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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 

11. 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.

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

21. 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.

 
 
 
 

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

 
 
 
 

23. 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

 
 
 
 

24.

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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