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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 293 · 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: 9m − 61 = 74. What is m?
  2. 2.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 33 years. How old is Saanvi?
  3. 3.Solve: 2m + 14 = 22. What is m?
  4. 4.Solve: 5(y + 1) = 15. What is y?
  5. 5.Solve: n/2 + 10 = 19. What is n?
  6. 6.Priya’s mother is three times as old as Priya. Their ages add up to 44 years. How old is Priya?
  7. 7.Solve: 7(x + 3) = 91. What is x?
  8. 8.Solve: 3(y + 1) = 48. What is y?
  9. 9.Solve: 2(m + 8) = 20. What is m?
  10. 10.Solve: 3(m + 8) = 51. What is m?
  11. 11.Sneha thinks of a number, multiplies it by 4 and then adds 23. The result is 35. What is the number?
  12. 12.Solve: n/3 + 16 = 23. What is n?
  13. 13.Solve: 2(x + 3) = 22. What is x?
  14. 14.Solve: n/9 + 12 = 19. What is n?
  15. 15.Dev thinks of a number, multiplies it by 6 and then adds 20. The result is 38. What is the number?
  16. 16.Solve: 4y − 15 = 37. What is y?
  17. 17.Pooja’s mother is twice as old as Pooja. Their ages add up to 15 years. How old is Pooja?
  18. 18.Rahul thinks of a number, multiplies it by 8 and then adds 9. The result is 41. What is the number?
  19. 19.Lakshmi thinks of a number, multiplies it by 6 and then adds 18. The result is 102. What is the number?
  20. 20.Solve: 5y + 4 = 79. What is y?
  21. 21.Solve: 6t + 17 = 95. What is t?
  22. 22.Diya’s mother is three times as old as Diya. Their ages add up to 44 years. How old is Diya?
  23. 23.Solve: 5m + 17 = 52. What is m?
  24. 24.Solve: 3(t + 8) = 33. What is t?
  25. 25.Solve: 6(x + 5) = 108. What is x?
  26. 26.Tara’s mother is twice as old as Tara. Their ages add up to 45 years. How old is Tara?
  27. 27.Solve: y/7 + 19 = 34. What is y?
  28. 28.Solve: 5(n + 3) = 55. What is n?
  29. 29.Solve: 7(p + 2) = 91. What is p?
  30. 30.Pooja thinks of a number, multiplies it by 5 and then adds 30. The result is 85. What is the number?
  31. 31.Solve: 2y + 24 = 48. What is y?
  32. 32.Solve: 2m + 28 = 46. What is m?
  33. 33.Solve: 5x + 17 = 27. What is x?
  34. 34.Farhan thinks of a number, multiplies it by 5 and then adds 10. The result is 70. What is the number?
  35. 35.Karan thinks of a number, multiplies it by 6 and then adds 14. The result is 86. What is the number?
  36. 36.Solve: 2p − 4 = 24. What is p?
  37. 37.Solve: 4n − 14 = 34. What is n?
  38. 38.Solve: 4p − 15 = 5. What is p?
  39. 39.Solve: 2t − 5 = 7. What is t?
  40. 40.Solve: 4x + 4 = 64. What is x?

Answer key

  1. 15
  2. 11
  3. 4
  4. 2
  5. 18
  6. 11
  7. 10
  8. 15
  9. 2
  10. 9
  11. 3
  12. 21
  13. 8
  14. 63
  15. 3
  16. 13
  17. 5
  18. 4
  19. 14
  20. 15
  21. 13
  22. 11
  23. 7
  24. 3
  25. 13
  26. 15
  27. 105
  28. 8
  29. 11
  30. 11
  31. 12
  32. 9
  33. 2
  34. 12
  35. 12
  36. 14
  37. 12
  38. 5
  39. 6
  40. 15

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