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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 38 · 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: 6(n + 2) = 18. What is n?
  2. 2.Solve: 7(n + 8) = 63. What is n?
  3. 3.Solve: 3y + 19 = 52. What is y?
  4. 4.Pooja thinks of a number, multiplies it by 4 and then adds 5. The result is 49. What is the number?
  5. 5.Solve: y/6 + 18 = 21. What is y?
  6. 6.Dev is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  7. 7.Solve: 7y + 28 = 42. What is y?
  8. 8.Solve: 7p − 60 = 38. What is p?
  9. 9.Solve: 7x − 5 = 2. What is x?
  10. 10.Solve: m/5 + 5 = 17. What is m?
  11. 11.Solve: 5(y + 1) = 10. What is y?
  12. 12.Solve: 7t + 30 = 51. What is t?
  13. 13.Solve: y/7 + 8 = 19. What is y?
  14. 14.Gurpreet thinks of a number, multiplies it by 6 and then adds 2. The result is 74. What is the number?
  15. 15.Kabir is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  16. 16.Solve: 2x − 3 = 3. What is x?
  17. 17.Solve: 5(p + 2) = 20. What is p?
  18. 18.Solve: 7t − 55 = 15. What is t?
  19. 19.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 18 years. How old is Lakshmi?
  20. 20.Kabir thinks of a number, multiplies it by 8 and then adds 1. The result is 33. What is the number?
  21. 21.Solve: 6(t + 3) = 84. What is t?
  22. 22.Karan thinks of a number, multiplies it by 3 and then adds 16. The result is 25. What is the number?
  23. 23.Diya thinks of a number, multiplies it by 5 and then adds 9. The result is 29. What is the number?
  24. 24.Solve: 2x + 23 = 47. What is x?
  25. 25.Solve: 7p + 15 = 85. What is p?
  26. 26.Solve: y/2 + 7 = 18. What is y?
  27. 27.Solve: 3t + 20 = 59. What is t?
  28. 28.Solve: 5x − 4 = 1. What is x?
  29. 29.Kavya thinks of a number, multiplies it by 2 and then adds 2. The result is 24. What is the number?
  30. 30.Meera’s mother is three times as old as Meera. Their ages add up to 40 years. How old is Meera?
  31. 31.Solve: 7x + 16 = 30. What is x?
  32. 32.Solve: n/3 + 7 = 18. What is n?
  33. 33.Solve: 6(m + 1) = 18. What is m?
  34. 34.Solve: 7(n + 9) = 70. What is n?
  35. 35.Solve: 3y − 1 = 8. What is y?
  36. 36.Farhan thinks of a number, multiplies it by 6 and then adds 9. The result is 27. What is the number?
  37. 37.Solve: 6(m + 3) = 102. What is m?
  38. 38.Solve: 8(x + 5) = 112. What is x?
  39. 39.Solve: 4(y + 8) = 40. What is y?
  40. 40.Solve: 2(n + 4) = 20. What is n?

Answer key

  1. 1
  2. 1
  3. 11
  4. 11
  5. 18
  6. 14
  7. 2
  8. 14
  9. 1
  10. 60
  11. 1
  12. 3
  13. 77
  14. 12
  15. 11
  16. 3
  17. 2
  18. 10
  19. 6
  20. 4
  21. 11
  22. 3
  23. 4
  24. 12
  25. 10
  26. 22
  27. 13
  28. 1
  29. 11
  30. 10
  31. 2
  32. 33
  33. 2
  34. 1
  35. 3
  36. 3
  37. 14
  38. 9
  39. 2
  40. 6

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