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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 15 · 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: 6(t + 6) = 48. What is t?
  2. 2.Farhan thinks of a number, multiplies it by 2 and then adds 20. The result is 32. What is the number?
  3. 3.Solve: 7x + 5 = 75. What is x?
  4. 4.Solve: 5t + 21 = 71. What is t?
  5. 5.Pooja is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  6. 6.Solve: t/6 + 8 = 13. What is t?
  7. 7.Rohan thinks of a number, multiplies it by 8 and then adds 4. The result is 20. What is the number?
  8. 8.Solve: t/5 + 18 = 22. What is t?
  9. 9.Solve: 8(t + 9) = 176. What is t?
  10. 10.Solve: 6y − 48 = 18. What is y?
  11. 11.Diya thinks of a number, multiplies it by 5 and then adds 15. The result is 30. What is the number?
  12. 12.Solve: y/7 + 17 = 21. What is y?
  13. 13.Zoya thinks of a number, multiplies it by 3 and then adds 7. The result is 40. What is the number?
  14. 14.Ishaan thinks of a number, multiplies it by 9 and then adds 19. The result is 118. What is the number?
  15. 15.Aarav is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  16. 16.Solve: m/6 + 8 = 17. What is m?
  17. 17.Solve: 2x + 5 = 19. What is x?
  18. 18.Solve: 3n + 13 = 22. What is n?
  19. 19.Solve: 4p − 7 = 5. What is p?
  20. 20.Solve: 5t − 13 = 7. What is t?
  21. 21.Solve: 5m + 24 = 54. What is m?
  22. 22.Meera’s mother is twice as old as Meera. Their ages add up to 30 years. How old is Meera?
  23. 23.Arjun’s mother is three times as old as Arjun. Their ages add up to 56 years. How old is Arjun?
  24. 24.Solve: x/9 + 17 = 26. What is x?
  25. 25.Solve: p/2 + 2 = 7. What is p?
  26. 26.Lakshmi thinks of a number, multiplies it by 3 and then adds 2. The result is 35. What is the number?
  27. 27.Solve: m/2 + 8 = 23. What is m?
  28. 28.Solve: 4t − 21 = 19. What is t?
  29. 29.Solve: 6(y + 1) = 36. What is y?
  30. 30.Solve: 8(t + 1) = 112. What is t?
  31. 31.Solve: 2(y + 7) = 26. What is y?
  32. 32.Solve: 9p + 9 = 117. What is p?
  33. 33.Solve: x/2 + 14 = 21. What is x?
  34. 34.Kabir is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  35. 35.Solve: 3n + 15 = 48. What is n?
  36. 36.Solve: 7x + 8 = 99. What is x?
  37. 37.Arjun thinks of a number, multiplies it by 7 and then adds 8. The result is 64. What is the number?
  38. 38.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 52 years. How old is Ishaan?
  39. 39.Solve: 2m − 16 = 10. What is m?
  40. 40.Vivaan thinks of a number, multiplies it by 5 and then adds 7. The result is 82. What is the number?

Answer key

  1. 2
  2. 6
  3. 10
  4. 10
  5. 5
  6. 30
  7. 2
  8. 20
  9. 13
  10. 11
  11. 3
  12. 28
  13. 11
  14. 11
  15. 14
  16. 54
  17. 7
  18. 3
  19. 3
  20. 4
  21. 6
  22. 10
  23. 14
  24. 81
  25. 10
  26. 11
  27. 30
  28. 10
  29. 5
  30. 13
  31. 6
  32. 12
  33. 14
  34. 6
  35. 11
  36. 13
  37. 8
  38. 13
  39. 13
  40. 15

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