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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 878 · 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: 3y + 8 = 50. What is y?
  2. 2.Solve: 5(y + 9) = 100. What is y?
  3. 3.Solve: 5y + 24 = 44. What is y?
  4. 4.Solve: 8y − 51 = 5. What is y?
  5. 5.Arjun is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  6. 6.Solve: 8p − 28 = 36. What is p?
  7. 7.Priya thinks of a number, multiplies it by 9 and then adds 23. The result is 149. What is the number?
  8. 8.Solve: 6y + 15 = 69. What is y?
  9. 9.Solve: 4x + 20 = 56. What is x?
  10. 10.Solve: 7t − 16 = 47. What is t?
  11. 11.Solve: m/7 + 15 = 21. What is m?
  12. 12.Solve: 6p + 18 = 60. What is p?
  13. 13.Kavya is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  14. 14.Solve: n/3 + 3 = 16. What is n?
  15. 15.Nisha’s mother is three times as old as Nisha. Their ages add up to 52 years. How old is Nisha?
  16. 16.Solve: 3t − 7 = 2. What is t?
  17. 17.Solve: y/3 + 20 = 25. What is y?
  18. 18.Kabir thinks of a number, multiplies it by 3 and then adds 1. The result is 19. What is the number?
  19. 19.Solve: y/4 + 4 = 11. What is y?
  20. 20.Solve: 7n − 75 = 30. What is n?
  21. 21.Solve: n/9 + 19 = 34. What is n?
  22. 22.Solve: 5m + 6 = 26. What is m?
  23. 23.Solve: p/3 + 5 = 7. What is p?
  24. 24.Solve: 3x + 18 = 39. What is x?
  25. 25.Rohan is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  26. 26.Aarav is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  27. 27.Aditya is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  28. 28.Solve: t/7 + 17 = 30. What is t?
  29. 29.Manav thinks of a number, multiplies it by 5 and then adds 8. The result is 28. What is the number?
  30. 30.Solve: 3(p + 8) = 63. What is p?
  31. 31.Solve: 6p − 6 = 42. What is p?
  32. 32.Solve: 8p + 5 = 21. What is p?
  33. 33.Solve: 6t − 7 = 23. What is t?
  34. 34.Solve: 7n − 30 = 12. What is n?
  35. 35.Solve: 8(y + 1) = 16. What is y?
  36. 36.Solve: 8t + 1 = 9. What is t?
  37. 37.Diya thinks of a number, multiplies it by 2 and then adds 12. The result is 28. What is the number?
  38. 38.Solve: 7m + 17 = 38. What is m?
  39. 39.Solve: 9x − 21 = 6. What is x?
  40. 40.Solve: 6x − 24 = 12. What is x?

Answer key

  1. 14
  2. 11
  3. 4
  4. 7
  5. 8
  6. 8
  7. 14
  8. 9
  9. 9
  10. 9
  11. 42
  12. 7
  13. 12
  14. 39
  15. 13
  16. 3
  17. 15
  18. 6
  19. 28
  20. 15
  21. 135
  22. 4
  23. 6
  24. 7
  25. 4
  26. 15
  27. 12
  28. 91
  29. 4
  30. 13
  31. 8
  32. 2
  33. 5
  34. 6
  35. 1
  36. 1
  37. 8
  38. 3
  39. 3
  40. 6

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