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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 601 · 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: n/3 + 12 = 17. What is n?
  2. 2.Solve: 5n + 8 = 73. What is n?
  3. 3.Kavya’s mother is three times as old as Kavya. Their ages add up to 36 years. How old is Kavya?
  4. 4.Solve: 7m − 19 = 65. What is m?
  5. 5.Solve: 6n − 12 = 48. What is n?
  6. 6.Solve: 2p + 9 = 27. What is p?
  7. 7.Solve: 4x + 29 = 57. What is x?
  8. 8.Solve: 5y − 41 = 19. What is y?
  9. 9.Manav thinks of a number, multiplies it by 3 and then adds 22. The result is 43. What is the number?
  10. 10.Solve: n/3 + 9 = 13. What is n?
  11. 11.Kavya’s mother is three times as old as Kavya. Their ages add up to 20 years. How old is Kavya?
  12. 12.Solve: 2(x + 7) = 30. What is x?
  13. 13.Solve: 7n + 29 = 127. What is n?
  14. 14.Solve: 9x + 23 = 104. What is x?
  15. 15.Solve: 7x + 21 = 91. What is x?
  16. 16.Dev’s mother is twice as old as Dev. Their ages add up to 45 years. How old is Dev?
  17. 17.Solve: 9(t + 1) = 81. What is t?
  18. 18.Diya thinks of a number, multiplies it by 8 and then adds 28. The result is 116. What is the number?
  19. 19.Solve: 6m − 34 = 20. What is m?
  20. 20.Solve: 5p + 17 = 47. What is p?
  21. 21.Solve: 9(x + 3) = 99. What is x?
  22. 22.Joseph thinks of a number, multiplies it by 5 and then adds 2. The result is 22. What is the number?
  23. 23.Solve: p/7 + 1 = 9. What is p?
  24. 24.Solve: 5p − 8 = 7. What is p?
  25. 25.Tara thinks of a number, multiplies it by 4 and then adds 16. The result is 32. What is the number?
  26. 26.Solve: 7p + 2 = 72. What is p?
  27. 27.Solve: 3t + 13 = 34. What is t?
  28. 28.Rahul thinks of a number, multiplies it by 2 and then adds 5. The result is 35. What is the number?
  29. 29.Ishaan thinks of a number, multiplies it by 8 and then adds 27. The result is 139. What is the number?
  30. 30.Solve: m/3 + 15 = 16. What is m?
  31. 31.Solve: 5(n + 8) = 85. What is n?
  32. 32.Solve: p/2 + 5 = 11. What is p?
  33. 33.Solve: y/3 + 19 = 29. What is y?
  34. 34.Solve: 4x + 14 = 58. What is x?
  35. 35.Dev thinks of a number, multiplies it by 2 and then adds 12. The result is 34. What is the number?
  36. 36.Vivaan is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  37. 37.Solve: 5y + 29 = 99. What is y?
  38. 38.Solve: 4t − 1 = 7. What is t?
  39. 39.Isha thinks of a number, multiplies it by 7 and then adds 24. The result is 31. What is the number?
  40. 40.Solve: 6t + 10 = 46. What is t?

Answer key

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

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