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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 480 · 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.Diya thinks of a number, multiplies it by 5 and then adds 9. The result is 74. What is the number?
  2. 2.Kavya thinks of a number, multiplies it by 4 and then adds 26. The result is 30. What is the number?
  3. 3.Solve: p/4 + 18 = 22. What is p?
  4. 4.Solve: 7(n + 3) = 112. What is n?
  5. 5.Solve: 4p + 5 = 21. What is p?
  6. 6.Solve: 7n + 11 = 109. What is n?
  7. 7.Solve: 3m + 5 = 38. What is m?
  8. 8.Solve: 9(m + 5) = 171. What is m?
  9. 9.Kabir thinks of a number, multiplies it by 4 and then adds 10. The result is 54. What is the number?
  10. 10.Arjun thinks of a number, multiplies it by 7 and then adds 16. The result is 93. What is the number?
  11. 11.Aditya thinks of a number, multiplies it by 7 and then adds 27. The result is 76. What is the number?
  12. 12.Solve: p/8 + 3 = 4. What is p?
  13. 13.Solve: 3(p + 6) = 48. What is p?
  14. 14.Solve: 4y + 27 = 71. What is y?
  15. 15.Solve: m/7 + 6 = 14. What is m?
  16. 16.Aditya’s mother is three times as old as Aditya. Their ages add up to 48 years. How old is Aditya?
  17. 17.Solve: 4n − 5 = 11. What is n?
  18. 18.Solve: 9p − 53 = 73. What is p?
  19. 19.Solve: 8(p + 8) = 112. What is p?
  20. 20.Solve: 6(n + 9) = 66. What is n?
  21. 21.Solve: 2p + 13 = 29. What is p?
  22. 22.Solve: 5y − 6 = 24. What is y?
  23. 23.Priya is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  24. 24.Solve: 5m + 10 = 15. What is m?
  25. 25.Solve: 5n + 27 = 37. What is n?
  26. 26.Diya’s mother is three times as old as Diya. Their ages add up to 36 years. How old is Diya?
  27. 27.Solve: 4(m + 6) = 44. What is m?
  28. 28.Solve: n/4 + 20 = 29. What is n?
  29. 29.Kabir thinks of a number, multiplies it by 4 and then adds 27. The result is 63. What is the number?
  30. 30.Solve: 4n + 7 = 47. What is n?
  31. 31.Solve: 2y + 2 = 8. What is y?
  32. 32.Solve: 4t − 48 = 4. What is t?
  33. 33.Solve: 4(x + 9) = 76. What is x?
  34. 34.Solve: m/8 + 16 = 28. What is m?
  35. 35.Solve: 8x + 2 = 42. What is x?
  36. 36.Solve: 3t − 1 = 2. What is t?
  37. 37.Solve: 9m + 27 = 90. What is m?
  38. 38.Solve: m/4 + 12 = 16. What is m?
  39. 39.Solve: 4y + 11 = 19. What is y?
  40. 40.Solve: 3m + 1 = 19. What is m?

Answer key

  1. 13
  2. 1
  3. 16
  4. 13
  5. 4
  6. 14
  7. 11
  8. 14
  9. 11
  10. 11
  11. 7
  12. 8
  13. 10
  14. 11
  15. 56
  16. 12
  17. 4
  18. 14
  19. 6
  20. 2
  21. 8
  22. 6
  23. 8
  24. 1
  25. 2
  26. 9
  27. 5
  28. 36
  29. 9
  30. 10
  31. 3
  32. 13
  33. 10
  34. 96
  35. 5
  36. 1
  37. 7
  38. 16
  39. 2
  40. 6

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