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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 587 · 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: 8n + 24 = 112. What is n?
  2. 2.Saanvi is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  3. 3.Solve: 3y − 8 = 28. What is y?
  4. 4.Riya is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  5. 5.Farhan’s mother is three times as old as Farhan. Their ages add up to 16 years. How old is Farhan?
  6. 6.Sneha is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  7. 7.Riya’s mother is four times as old as Riya. Their ages add up to 55 years. How old is Riya?
  8. 8.Solve: t/2 + 20 = 31. What is t?
  9. 9.Solve: x/5 + 17 = 19. What is x?
  10. 10.Aditya thinks of a number, multiplies it by 4 and then adds 6. The result is 62. What is the number?
  11. 11.Isha thinks of a number, multiplies it by 5 and then adds 7. The result is 67. What is the number?
  12. 12.Solve: 5p − 4 = 16. What is p?
  13. 13.Saanvi thinks of a number, multiplies it by 2 and then adds 15. The result is 37. What is the number?
  14. 14.Solve: 7y + 18 = 53. What is y?
  15. 15.Solve: 7(x + 7) = 77. What is x?
  16. 16.Kavya thinks of a number, multiplies it by 7 and then adds 5. The result is 82. What is the number?
  17. 17.Solve: 2p + 28 = 34. What is p?
  18. 18.Dev is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  19. 19.Solve: x/3 + 11 = 23. What is x?
  20. 20.Solve: y/7 + 6 = 7. What is y?
  21. 21.Lakshmi thinks of a number, multiplies it by 8 and then adds 5. The result is 45. What is the number?
  22. 22.Solve: 3t + 9 = 12. What is t?
  23. 23.Nisha thinks of a number, multiplies it by 5 and then adds 10. The result is 70. What is the number?
  24. 24.Joseph thinks of a number, multiplies it by 2 and then adds 30. The result is 44. What is the number?
  25. 25.Solve: n/8 + 15 = 19. What is n?
  26. 26.Solve: 9m + 4 = 13. What is m?
  27. 27.Solve: 3x + 14 = 32. What is x?
  28. 28.Solve: n/8 + 16 = 19. What is n?
  29. 29.Farhan thinks of a number, multiplies it by 4 and then adds 11. The result is 59. What is the number?
  30. 30.Manav thinks of a number, multiplies it by 7 and then adds 26. The result is 75. What is the number?
  31. 31.Solve: t/3 + 1 = 5. What is t?
  32. 32.Pooja’s mother is three times as old as Pooja. Their ages add up to 32 years. How old is Pooja?
  33. 33.Solve: 2p + 5 = 35. What is p?
  34. 34.Solve: 3y − 18 = 18. What is y?
  35. 35.Solve: 7y + 12 = 110. What is y?
  36. 36.Solve: p/7 + 19 = 34. What is p?
  37. 37.Solve: y/5 + 7 = 21. What is y?
  38. 38.Solve: 8y + 14 = 110. What is y?
  39. 39.Diya is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  40. 40.Solve: 5y − 5 = 45. What is y?

Answer key

  1. 11
  2. 14
  3. 12
  4. 13
  5. 4
  6. 8
  7. 11
  8. 22
  9. 10
  10. 14
  11. 12
  12. 4
  13. 11
  14. 5
  15. 4
  16. 11
  17. 3
  18. 10
  19. 36
  20. 7
  21. 5
  22. 1
  23. 12
  24. 7
  25. 32
  26. 1
  27. 6
  28. 24
  29. 12
  30. 7
  31. 12
  32. 8
  33. 15
  34. 12
  35. 14
  36. 105
  37. 70
  38. 12
  39. 8
  40. 10

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