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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 934 · 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: 8(t + 9) = 112. What is t?
  2. 2.Solve: 2(x + 4) = 38. What is x?
  3. 3.Solve: 4(n + 8) = 64. What is n?
  4. 4.Solve: 6m − 21 = 57. What is m?
  5. 5.Solve: 7n + 13 = 111. What is n?
  6. 6.Solve: 9y − 61 = 11. What is y?
  7. 7.Solve: 6x + 24 = 66. What is x?
  8. 8.Meera’s mother is three times as old as Meera. Their ages add up to 20 years. How old is Meera?
  9. 9.Isha’s mother is three times as old as Isha. Their ages add up to 16 years. How old is Isha?
  10. 10.Solve: 8(x + 2) = 96. What is x?
  11. 11.Kabir’s mother is four times as old as Kabir. Their ages add up to 30 years. How old is Kabir?
  12. 12.Solve: 4(m + 4) = 28. What is m?
  13. 13.Isha’s mother is four times as old as Isha. Their ages add up to 70 years. How old is Isha?
  14. 14.Solve: n/5 + 6 = 17. What is n?
  15. 15.Solve: 5y + 9 = 79. What is y?
  16. 16.Dev thinks of a number, multiplies it by 8 and then adds 17. The result is 129. What is the number?
  17. 17.Rohan is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  18. 18.Solve: 6(y + 4) = 60. What is y?
  19. 19.Solve: 8y − 60 = 4. What is y?
  20. 20.Solve: 3(p + 9) = 45. What is p?
  21. 21.Priya thinks of a number, multiplies it by 8 and then adds 27. The result is 83. What is the number?
  22. 22.Solve: 9(n + 8) = 162. What is n?
  23. 23.Solve: 6(n + 2) = 42. What is n?
  24. 24.Lakshmi is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  25. 25.Solve: t/4 + 19 = 26. What is t?
  26. 26.Solve: n/8 + 17 = 30. What is n?
  27. 27.Solve: 2t + 29 = 57. What is t?
  28. 28.Solve: 5x − 16 = 19. What is x?
  29. 29.Pooja’s mother is twice as old as Pooja. Their ages add up to 30 years. How old is Pooja?
  30. 30.Solve: y/5 + 13 = 15. What is y?
  31. 31.Solve: y/3 + 12 = 23. What is y?
  32. 32.Aarav thinks of a number, multiplies it by 3 and then adds 15. The result is 51. What is the number?
  33. 33.Solve: 2(p + 1) = 26. What is p?
  34. 34.Saanvi thinks of a number, multiplies it by 7 and then adds 6. The result is 111. What is the number?
  35. 35.Solve: x/7 + 9 = 17. What is x?
  36. 36.Solve: y/6 + 18 = 25. What is y?
  37. 37.Solve: 7y + 4 = 18. What is y?
  38. 38.Manav thinks of a number, multiplies it by 7 and then adds 18. The result is 81. What is the number?
  39. 39.Kabir thinks of a number, multiplies it by 3 and then adds 13. The result is 55. What is the number?
  40. 40.Vivaan is 5 years older than a cousin. Their ages add up to 31 years. How old is the cousin?

Answer key

  1. 5
  2. 15
  3. 8
  4. 13
  5. 14
  6. 8
  7. 7
  8. 5
  9. 4
  10. 10
  11. 6
  12. 3
  13. 14
  14. 55
  15. 14
  16. 14
  17. 9
  18. 6
  19. 8
  20. 6
  21. 7
  22. 10
  23. 5
  24. 11
  25. 28
  26. 104
  27. 14
  28. 7
  29. 10
  30. 10
  31. 33
  32. 12
  33. 12
  34. 15
  35. 56
  36. 42
  37. 2
  38. 9
  39. 14
  40. 13

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