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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 669 · 40 sums
TalentJR

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.Rohan thinks of a number, multiplies it by 6 and then adds 29. The result is 77. What is the number?
  2. 2.Solve: 3x + 3 = 48. What is x?
  3. 3.Solve: 7t − 60 = 24. What is t?
  4. 4.Solve: 3m − 12 = 6. What is m?
  5. 5.Rohan thinks of a number, multiplies it by 8 and then adds 9. The result is 25. What is the number?
  6. 6.Solve: 2(t + 5) = 34. What is t?
  7. 7.Solve: 9(x + 3) = 54. What is x?
  8. 8.Solve: 6p + 9 = 21. What is p?
  9. 9.Zoya thinks of a number, multiplies it by 7 and then adds 6. The result is 13. What is the number?
  10. 10.Solve: 9(y + 9) = 216. What is y?
  11. 11.Solve: 8y + 23 = 103. What is y?
  12. 12.Solve: 6m − 2 = 10. What is m?
  13. 13.Solve: p/7 + 1 = 4. What is p?
  14. 14.Solve: 3y − 2 = 4. What is y?
  15. 15.Solve: 8m + 20 = 84. What is m?
  16. 16.Solve: x/9 + 15 = 30. What is x?
  17. 17.Solve: 3y − 6 = 3. What is y?
  18. 18.Solve: m/3 + 16 = 27. What is m?
  19. 19.Isha thinks of a number, multiplies it by 2 and then adds 16. The result is 34. What is the number?
  20. 20.Solve: 3(y + 9) = 30. What is y?
  21. 21.Solve: 5(y + 5) = 35. What is y?
  22. 22.Solve: 5(n + 8) = 50. What is n?
  23. 23.Solve: m/5 + 13 = 24. What is m?
  24. 24.Kabir thinks of a number, multiplies it by 8 and then adds 15. The result is 87. What is the number?
  25. 25.Diya is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  26. 26.Solve: 9p + 19 = 64. What is p?
  27. 27.Solve: 5(m + 7) = 100. What is m?
  28. 28.Meera’s mother is three times as old as Meera. Their ages add up to 52 years. How old is Meera?
  29. 29.Solve: 9n − 11 = 7. What is n?
  30. 30.Aditya thinks of a number, multiplies it by 5 and then adds 12. The result is 37. What is the number?
  31. 31.Solve: 2m − 29 = 1. What is m?
  32. 32.Solve: 7t + 23 = 58. What is t?
  33. 33.Solve: 5x − 9 = 6. What is x?
  34. 34.Solve: m/4 + 17 = 21. What is m?
  35. 35.Solve: 5n + 1 = 36. What is n?
  36. 36.Zoya is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  37. 37.Karan is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  38. 38.Solve: 2(p + 3) = 30. What is p?
  39. 39.Rohan thinks of a number, multiplies it by 2 and then adds 23. The result is 37. What is the number?
  40. 40.Solve: x/5 + 7 = 11. What is x?

Answer key

  1. 8
  2. 15
  3. 12
  4. 6
  5. 2
  6. 12
  7. 3
  8. 2
  9. 1
  10. 15
  11. 10
  12. 2
  13. 21
  14. 2
  15. 8
  16. 135
  17. 3
  18. 33
  19. 9
  20. 1
  21. 2
  22. 2
  23. 55
  24. 9
  25. 4
  26. 5
  27. 13
  28. 13
  29. 2
  30. 5
  31. 15
  32. 5
  33. 3
  34. 16
  35. 7
  36. 4
  37. 13
  38. 12
  39. 7
  40. 20

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