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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 289 · 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.Rohan thinks of a number, multiplies it by 9 and then adds 7. The result is 34. What is the number?
  2. 2.Rahul thinks of a number, multiplies it by 9 and then adds 2. The result is 101. What is the number?
  3. 3.Solve: 4m + 5 = 17. What is m?
  4. 4.Solve: 2n − 3 = 9. What is n?
  5. 5.Solve: 2t + 9 = 17. What is t?
  6. 6.Solve: 9t + 16 = 52. What is t?
  7. 7.Arjun thinks of a number, multiplies it by 7 and then adds 12. The result is 68. What is the number?
  8. 8.Aarav thinks of a number, multiplies it by 6 and then adds 23. The result is 59. What is the number?
  9. 9.Solve: 7(p + 7) = 63. What is p?
  10. 10.Solve: 6x + 19 = 49. What is x?
  11. 11.Solve: 9m − 34 = 47. What is m?
  12. 12.Solve: 9(t + 6) = 63. What is t?
  13. 13.Solve: t/8 + 2 = 13. What is t?
  14. 14.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 25 years. How old is Ishaan?
  15. 15.Solve: 8y + 16 = 24. What is y?
  16. 16.Solve: 9t − 10 = 44. What is t?
  17. 17.Solve: 7(x + 5) = 56. What is x?
  18. 18.Solve: m/8 + 11 = 15. What is m?
  19. 19.Sneha thinks of a number, multiplies it by 6 and then adds 16. The result is 106. What is the number?
  20. 20.Solve: n/6 + 17 = 25. What is n?
  21. 21.Solve: p/7 + 19 = 22. What is p?
  22. 22.Solve: y/2 + 10 = 18. What is y?
  23. 23.Solve: 7x + 11 = 60. What is x?
  24. 24.Solve: n/7 + 6 = 21. What is n?
  25. 25.Solve: 7p − 3 = 11. What is p?
  26. 26.Nisha is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  27. 27.Solve: 9x + 4 = 22. What is x?
  28. 28.Solve: y/8 + 4 = 5. What is y?
  29. 29.Aditya’s mother is twice as old as Aditya. Their ages add up to 24 years. How old is Aditya?
  30. 30.Solve: x/5 + 17 = 21. What is x?
  31. 31.Solve: p/3 + 9 = 22. What is p?
  32. 32.Solve: x/3 + 13 = 20. What is x?
  33. 33.Solve: 9p − 26 = 1. What is p?
  34. 34.Solve: 9t − 71 = 19. What is t?
  35. 35.Solve: 6p − 4 = 20. What is p?
  36. 36.Pooja’s mother is twice as old as Pooja. Their ages add up to 15 years. How old is Pooja?
  37. 37.Solve: 3(p + 3) = 24. What is p?
  38. 38.Solve: 3m + 26 = 29. What is m?
  39. 39.Solve: y/2 + 19 = 33. What is y?
  40. 40.Solve: 5(t + 7) = 45. What is t?

Answer key

  1. 3
  2. 11
  3. 3
  4. 6
  5. 4
  6. 4
  7. 8
  8. 6
  9. 2
  10. 5
  11. 9
  12. 1
  13. 88
  14. 5
  15. 1
  16. 6
  17. 3
  18. 32
  19. 15
  20. 48
  21. 21
  22. 16
  23. 7
  24. 105
  25. 2
  26. 4
  27. 2
  28. 8
  29. 8
  30. 20
  31. 39
  32. 21
  33. 3
  34. 10
  35. 4
  36. 5
  37. 5
  38. 1
  39. 28
  40. 2

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