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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 640 · 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: x/6 + 12 = 14. What is x?
  2. 2.Solve: 3(n + 7) = 42. What is n?
  3. 3.Solve: 9(m + 3) = 45. What is m?
  4. 4.Zoya thinks of a number, multiplies it by 7 and then adds 9. The result is 65. What is the number?
  5. 5.Dev is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  6. 6.Solve: 3m − 2 = 7. What is m?
  7. 7.Solve: 3x + 23 = 59. What is x?
  8. 8.Solve: 2n − 2 = 26. What is n?
  9. 9.Aditya is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  10. 10.Solve: p/8 + 20 = 22. What is p?
  11. 11.Solve: y/4 + 5 = 19. What is y?
  12. 12.Ananya thinks of a number, multiplies it by 3 and then adds 16. The result is 58. What is the number?
  13. 13.Isha’s mother is twice as old as Isha. Their ages add up to 33 years. How old is Isha?
  14. 14.Solve: 9(y + 3) = 54. What is y?
  15. 15.Ananya thinks of a number, multiplies it by 9 and then adds 16. The result is 106. What is the number?
  16. 16.Solve: 5m + 10 = 35. What is m?
  17. 17.Rahul thinks of a number, multiplies it by 8 and then adds 19. The result is 59. What is the number?
  18. 18.Solve: 6(y + 4) = 60. What is y?
  19. 19.Solve: 5(x + 7) = 70. What is x?
  20. 20.Solve: 6y − 12 = 60. What is y?
  21. 21.Solve: y/5 + 12 = 17. What is y?
  22. 22.Solve: t/6 + 2 = 12. What is t?
  23. 23.Solve: 4p + 17 = 73. What is p?
  24. 24.Kavya is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  25. 25.Solve: 2(x + 5) = 12. What is x?
  26. 26.Solve: 6(y + 3) = 102. What is y?
  27. 27.Ishaan thinks of a number, multiplies it by 5 and then adds 3. The result is 48. What is the number?
  28. 28.Solve: 3x − 11 = 13. What is x?
  29. 29.Solve: 4(x + 1) = 60. What is x?
  30. 30.Riya is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  31. 31.Solve: 9p − 2 = 16. What is p?
  32. 32.Solve: x/9 + 16 = 19. What is x?
  33. 33.Solve: y/4 + 5 = 6. What is y?
  34. 34.Zoya’s mother is twice as old as Zoya. Their ages add up to 39 years. How old is Zoya?
  35. 35.Solve: 9y + 17 = 125. What is y?
  36. 36.Solve: 3(m + 7) = 36. What is m?
  37. 37.Dev thinks of a number, multiplies it by 2 and then adds 8. The result is 32. What is the number?
  38. 38.Aarav thinks of a number, multiplies it by 7 and then adds 2. The result is 51. What is the number?
  39. 39.Manav thinks of a number, multiplies it by 9 and then adds 16. The result is 70. What is the number?
  40. 40.Aarav thinks of a number, multiplies it by 8 and then adds 20. The result is 92. What is the number?

Answer key

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

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