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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 856 · 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.Priya thinks of a number, multiplies it by 2 and then adds 25. The result is 27. What is the number?
  2. 2.Farhan is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  3. 3.Solve: 3n + 28 = 55. What is n?
  4. 4.Solve: 4y + 28 = 36. What is y?
  5. 5.Solve: x/4 + 5 = 6. What is x?
  6. 6.Solve: 4n + 9 = 41. What is n?
  7. 7.Solve: 4m + 13 = 21. What is m?
  8. 8.Solve: x/7 + 16 = 29. What is x?
  9. 9.Solve: 7n + 13 = 34. What is n?
  10. 10.Solve: 8(m + 8) = 88. What is m?
  11. 11.Solve: 5m + 19 = 24. What is m?
  12. 12.Pooja thinks of a number, multiplies it by 8 and then adds 16. The result is 64. What is the number?
  13. 13.Solve: y/7 + 20 = 24. What is y?
  14. 14.Solve: 4y − 6 = 10. What is y?
  15. 15.Solve: 6p + 4 = 52. What is p?
  16. 16.Solve: 2y − 7 = 5. What is y?
  17. 17.Ishaan thinks of a number, multiplies it by 4 and then adds 4. The result is 8. What is the number?
  18. 18.Solve: 3(t + 9) = 54. What is t?
  19. 19.Solve: 4n − 5 = 27. What is n?
  20. 20.Solve: 2y + 29 = 45. What is y?
  21. 21.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 33 years. How old is Gurpreet?
  22. 22.Solve: y/7 + 17 = 24. What is y?
  23. 23.Solve: 9t + 11 = 38. What is t?
  24. 24.Solve: 4(y + 4) = 64. What is y?
  25. 25.Solve: m/3 + 10 = 24. What is m?
  26. 26.Arjun’s mother is three times as old as Arjun. Their ages add up to 36 years. How old is Arjun?
  27. 27.Solve: 7y − 3 = 88. What is y?
  28. 28.Gurpreet thinks of a number, multiplies it by 4 and then adds 27. The result is 79. What is the number?
  29. 29.Solve: p/6 + 4 = 7. What is p?
  30. 30.Kabir thinks of a number, multiplies it by 4 and then adds 28. The result is 60. What is the number?
  31. 31.Farhan is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  32. 32.Meera’s mother is twice as old as Meera. Their ages add up to 12 years. How old is Meera?
  33. 33.Ananya thinks of a number, multiplies it by 8 and then adds 25. The result is 73. What is the number?
  34. 34.Solve: 4y − 1 = 11. What is y?
  35. 35.Solve: x/5 + 20 = 35. What is x?
  36. 36.Solve: 8x + 19 = 123. What is x?
  37. 37.Solve: 4p + 25 = 73. What is p?
  38. 38.Joseph thinks of a number, multiplies it by 5 and then adds 9. The result is 49. What is the number?
  39. 39.Solve: 4(n + 6) = 84. What is n?
  40. 40.Ishaan thinks of a number, multiplies it by 6 and then adds 23. The result is 101. What is the number?

Answer key

  1. 1
  2. 5
  3. 9
  4. 2
  5. 4
  6. 8
  7. 2
  8. 91
  9. 3
  10. 3
  11. 1
  12. 6
  13. 28
  14. 4
  15. 8
  16. 6
  17. 1
  18. 9
  19. 8
  20. 8
  21. 11
  22. 49
  23. 3
  24. 12
  25. 42
  26. 9
  27. 13
  28. 13
  29. 18
  30. 8
  31. 14
  32. 4
  33. 6
  34. 3
  35. 75
  36. 13
  37. 12
  38. 8
  39. 15
  40. 13

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