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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 867 · 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: 9n + 17 = 80. What is n?
  2. 2.Meera’s mother is three times as old as Meera. Their ages add up to 16 years. How old is Meera?
  3. 3.Solve: 3(n + 2) = 45. What is n?
  4. 4.Solve: m/5 + 8 = 17. What is m?
  5. 5.Karan is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  6. 6.Solve: 5t − 14 = 6. What is t?
  7. 7.Solve: 6n + 7 = 73. What is n?
  8. 8.Sneha is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  9. 9.Riya is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  10. 10.Solve: 2(x + 8) = 32. What is x?
  11. 11.Solve: 9y + 13 = 130. What is y?
  12. 12.Ananya thinks of a number, multiplies it by 9 and then adds 11. The result is 83. What is the number?
  13. 13.Dev thinks of a number, multiplies it by 4 and then adds 3. The result is 27. What is the number?
  14. 14.Manav thinks of a number, multiplies it by 2 and then adds 17. The result is 47. What is the number?
  15. 15.Solve: 3t + 4 = 19. What is t?
  16. 16.Solve: 8(x + 8) = 128. What is x?
  17. 17.Solve: 3p + 17 = 59. What is p?
  18. 18.Solve: 6y + 12 = 78. What is y?
  19. 19.Solve: 5t − 18 = 2. What is t?
  20. 20.Solve: 4m + 13 = 53. What is m?
  21. 21.Solve: 5y − 7 = 43. What is y?
  22. 22.Solve: 7m − 67 = 31. What is m?
  23. 23.Solve: 4m − 5 = 11. What is m?
  24. 24.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 60 years. How old is Saanvi?
  25. 25.Solve: 3x + 15 = 60. What is x?
  26. 26.Solve: y/7 + 7 = 10. What is y?
  27. 27.Diya is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  28. 28.Riya thinks of a number, multiplies it by 2 and then adds 27. The result is 35. What is the number?
  29. 29.Solve: 2(p + 3) = 18. What is p?
  30. 30.Solve: 2p − 9 = 21. What is p?
  31. 31.Solve: y/7 + 2 = 9. What is y?
  32. 32.Solve: y/5 + 18 = 25. What is y?
  33. 33.Meera’s mother is four times as old as Meera. Their ages add up to 75 years. How old is Meera?
  34. 34.Solve: 2t + 17 = 37. What is t?
  35. 35.Saanvi is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  36. 36.Solve: 2m + 3 = 15. What is m?
  37. 37.Solve: 6m + 7 = 19. What is m?
  38. 38.Solve: 9n − 7 = 11. What is n?
  39. 39.Solve: t/7 + 18 = 29. What is t?
  40. 40.Solve: p/5 + 7 = 22. What is p?

Answer key

  1. 7
  2. 4
  3. 13
  4. 45
  5. 15
  6. 4
  7. 11
  8. 12
  9. 13
  10. 8
  11. 13
  12. 8
  13. 6
  14. 15
  15. 5
  16. 8
  17. 14
  18. 11
  19. 4
  20. 10
  21. 10
  22. 14
  23. 4
  24. 15
  25. 15
  26. 21
  27. 4
  28. 4
  29. 6
  30. 15
  31. 49
  32. 35
  33. 15
  34. 10
  35. 8
  36. 6
  37. 2
  38. 2
  39. 77
  40. 75

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