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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 344 · 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.Ananya thinks of a number, multiplies it by 9 and then adds 14. The result is 149. What is the number?
  2. 2.Solve: t/3 + 1 = 13. What is t?
  3. 3.Solve: 5p − 21 = 54. What is p?
  4. 4.Diya is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  5. 5.Arjun is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  6. 6.Solve: t/2 + 17 = 24. What is t?
  7. 7.Solve: p/3 + 2 = 14. What is p?
  8. 8.Solve: y/5 + 3 = 13. What is y?
  9. 9.Gurpreet thinks of a number, multiplies it by 5 and then adds 15. The result is 65. What is the number?
  10. 10.Vivaan thinks of a number, multiplies it by 5 and then adds 19. The result is 24. What is the number?
  11. 11.Solve: t/2 + 1 = 15. What is t?
  12. 12.Solve: n/6 + 1 = 5. What is n?
  13. 13.Solve: 2t + 6 = 24. What is t?
  14. 14.Lakshmi is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  15. 15.Solve: y/4 + 5 = 9. What is y?
  16. 16.Solve: 6p + 4 = 70. What is p?
  17. 17.Solve: 9(t + 5) = 99. What is t?
  18. 18.Joseph is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  19. 19.Solve: 8n + 9 = 41. What is n?
  20. 20.Solve: y/5 + 1 = 8. What is y?
  21. 21.Solve: 3n − 7 = 8. What is n?
  22. 22.Solve: 7y + 11 = 46. What is y?
  23. 23.Aarav is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  24. 24.Solve: 9(t + 6) = 108. What is t?
  25. 25.Solve: 5m + 27 = 62. What is m?
  26. 26.Solve: 2n + 19 = 33. What is n?
  27. 27.Pooja thinks of a number, multiplies it by 8 and then adds 24. The result is 56. What is the number?
  28. 28.Aditya thinks of a number, multiplies it by 4 and then adds 27. The result is 35. What is the number?
  29. 29.Solve: 4(n + 7) = 88. What is n?
  30. 30.Solve: 3n + 7 = 52. What is n?
  31. 31.Sneha thinks of a number, multiplies it by 4 and then adds 5. The result is 57. What is the number?
  32. 32.Solve: 4x + 21 = 81. What is x?
  33. 33.Solve: t/5 + 13 = 23. What is t?
  34. 34.Solve: 6x − 16 = 56. What is x?
  35. 35.Manav’s mother is four times as old as Manav. Their ages add up to 35 years. How old is Manav?
  36. 36.Solve: n/2 + 18 = 27. What is n?
  37. 37.Solve: 2n − 6 = 12. What is n?
  38. 38.Solve: 9n + 27 = 99. What is n?
  39. 39.Solve: 5y − 57 = 3. What is y?
  40. 40.Solve: 3m − 7 = 20. What is m?

Answer key

  1. 15
  2. 36
  3. 15
  4. 13
  5. 4
  6. 14
  7. 36
  8. 50
  9. 10
  10. 1
  11. 28
  12. 24
  13. 9
  14. 5
  15. 16
  16. 11
  17. 6
  18. 15
  19. 4
  20. 35
  21. 5
  22. 5
  23. 4
  24. 6
  25. 7
  26. 7
  27. 4
  28. 2
  29. 15
  30. 15
  31. 13
  32. 15
  33. 50
  34. 12
  35. 7
  36. 18
  37. 9
  38. 8
  39. 12
  40. 9

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