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Class 7–8 Maths: Linear equations practice questions

Practise linear equations for Classes 7 and 8. 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. Solve for x: 9x + 6 = 69

   1. A. 6
   2. B. 9
   3. C. 7 ✓
   4. D. 63

   Answer: 7. Subtract 6 from both sides: 9x = 63. Divide by 9: x = 7.

2. Solve for x: 2x + 16 = 38

   1. A. 22
   2. B. 11 ✓
   3. C. 13
   4. D. 18

   Answer: 11. Subtract 16 from both sides: 2x = 22. Divide by 2: x = 11.

3. Solve for x: 8x + 9 = 49

   1. A. 4
   2. B. 17
   3. C. 5 ✓
   4. D. 40

   Answer: 5. Subtract 9 from both sides: 8x = 40. Divide by 8: x = 5.

4. Solve for x: 6x + 19 = 55

   1. A. 25
   2. B. 5
   3. C. 6 ✓
   4. D. 7

   Answer: 6. Subtract 19 from both sides: 6x = 36. Divide by 6: x = 6.

5. Solve for x: 4x + 9 = 57

   1. A. 12 ✓
   2. B. 11
   3. C. 13
   4. D. 14

   Answer: 12. Subtract 9 from both sides: 4x = 48. Divide by 4: x = 12.

6. Solve for x: 2x + 1 = 15

   1. A. 7 ✓
   2. B. 14
   3. C. 9
   4. D. 8

   Answer: 7. Subtract 1 from both sides: 2x = 14. Divide by 2: x = 7.

7. Solve for x: 9x + 2 = 38

   1. A. 11
   2. B. 6
   3. C. 4 ✓
   4. D. 36

   Answer: 4. Subtract 2 from both sides: 9x = 36. Divide by 9: x = 4.

8. Solve for x: 4x + 5 = 41

   1. A. 8
   2. B. 10
   3. C. 11
   4. D. 9 ✓

   Answer: 9. Subtract 5 from both sides: 4x = 36. Divide by 4: x = 9.

9. Solve for x: 9x + 16 = 124

   1. A. 12 ✓
   2. B. 13
   3. C. 108
   4. D. 14

   Answer: 12. Subtract 16 from both sides: 9x = 108. Divide by 9: x = 12.

10. Solve for x: 6x + 15 = 39

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

    Answer: 4. Subtract 15 from both sides: 6x = 24. Divide by 6: x = 4.

11. Solve for x: 6x + 3 = 21

    1. A. 5
    2. B. 9
    3. C. 3 ✓
    4. D. 2

    Answer: 3. Subtract 3 from both sides: 6x = 18. Divide by 6: x = 3.

12. Solve for x: 7x + 20 = 34

    1. A. 2 ✓
    2. B. 3
    3. C. 4
    4. D. 27

    Answer: 2. Subtract 20 from both sides: 7x = 14. Divide by 7: x = 2.

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