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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 588 · 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.Isha thinks of a number, multiplies it by 5 and then adds 7. The result is 52. What is the number?
  2. 2.Zoya’s mother is twice as old as Zoya. Their ages add up to 21 years. How old is Zoya?
  3. 3.Solve: 6m − 6 = 24. What is m?
  4. 4.Solve: 5m − 62 = 13. What is m?
  5. 5.Solve: 9t + 29 = 56. What is t?
  6. 6.Solve: 7p + 3 = 87. What is p?
  7. 7.Solve: 4p − 2 = 22. What is p?
  8. 8.Solve: 6(t + 5) = 84. What is t?
  9. 9.Solve: 5x − 36 = 24. What is x?
  10. 10.Solve: 6y + 4 = 52. What is y?
  11. 11.Arjun thinks of a number, multiplies it by 7 and then adds 18. The result is 46. What is the number?
  12. 12.Solve: 3(y + 9) = 33. What is y?
  13. 13.Kavya thinks of a number, multiplies it by 3 and then adds 23. The result is 29. What is the number?
  14. 14.Solve: 4y − 25 = 3. What is y?
  15. 15.Solve: x/7 + 14 = 19. What is x?
  16. 16.Solve: p/4 + 5 = 9. What is p?
  17. 17.Solve: 2y − 15 = 15. What is y?
  18. 18.Meera’s mother is four times as old as Meera. Their ages add up to 70 years. How old is Meera?
  19. 19.Manav thinks of a number, multiplies it by 9 and then adds 7. The result is 25. What is the number?
  20. 20.Solve: 6(t + 7) = 66. What is t?
  21. 21.Solve: 2y − 10 = 10. What is y?
  22. 22.Solve: y/9 + 16 = 18. What is y?
  23. 23.Ishaan is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  24. 24.Solve: 8p + 28 = 124. What is p?
  25. 25.Solve: 8n − 21 = 51. What is n?
  26. 26.Solve: 3(y + 6) = 30. What is y?
  27. 27.Ishaan thinks of a number, multiplies it by 2 and then adds 12. The result is 16. What is the number?
  28. 28.Solve: m/8 + 3 = 8. What is m?
  29. 29.Diya’s mother is twice as old as Diya. Their ages add up to 36 years. How old is Diya?
  30. 30.Solve: 3(t + 6) = 24. What is t?
  31. 31.Solve: 7x − 10 = 53. What is x?
  32. 32.Solve: 3y − 11 = 13. What is y?
  33. 33.Solve: 2t + 16 = 34. What is t?
  34. 34.Solve: 4(n + 9) = 72. What is n?
  35. 35.Solve: m/5 + 9 = 24. What is m?
  36. 36.Solve: 5x + 2 = 47. What is x?
  37. 37.Solve: 9(y + 3) = 36. What is y?
  38. 38.Solve: 5n − 2 = 13. What is n?
  39. 39.Solve: m/6 + 8 = 12. What is m?
  40. 40.Solve: 3(x + 2) = 48. What is x?

Answer key

  1. 9
  2. 7
  3. 5
  4. 15
  5. 3
  6. 12
  7. 6
  8. 9
  9. 12
  10. 8
  11. 4
  12. 2
  13. 2
  14. 7
  15. 35
  16. 16
  17. 15
  18. 14
  19. 2
  20. 4
  21. 10
  22. 18
  23. 15
  24. 12
  25. 9
  26. 4
  27. 2
  28. 40
  29. 12
  30. 2
  31. 9
  32. 8
  33. 9
  34. 9
  35. 75
  36. 9
  37. 1
  38. 3
  39. 24
  40. 14

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