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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 294 · 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: 8y + 13 = 45. What is y?
  2. 2.Sneha thinks of a number, multiplies it by 3 and then adds 24. The result is 45. What is the number?
  3. 3.Solve: 5n − 71 = 4. What is n?
  4. 4.Solve: 9x + 25 = 43. What is x?
  5. 5.Solve: y/3 + 16 = 18. What is y?
  6. 6.Solve: 9m − 24 = 21. What is m?
  7. 7.Ishaan is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  8. 8.Solve: 3n + 2 = 47. What is n?
  9. 9.Solve: m/7 + 15 = 25. What is m?
  10. 10.Solve: t/6 + 16 = 21. What is t?
  11. 11.Riya thinks of a number, multiplies it by 6 and then adds 9. The result is 51. What is the number?
  12. 12.Arjun’s mother is four times as old as Arjun. Their ages add up to 60 years. How old is Arjun?
  13. 13.Solve: 4x + 27 = 67. What is x?
  14. 14.Solve: 6(t + 8) = 54. What is t?
  15. 15.Solve: 8t − 65 = 31. What is t?
  16. 16.Aditya thinks of a number, multiplies it by 4 and then adds 29. The result is 49. What is the number?
  17. 17.Solve: 8m + 5 = 125. What is m?
  18. 18.Solve: 8x + 9 = 49. What is x?
  19. 19.Solve: 3(n + 6) = 24. What is n?
  20. 20.Solve: p/8 + 3 = 14. What is p?
  21. 21.Diya’s mother is twice as old as Diya. Their ages add up to 15 years. How old is Diya?
  22. 22.Solve: 7x + 1 = 22. What is x?
  23. 23.Solve: 4m + 4 = 32. What is m?
  24. 24.Solve: 7x + 5 = 54. What is x?
  25. 25.Solve: 6(p + 2) = 30. What is p?
  26. 26.Ishaan thinks of a number, multiplies it by 8 and then adds 4. The result is 124. What is the number?
  27. 27.Solve: 5(x + 2) = 35. What is x?
  28. 28.Solve: 6y + 8 = 62. What is y?
  29. 29.Solve: 9(m + 7) = 171. What is m?
  30. 30.Solve: 4t + 17 = 77. What is t?
  31. 31.Solve: y/8 + 7 = 9. What is y?
  32. 32.Pooja’s mother is four times as old as Pooja. Their ages add up to 45 years. How old is Pooja?
  33. 33.Solve: 5x − 29 = 6. What is x?
  34. 34.Solve: 2y + 15 = 41. What is y?
  35. 35.Lakshmi is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  36. 36.Priya is 2 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  37. 37.Solve: y/9 + 19 = 32. What is y?
  38. 38.Solve: t/4 + 19 = 25. What is t?
  39. 39.Tara’s mother is four times as old as Tara. Their ages add up to 25 years. How old is Tara?
  40. 40.Solve: 5x − 6 = 39. What is x?

Answer key

  1. 4
  2. 7
  3. 15
  4. 2
  5. 6
  6. 5
  7. 14
  8. 15
  9. 70
  10. 30
  11. 7
  12. 12
  13. 10
  14. 1
  15. 12
  16. 5
  17. 15
  18. 5
  19. 2
  20. 88
  21. 5
  22. 3
  23. 7
  24. 7
  25. 3
  26. 15
  27. 5
  28. 9
  29. 12
  30. 15
  31. 16
  32. 9
  33. 7
  34. 13
  35. 8
  36. 9
  37. 117
  38. 24
  39. 5
  40. 9

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