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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 779 · 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: 9(t + 7) = 189. What is t?
  2. 2.Pooja’s mother is four times as old as Pooja. Their ages add up to 45 years. How old is Pooja?
  3. 3.Solve: x/8 + 15 = 21. What is x?
  4. 4.Solve: 6n + 12 = 18. What is n?
  5. 5.Solve: 5(t + 9) = 60. What is t?
  6. 6.Riya is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  7. 7.Solve: 9m + 21 = 57. What is m?
  8. 8.Arjun thinks of a number, multiplies it by 4 and then adds 27. The result is 55. What is the number?
  9. 9.Solve: 8p − 16 = 96. What is p?
  10. 10.Solve: 4y + 14 = 74. What is y?
  11. 11.Solve: 7(x + 8) = 98. What is x?
  12. 12.Solve: 2y + 23 = 25. What is y?
  13. 13.Solve: 4(n + 5) = 52. What is n?
  14. 14.Solve: 3y + 9 = 42. What is y?
  15. 15.Solve: 4x − 3 = 33. What is x?
  16. 16.Solve: 7y − 5 = 16. What is y?
  17. 17.Solve: 2(y + 2) = 10. What is y?
  18. 18.Manav thinks of a number, multiplies it by 7 and then adds 7. The result is 105. What is the number?
  19. 19.Solve: 9(y + 6) = 162. What is y?
  20. 20.Solve: 2(x + 2) = 8. What is x?
  21. 21.Solve: 3m − 11 = 7. What is m?
  22. 22.Solve: 9p − 1 = 62. What is p?
  23. 23.Solve: 2t + 27 = 41. What is t?
  24. 24.Solve: 4(p + 5) = 56. What is p?
  25. 25.Solve: 8(n + 3) = 120. What is n?
  26. 26.Solve: 3x + 25 = 40. What is x?
  27. 27.Meera thinks of a number, multiplies it by 2 and then adds 21. The result is 25. What is the number?
  28. 28.Solve: 5m + 23 = 83. What is m?
  29. 29.Solve: 3n + 10 = 40. What is n?
  30. 30.Solve: 6n − 21 = 39. What is n?
  31. 31.Kavya thinks of a number, multiplies it by 2 and then adds 7. The result is 27. What is the number?
  32. 32.Solve: x/6 + 2 = 3. What is x?
  33. 33.Solve: 4n − 6 = 18. What is n?
  34. 34.Solve: m/2 + 5 = 19. What is m?
  35. 35.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 75 years. How old is Ishaan?
  36. 36.Solve: 8m − 48 = 8. What is m?
  37. 37.Gurpreet thinks of a number, multiplies it by 5 and then adds 4. The result is 14. What is the number?
  38. 38.Solve: 2p + 24 = 34. What is p?
  39. 39.Solve: t/5 + 7 = 10. What is t?
  40. 40.Priya thinks of a number, multiplies it by 8 and then adds 3. The result is 123. What is the number?

Answer key

  1. 14
  2. 9
  3. 48
  4. 1
  5. 3
  6. 11
  7. 4
  8. 7
  9. 14
  10. 15
  11. 6
  12. 1
  13. 8
  14. 11
  15. 9
  16. 3
  17. 3
  18. 14
  19. 12
  20. 2
  21. 6
  22. 7
  23. 7
  24. 9
  25. 12
  26. 5
  27. 2
  28. 12
  29. 10
  30. 10
  31. 10
  32. 6
  33. 6
  34. 28
  35. 15
  36. 7
  37. 2
  38. 5
  39. 15
  40. 15

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