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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 613 · 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.Sneha is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  2. 2.Solve: 3(x + 4) = 57. What is x?
  3. 3.Solve: 2x + 15 = 23. What is x?
  4. 4.Aditya is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  5. 5.Solve: 6(x + 7) = 60. What is x?
  6. 6.Solve: t/2 + 10 = 21. What is t?
  7. 7.Solve: n/9 + 11 = 19. What is n?
  8. 8.Farhan thinks of a number, multiplies it by 9 and then adds 22. The result is 112. What is the number?
  9. 9.Solve: 2m − 8 = 10. What is m?
  10. 10.Solve: y/4 + 14 = 18. What is y?
  11. 11.Lakshmi thinks of a number, multiplies it by 2 and then adds 5. The result is 17. What is the number?
  12. 12.Solve: 2p − 5 = 13. What is p?
  13. 13.Solve: n/8 + 10 = 21. What is n?
  14. 14.Solve: p/5 + 5 = 14. What is p?
  15. 15.Solve: 5x + 26 = 81. What is x?
  16. 16.Solve: 5t + 9 = 74. What is t?
  17. 17.Solve: 7n + 1 = 106. What is n?
  18. 18.Solve: 4x + 4 = 28. What is x?
  19. 19.Kavya’s mother is four times as old as Kavya. Their ages add up to 20 years. How old is Kavya?
  20. 20.Solve: 3(p + 4) = 42. What is p?
  21. 21.Solve: y/3 + 18 = 26. What is y?
  22. 22.Solve: 2x − 7 = 17. What is x?
  23. 23.Joseph’s mother is twice as old as Joseph. Their ages add up to 36 years. How old is Joseph?
  24. 24.Solve: y/6 + 5 = 11. What is y?
  25. 25.Kavya thinks of a number, multiplies it by 6 and then adds 25. The result is 43. What is the number?
  26. 26.Solve: x/9 + 3 = 6. What is x?
  27. 27.Isha’s mother is three times as old as Isha. Their ages add up to 16 years. How old is Isha?
  28. 28.Solve: 2(y + 2) = 20. What is y?
  29. 29.Zoya thinks of a number, multiplies it by 9 and then adds 11. The result is 137. What is the number?
  30. 30.Solve: 9(y + 8) = 180. What is y?
  31. 31.Solve: 3n − 15 = 9. What is n?
  32. 32.Karan’s mother is four times as old as Karan. Their ages add up to 65 years. How old is Karan?
  33. 33.Solve: 8m + 7 = 87. What is m?
  34. 34.Solve: 9m + 23 = 104. What is m?
  35. 35.Solve: 9m + 2 = 65. What is m?
  36. 36.Solve: 2y − 2 = 4. What is y?
  37. 37.Solve: 2m − 4 = 6. What is m?
  38. 38.Solve: p/2 + 4 = 11. What is p?
  39. 39.Solve: 5(t + 5) = 50. What is t?
  40. 40.Nisha’s mother is twice as old as Nisha. Their ages add up to 30 years. How old is Nisha?

Answer key

  1. 9
  2. 15
  3. 4
  4. 5
  5. 3
  6. 22
  7. 72
  8. 10
  9. 9
  10. 16
  11. 6
  12. 9
  13. 88
  14. 45
  15. 11
  16. 13
  17. 15
  18. 6
  19. 4
  20. 10
  21. 24
  22. 12
  23. 12
  24. 36
  25. 3
  26. 27
  27. 4
  28. 8
  29. 14
  30. 12
  31. 8
  32. 13
  33. 10
  34. 9
  35. 7
  36. 3
  37. 5
  38. 14
  39. 5
  40. 10

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