MCQ on Linear Equations in Two Variables | Class 9 Mathematics Chapter 4

Welcome to MCQ Assam School. This post contains 30 MCQs (Multiple Choice Questions) on the Class 9 Mathematics Chapter 4. The name of the chapter is “Linear Equations in Two Variables”. So, basically, this post contains 30 MCQs on Linear Equations in Two Variables. These MCQs will help you to understand the chapter better and will also help you prepare for your exam.

The Chapter deals with the following topics:

1. Introduction to Linear Equations in Two Variables
2. Linear Equations
3. Solution of a Linear Equation
4. Solutions for linear equations with two variables
5. How linear equations differ from equations with one variable, etc

These MCQs can also act as a Mock Test. There are 30 MCQs. There are four options for each question. Out of the four options, only one option is correct. Choose the correct options for each question and click on the submit button to see the results. You can also, review your answers. For each right option, you will see a green check mark and for each wrong option, you will see a red cross mark. If the chosen option is wrong then a green check mark will appear near the right option. This way you will know the right answer.

Let’s begin.

30 MCQs on Linear Equations in Two Variables for Class 9 Maths Chapter 4

1. What is the general form of a linear equation in two variables?

A. x² + y² = 0 B. ax + by + c = 0 C. x + y = 1 D. x = y

2. How many solutions does a linear equation in two variables typically have?

A. One unique solution B. Infinitely many solutions C. Two solutions D. No solutions

3. In the equation 2x + 3y = 12, which of the following is a solution?

A. (1, 4) B. (3, 2) C. (2, 1) D. (5, 0)

4. What does a solution of a linear equation in two variables represent?

A. A single number B. A line C. An ordered pair of values (x, y) D. A point on the x-axis

5. Which of these is NOT a valid linear equation in two variables?

A. 2x + 3y = 4 B. x – 4 = 3y C. 4 = 5x – 3y D. x² + y = 5

6. In the equation x + 2y = 6, what is the value of y when x = 0?

A. 2 B. 3 C. 4 D. 5

7. What conditions must a, b, and c satisfy in the equation ax + by + c = 0?

A. a and b must be zero B. a and b are not both zero C. c must be zero D. a must be one

8. Which of these can be written as a linear equation in two variables?

A. x = 7 B. y = 2 C. x² = y D. x + y² = 5

9. If x = 2, y = 1 is a solution of 2x + 3y = k, what is the value of k?

A. 8 B. 7 C. 6 D. 5

10. In the equation 4x + 3y = 12, what is one solution when x = 0?

A. (0, 3) B. (0, 4) C. (0, 5) D. (0, 6)

11. When can an equation of form ax + b = 0 be considered a linear equation in two variables?

A. When it can be written as ax + 0y + b = 0 B. When x is zero C. When a is one D. When b is zero

12. In the statement “The cost of a notebook is twice the cost of a pen”, how would you set up the equation?

A. x = 2y B. y = 2x C. x = 2y D. 2x + y = 0

13. What is the first step in solving a linear equation in two variables?

A. Multiply both sides by zero B. Subtract all variables C. Choose a value for one variable D. Divide by the largest coefficient

14. Which transformation does NOT change the solution of a linear equation?

A. Adding the same number to both sides B. Multiplying one side by zero C. Dividing both sides by a variable D. Multiplying one side by a variable

15. What is unique about solving 2x + 5y = 0 when x = 0?

A. No solution exists B. y = 0 C. x = 5 D. y = 5

16. Given x + 2y = 6, what is the solution when y = 0?

A. x = 3 B. x = 6 C. x = 2 D. x = 4

17. Which statement about linear equations in two variables is correct?

A. They always have a unique solution B. They have no solutions C. They have infinitely many solutions D. They have exactly two solutions

18. How can the equation 4 = 5x – 3y be rewritten?

A. 5x – 3y – 4 = 0 B. 4x + 3y = 0 C. x + y = 4 D. 3x – 5y = 4

19. In 3y + 4 = 0, what is special about the solutions?

A. x can be any value, y is fixed B. y is always -4/3, regardless of x C. No solution exists D. Only one solution is possible

20. Which of these is NOT a valid way to write a linear equation in two variables?

A. 2x + 3y = 5 B. x = 3y C. πx + y = 9 D. x² + y = 5

21. If 2x + 5y = 0, what is one way to find a solution?

A. Set x = 1 B. Set x = 0 and solve for y C. Multiply both sides by 2 D. Divide by 5

22. In x + 2y = 6, what is the solution when x = 0?

A. y = 2 B. y = 3 C. y = 4 D. y = 5

23. What is a quick method to find solutions for linear equations?

A. Use complex algebra B. Guess randomly C. Take x = 0 or y = 0 and solve D. Multiply both sides by zero

24. In the equation 4x + 3y = 12, what is a solution when y = 0?

A. x = 2 B. x = 3 C. x = 4 D. x = 5

25. What is true about the equation x = y?

A. It has no solutions B. It has infinitely many solutions C. It has two solutions D. It has one solution

26. In the equation 2x + 5y = 0, what solution exists when x = 1?

A. y = 1 B. y = -2/5 C. y = 2 D. y = 0

27. How can the equation x = 3y be rewritten in standard form?

A. x – 3y = 0 B. x + 3y = 0 C. x – 3y = 0 D. 3x + y = 0

28. What characterizes the solutions of a linear equation in two variables?

A. They are always unique B. They are limited to two points C. They are infinitely many D. They always pass through the origin

29. In the context of linear equations, what does (3, 2) represent?

A. An ordered pair solution B. A line segment C. A variable definition D. A coefficient

30. Which transformation is allowed when solving linear equations?

A. Multiplying one side by zero B. Adding different numbers to each side C. Dividing by a variable D. Multiplying or dividing by the same non-zero number

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Related Posts

• MCQ on Number Systems | Class 9 Mathematics Chapter 1
• MCQ on Polynomials | Class 9 Mathematics Chapter 2
• MCQ on Coordinate Geometry | Class 9 Mathematics Chapter 3

The Bottom Line

I hope these 30 Multiple-choice questions have helped you learn more about the Class 9 Mathematics Chapter 4 (Linear Equations in Two Variables) in detail. You can retake the test anytime you want by refreshing the page and review your results.

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Abdur Rohman

Abdur Rohman is an Electrical Engineer from Charaideo, Assam, who wears multiple hats as a part-time teacher, blogger, entrepreneur, and digital marketer. Passionate about education, he founded The Assam School blog to provide free, comprehensive textbook solutions, MCQs (Multiple Choice Questions), and other academic content for students from Class V to XII.