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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 134 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

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  1. 1.Solve: m/8 + 20 = 32. What is m?
  2. 2.Solve: 3m − 16 = 17. What is m?
  3. 3.Priya thinks of a number, multiplies it by 5 and then adds 2. The result is 27. What is the number?
  4. 4.Arjun’s mother is three times as old as Arjun. Their ages add up to 24 years. How old is Arjun?
  5. 5.Solve: p/3 + 12 = 21. What is p?
  6. 6.Isha’s mother is twice as old as Isha. Their ages add up to 27 years. How old is Isha?
  7. 7.Solve: 2y − 4 = 2. What is y?
  8. 8.Lakshmi thinks of a number, multiplies it by 2 and then adds 11. The result is 19. What is the number?
  9. 9.Solve: 2y − 14 = 2. What is y?
  10. 10.Riya’s mother is four times as old as Riya. Their ages add up to 35 years. How old is Riya?
  11. 11.Tara thinks of a number, multiplies it by 5 and then adds 22. The result is 47. What is the number?
  12. 12.Solve: y/4 + 2 = 4. What is y?
  13. 13.Solve: 5n + 27 = 97. What is n?
  14. 14.Solve: x/3 + 1 = 15. What is x?
  15. 15.Ishaan thinks of a number, multiplies it by 6 and then adds 2. The result is 92. What is the number?
  16. 16.Manav is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  17. 17.Solve: 3x + 16 = 19. What is x?
  18. 18.Solve: 5x + 6 = 51. What is x?
  19. 19.Rohan’s mother is three times as old as Rohan. Their ages add up to 20 years. How old is Rohan?
  20. 20.Solve: n/3 + 10 = 23. What is n?
  21. 21.Solve: x/9 + 6 = 15. What is x?
  22. 22.Solve: 3y − 10 = 29. What is y?
  23. 23.Solve: 3p − 14 = 28. What is p?
  24. 24.Arjun thinks of a number, multiplies it by 5 and then adds 17. The result is 32. What is the number?
  25. 25.Solve: 7n − 43 = 55. What is n?
  26. 26.Solve: 2y − 19 = 1. What is y?
  27. 27.Aditya is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  28. 28.Priya thinks of a number, multiplies it by 4 and then adds 12. The result is 56. What is the number?
  29. 29.Solve: 3(p + 2) = 15. What is p?
  30. 30.Solve: 3t + 3 = 39. What is t?
  31. 31.Solve: 4(n + 3) = 28. What is n?
  32. 32.Solve: 7n + 16 = 107. What is n?
  33. 33.Diya thinks of a number, multiplies it by 7 and then adds 19. The result is 61. What is the number?
  34. 34.Solve: 8p + 7 = 23. What is p?
  35. 35.Solve: 3m + 16 = 52. What is m?
  36. 36.Solve: 3t − 8 = 4. What is t?
  37. 37.Solve: 4n + 1 = 29. What is n?
  38. 38.Diya is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  39. 39.Solve: 4n + 16 = 52. What is n?
  40. 40.Rahul is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?

Answer key

  1. 96
  2. 11
  3. 5
  4. 6
  5. 27
  6. 9
  7. 3
  8. 4
  9. 8
  10. 7
  11. 5
  12. 8
  13. 14
  14. 42
  15. 15
  16. 12
  17. 1
  18. 9
  19. 5
  20. 39
  21. 81
  22. 13
  23. 14
  24. 3
  25. 14
  26. 10
  27. 6
  28. 11
  29. 3
  30. 12
  31. 4
  32. 13
  33. 6
  34. 2
  35. 12
  36. 4
  37. 7
  38. 8
  39. 9
  40. 13

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