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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 641 · 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: y/4 + 6 = 13. What is y?
  2. 2.Rohan thinks of a number, multiplies it by 9 and then adds 19. The result is 127. What is the number?
  3. 3.Solve: 6m − 2 = 4. What is m?
  4. 4.Solve: 3(p + 9) = 39. What is p?
  5. 5.Solve: 9y − 4 = 32. What is y?
  6. 6.Solve: 6n − 50 = 4. What is n?
  7. 7.Solve: 6y − 69 = 21. What is y?
  8. 8.Solve: 7t + 17 = 66. What is t?
  9. 9.Solve: 9t − 5 = 13. What is t?
  10. 10.Solve: p/2 + 19 = 22. What is p?
  11. 11.Solve: 8n + 11 = 131. What is n?
  12. 12.Diya thinks of a number, multiplies it by 3 and then adds 18. The result is 51. What is the number?
  13. 13.Solve: 8(m + 7) = 144. What is m?
  14. 14.Saanvi thinks of a number, multiplies it by 6 and then adds 8. The result is 80. What is the number?
  15. 15.Solve: 8x + 30 = 86. What is x?
  16. 16.Solve: 6x + 25 = 73. What is x?
  17. 17.Nisha thinks of a number, multiplies it by 9 and then adds 13. The result is 139. What is the number?
  18. 18.Solve: 2y + 2 = 4. What is y?
  19. 19.Solve: 8(p + 1) = 24. What is p?
  20. 20.Solve: 5m + 1 = 16. What is m?
  21. 21.Solve: 9t + 23 = 113. What is t?
  22. 22.Solve: 5(n + 6) = 105. What is n?
  23. 23.Karan thinks of a number, multiplies it by 4 and then adds 14. The result is 62. What is the number?
  24. 24.Meera’s mother is four times as old as Meera. Their ages add up to 35 years. How old is Meera?
  25. 25.Solve: 4y + 24 = 44. What is y?
  26. 26.Solve: p/4 + 1 = 12. What is p?
  27. 27.Solve: 3p + 3 = 15. What is p?
  28. 28.Meera thinks of a number, multiplies it by 3 and then adds 22. The result is 31. What is the number?
  29. 29.Solve: 9y + 17 = 26. What is y?
  30. 30.Solve: 2t − 14 = 8. What is t?
  31. 31.Rahul thinks of a number, multiplies it by 8 and then adds 7. The result is 79. What is the number?
  32. 32.Solve: 2n − 11 = 13. What is n?
  33. 33.Kabir thinks of a number, multiplies it by 2 and then adds 22. The result is 46. What is the number?
  34. 34.Saanvi thinks of a number, multiplies it by 9 and then adds 30. The result is 48. What is the number?
  35. 35.Kabir thinks of a number, multiplies it by 2 and then adds 15. The result is 17. What is the number?
  36. 36.Solve: 3p + 7 = 37. What is p?
  37. 37.Solve: 6t + 6 = 48. What is t?
  38. 38.Solve: 9(x + 2) = 36. What is x?
  39. 39.Meera is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  40. 40.Solve: 7m − 11 = 66. What is m?

Answer key

  1. 28
  2. 12
  3. 1
  4. 4
  5. 4
  6. 9
  7. 15
  8. 7
  9. 2
  10. 6
  11. 15
  12. 11
  13. 11
  14. 12
  15. 7
  16. 8
  17. 14
  18. 1
  19. 2
  20. 3
  21. 10
  22. 15
  23. 12
  24. 7
  25. 5
  26. 44
  27. 4
  28. 3
  29. 1
  30. 11
  31. 9
  32. 12
  33. 12
  34. 2
  35. 1
  36. 10
  37. 7
  38. 2
  39. 7
  40. 11

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