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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 767 · 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: 5x − 40 = 25. What is x?
  2. 2.Solve: 6(x + 5) = 108. What is x?
  3. 3.Solve: 3n + 23 = 53. What is n?
  4. 4.Solve: 6(y + 9) = 120. What is y?
  5. 5.Ishaan thinks of a number, multiplies it by 4 and then adds 17. The result is 41. What is the number?
  6. 6.Solve: 9x + 1 = 55. What is x?
  7. 7.Joseph thinks of a number, multiplies it by 3 and then adds 14. The result is 50. What is the number?
  8. 8.Solve: 4(m + 4) = 36. What is m?
  9. 9.Diya thinks of a number, multiplies it by 3 and then adds 15. The result is 54. What is the number?
  10. 10.Solve: 5(y + 7) = 60. What is y?
  11. 11.Vivaan thinks of a number, multiplies it by 2 and then adds 7. The result is 17. What is the number?
  12. 12.Solve: 8x − 4 = 68. What is x?
  13. 13.Manav is 4 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  14. 14.Solve: 3y + 17 = 23. What is y?
  15. 15.Pooja’s mother is four times as old as Pooja. Their ages add up to 40 years. How old is Pooja?
  16. 16.Solve: 5n + 20 = 25. What is n?
  17. 17.Solve: 7x + 6 = 20. What is x?
  18. 18.Solve: 7x − 6 = 57. What is x?
  19. 19.Solve: x/3 + 4 = 15. What is x?
  20. 20.Solve: 4m + 30 = 62. What is m?
  21. 21.Solve: 2m + 3 = 23. What is m?
  22. 22.Solve: 5(t + 6) = 40. What is t?
  23. 23.Solve: n/2 + 12 = 18. What is n?
  24. 24.Solve: n/5 + 2 = 3. What is n?
  25. 25.Solve: 7(m + 5) = 98. What is m?
  26. 26.Solve: 3n + 16 = 19. What is n?
  27. 27.Solve: 9p − 66 = 33. What is p?
  28. 28.Aditya thinks of a number, multiplies it by 2 and then adds 6. The result is 20. What is the number?
  29. 29.Priya thinks of a number, multiplies it by 8 and then adds 24. The result is 136. What is the number?
  30. 30.Gurpreet thinks of a number, multiplies it by 8 and then adds 19. The result is 51. What is the number?
  31. 31.Solve: t/3 + 15 = 18. What is t?
  32. 32.Solve: 8x + 1 = 41. What is x?
  33. 33.Solve: 6(p + 8) = 90. What is p?
  34. 34.Isha’s mother is three times as old as Isha. Their ages add up to 40 years. How old is Isha?
  35. 35.Solve: 9y − 46 = 62. What is y?
  36. 36.Solve: 7m − 29 = 13. What is m?
  37. 37.Riya thinks of a number, multiplies it by 5 and then adds 3. The result is 13. What is the number?
  38. 38.Solve: 7n − 8 = 6. What is n?
  39. 39.Solve: y/5 + 14 = 22. What is y?
  40. 40.Solve: 6y − 33 = 39. What is y?

Answer key

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

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