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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 845 · 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: t/3 + 8 = 21. What is t?
  2. 2.Solve: n/3 + 11 = 13. What is n?
  3. 3.Solve: 5y − 4 = 1. What is y?
  4. 4.Meera thinks of a number, multiplies it by 5 and then adds 9. The result is 24. What is the number?
  5. 5.Ishaan thinks of a number, multiplies it by 3 and then adds 5. The result is 8. What is the number?
  6. 6.Solve: x/7 + 11 = 12. What is x?
  7. 7.Solve: 2y + 19 = 35. What is y?
  8. 8.Isha thinks of a number, multiplies it by 6 and then adds 5. The result is 35. What is the number?
  9. 9.Solve: x/4 + 7 = 22. What is x?
  10. 10.Solve: n/4 + 4 = 8. What is n?
  11. 11.Solve: 9(y + 2) = 45. What is y?
  12. 12.Aarav thinks of a number, multiplies it by 2 and then adds 11. The result is 31. What is the number?
  13. 13.Solve: y/8 + 10 = 17. What is y?
  14. 14.Solve: 2(n + 3) = 18. What is n?
  15. 15.Kavya thinks of a number, multiplies it by 8 and then adds 14. The result is 54. What is the number?
  16. 16.Isha’s mother is twice as old as Isha. Their ages add up to 42 years. How old is Isha?
  17. 17.Saanvi thinks of a number, multiplies it by 8 and then adds 24. The result is 48. What is the number?
  18. 18.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 18 years. How old is Saanvi?
  19. 19.Solve: 8n − 51 = 21. What is n?
  20. 20.Solve: 3(m + 8) = 39. What is m?
  21. 21.Solve: x/9 + 1 = 11. What is x?
  22. 22.Solve: y/5 + 20 = 30. What is y?
  23. 23.Riya is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  24. 24.Dev thinks of a number, multiplies it by 9 and then adds 6. The result is 42. What is the number?
  25. 25.Solve: 8(y + 3) = 40. What is y?
  26. 26.Solve: 7y − 2 = 5. What is y?
  27. 27.Kabir thinks of a number, multiplies it by 7 and then adds 19. The result is 117. What is the number?
  28. 28.Zoya thinks of a number, multiplies it by 3 and then adds 13. The result is 16. What is the number?
  29. 29.Solve: 3n + 17 = 26. What is n?
  30. 30.Solve: 4t + 4 = 12. What is t?
  31. 31.Saanvi thinks of a number, multiplies it by 5 and then adds 14. The result is 24. What is the number?
  32. 32.Solve: m/2 + 12 = 13. What is m?
  33. 33.Solve: 2p − 3 = 3. What is p?
  34. 34.Tara thinks of a number, multiplies it by 4 and then adds 26. The result is 50. What is the number?
  35. 35.Diya thinks of a number, multiplies it by 5 and then adds 30. The result is 35. What is the number?
  36. 36.Aarav’s mother is twice as old as Aarav. Their ages add up to 18 years. How old is Aarav?
  37. 37.Solve: p/2 + 17 = 22. What is p?
  38. 38.Aditya’s mother is twice as old as Aditya. Their ages add up to 42 years. How old is Aditya?
  39. 39.Solve: x/3 + 18 = 19. What is x?
  40. 40.Dev thinks of a number, multiplies it by 2 and then adds 13. The result is 27. What is the number?

Answer key

  1. 39
  2. 6
  3. 1
  4. 3
  5. 1
  6. 7
  7. 8
  8. 5
  9. 60
  10. 16
  11. 3
  12. 10
  13. 56
  14. 6
  15. 5
  16. 14
  17. 3
  18. 6
  19. 9
  20. 5
  21. 90
  22. 50
  23. 5
  24. 4
  25. 2
  26. 1
  27. 14
  28. 1
  29. 3
  30. 2
  31. 2
  32. 2
  33. 3
  34. 6
  35. 1
  36. 6
  37. 10
  38. 14
  39. 3
  40. 7

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