Class 9 Maths: Linear Equations in Two Variables Worksheet (with Answers)
A free, print-ready worksheet on Linear Equations in Two Variables for CBSE Class 9 Maths, with a matching answer key. Use the sample below, or build your own with the exact mix of questions you need — no login, no ads.
Sample worksheet
7 of 18 questions from this chapter. Generate your own for the full set, more variations, and a clean print layout.
- 1. A linear equation in two variables has:
- (a) infinitely many solutions
- (b) no solution
- (c) one solution
- (d) two solutions
- 2. The graph of a linear equation in two variables is a:
- (a) parabola
- (b) circle
- (c) point
- (d) straight line
- 3. The standard form of a linear equation in two variables is:
- (a) x + y = 1 only
- (b) ax + b = 0
- (c) ax² + bx + c = 0
- (d) ax + by + c = 0
- 4. Which is a solution of x + y = 6?
- (a) (4, 2)
- (b) (1, 4)
- (c) (2, 3)
- (d) (5, 0) only
- 5. Write any one solution of x − y = 0.
- 6. What is the equation of the y-axis?
- 7. Draw the graph of x + y = 4 by finding three solutions.
View answers
- 1. (a) infinitely many solutions — Such equations have infinitely many solutions.
- 2. (d) straight line — It is always a straight line.
- 3. (d) ax + by + c = 0 — ax + by + c = 0, with a, b not both zero.
- 4. (a) (4, 2) — 4 + 2 = 6, so (4, 2) satisfies the equation.
- 5. (2, 2) — since 2 − 2 = 0 (any pair with x = y works).
- 6. x = 0.
- 7. Solutions: (0, 4), (4, 0) and (2, 2). Plotting these three points and joining them gives a straight line — the graph of x + y = 4. Each point on the line is a solution of the equation.
How it works
Every question is drawn from StudyMatic’s own Maths bank for Linear Equations in Two Variables — nothing is auto-generated or invented. Pick how many of each type you want, add your own questions if you like, choose 1–4 paper sets for anti-cheating, and print the worksheet and answer key separately or save them as PDF.
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FAQ
- Is this Class 9 Maths worksheet on Linear Equations in Two Variables free?
- Yes — it is completely free, with no login and no ads. You can print it or save it as a PDF, and generate unlimited variations.
- Does the Linear Equations in Two Variables worksheet come with answers?
- Yes. Every worksheet has a separate answer key with the correct answers, short explanations and marks, so it is ready for marking.
- Can I choose how many questions and which types?
- Yes. Open the generator for this chapter and set how many MCQs, short, long and HOTS questions you want; totals and marks update live, and you can swap any single question.
- Which board and class is this for?
- This worksheet is aligned to CBSE Class 9 Maths, chapter “Linear Equations in Two Variables”.