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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 11 · 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: 6m − 11 = 25. What is m?
  2. 2.Solve: 4x − 21 = 3. What is x?
  3. 3.Aditya thinks of a number, multiplies it by 8 and then adds 5. The result is 45. What is the number?
  4. 4.Solve: 5t + 28 = 58. What is t?
  5. 5.Pooja thinks of a number, multiplies it by 8 and then adds 26. The result is 66. What is the number?
  6. 6.Solve: p/2 + 15 = 19. What is p?
  7. 7.Solve: 9p − 1 = 35. What is p?
  8. 8.Solve: m/5 + 10 = 12. What is m?
  9. 9.Solve: 2t − 1 = 1. What is t?
  10. 10.Solve: 2(n + 9) = 46. What is n?
  11. 11.Isha thinks of a number, multiplies it by 2 and then adds 22. The result is 50. What is the number?
  12. 12.Solve: 5m − 9 = 21. What is m?
  13. 13.Solve: 5x + 1 = 26. What is x?
  14. 14.Solve: 9m − 16 = 56. What is m?
  15. 15.Vivaan is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  16. 16.Solve: t/9 + 20 = 27. What is t?
  17. 17.Manav thinks of a number, multiplies it by 4 and then adds 21. The result is 69. What is the number?
  18. 18.Solve: 5n − 3 = 27. What is n?
  19. 19.Solve: 6p + 8 = 20. What is p?
  20. 20.Solve: 7(n + 7) = 77. What is n?
  21. 21.Nisha is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  22. 22.Solve: 8y − 26 = 46. What is y?
  23. 23.Joseph’s mother is three times as old as Joseph. Their ages add up to 48 years. How old is Joseph?
  24. 24.Solve: 4p + 14 = 62. What is p?
  25. 25.Lakshmi thinks of a number, multiplies it by 3 and then adds 2. The result is 20. What is the number?
  26. 26.Solve: 4y + 30 = 50. What is y?
  27. 27.Solve: 6(m + 5) = 108. What is m?
  28. 28.Solve: x/5 + 10 = 12. What is x?
  29. 29.Solve: 2t − 11 = 11. What is t?
  30. 30.Ananya is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  31. 31.Riya is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  32. 32.Solve: 8n − 6 = 18. What is n?
  33. 33.Solve: 5t + 18 = 48. What is t?
  34. 34.Solve: 8(t + 5) = 80. What is t?
  35. 35.Solve: 9(n + 1) = 27. What is n?
  36. 36.Solve: x/4 + 2 = 12. What is x?
  37. 37.Tara is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  38. 38.Solve: 2x + 30 = 52. What is x?
  39. 39.Solve: 3n − 11 = 10. What is n?
  40. 40.Solve: 8(y + 4) = 120. What is y?

Answer key

  1. 6
  2. 6
  3. 5
  4. 6
  5. 5
  6. 8
  7. 4
  8. 10
  9. 1
  10. 14
  11. 14
  12. 6
  13. 5
  14. 8
  15. 14
  16. 63
  17. 12
  18. 6
  19. 2
  20. 4
  21. 7
  22. 9
  23. 12
  24. 12
  25. 6
  26. 5
  27. 13
  28. 10
  29. 11
  30. 4
  31. 15
  32. 3
  33. 6
  34. 5
  35. 2
  36. 40
  37. 4
  38. 11
  39. 7
  40. 11

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