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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 829 · 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: n/2 + 20 = 22. What is n?
  2. 2.Solve: 7n + 24 = 59. What is n?
  3. 3.Solve: 3(x + 2) = 39. What is x?
  4. 4.Solve: 6y + 13 = 43. What is y?
  5. 5.Saanvi thinks of a number, multiplies it by 4 and then adds 1. The result is 17. What is the number?
  6. 6.Meera thinks of a number, multiplies it by 9 and then adds 8. The result is 134. What is the number?
  7. 7.Solve: n/3 + 8 = 19. What is n?
  8. 8.Solve: 7x + 10 = 73. What is x?
  9. 9.Solve: 3n − 3 = 9. What is n?
  10. 10.Farhan is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  11. 11.Solve: p/8 + 18 = 31. What is p?
  12. 12.Solve: 7p + 28 = 91. What is p?
  13. 13.Solve: p/6 + 17 = 29. What is p?
  14. 14.Solve: 2p + 1 = 21. What is p?
  15. 15.Solve: 5y − 6 = 4. What is y?
  16. 16.Solve: 6(x + 6) = 114. What is x?
  17. 17.Solve: 7n + 19 = 47. What is n?
  18. 18.Solve: 2t + 22 = 42. What is t?
  19. 19.Rohan is 6 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  20. 20.Solve: 8t + 13 = 109. What is t?
  21. 21.Solve: 4n − 3 = 5. What is n?
  22. 22.Solve: t/3 + 8 = 20. What is t?
  23. 23.Solve: 6m − 7 = 11. What is m?
  24. 24.Solve: 7n − 2 = 5. What is n?
  25. 25.Kabir thinks of a number, multiplies it by 7 and then adds 5. The result is 103. What is the number?
  26. 26.Solve: 9(m + 5) = 90. What is m?
  27. 27.Ishaan thinks of a number, multiplies it by 2 and then adds 29. The result is 49. What is the number?
  28. 28.Ananya’s mother is three times as old as Ananya. Their ages add up to 56 years. How old is Ananya?
  29. 29.Solve: 9p − 5 = 13. What is p?
  30. 30.Solve: 7n + 15 = 43. What is n?
  31. 31.Solve: 5p + 6 = 51. What is p?
  32. 32.Solve: 4(t + 3) = 32. What is t?
  33. 33.Solve: p/7 + 4 = 19. What is p?
  34. 34.Solve: 2n − 4 = 8. What is n?
  35. 35.Solve: 2m + 10 = 38. What is m?
  36. 36.Solve: 8m − 16 = 56. What is m?
  37. 37.Solve: t/3 + 10 = 22. What is t?
  38. 38.Arjun thinks of a number, multiplies it by 6 and then adds 14. The result is 98. What is the number?
  39. 39.Joseph is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  40. 40.Joseph thinks of a number, multiplies it by 3 and then adds 24. The result is 42. What is the number?

Answer key

  1. 4
  2. 5
  3. 11
  4. 5
  5. 4
  6. 14
  7. 33
  8. 9
  9. 4
  10. 4
  11. 104
  12. 9
  13. 72
  14. 10
  15. 2
  16. 13
  17. 4
  18. 10
  19. 13
  20. 12
  21. 2
  22. 36
  23. 3
  24. 1
  25. 14
  26. 5
  27. 10
  28. 14
  29. 2
  30. 4
  31. 9
  32. 5
  33. 105
  34. 6
  35. 14
  36. 9
  37. 36
  38. 14
  39. 7
  40. 6

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