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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 287 · 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: t/3 + 17 = 28. What is t?
  2. 2.Solve: 6m + 7 = 49. What is m?
  3. 3.Solve: m/9 + 4 = 6. What is m?
  4. 4.Diya thinks of a number, multiplies it by 9 and then adds 14. The result is 149. What is the number?
  5. 5.Solve: y/2 + 1 = 3. What is y?
  6. 6.Solve: n/5 + 12 = 20. What is n?
  7. 7.Solve: 3y − 16 = 29. What is y?
  8. 8.Solve: 6m − 3 = 3. What is m?
  9. 9.Ananya thinks of a number, multiplies it by 7 and then adds 6. The result is 34. What is the number?
  10. 10.Solve: 8t + 1 = 65. What is t?
  11. 11.Solve: 5t − 47 = 28. What is t?
  12. 12.Solve: 5n + 17 = 47. What is n?
  13. 13.Solve: 2(t + 3) = 36. What is t?
  14. 14.Aarav is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  15. 15.Solve: 8x − 2 = 14. What is x?
  16. 16.Solve: 6(t + 2) = 102. What is t?
  17. 17.Farhan thinks of a number, multiplies it by 4 and then adds 21. The result is 73. What is the number?
  18. 18.Solve: y/8 + 20 = 23. What is y?
  19. 19.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 60 years. How old is Saanvi?
  20. 20.Solve: 7x − 27 = 78. What is x?
  21. 21.Riya thinks of a number, multiplies it by 4 and then adds 1. The result is 25. What is the number?
  22. 22.Kavya thinks of a number, multiplies it by 3 and then adds 7. The result is 52. What is the number?
  23. 23.Saanvi thinks of a number, multiplies it by 3 and then adds 15. The result is 27. What is the number?
  24. 24.Solve: 7y − 34 = 22. What is y?
  25. 25.Diya is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  26. 26.Solve: t/5 + 20 = 32. What is t?
  27. 27.Manav’s mother is four times as old as Manav. Their ages add up to 20 years. How old is Manav?
  28. 28.Solve: 5y + 23 = 73. What is y?
  29. 29.Riya’s mother is twice as old as Riya. Their ages add up to 12 years. How old is Riya?
  30. 30.Solve: 4n + 7 = 27. What is n?
  31. 31.Solve: 3(x + 2) = 51. What is x?
  32. 32.Solve: 4y + 5 = 13. What is y?
  33. 33.Solve: 2(y + 8) = 22. What is y?
  34. 34.Solve: 2t + 10 = 12. What is t?
  35. 35.Solve: 6(y + 7) = 48. What is y?
  36. 36.Solve: 6m + 11 = 29. What is m?
  37. 37.Arjun thinks of a number, multiplies it by 2 and then adds 21. The result is 31. What is the number?
  38. 38.Tara thinks of a number, multiplies it by 2 and then adds 6. The result is 20. What is the number?
  39. 39.Pooja thinks of a number, multiplies it by 2 and then adds 5. The result is 7. What is the number?
  40. 40.Pooja thinks of a number, multiplies it by 7 and then adds 17. The result is 73. What is the number?

Answer key

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

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