Class 9 Mathematics Chapter 13: Two Variables, One Line — practice questions with answers
Free practice for Class 9 Mathematics, Chapter 13: Two Variables, One Line. Try the solved questions below, then take a free test with instant marking and explanations.
71 questions28 easy, 25 medium, 18 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. Radha buys x kg of mangoes at ₹60/kg and y kg of bananas at ₹50/kg, paying ₹280 in all. Which equation describes this?
- 60x + 50y = 280
- 50x + 60y = 280
- 60x − 50y = 280
- x + y = 280
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Answer: A. 60x + 50y = 280
Why: Both sides represent the total cost. [p.85]
Why: Both sides represent the total cost. [p.85]
Q2. What is the standard form of a linear equation in two variables?
- ax + by + c = 0, with a and b not both zero
- y = x²
- ax² + bx + c = 0
- x/y = c
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Answer: A. ax + by + c = 0, with a and b not both zero
Why: a, b are coefficients and c is the constant. [p.86]
Why: a, b are coefficients and c is the constant. [p.86]
Q3. A notebook costs twice as much as a pen. Notebook = ₹t, pen = ₹p. Which equation is correct?
- t = 2p
- p = 2t
- t + p = 2
- 2t = 2p
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Answer: A. t = 2p
Why: The notebook is the larger amount. [p.87]
Why: The notebook is the larger amount. [p.87]
Q4. What is a solution of a linear equation in two variables?
- An ordered pair (x, y) that satisfies the equation
- A single number
- The slope of the line
- The y-intercept only
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Answer: A. An ordered pair (x, y) that satisfies the equation
Why: e.g. (2, 3) satisfies 3x + 2y = 12. [p.88]
Why: e.g. (2, 3) satisfies 3x + 2y = 12. [p.88]
Q5. Which ordered pair is NOT a solution of 3x + 2y = 12?
- (1, 3)
- (2, 3)
- (4, 0)
- (0, 6)
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Answer: A. (1, 3)
Why: 3 + 6 = 9 ≠ 12. [p.88]
Why: 3 + 6 = 9 ≠ 12. [p.88]
Q6. How many solutions does a single linear equation in two variables have?
- Infinitely many
- Exactly one
- Exactly two
- None
Show answer
Answer: A. Infinitely many
Why: Every point on its line is a solution. [p.88, p.122]
Why: Every point on its line is a solution. [p.88, p.122]
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Frequently asked questions
How many practice questions are there for Class 9 Mathematics Chapter 13: Two Variables, One Line?
71 questions (28 easy, 25 medium, 18 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 9 Mathematics syllabus, used by CBSE and many state boards.