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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 264 · 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.Farhan is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  2. 2.Solve: m/2 + 17 = 27. What is m?
  3. 3.Solve: x/7 + 14 = 15. What is x?
  4. 4.Solve: y/7 + 9 = 24. What is y?
  5. 5.Solve: p/4 + 8 = 11. What is p?
  6. 6.Gurpreet thinks of a number, multiplies it by 8 and then adds 24. The result is 64. What is the number?
  7. 7.Solve: 4n + 25 = 65. What is n?
  8. 8.Nisha is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  9. 9.Solve: n/8 + 6 = 17. What is n?
  10. 10.Solve: 4n − 17 = 43. What is n?
  11. 11.Solve: n/3 + 10 = 15. What is n?
  12. 12.Solve: 2n + 23 = 47. What is n?
  13. 13.Aditya thinks of a number, multiplies it by 4 and then adds 9. The result is 45. What is the number?
  14. 14.Solve: 8(p + 1) = 96. What is p?
  15. 15.Solve: 6(m + 4) = 84. What is m?
  16. 16.Sneha is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  17. 17.Zoya thinks of a number, multiplies it by 8 and then adds 20. The result is 76. What is the number?
  18. 18.Solve: 2t − 16 = 2. What is t?
  19. 19.Solve: 4t + 9 = 49. What is t?
  20. 20.Solve: t/9 + 12 = 18. What is t?
  21. 21.Solve: 3m + 15 = 33. What is m?
  22. 22.Aarav thinks of a number, multiplies it by 2 and then adds 29. The result is 53. What is the number?
  23. 23.Solve: 8(x + 6) = 96. What is x?
  24. 24.Solve: 2t + 20 = 48. What is t?
  25. 25.Solve: n/2 + 20 = 30. What is n?
  26. 26.Solve: 7p − 1 = 13. What is p?
  27. 27.Farhan thinks of a number, multiplies it by 5 and then adds 8. The result is 18. What is the number?
  28. 28.Solve: 7(y + 5) = 70. What is y?
  29. 29.Solve: 2n − 19 = 11. What is n?
  30. 30.Ishaan thinks of a number, multiplies it by 5 and then adds 18. The result is 28. What is the number?
  31. 31.Pooja is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  32. 32.Arjun thinks of a number, multiplies it by 3 and then adds 28. The result is 43. What is the number?
  33. 33.Nisha’s mother is three times as old as Nisha. Their ages add up to 36 years. How old is Nisha?
  34. 34.Karan thinks of a number, multiplies it by 3 and then adds 22. The result is 52. What is the number?
  35. 35.Solve: y/3 + 20 = 30. What is y?
  36. 36.Ananya thinks of a number, multiplies it by 5 and then adds 5. The result is 55. What is the number?
  37. 37.Solve: 6x + 1 = 85. What is x?
  38. 38.Farhan is 7 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  39. 39.Riya’s mother is three times as old as Riya. Their ages add up to 20 years. How old is Riya?
  40. 40.Solve: n/6 + 4 = 11. What is n?

Answer key

  1. 4
  2. 20
  3. 7
  4. 105
  5. 12
  6. 5
  7. 10
  8. 5
  9. 88
  10. 15
  11. 15
  12. 12
  13. 9
  14. 11
  15. 10
  16. 6
  17. 7
  18. 9
  19. 10
  20. 54
  21. 6
  22. 12
  23. 6
  24. 14
  25. 20
  26. 2
  27. 2
  28. 5
  29. 15
  30. 2
  31. 15
  32. 5
  33. 9
  34. 10
  35. 30
  36. 10
  37. 14
  38. 8
  39. 5
  40. 42

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