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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 808 · 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: 7(p + 3) = 84. What is p?
  2. 2.Solve: t/5 + 18 = 22. What is t?
  3. 3.Solve: m/3 + 1 = 9. What is m?
  4. 4.Solve: 9y − 50 = 13. What is y?
  5. 5.Solve: m/7 + 16 = 24. What is m?
  6. 6.Dev is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  7. 7.Ananya is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  8. 8.Solve: 8p − 94 = 2. What is p?
  9. 9.Solve: 2p + 27 = 49. What is p?
  10. 10.Solve: 5y + 2 = 12. What is y?
  11. 11.Solve: 4(m + 2) = 48. What is m?
  12. 12.Solve: 2(n + 8) = 44. What is n?
  13. 13.Solve: m/7 + 18 = 28. What is m?
  14. 14.Ananya thinks of a number, multiplies it by 3 and then adds 26. The result is 53. What is the number?
  15. 15.Solve: 3(n + 5) = 42. What is n?
  16. 16.Solve: 5(m + 3) = 30. What is m?
  17. 17.Solve: 9(p + 7) = 198. What is p?
  18. 18.Solve: 8y + 4 = 44. What is y?
  19. 19.Solve: p/6 + 16 = 26. What is p?
  20. 20.Solve: 5x − 6 = 4. What is x?
  21. 21.Solve: 7n − 33 = 51. What is n?
  22. 22.Solve: m/4 + 17 = 27. What is m?
  23. 23.Aditya thinks of a number, multiplies it by 6 and then adds 7. The result is 55. What is the number?
  24. 24.Solve: 9y + 30 = 66. What is y?
  25. 25.Priya is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  26. 26.Aarav is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  27. 27.Farhan’s mother is four times as old as Farhan. Their ages add up to 20 years. How old is Farhan?
  28. 28.Solve: 4x + 7 = 23. What is x?
  29. 29.Solve: 7(y + 4) = 77. What is y?
  30. 30.Solve: m/4 + 11 = 12. What is m?
  31. 31.Solve: 9p − 15 = 75. What is p?
  32. 32.Solve: 3p + 9 = 54. What is p?
  33. 33.Rahul is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  34. 34.Solve: m/5 + 17 = 21. What is m?
  35. 35.Rahul thinks of a number, multiplies it by 2 and then adds 15. The result is 45. What is the number?
  36. 36.Solve: 4m + 28 = 44. What is m?
  37. 37.Rohan’s mother is three times as old as Rohan. Their ages add up to 60 years. How old is Rohan?
  38. 38.Solve: 9(m + 4) = 54. What is m?
  39. 39.Farhan is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  40. 40.Rohan thinks of a number, multiplies it by 4 and then adds 14. The result is 46. What is the number?

Answer key

  1. 9
  2. 20
  3. 24
  4. 7
  5. 56
  6. 5
  7. 7
  8. 12
  9. 11
  10. 2
  11. 10
  12. 14
  13. 70
  14. 9
  15. 9
  16. 3
  17. 15
  18. 5
  19. 60
  20. 2
  21. 12
  22. 40
  23. 8
  24. 4
  25. 11
  26. 8
  27. 4
  28. 4
  29. 7
  30. 4
  31. 10
  32. 15
  33. 4
  34. 20
  35. 15
  36. 4
  37. 15
  38. 2
  39. 5
  40. 8

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