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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 917 · 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: 8m − 26 = 38. What is m?
  2. 2.Solve: 2n − 8 = 6. What is n?
  3. 3.Solve: 9m + 10 = 82. What is m?
  4. 4.Solve: p/2 + 10 = 16. What is p?
  5. 5.Solve: 7(y + 4) = 84. What is y?
  6. 6.Solve: 9n − 2 = 70. What is n?
  7. 7.Ananya is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  8. 8.Solve: m/4 + 16 = 17. What is m?
  9. 9.Solve: 9p − 88 = 47. What is p?
  10. 10.Solve: n/2 + 8 = 10. What is n?
  11. 11.Solve: m/2 + 14 = 15. What is m?
  12. 12.Aarav is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  13. 13.Solve: 5p + 27 = 57. What is p?
  14. 14.Solve: 3n − 18 = 24. What is n?
  15. 15.Solve: 7n + 24 = 80. What is n?
  16. 16.Solve: 6n + 30 = 96. What is n?
  17. 17.Solve: 4(p + 2) = 28. What is p?
  18. 18.Solve: 8y − 71 = 9. What is y?
  19. 19.Solve: 2(t + 8) = 22. What is t?
  20. 20.Solve: 6x − 14 = 76. What is x?
  21. 21.Solve: 5m − 9 = 1. What is m?
  22. 22.Solve: n/3 + 17 = 23. What is n?
  23. 23.Zoya thinks of a number, multiplies it by 2 and then adds 27. The result is 43. What is the number?
  24. 24.Solve: 8(n + 9) = 152. What is n?
  25. 25.Solve: 3t + 5 = 17. What is t?
  26. 26.Pooja thinks of a number, multiplies it by 6 and then adds 20. The result is 86. What is the number?
  27. 27.Solve: 5p − 2 = 3. What is p?
  28. 28.Karan thinks of a number, multiplies it by 4 and then adds 2. The result is 22. What is the number?
  29. 29.Solve: p/4 + 2 = 7. What is p?
  30. 30.Solve: 8y + 3 = 43. What is y?
  31. 31.Solve: 4n − 11 = 33. What is n?
  32. 32.Solve: 8(y + 9) = 184. What is y?
  33. 33.Aditya’s mother is three times as old as Aditya. Their ages add up to 20 years. How old is Aditya?
  34. 34.Arjun thinks of a number, multiplies it by 2 and then adds 11. The result is 13. What is the number?
  35. 35.Solve: 3(t + 6) = 24. What is t?
  36. 36.Solve: 9y − 24 = 3. What is y?
  37. 37.Pooja thinks of a number, multiplies it by 5 and then adds 29. The result is 99. What is the number?
  38. 38.Solve: 8(n + 6) = 144. What is n?
  39. 39.Solve: 6m − 21 = 69. What is m?
  40. 40.Solve: 2p − 3 = 17. What is p?

Answer key

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

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