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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 833 · 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 5 and then adds 8. The result is 63. What is the number?
  2. 2.Solve: 7m − 12 = 79. What is m?
  3. 3.Farhan thinks of a number, multiplies it by 6 and then adds 13. The result is 49. What is the number?
  4. 4.Solve: 3(p + 9) = 36. What is p?
  5. 5.Ananya’s mother is twice as old as Ananya. Their ages add up to 45 years. How old is Ananya?
  6. 6.Solve: n/7 + 3 = 7. What is n?
  7. 7.Pooja thinks of a number, multiplies it by 6 and then adds 23. The result is 113. What is the number?
  8. 8.Solve: 6m + 14 = 92. What is m?
  9. 9.Solve: 5n + 3 = 8. What is n?
  10. 10.Aarav thinks of a number, multiplies it by 3 and then adds 21. The result is 54. What is the number?
  11. 11.Sneha is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  12. 12.Solve: 2(t + 3) = 26. What is t?
  13. 13.Solve: 3p + 15 = 42. What is p?
  14. 14.Solve: 9n + 5 = 50. What is n?
  15. 15.Dev thinks of a number, multiplies it by 7 and then adds 22. The result is 50. What is the number?
  16. 16.Solve: 9n + 14 = 149. What is n?
  17. 17.Solve: 6n − 2 = 4. What is n?
  18. 18.Solve: x/4 + 13 = 23. What is x?
  19. 19.Aditya thinks of a number, multiplies it by 2 and then adds 6. The result is 10. What is the number?
  20. 20.Solve: 8y − 41 = 71. What is y?
  21. 21.Nisha thinks of a number, multiplies it by 5 and then adds 16. The result is 56. What is the number?
  22. 22.Solve: 5x + 5 = 50. What is x?
  23. 23.Solve: p/4 + 7 = 10. What is p?
  24. 24.Dev thinks of a number, multiplies it by 3 and then adds 21. The result is 57. What is the number?
  25. 25.Manav thinks of a number, multiplies it by 7 and then adds 18. The result is 102. What is the number?
  26. 26.Sneha thinks of a number, multiplies it by 2 and then adds 7. The result is 11. What is the number?
  27. 27.Solve: 5n − 19 = 16. What is n?
  28. 28.Solve: 2n + 28 = 48. What is n?
  29. 29.Solve: 4m + 5 = 45. What is m?
  30. 30.Joseph is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  31. 31.Solve: 7x − 70 = 21. What is x?
  32. 32.Solve: 6(x + 7) = 54. What is x?
  33. 33.Diya thinks of a number, multiplies it by 3 and then adds 20. The result is 38. What is the number?
  34. 34.Solve: 7x − 89 = 16. What is x?
  35. 35.Sneha’s mother is three times as old as Sneha. Their ages add up to 60 years. How old is Sneha?
  36. 36.Pooja’s mother is three times as old as Pooja. Their ages add up to 28 years. How old is Pooja?
  37. 37.Solve: x/4 + 10 = 15. What is x?
  38. 38.Solve: 4p + 7 = 27. What is p?
  39. 39.Solve: x/6 + 16 = 28. What is x?
  40. 40.Solve: m/3 + 12 = 17. What is m?

Answer key

  1. 11
  2. 13
  3. 6
  4. 3
  5. 15
  6. 28
  7. 15
  8. 13
  9. 1
  10. 11
  11. 7
  12. 10
  13. 9
  14. 5
  15. 4
  16. 15
  17. 1
  18. 40
  19. 2
  20. 14
  21. 8
  22. 9
  23. 12
  24. 12
  25. 12
  26. 2
  27. 7
  28. 10
  29. 10
  30. 9
  31. 13
  32. 2
  33. 6
  34. 15
  35. 15
  36. 7
  37. 20
  38. 5
  39. 72
  40. 15

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