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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 99 · 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.Arjun is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  2. 2.Solve: y/3 + 18 = 32. What is y?
  3. 3.Solve: p/6 + 1 = 10. What is p?
  4. 4.Solve: 3(x + 1) = 15. What is x?
  5. 5.Solve: y/6 + 5 = 10. What is y?
  6. 6.Ananya’s mother is twice as old as Ananya. Their ages add up to 27 years. How old is Ananya?
  7. 7.Solve: 3x + 24 = 48. What is x?
  8. 8.Aditya thinks of a number, multiplies it by 7 and then adds 6. The result is 48. What is the number?
  9. 9.Isha thinks of a number, multiplies it by 6 and then adds 17. The result is 71. What is the number?
  10. 10.Solve: p/4 + 7 = 17. What is p?
  11. 11.Joseph thinks of a number, multiplies it by 9 and then adds 5. The result is 68. What is the number?
  12. 12.Solve: 9(t + 6) = 99. What is t?
  13. 13.Solve: 4(x + 8) = 52. What is x?
  14. 14.Meera’s mother is three times as old as Meera. Their ages add up to 24 years. How old is Meera?
  15. 15.Solve: 2n − 8 = 6. What is n?
  16. 16.Solve: 4(y + 3) = 56. What is y?
  17. 17.Meera’s mother is three times as old as Meera. Their ages add up to 56 years. How old is Meera?
  18. 18.Solve: p/2 + 19 = 22. What is p?
  19. 19.Solve: 6y − 11 = 13. What is y?
  20. 20.Solve: 7y + 12 = 103. What is y?
  21. 21.Joseph thinks of a number, multiplies it by 3 and then adds 25. The result is 43. What is the number?
  22. 22.Riya’s mother is three times as old as Riya. Their ages add up to 24 years. How old is Riya?
  23. 23.Solve: 9x − 15 = 21. What is x?
  24. 24.Solve: t/7 + 16 = 31. What is t?
  25. 25.Gurpreet thinks of a number, multiplies it by 8 and then adds 29. The result is 125. What is the number?
  26. 26.Solve: 5(n + 5) = 45. What is n?
  27. 27.Solve: 9m + 29 = 128. What is m?
  28. 28.Solve: 8x + 26 = 106. What is x?
  29. 29.Ishaan thinks of a number, multiplies it by 5 and then adds 2. The result is 57. What is the number?
  30. 30.Diya is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  31. 31.Rahul thinks of a number, multiplies it by 5 and then adds 17. The result is 77. What is the number?
  32. 32.Solve: 2(y + 2) = 10. What is y?
  33. 33.Solve: 3p + 1 = 25. What is p?
  34. 34.Solve: 8m − 24 = 80. What is m?
  35. 35.Solve: 8(n + 4) = 40. What is n?
  36. 36.Arjun thinks of a number, multiplies it by 6 and then adds 25. The result is 79. What is the number?
  37. 37.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 20 years. How old is Lakshmi?
  38. 38.Solve: 6m + 5 = 65. What is m?
  39. 39.Solve: 8(m + 8) = 80. What is m?
  40. 40.Zoya thinks of a number, multiplies it by 6 and then adds 20. The result is 50. What is the number?

Answer key

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

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