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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 323 · 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.Solve: 9(x + 1) = 27. What is x?
  2. 2.Rohan’s mother is four times as old as Rohan. Their ages add up to 25 years. How old is Rohan?
  3. 3.Dev thinks of a number, multiplies it by 9 and then adds 22. The result is 58. What is the number?
  4. 4.Solve: 8(y + 4) = 64. What is y?
  5. 5.Solve: p/2 + 7 = 16. What is p?
  6. 6.Solve: 2(t + 7) = 16. What is t?
  7. 7.Ishaan thinks of a number, multiplies it by 7 and then adds 7. The result is 91. What is the number?
  8. 8.Solve: 4t − 3 = 1. What is t?
  9. 9.Solve: 4x + 22 = 54. What is x?
  10. 10.Diya thinks of a number, multiplies it by 5 and then adds 1. The result is 46. What is the number?
  11. 11.Solve: 8y − 65 = 55. What is y?
  12. 12.Solve: 8x − 4 = 68. What is x?
  13. 13.Solve: 6n − 23 = 1. What is n?
  14. 14.Solve: 4(m + 9) = 96. What is m?
  15. 15.Solve: y/8 + 10 = 19. What is y?
  16. 16.Solve: 4m − 1 = 7. What is m?
  17. 17.Solve: 6p − 5 = 25. What is p?
  18. 18.Dev thinks of a number, multiplies it by 8 and then adds 29. The result is 53. What is the number?
  19. 19.Pooja thinks of a number, multiplies it by 3 and then adds 11. The result is 35. What is the number?
  20. 20.Solve: 8(x + 8) = 120. What is x?
  21. 21.Solve: 7n − 11 = 17. What is n?
  22. 22.Solve: 8y − 2 = 22. What is y?
  23. 23.Solve: 2m + 2 = 32. What is m?
  24. 24.Solve: t/9 + 15 = 18. What is t?
  25. 25.Solve: 4x − 8 = 44. What is x?
  26. 26.Solve: 4x + 9 = 33. What is x?
  27. 27.Diya is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  28. 28.Solve: 3m − 13 = 17. What is m?
  29. 29.Isha’s mother is four times as old as Isha. Their ages add up to 75 years. How old is Isha?
  30. 30.Solve: 7y − 51 = 5. What is y?
  31. 31.Solve: 3x + 3 = 15. What is x?
  32. 32.Rahul’s mother is three times as old as Rahul. Their ages add up to 44 years. How old is Rahul?
  33. 33.Solve: 9y − 31 = 32. What is y?
  34. 34.Solve: n/3 + 2 = 4. What is n?
  35. 35.Solve: 8y + 5 = 45. What is y?
  36. 36.Solve: x/8 + 8 = 22. What is x?
  37. 37.Priya thinks of a number, multiplies it by 8 and then adds 1. The result is 97. What is the number?
  38. 38.Solve: 4n − 13 = 3. What is n?
  39. 39.Solve: 3n + 5 = 29. What is n?
  40. 40.Solve: 4y − 35 = 1. What is y?

Answer key

  1. 2
  2. 5
  3. 4
  4. 4
  5. 18
  6. 1
  7. 12
  8. 1
  9. 8
  10. 9
  11. 15
  12. 9
  13. 4
  14. 15
  15. 72
  16. 2
  17. 5
  18. 3
  19. 8
  20. 7
  21. 4
  22. 3
  23. 15
  24. 27
  25. 13
  26. 6
  27. 4
  28. 10
  29. 15
  30. 8
  31. 4
  32. 11
  33. 7
  34. 6
  35. 5
  36. 112
  37. 12
  38. 4
  39. 8
  40. 9

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