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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 790 · 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: 8p − 55 = 9. What is p?
  2. 2.Solve: 7(n + 1) = 105. What is n?
  3. 3.Solve: 2x − 3 = 3. What is x?
  4. 4.Solve: n/9 + 11 = 21. What is n?
  5. 5.Aditya thinks of a number, multiplies it by 9 and then adds 10. The result is 37. What is the number?
  6. 6.Solve: 5n + 28 = 78. What is n?
  7. 7.Solve: n/3 + 13 = 20. What is n?
  8. 8.Solve: 3t − 7 = 32. What is t?
  9. 9.Ananya thinks of a number, multiplies it by 6 and then adds 8. The result is 92. What is the number?
  10. 10.Solve: 8n + 27 = 99. What is n?
  11. 11.Rahul’s mother is four times as old as Rahul. Their ages add up to 30 years. How old is Rahul?
  12. 12.Solve: n/2 + 17 = 18. What is n?
  13. 13.Solve: 8t − 7 = 1. What is t?
  14. 14.Solve: 6p − 8 = 58. What is p?
  15. 15.Solve: 2x − 15 = 3. What is x?
  16. 16.Solve: 8(m + 5) = 96. What is m?
  17. 17.Solve: 8t + 1 = 41. What is t?
  18. 18.Solve: 7(x + 2) = 119. What is x?
  19. 19.Solve: 7(y + 7) = 147. What is y?
  20. 20.Dev is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  21. 21.Manav thinks of a number, multiplies it by 2 and then adds 21. The result is 33. What is the number?
  22. 22.Solve: x/6 + 7 = 15. What is x?
  23. 23.Solve: 8(x + 4) = 104. What is x?
  24. 24.Solve: 7t + 8 = 43. What is t?
  25. 25.Solve: 4(p + 7) = 52. What is p?
  26. 26.Solve: 4t + 28 = 76. What is t?
  27. 27.Solve: 2n − 6 = 4. What is n?
  28. 28.Rahul’s mother is four times as old as Rahul. Their ages add up to 25 years. How old is Rahul?
  29. 29.Solve: 4(t + 1) = 12. What is t?
  30. 30.Kabir is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  31. 31.Solve: m/5 + 17 = 27. What is m?
  32. 32.Solve: x/7 + 1 = 12. What is x?
  33. 33.Solve: 6n + 4 = 34. What is n?
  34. 34.Solve: 2x + 1 = 9. What is x?
  35. 35.Solve: 4x + 26 = 66. What is x?
  36. 36.Solve: 5n − 14 = 51. What is n?
  37. 37.Arjun thinks of a number, multiplies it by 3 and then adds 28. The result is 67. What is the number?
  38. 38.Solve: y/2 + 4 = 5. What is y?
  39. 39.Solve: t/9 + 10 = 19. What is t?
  40. 40.Diya thinks of a number, multiplies it by 7 and then adds 20. The result is 97. What is the number?

Answer key

  1. 8
  2. 14
  3. 3
  4. 90
  5. 3
  6. 10
  7. 21
  8. 13
  9. 14
  10. 9
  11. 6
  12. 2
  13. 1
  14. 11
  15. 9
  16. 7
  17. 5
  18. 15
  19. 14
  20. 15
  21. 6
  22. 48
  23. 9
  24. 5
  25. 6
  26. 12
  27. 5
  28. 5
  29. 2
  30. 8
  31. 50
  32. 77
  33. 5
  34. 4
  35. 10
  36. 13
  37. 13
  38. 2
  39. 81
  40. 11

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