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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 336 · 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.Nisha’s mother is four times as old as Nisha. Their ages add up to 60 years. How old is Nisha?
  2. 2.Solve: 7y − 84 = 21. What is y?
  3. 3.Solve: 4x + 9 = 21. What is x?
  4. 4.Solve: 8y − 63 = 1. What is y?
  5. 5.Solve: 5x + 14 = 34. What is x?
  6. 6.Solve: 4(y + 8) = 76. What is y?
  7. 7.Solve: 2(p + 4) = 18. What is p?
  8. 8.Sneha is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  9. 9.Priya’s mother is twice as old as Priya. Their ages add up to 24 years. How old is Priya?
  10. 10.Solve: 9t − 20 = 52. What is t?
  11. 11.Solve: 7n + 25 = 46. What is n?
  12. 12.Solve: 8(x + 2) = 104. What is x?
  13. 13.Ishaan is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  14. 14.Solve: n/6 + 16 = 20. What is n?
  15. 15.Solve: 6n + 23 = 59. What is n?
  16. 16.Solve: 4(n + 5) = 24. What is n?
  17. 17.Solve: 6(p + 3) = 54. What is p?
  18. 18.Solve: 2(t + 1) = 14. What is t?
  19. 19.Solve: 3x + 12 = 21. What is x?
  20. 20.Solve: 3m + 6 = 15. What is m?
  21. 21.Solve: 4x − 36 = 20. What is x?
  22. 22.Solve: m/6 + 6 = 13. What is m?
  23. 23.Solve: 6(y + 2) = 18. What is y?
  24. 24.Solve: 6(y + 5) = 48. What is y?
  25. 25.Solve: 4t − 8 = 36. What is t?
  26. 26.Kabir thinks of a number, multiplies it by 6 and then adds 30. The result is 54. What is the number?
  27. 27.Solve: 3n + 28 = 67. What is n?
  28. 28.Solve: m/5 + 5 = 20. What is m?
  29. 29.Solve: 5t − 14 = 26. What is t?
  30. 30.Nisha thinks of a number, multiplies it by 7 and then adds 29. The result is 50. What is the number?
  31. 31.Solve: 6(x + 9) = 108. What is x?
  32. 32.Solve: 3x − 34 = 11. What is x?
  33. 33.Solve: t/3 + 3 = 5. What is t?
  34. 34.Tara is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  35. 35.Solve: 6n + 26 = 56. What is n?
  36. 36.Solve: 8n + 12 = 36. What is n?
  37. 37.Pooja is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  38. 38.Riya thinks of a number, multiplies it by 7 and then adds 13. The result is 55. What is the number?
  39. 39.Solve: n/4 + 3 = 17. What is n?
  40. 40.Solve: 5t + 22 = 52. What is t?

Answer key

  1. 12
  2. 15
  3. 3
  4. 8
  5. 4
  6. 11
  7. 5
  8. 15
  9. 8
  10. 8
  11. 3
  12. 11
  13. 7
  14. 24
  15. 6
  16. 1
  17. 6
  18. 6
  19. 3
  20. 3
  21. 14
  22. 42
  23. 1
  24. 3
  25. 11
  26. 4
  27. 13
  28. 75
  29. 8
  30. 3
  31. 9
  32. 15
  33. 6
  34. 4
  35. 5
  36. 3
  37. 7
  38. 6
  39. 56
  40. 6

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