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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 554 · 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: 2t + 27 = 31. What is t?
  2. 2.Aditya’s mother is twice as old as Aditya. Their ages add up to 12 years. How old is Aditya?
  3. 3.Solve: 9m − 78 = 30. What is m?
  4. 4.Solve: 5m + 8 = 58. What is m?
  5. 5.Solve: n/7 + 5 = 18. What is n?
  6. 6.Solve: 7t − 3 = 18. What is t?
  7. 7.Saanvi thinks of a number, multiplies it by 7 and then adds 13. The result is 111. What is the number?
  8. 8.Solve: t/2 + 15 = 24. What is t?
  9. 9.Zoya thinks of a number, multiplies it by 3 and then adds 4. The result is 34. What is the number?
  10. 10.Solve: 4(x + 3) = 72. What is x?
  11. 11.Solve: 4n + 28 = 40. What is n?
  12. 12.Solve: 9(p + 2) = 27. What is p?
  13. 13.Solve: 9(t + 8) = 108. What is t?
  14. 14.Solve: m/4 + 16 = 20. What is m?
  15. 15.Solve: 3(y + 8) = 36. What is y?
  16. 16.Solve: 5x − 10 = 25. What is x?
  17. 17.Solve: 2(p + 8) = 24. What is p?
  18. 18.Solve: 8(n + 2) = 40. What is n?
  19. 19.Solve: 9t − 21 = 15. What is t?
  20. 20.Meera is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  21. 21.Solve: t/5 + 8 = 16. What is t?
  22. 22.Solve: 4n + 22 = 58. What is n?
  23. 23.Solve: n/3 + 12 = 25. What is n?
  24. 24.Solve: 8m + 19 = 123. What is m?
  25. 25.Dev thinks of a number, multiplies it by 4 and then adds 10. The result is 30. What is the number?
  26. 26.Arjun’s mother is three times as old as Arjun. Their ages add up to 36 years. How old is Arjun?
  27. 27.Solve: 9p + 2 = 83. What is p?
  28. 28.Solve: 8x − 2 = 102. What is x?
  29. 29.Solve: 7t − 4 = 80. What is t?
  30. 30.Solve: y/2 + 12 = 26. What is y?
  31. 31.Isha thinks of a number, multiplies it by 6 and then adds 30. The result is 48. What is the number?
  32. 32.Diya thinks of a number, multiplies it by 7 and then adds 10. The result is 94. What is the number?
  33. 33.Solve: 2y + 24 = 42. What is y?
  34. 34.Solve: t/2 + 12 = 27. What is t?
  35. 35.Solve: 2m + 18 = 48. What is m?
  36. 36.Solve: t/9 + 20 = 23. What is t?
  37. 37.Gurpreet thinks of a number, multiplies it by 6 and then adds 30. The result is 66. What is the number?
  38. 38.Ananya’s mother is four times as old as Ananya. Their ages add up to 75 years. How old is Ananya?
  39. 39.Meera is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  40. 40.Manav’s mother is twice as old as Manav. Their ages add up to 24 years. How old is Manav?

Answer key

  1. 2
  2. 4
  3. 12
  4. 10
  5. 91
  6. 3
  7. 14
  8. 18
  9. 10
  10. 15
  11. 3
  12. 1
  13. 4
  14. 16
  15. 4
  16. 7
  17. 4
  18. 3
  19. 4
  20. 5
  21. 40
  22. 9
  23. 39
  24. 13
  25. 5
  26. 9
  27. 9
  28. 13
  29. 12
  30. 28
  31. 3
  32. 12
  33. 9
  34. 30
  35. 15
  36. 27
  37. 6
  38. 15
  39. 11
  40. 8

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