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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 824 · 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.Lakshmi thinks of a number, multiplies it by 9 and then adds 9. The result is 63. What is the number?
  2. 2.Saanvi thinks of a number, multiplies it by 7 and then adds 1. The result is 22. What is the number?
  3. 3.Solve: 4p − 14 = 10. What is p?
  4. 4.Solve: 8(m + 1) = 56. What is m?
  5. 5.Solve: 2y + 16 = 32. What is y?
  6. 6.Ishaan thinks of a number, multiplies it by 7 and then adds 10. The result is 17. What is the number?
  7. 7.Solve: 3(m + 5) = 54. What is m?
  8. 8.Nisha is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  9. 9.Solve: 9(t + 8) = 90. What is t?
  10. 10.Solve: 2p − 3 = 13. What is p?
  11. 11.Solve: 3(y + 2) = 33. What is y?
  12. 12.Solve: 8y + 15 = 47. What is y?
  13. 13.Nisha thinks of a number, multiplies it by 6 and then adds 4. The result is 10. What is the number?
  14. 14.Solve: m/7 + 15 = 27. What is m?
  15. 15.Solve: 6p − 19 = 65. What is p?
  16. 16.Solve: p/4 + 6 = 21. What is p?
  17. 17.Diya thinks of a number, multiplies it by 8 and then adds 14. The result is 78. What is the number?
  18. 18.Pooja thinks of a number, multiplies it by 6 and then adds 24. The result is 30. What is the number?
  19. 19.Solve: 9m + 14 = 149. What is m?
  20. 20.Solve: m/7 + 3 = 17. What is m?
  21. 21.Nisha is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  22. 22.Rohan’s mother is three times as old as Rohan. Their ages add up to 56 years. How old is Rohan?
  23. 23.Solve: p/4 + 1 = 11. What is p?
  24. 24.Solve: 8y + 2 = 10. What is y?
  25. 25.Solve: x/2 + 17 = 23. What is x?
  26. 26.Solve: 9p − 44 = 73. What is p?
  27. 27.Solve: 8p + 24 = 64. What is p?
  28. 28.Solve: 4(n + 3) = 56. What is n?
  29. 29.Solve: y/5 + 10 = 19. What is y?
  30. 30.Meera thinks of a number, multiplies it by 7 and then adds 16. The result is 23. What is the number?
  31. 31.Rohan is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  32. 32.Dev thinks of a number, multiplies it by 3 and then adds 9. The result is 21. What is the number?
  33. 33.Solve: 4(m + 8) = 72. What is m?
  34. 34.Aditya’s mother is twice as old as Aditya. Their ages add up to 18 years. How old is Aditya?
  35. 35.Solve: m/4 + 11 = 26. What is m?
  36. 36.Sneha thinks of a number, multiplies it by 9 and then adds 2. The result is 11. What is the number?
  37. 37.Aditya is 8 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  38. 38.Solve: 2y + 8 = 32. What is y?
  39. 39.Riya thinks of a number, multiplies it by 7 and then adds 8. The result is 50. What is the number?
  40. 40.Solve: 5y − 27 = 8. What is y?

Answer key

  1. 6
  2. 3
  3. 6
  4. 6
  5. 8
  6. 1
  7. 13
  8. 12
  9. 2
  10. 8
  11. 9
  12. 4
  13. 1
  14. 84
  15. 14
  16. 60
  17. 8
  18. 1
  19. 15
  20. 98
  21. 7
  22. 14
  23. 40
  24. 1
  25. 12
  26. 13
  27. 5
  28. 11
  29. 45
  30. 1
  31. 12
  32. 4
  33. 10
  34. 6
  35. 60
  36. 1
  37. 8
  38. 12
  39. 6
  40. 7

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