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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 976 · 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: y/6 + 18 = 32. What is y?
  2. 2.Riya’s mother is four times as old as Riya. Their ages add up to 30 years. How old is Riya?
  3. 3.Solve: 9x + 26 = 35. What is x?
  4. 4.Solve: 3(t + 5) = 33. What is t?
  5. 5.Solve: 9y − 3 = 78. What is y?
  6. 6.Solve: y/2 + 9 = 24. What is y?
  7. 7.Solve: y/8 + 3 = 4. What is y?
  8. 8.Solve: 5y − 12 = 8. What is y?
  9. 9.Solve: m/4 + 16 = 22. What is m?
  10. 10.Solve: 4(n + 1) = 60. What is n?
  11. 11.Solve: 4t + 24 = 32. What is t?
  12. 12.Solve: 3n + 8 = 38. What is n?
  13. 13.Solve: 3x − 22 = 11. What is x?
  14. 14.Solve: 2p − 11 = 9. What is p?
  15. 15.Solve: 7m + 10 = 17. What is m?
  16. 16.Solve: 2n + 26 = 52. What is n?
  17. 17.Aarav thinks of a number, multiplies it by 8 and then adds 25. The result is 89. What is the number?
  18. 18.Solve: 2(y + 4) = 26. What is y?
  19. 19.Solve: t/5 + 4 = 19. What is t?
  20. 20.Solve: 9x − 4 = 104. What is x?
  21. 21.Kabir is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  22. 22.Solve: 4t + 3 = 11. What is t?
  23. 23.Solve: 8m + 28 = 36. What is m?
  24. 24.Solve: 5p − 2 = 8. What is p?
  25. 25.Solve: n/2 + 15 = 20. What is n?
  26. 26.Solve: 2(m + 7) = 22. What is m?
  27. 27.Solve: 2(p + 2) = 32. What is p?
  28. 28.Solve: m/4 + 18 = 30. What is m?
  29. 29.Lakshmi thinks of a number, multiplies it by 3 and then adds 7. The result is 49. What is the number?
  30. 30.Solve: 7t − 4 = 3. What is t?
  31. 31.Meera’s mother is four times as old as Meera. Their ages add up to 60 years. How old is Meera?
  32. 32.Manav thinks of a number, multiplies it by 8 and then adds 6. The result is 54. What is the number?
  33. 33.Solve: 3(x + 4) = 18. What is x?
  34. 34.Solve: 7(n + 1) = 42. What is n?
  35. 35.Solve: p/4 + 17 = 30. What is p?
  36. 36.Solve: p/3 + 8 = 17. What is p?
  37. 37.Solve: x/6 + 11 = 25. What is x?
  38. 38.Solve: 3y − 1 = 5. What is y?
  39. 39.Solve: 9n + 13 = 40. What is n?
  40. 40.Priya is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?

Answer key

  1. 84
  2. 6
  3. 1
  4. 6
  5. 9
  6. 30
  7. 8
  8. 4
  9. 24
  10. 14
  11. 2
  12. 10
  13. 11
  14. 10
  15. 1
  16. 13
  17. 8
  18. 9
  19. 75
  20. 12
  21. 5
  22. 2
  23. 1
  24. 2
  25. 10
  26. 4
  27. 14
  28. 48
  29. 14
  30. 1
  31. 12
  32. 6
  33. 2
  34. 5
  35. 52
  36. 27
  37. 84
  38. 2
  39. 3
  40. 8

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