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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 129 · 40 sums
TalentJR

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: 4n − 34 = 6. What is n?
  2. 2.Solve: 3(y + 7) = 51. What is y?
  3. 3.Solve: 2t + 29 = 37. What is t?
  4. 4.Solve: 8p − 5 = 91. What is p?
  5. 5.Saanvi thinks of a number, multiplies it by 3 and then adds 11. The result is 38. What is the number?
  6. 6.Solve: 8t + 13 = 85. What is t?
  7. 7.Solve: t/4 + 7 = 18. What is t?
  8. 8.Sneha is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  9. 9.Ananya thinks of a number, multiplies it by 6 and then adds 1. The result is 91. What is the number?
  10. 10.Solve: 6m + 2 = 86. What is m?
  11. 11.Solve: 3(y + 1) = 15. What is y?
  12. 12.Solve: 3n − 19 = 11. What is n?
  13. 13.Solve: 9p − 24 = 48. What is p?
  14. 14.Solve: 5y − 12 = 3. What is y?
  15. 15.Solve: 5x − 14 = 1. What is x?
  16. 16.Solve: 4p − 4 = 12. What is p?
  17. 17.Solve: 7y − 9 = 26. What is y?
  18. 18.Arjun is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  19. 19.Solve: 2(m + 2) = 6. What is m?
  20. 20.Solve: 9t + 27 = 54. What is t?
  21. 21.Pooja thinks of a number, multiplies it by 9 and then adds 22. The result is 139. What is the number?
  22. 22.Solve: 7m − 21 = 28. What is m?
  23. 23.Solve: 9y + 20 = 74. What is y?
  24. 24.Solve: 8t + 4 = 76. What is t?
  25. 25.Solve: x/9 + 7 = 8. What is x?
  26. 26.Solve: 5n + 13 = 53. What is n?
  27. 27.Solve: 2x − 1 = 1. What is x?
  28. 28.Solve: m/6 + 14 = 27. What is m?
  29. 29.Solve: 5y − 28 = 17. What is y?
  30. 30.Solve: 7p − 94 = 11. What is p?
  31. 31.Nisha’s mother is twice as old as Nisha. Their ages add up to 24 years. How old is Nisha?
  32. 32.Solve: 7(p + 2) = 105. What is p?
  33. 33.Meera thinks of a number, multiplies it by 9 and then adds 12. The result is 75. What is the number?
  34. 34.Solve: 5(y + 3) = 80. What is y?
  35. 35.Solve: 4y + 18 = 78. What is y?
  36. 36.Solve: 6t + 20 = 26. What is t?
  37. 37.Solve: 6x − 10 = 2. What is x?
  38. 38.Pooja is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  39. 39.Solve: 2p − 4 = 12. What is p?
  40. 40.Solve: x/7 + 1 = 4. What is x?

Answer key

  1. 10
  2. 10
  3. 4
  4. 12
  5. 9
  6. 9
  7. 44
  8. 14
  9. 15
  10. 14
  11. 4
  12. 10
  13. 8
  14. 3
  15. 3
  16. 4
  17. 5
  18. 6
  19. 1
  20. 3
  21. 13
  22. 7
  23. 6
  24. 9
  25. 9
  26. 8
  27. 1
  28. 78
  29. 9
  30. 15
  31. 8
  32. 13
  33. 7
  34. 13
  35. 15
  36. 1
  37. 2
  38. 5
  39. 8
  40. 21

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