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Class 9–10 Maths: Linear equations practice questions

Practise linear equations for Classes 9 and 10. Try the 10-question quiz below and see each answer explained straight away, then read all 12 worked examples with answers underneath. Free, no sign-up.

Linear equations: worked examples with answers

These Maths questions are generated, so a fresh set appears every time you press "Practise more questions". Here are some worked examples.

1. If x + y = 5 and x − y = 3, what is x?

   1. A. 1
   2. B. 4 ✓
   3. C. 8
   4. D. 5

   Answer: 4. Add the two equations: 2x = 5 + 3 = 8, so x = 4.

2. If x + y = 10 and x − y = 6, what is x?

   1. A. 10
   2. B. 8 ✓
   3. C. 2
   4. D. 9

   Answer: 8. Add the two equations: 2x = 10 + 6 = 16, so x = 8.

3. If x + y = 8 and x − y = 2, what is x?

   1. A. 3
   2. B. 5 ✓
   3. C. 10
   4. D. 6

   Answer: 5. Add the two equations: 2x = 8 + 2 = 10, so x = 5.

4. If x + y = 16 and x − y = 4, what is x?

   1. A. 16
   2. B. 20
   3. C. 4
   4. D. 10 ✓

   Answer: 10. Add the two equations: 2x = 16 + 4 = 20, so x = 10.

5. If x + y = 24 and x − y = 6, what is x?

   1. A. 16
   2. B. 15 ✓
   3. C. 9
   4. D. 24

   Answer: 15. Add the two equations: 2x = 24 + 6 = 30, so x = 15.

6. If x + y = 8 and x − y = 6, what is x?

   1. A. 8
   2. B. 7 ✓
   3. C. 6
   4. D. 1

   Answer: 7. Add the two equations: 2x = 8 + 6 = 14, so x = 7.

7. If x + y = 15 and x − y = 13, what is x?

   1. A. 14 ✓
   2. B. 28
   3. C. 1
   4. D. 13

   Answer: 14. Add the two equations: 2x = 15 + 13 = 28, so x = 14.

8. If x + y = 12 and x − y = 8, what is x?

   1. A. 10 ✓
   2. B. 8
   3. C. 20
   4. D. 11

   Answer: 10. Add the two equations: 2x = 12 + 8 = 20, so x = 10.

9. If x + y = 6 and x − y = 2, what is x?

   1. A. 4 ✓
   2. B. 8
   3. C. 5
   4. D. 2

   Answer: 4. Add the two equations: 2x = 6 + 2 = 8, so x = 4.

10. If x + y = 12 and x − y = 4, what is x?

    1. A. 4
    2. B. 16
    3. C. 9
    4. D. 8 ✓

    Answer: 8. Add the two equations: 2x = 12 + 4 = 16, so x = 8.

11. If x + y = 25 and x − y = 3, what is x?

    1. A. 14 ✓
    2. B. 25
    3. C. 15
    4. D. 3

    Answer: 14. Add the two equations: 2x = 25 + 3 = 28, so x = 14.

12. If x + y = 17 and x − y = 5, what is x?

    1. A. 12
    2. B. 22
    3. C. 11 ✓
    4. D. 6

    Answer: 11. Add the two equations: 2x = 17 + 5 = 22, so x = 11.

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