Introduction to Linear Polynomials
CBSE · Class 9 · Mathematics
Most important questions from Introduction to Linear Polynomials for CBSE Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.
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Sample Questions
The auto-rickshaw fare starts at ₹25 for the first 2 km and then increases by ₹15 per km. What is the fare for a journey of 14 km?
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₹205
Step 1: Use the formula 25 + 15 × (n - 2). Step 2: Substitute n = 14. Step 3: 14 - 2 = 12. Step 4: 15 × 12 = 180. Step 5: 25 + 180 = 205. So the fare is ₹205.
Bela has ₹100 pocket money and spends ₹5 every day. On which day will the amount left be ₹25?
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Day 15
Step 1: The amount left after n days is 100 - 5n. Step 2: Set 100 - 5n = 25. Step 3: 5n = 75. Step 4: n = 15. So the amount left is ₹25 on the 15th day.
The line y = 2x + 5 is used. What is the y-value when x = 6, and what is the y-intercept?
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y = 17 and y-intercept = 5
Step 1: Substitute x = 6 in y = 2x + 5. Step 2: y = 2 × 6 + 5 = 12 + 5 = 17. Step 3: In y = ax + b, the y-intercept is b. Step 4: Here b = 5. So y = 17 and the y-intercept is 5.
Two numbers add up to 64. One number is 10 more than the other. What are the numbers?
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27 and 37
Step 1: Let the smaller number be x. Step 2: The larger number is x + 10. Step 3: Form the equation x + (x + 10) = 64. Step 4: 2x + 10 = 64, so 2x = 54. Step 5: x = 27. Step 6: The larger number is 37. So the numbers are 27 and 37.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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