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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 979 · 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: 7n − 3 = 18. What is n?
  2. 2.Solve: 4x − 9 = 3. What is x?
  3. 3.Solve: 2p − 6 = 10. What is p?
  4. 4.Solve: 2(x + 7) = 32. What is x?
  5. 5.Solve: 6t + 28 = 40. What is t?
  6. 6.Priya thinks of a number, multiplies it by 3 and then adds 12. The result is 21. What is the number?
  7. 7.Solve: 3x − 14 = 25. What is x?
  8. 8.Solve: 2t − 5 = 25. What is t?
  9. 9.Kabir thinks of a number, multiplies it by 3 and then adds 3. The result is 21. What is the number?
  10. 10.Pooja thinks of a number, multiplies it by 3 and then adds 27. The result is 63. What is the number?
  11. 11.Solve: y/2 + 6 = 10. What is y?
  12. 12.Solve: 9m − 14 = 22. What is m?
  13. 13.Solve: 9n − 13 = 50. What is n?
  14. 14.Solve: 8x − 52 = 4. What is x?
  15. 15.Solve: 3m − 5 = 25. What is m?
  16. 16.Lakshmi thinks of a number, multiplies it by 2 and then adds 16. The result is 30. What is the number?
  17. 17.Rohan is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  18. 18.Solve: 3m − 19 = 5. What is m?
  19. 19.Solve: 4(m + 1) = 36. What is m?
  20. 20.Solve: 6t + 5 = 77. What is t?
  21. 21.Solve: y/5 + 16 = 20. What is y?
  22. 22.Solve: 8p − 5 = 59. What is p?
  23. 23.Solve: 3y + 4 = 40. What is y?
  24. 24.Solve: 9(m + 3) = 54. What is m?
  25. 25.Solve: 5y + 2 = 22. What is y?
  26. 26.Solve: p/4 + 5 = 11. What is p?
  27. 27.Solve: 3n + 23 = 50. What is n?
  28. 28.Solve: 3m + 12 = 18. What is m?
  29. 29.Dev thinks of a number, multiplies it by 8 and then adds 2. The result is 74. What is the number?
  30. 30.Solve: t/2 + 14 = 19. What is t?
  31. 31.Isha’s mother is four times as old as Isha. Their ages add up to 50 years. How old is Isha?
  32. 32.Solve: 2(x + 2) = 8. What is x?
  33. 33.Solve: x/5 + 13 = 20. What is x?
  34. 34.Solve: 8(t + 1) = 112. What is t?
  35. 35.Solve: 4m + 20 = 36. What is m?
  36. 36.Solve: 8n + 14 = 38. What is n?
  37. 37.Ananya is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  38. 38.Solve: 3p + 30 = 39. What is p?
  39. 39.Solve: 6(n + 1) = 66. What is n?
  40. 40.Solve: t/3 + 6 = 18. What is t?

Answer key

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

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