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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 123 · 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: 2(n + 9) = 26. What is n?
  2. 2.Solve: m/5 + 8 = 12. What is m?
  3. 3.Diya is 4 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  4. 4.Solve: 3n − 2 = 13. What is n?
  5. 5.Ishaan is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  6. 6.Solve: 5p − 4 = 36. What is p?
  7. 7.Solve: 2n − 4 = 26. What is n?
  8. 8.Solve: 2y + 20 = 46. What is y?
  9. 9.Solve: 6y − 22 = 8. What is y?
  10. 10.Solve: x/7 + 7 = 13. What is x?
  11. 11.Meera’s mother is twice as old as Meera. Their ages add up to 15 years. How old is Meera?
  12. 12.Solve: 2(x + 3) = 24. What is x?
  13. 13.Manav is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  14. 14.Solve: 2t − 1 = 5. What is t?
  15. 15.Solve: m/3 + 9 = 22. What is m?
  16. 16.Solve: 4p + 29 = 73. What is p?
  17. 17.Lakshmi thinks of a number, multiplies it by 8 and then adds 13. The result is 77. What is the number?
  18. 18.Solve: y/4 + 15 = 25. What is y?
  19. 19.Solve: 4n − 11 = 13. What is n?
  20. 20.Solve: 4p − 8 = 24. What is p?
  21. 21.Solve: t/2 + 14 = 22. What is t?
  22. 22.Vivaan is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  23. 23.Solve: 8n − 3 = 85. What is n?
  24. 24.Solve: 3t + 4 = 34. What is t?
  25. 25.Solve: 5(n + 1) = 20. What is n?
  26. 26.Solve: 7n − 82 = 23. What is n?
  27. 27.Solve: 2(m + 4) = 26. What is m?
  28. 28.Solve: 5(y + 5) = 55. What is y?
  29. 29.Solve: 4m + 19 = 39. What is m?
  30. 30.Tara’s mother is four times as old as Tara. Their ages add up to 65 years. How old is Tara?
  31. 31.Diya thinks of a number, multiplies it by 2 and then adds 18. The result is 38. What is the number?
  32. 32.Solve: 6x − 25 = 29. What is x?
  33. 33.Solve: 3n + 6 = 9. What is n?
  34. 34.Farhan thinks of a number, multiplies it by 7 and then adds 25. The result is 109. What is the number?
  35. 35.Solve: p/7 + 12 = 18. What is p?
  36. 36.Nisha is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  37. 37.Aditya thinks of a number, multiplies it by 2 and then adds 6. The result is 22. What is the number?
  38. 38.Solve: 4(y + 4) = 60. What is y?
  39. 39.Isha thinks of a number, multiplies it by 3 and then adds 24. The result is 33. What is the number?
  40. 40.Meera’s mother is three times as old as Meera. Their ages add up to 24 years. How old is Meera?

Answer key

  1. 4
  2. 20
  3. 12
  4. 5
  5. 5
  6. 8
  7. 15
  8. 13
  9. 5
  10. 42
  11. 5
  12. 9
  13. 10
  14. 3
  15. 39
  16. 11
  17. 8
  18. 40
  19. 6
  20. 8
  21. 16
  22. 9
  23. 11
  24. 10
  25. 3
  26. 15
  27. 9
  28. 6
  29. 5
  30. 13
  31. 10
  32. 9
  33. 1
  34. 12
  35. 42
  36. 12
  37. 8
  38. 11
  39. 3
  40. 6

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