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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 631 · 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.Solve: 6(x + 3) = 102. What is x?
  2. 2.Solve: 6p + 3 = 33. What is p?
  3. 3.Solve: 6t + 12 = 36. What is t?
  4. 4.Solve: 8y − 50 = 14. What is y?
  5. 5.Solve: 4y − 31 = 29. What is y?
  6. 6.Lakshmi thinks of a number, multiplies it by 2 and then adds 2. The result is 10. What is the number?
  7. 7.Solve: m/2 + 16 = 24. What is m?
  8. 8.Solve: 2y − 10 = 8. What is y?
  9. 9.Solve: 6(p + 1) = 54. What is p?
  10. 10.Solve: 8(p + 2) = 24. What is p?
  11. 11.Solve: 7m + 7 = 49. What is m?
  12. 12.Solve: 4n − 16 = 4. What is n?
  13. 13.Farhan is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  14. 14.Solve: 3t + 2 = 44. What is t?
  15. 15.Solve: p/2 + 8 = 11. What is p?
  16. 16.Solve: 3(m + 9) = 30. What is m?
  17. 17.Solve: 9p + 10 = 145. What is p?
  18. 18.Solve: 2y + 22 = 24. What is y?
  19. 19.Solve: 3(p + 9) = 30. What is p?
  20. 20.Aarav thinks of a number, multiplies it by 2 and then adds 21. The result is 43. What is the number?
  21. 21.Zoya thinks of a number, multiplies it by 6 and then adds 24. The result is 90. What is the number?
  22. 22.Solve: m/9 + 19 = 27. What is m?
  23. 23.Solve: p/8 + 17 = 29. What is p?
  24. 24.Priya is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  25. 25.Solve: 8t − 57 = 31. What is t?
  26. 26.Solve: 7x + 21 = 70. What is x?
  27. 27.Solve: 5m − 2 = 13. What is m?
  28. 28.Diya thinks of a number, multiplies it by 6 and then adds 12. The result is 66. What is the number?
  29. 29.Rahul’s mother is twice as old as Rahul. Their ages add up to 33 years. How old is Rahul?
  30. 30.Solve: 4p − 12 = 48. What is p?
  31. 31.Solve: 3(n + 6) = 36. What is n?
  32. 32.Manav is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  33. 33.Solve: 4x + 18 = 70. What is x?
  34. 34.Solve: 4p + 8 = 16. What is p?
  35. 35.Solve: 5(x + 6) = 60. What is x?
  36. 36.Solve: 3t + 27 = 57. What is t?
  37. 37.Solve: 2m + 30 = 58. What is m?
  38. 38.Arjun’s mother is four times as old as Arjun. Their ages add up to 30 years. How old is Arjun?
  39. 39.Solve: 6m − 1 = 5. What is m?
  40. 40.Solve: 8p − 76 = 4. What is p?

Answer key

  1. 14
  2. 5
  3. 4
  4. 8
  5. 15
  6. 4
  7. 16
  8. 9
  9. 8
  10. 1
  11. 6
  12. 5
  13. 7
  14. 14
  15. 6
  16. 1
  17. 15
  18. 1
  19. 1
  20. 11
  21. 11
  22. 72
  23. 96
  24. 5
  25. 11
  26. 7
  27. 3
  28. 9
  29. 11
  30. 15
  31. 6
  32. 13
  33. 13
  34. 2
  35. 6
  36. 10
  37. 14
  38. 6
  39. 1
  40. 10

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