x + y = 7.

Q9Short Answer2 Marks

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

Q10Short Answer2 Marks

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

Q11Short Answer2 Marks

Draw graph of x + y = 4.

Q12Long Answer3 Marks

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

Q13Long Answer3 Marks

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

Q14Long Answer3 Marks

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

Q15Long Answer3 Marks

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

Q16Case Study4 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.

Q17Case Study4 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.

Q18PYQ5 Marks

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

Q19PYQ5 Marks

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

Q20PYQ5 Marks

Linear Equations in Two Variables Practice Questions