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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 741 · 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: 5y + 25 = 50. What is y?
  2. 2.Saanvi thinks of a number, multiplies it by 4 and then adds 8. The result is 12. What is the number?
  3. 3.Solve: 3x + 5 = 23. What is x?
  4. 4.Aditya’s mother is four times as old as Aditya. Their ages add up to 45 years. How old is Aditya?
  5. 5.Kabir thinks of a number, multiplies it by 2 and then adds 14. The result is 28. What is the number?
  6. 6.Solve: 2y − 6 = 6. What is y?
  7. 7.Solve: 9(y + 7) = 162. What is y?
  8. 8.Solve: 8y − 94 = 26. What is y?
  9. 9.Solve: p/3 + 19 = 31. What is p?
  10. 10.Solve: 3(x + 2) = 15. What is x?
  11. 11.Solve: 2(t + 7) = 36. What is t?
  12. 12.Solve: n/2 + 5 = 17. What is n?
  13. 13.Solve: 8(p + 2) = 56. What is p?
  14. 14.Kabir thinks of a number, multiplies it by 6 and then adds 30. The result is 42. What is the number?
  15. 15.Manav thinks of a number, multiplies it by 4 and then adds 16. The result is 36. What is the number?
  16. 16.Solve: 2(t + 5) = 18. What is t?
  17. 17.Solve: 2(t + 3) = 10. What is t?
  18. 18.Rohan’s mother is three times as old as Rohan. Their ages add up to 36 years. How old is Rohan?
  19. 19.Solve: 2(y + 8) = 30. What is y?
  20. 20.Karan thinks of a number, multiplies it by 5 and then adds 14. The result is 54. What is the number?
  21. 21.Solve: t/5 + 3 = 9. What is t?
  22. 22.Solve: m/8 + 10 = 18. What is m?
  23. 23.Solve: x/4 + 2 = 8. What is x?
  24. 24.Solve: 6n + 3 = 75. What is n?
  25. 25.Solve: 9n − 21 = 6. What is n?
  26. 26.Solve: 7p + 28 = 56. What is p?
  27. 27.Tara is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  28. 28.Solve: 6m − 5 = 55. What is m?
  29. 29.Farhan thinks of a number, multiplies it by 4 and then adds 20. The result is 32. What is the number?
  30. 30.Solve: 7(x + 9) = 154. What is x?
  31. 31.Pooja is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  32. 32.Solve: 5n − 4 = 36. What is n?
  33. 33.Solve: p/5 + 5 = 19. What is p?
  34. 34.Pooja thinks of a number, multiplies it by 8 and then adds 14. The result is 38. What is the number?
  35. 35.Solve: 2y + 27 = 53. What is y?
  36. 36.Joseph thinks of a number, multiplies it by 3 and then adds 18. The result is 27. What is the number?
  37. 37.Solve: y/6 + 19 = 31. What is y?
  38. 38.Nisha thinks of a number, multiplies it by 3 and then adds 18. The result is 27. What is the number?
  39. 39.Solve: 7t − 26 = 9. What is t?
  40. 40.Solve: 4(n + 8) = 36. What is n?

Answer key

  1. 5
  2. 1
  3. 6
  4. 9
  5. 7
  6. 6
  7. 11
  8. 15
  9. 36
  10. 3
  11. 11
  12. 24
  13. 5
  14. 2
  15. 5
  16. 4
  17. 2
  18. 9
  19. 7
  20. 8
  21. 30
  22. 64
  23. 24
  24. 12
  25. 3
  26. 4
  27. 7
  28. 10
  29. 3
  30. 13
  31. 15
  32. 8
  33. 70
  34. 3
  35. 13
  36. 3
  37. 72
  38. 3
  39. 5
  40. 1

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