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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 388 · 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: 8t − 2 = 6. What is t?
  2. 2.Solve: 7n − 25 = 31. What is n?
  3. 3.Zoya thinks of a number, multiplies it by 9 and then adds 3. The result is 84. What is the number?
  4. 4.Solve: 6n + 6 = 42. What is n?
  5. 5.Solve: x/4 + 6 = 10. What is x?
  6. 6.Solve: 4x − 13 = 11. What is x?
  7. 7.Solve: 3t − 1 = 41. What is t?
  8. 8.Solve: m/6 + 2 = 13. What is m?
  9. 9.Solve: p/3 + 2 = 7. What is p?
  10. 10.Solve: 7p + 24 = 122. What is p?
  11. 11.Solve: 5p − 33 = 22. What is p?
  12. 12.Solve: 4n + 18 = 50. What is n?
  13. 13.Aditya thinks of a number, multiplies it by 4 and then adds 9. The result is 21. What is the number?
  14. 14.Farhan’s mother is three times as old as Farhan. Their ages add up to 40 years. How old is Farhan?
  15. 15.Kavya thinks of a number, multiplies it by 2 and then adds 4. The result is 24. What is the number?
  16. 16.Solve: 8y + 2 = 66. What is y?
  17. 17.Solve: n/8 + 6 = 11. What is n?
  18. 18.Solve: 7y − 5 = 37. What is y?
  19. 19.Solve: 9x + 11 = 29. What is x?
  20. 20.Pooja is 4 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  21. 21.Diya is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  22. 22.Solve: 7y − 4 = 10. What is y?
  23. 23.Joseph thinks of a number, multiplies it by 7 and then adds 22. The result is 85. What is the number?
  24. 24.Solve: 7(n + 1) = 98. What is n?
  25. 25.Lakshmi thinks of a number, multiplies it by 5 and then adds 5. The result is 20. What is the number?
  26. 26.Solve: y/6 + 4 = 14. What is y?
  27. 27.Riya thinks of a number, multiplies it by 3 and then adds 28. The result is 73. What is the number?
  28. 28.Solve: 7m − 69 = 22. What is m?
  29. 29.Solve: 6x − 5 = 1. What is x?
  30. 30.Solve: 3t − 11 = 13. What is t?
  31. 31.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 20 years. How old is Saanvi?
  32. 32.Solve: t/8 + 13 = 23. What is t?
  33. 33.Solve: 8y − 23 = 81. What is y?
  34. 34.Solve: 3(x + 2) = 45. What is x?
  35. 35.Solve: 2y + 28 = 36. What is y?
  36. 36.Solve: 7(n + 4) = 84. What is n?
  37. 37.Solve: n/9 + 2 = 13. What is n?
  38. 38.Solve: 8(y + 9) = 96. What is y?
  39. 39.Sneha thinks of a number, multiplies it by 2 and then adds 25. The result is 31. What is the number?
  40. 40.Solve: y/8 + 11 = 24. What is y?

Answer key

  1. 1
  2. 8
  3. 9
  4. 6
  5. 16
  6. 6
  7. 14
  8. 66
  9. 15
  10. 14
  11. 11
  12. 8
  13. 3
  14. 10
  15. 10
  16. 8
  17. 40
  18. 6
  19. 2
  20. 15
  21. 11
  22. 2
  23. 9
  24. 13
  25. 3
  26. 60
  27. 15
  28. 13
  29. 1
  30. 8
  31. 5
  32. 80
  33. 13
  34. 13
  35. 4
  36. 8
  37. 99
  38. 3
  39. 3
  40. 104

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