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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 637 · 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: t/6 + 2 = 5. What is t?
  2. 2.Solve: x/6 + 7 = 19. What is x?
  3. 3.Solve: 3(t + 1) = 9. What is t?
  4. 4.Arjun’s mother is three times as old as Arjun. Their ages add up to 44 years. How old is Arjun?
  5. 5.Solve: 7y + 9 = 58. What is y?
  6. 6.Aarav thinks of a number, multiplies it by 4 and then adds 22. The result is 50. What is the number?
  7. 7.Solve: 3m − 3 = 3. What is m?
  8. 8.Solve: 6t + 22 = 64. What is t?
  9. 9.Ananya thinks of a number, multiplies it by 4 and then adds 3. The result is 7. What is the number?
  10. 10.Solve: 9(p + 9) = 108. What is p?
  11. 11.Priya’s mother is four times as old as Priya. Their ages add up to 20 years. How old is Priya?
  12. 12.Solve: 9p + 17 = 26. What is p?
  13. 13.Solve: 4n + 3 = 63. What is n?
  14. 14.Solve: 8(n + 1) = 48. What is n?
  15. 15.Solve: 8m − 5 = 11. What is m?
  16. 16.Solve: 4t − 3 = 5. What is t?
  17. 17.Solve: 2p − 1 = 5. What is p?
  18. 18.Solve: 6m + 10 = 82. What is m?
  19. 19.Pooja is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  20. 20.Solve: 9m + 11 = 38. What is m?
  21. 21.Solve: 3t + 25 = 64. What is t?
  22. 22.Karan thinks of a number, multiplies it by 7 and then adds 29. The result is 85. What is the number?
  23. 23.Solve: 9(n + 3) = 63. What is n?
  24. 24.Solve: n/3 + 9 = 12. What is n?
  25. 25.Tara thinks of a number, multiplies it by 6 and then adds 13. The result is 55. What is the number?
  26. 26.Aarav’s mother is twice as old as Aarav. Their ages add up to 15 years. How old is Aarav?
  27. 27.Solve: t/3 + 18 = 26. What is t?
  28. 28.Solve: 2(y + 3) = 12. What is y?
  29. 29.Solve: 8x + 11 = 35. What is x?
  30. 30.Solve: 8m − 79 = 33. What is m?
  31. 31.Sneha thinks of a number, multiplies it by 4 and then adds 22. The result is 78. What is the number?
  32. 32.Solve: y/7 + 9 = 22. What is y?
  33. 33.Solve: 8t − 23 = 25. What is t?
  34. 34.Solve: 4(t + 1) = 64. What is t?
  35. 35.Solve: 9(y + 4) = 99. What is y?
  36. 36.Solve: y/2 + 18 = 22. What is y?
  37. 37.Solve: p/9 + 10 = 11. What is p?
  38. 38.Solve: y/9 + 7 = 18. What is y?
  39. 39.Solve: 9y + 4 = 58. What is y?
  40. 40.Solve: m/2 + 8 = 9. What is m?

Answer key

  1. 18
  2. 72
  3. 2
  4. 11
  5. 7
  6. 7
  7. 2
  8. 7
  9. 1
  10. 3
  11. 4
  12. 1
  13. 15
  14. 5
  15. 2
  16. 2
  17. 3
  18. 12
  19. 11
  20. 3
  21. 13
  22. 8
  23. 4
  24. 9
  25. 7
  26. 5
  27. 24
  28. 3
  29. 3
  30. 14
  31. 14
  32. 91
  33. 6
  34. 15
  35. 7
  36. 8
  37. 9
  38. 99
  39. 6
  40. 2

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