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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 955 · 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: 7(y + 4) = 49. What is y?
  2. 2.Solve: 9y + 5 = 104. What is y?
  3. 3.Solve: 8t + 23 = 55. What is t?
  4. 4.Solve: 2(m + 9) = 38. What is m?
  5. 5.Solve: 3y − 18 = 18. What is y?
  6. 6.Nisha thinks of a number, multiplies it by 3 and then adds 2. The result is 11. What is the number?
  7. 7.Solve: 7y + 16 = 86. What is y?
  8. 8.Solve: 6p + 6 = 54. What is p?
  9. 9.Solve: 2(p + 3) = 16. What is p?
  10. 10.Solve: 3m − 4 = 11. What is m?
  11. 11.Solve: 9y − 24 = 21. What is y?
  12. 12.Solve: 5m − 4 = 56. What is m?
  13. 13.Manav thinks of a number, multiplies it by 7 and then adds 14. The result is 28. What is the number?
  14. 14.Solve: y/8 + 10 = 14. What is y?
  15. 15.Solve: 2(t + 1) = 20. What is t?
  16. 16.Rahul thinks of a number, multiplies it by 7 and then adds 7. The result is 14. What is the number?
  17. 17.Solve: 8(p + 6) = 144. What is p?
  18. 18.Solve: 8t + 27 = 123. What is t?
  19. 19.Solve: t/3 + 11 = 18. What is t?
  20. 20.Solve: 9(t + 5) = 144. What is t?
  21. 21.Solve: 8m − 59 = 5. What is m?
  22. 22.Solve: 7(t + 3) = 112. What is t?
  23. 23.Nisha thinks of a number, multiplies it by 3 and then adds 1. The result is 43. What is the number?
  24. 24.Solve: 2(m + 5) = 40. What is m?
  25. 25.Solve: 4x − 19 = 17. What is x?
  26. 26.Solve: 3x − 20 = 25. What is x?
  27. 27.Solve: 2(t + 2) = 26. What is t?
  28. 28.Solve: t/6 + 1 = 15. What is t?
  29. 29.Solve: 2n + 14 = 22. What is n?
  30. 30.Solve: 3n − 11 = 4. What is n?
  31. 31.Solve: 9(m + 2) = 63. What is m?
  32. 32.Ananya’s mother is three times as old as Ananya. Their ages add up to 32 years. How old is Ananya?
  33. 33.Arjun thinks of a number, multiplies it by 3 and then adds 12. The result is 36. What is the number?
  34. 34.Meera thinks of a number, multiplies it by 9 and then adds 19. The result is 82. What is the number?
  35. 35.Solve: 7(y + 7) = 56. What is y?
  36. 36.Solve: 7y − 67 = 38. What is y?
  37. 37.Aditya is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  38. 38.Solve: 8y + 20 = 52. What is y?
  39. 39.Solve: 6n + 29 = 59. What is n?
  40. 40.Solve: 3y + 4 = 16. What is y?

Answer key

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

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