Class 9 Mathematics – Chapter 4: Linear Equations in Two Variables (MCQ Mock Test)

Strengthen Your Algebra Skills with the Linear Equations MCQ Mock Test!

Can you represent equations graphically or find their solutions easily? Test your understanding with this MCQ-based mock test on Linear Equations in Two Variables, designed as per the latest Class 9 Maths syllabus. This test includes all important concepts — standard form of linear equations, plotting their graphs, finding solutions, and interpreting parallel and intersecting lines.

Each question helps you apply mathematical reasoning, enhance visualization skills, and gain confidence for exams. Whether you’re preparing for school tests or revising for finals, this mock test is the perfect way to build a strong foundation for algebra and coordinate geometry.

Attempt now and make solving Linear Equations in Two Variables simpler than ever!

1. The equation x = 5 in two variables can be written as

 
 
 
 

2. The graph of x = ± a is a straight line parallel to the

 
 
 
 

3. If point (3, 0) lies on the graph of the equation 2x + 3y = k, then the value of k is

 
 
 
 

4. Any point on the line y = x is of the form

 
 
 
 

5. The graph of the linear equation 3x + 5y = 15 cuts the x-axis at the point

 
 
 
 

6. If the linear equation has solutions (– 3, 3), (0, 0), (3, – 3), then equation is

 
 
 
 

7. A linear equation in two variables is of the form ax + by + c = 0, where

 
 
 
 

8. Assertion (A): A linear equation 3x + 5y =2 has infinitely many solutions.
Reason (R): A linear equation in two variables has many infinitely solutions.

 
 
 
 

9. Assertion (A): x = 4 is a line parallel to x-axis.
Reason (R): The equation of the line parallel to the y-axis is x = a.

 
 
 
 

10. Find the value of b, if x = 5, y = 0 is a solution of the equation 3x + 5y = b.

 
 
 
 

11.

If (2, 0) is a solution of the linear equation 2x + 3y = k, then find the value of k.

 
 
 
 

12. How many linear equations in x and y can be satisfied by x = 1 and y = 2?

 
 
 
 

13. Side of an equilateral triangle is x. If the perimeter is 30 cm, find the value of x.

 
 
 
 

14. Any solution of the linear equation 2x + 0y = 9 in two variables, is of the form

 
 
 
 

15. If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation:

 
 
 
 

16. The equation x = 5 in two variables can be written as

 
 
 
 

17. For one of the solutions of the equation ax + by + c = 0, x is negative and y is positive then surely a portion of line lies in the

 
 
 
 

18. Find b, if linear equation 3bx – y = 9 has one solution as (3, 3).

 
 
 
 

19. The solution of the linear equation x + 2y = 8 which represents a point on x-axis is (0, 4).

 
 

20. x = 5, y = –2 is a solution of the linear equation

 
 
 
 

21. The linear equation 3y – 5 = 0, represented as ax + by + c = 0, h

 
 
 
 

22. At what point the graph of the linear equation 2x + 5y = 10 cuts the y-axis?

 
 
 
 

23. The equation 2x + 5y = 7 has a unique solution, if x, y are

 
 
 
 

24. The equation of x-axis is of the form

 
 
 
 

25. Assertion (A): x + y = 6 is the equation of a line passing through the origin.
Reason (R): y = mx is the equation of a line passing through the origin.

 
 
 
 

26. Let y varies directly as x. If y = 24, when x = 8, then the linear equation is

 
 
 
 

27. For what value of k, x = 2 and y = –1 is a solution of x + 3y – k = 0.

 
 
 
 

28. Assertion (A): There are infinite number of lines passing through (2, 5).
Reason (R): A linear equation in two variables has unique solution.

 
 
 
 

29. How many solution(s) of the linear equation 2x + 3y = 18 has?

 
 
 
 

30. The graph of the linear equation y = 2x passes through the point

 
 
 
 

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