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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 969 · 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.Farhan thinks of a number, multiplies it by 5 and then adds 20. The result is 55. What is the number?
  2. 2.Solve: 5n + 29 = 39. What is n?
  3. 3.Solve: t/7 + 10 = 16. What is t?
  4. 4.Solve: 2y − 8 = 20. What is y?
  5. 5.Solve: 9m − 68 = 31. What is m?
  6. 6.Solve: 8p + 21 = 133. What is p?
  7. 7.Solve: 7x + 29 = 113. What is x?
  8. 8.Rohan’s mother is twice as old as Rohan. Their ages add up to 24 years. How old is Rohan?
  9. 9.Riya is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  10. 10.Solve: 6(m + 2) = 36. What is m?
  11. 11.Solve: 2n − 4 = 4. What is n?
  12. 12.Solve: 2n + 21 = 45. What is n?
  13. 13.Karan is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  14. 14.Solve: x/3 + 6 = 18. What is x?
  15. 15.Pooja’s mother is three times as old as Pooja. Their ages add up to 60 years. How old is Pooja?
  16. 16.Rahul thinks of a number, multiplies it by 2 and then adds 21. The result is 49. What is the number?
  17. 17.Solve: x/3 + 14 = 21. What is x?
  18. 18.Solve: 6y + 2 = 26. What is y?
  19. 19.Solve: 4t + 19 = 67. What is t?
  20. 20.Rahul thinks of a number, multiplies it by 6 and then adds 10. The result is 28. What is the number?
  21. 21.Solve: 8m + 3 = 35. What is m?
  22. 22.Kavya is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  23. 23.Solve: 4x + 29 = 33. What is x?
  24. 24.Solve: 5p + 29 = 94. What is p?
  25. 25.Solve: 4p + 4 = 60. What is p?
  26. 26.Solve: 3(t + 2) = 12. What is t?
  27. 27.Solve: 2p − 4 = 4. What is p?
  28. 28.Arjun’s mother is three times as old as Arjun. Their ages add up to 16 years. How old is Arjun?
  29. 29.Solve: 7n + 4 = 39. What is n?
  30. 30.Solve: 6y + 25 = 115. What is y?
  31. 31.Solve: 6m − 20 = 4. What is m?
  32. 32.Joseph thinks of a number, multiplies it by 7 and then adds 17. The result is 73. What is the number?
  33. 33.Solve: x/5 + 3 = 15. What is x?
  34. 34.Gurpreet thinks of a number, multiplies it by 2 and then adds 21. The result is 23. What is the number?
  35. 35.Solve: 2y + 20 = 30. What is y?
  36. 36.Solve: 3x − 8 = 13. What is x?
  37. 37.Solve: 7y − 6 = 29. What is y?
  38. 38.Solve: p/3 + 4 = 9. What is p?
  39. 39.Pooja’s mother is three times as old as Pooja. Their ages add up to 36 years. How old is Pooja?
  40. 40.Solve: x/9 + 11 = 25. What is x?

Answer key

  1. 7
  2. 2
  3. 42
  4. 14
  5. 11
  6. 14
  7. 12
  8. 8
  9. 12
  10. 4
  11. 4
  12. 12
  13. 6
  14. 36
  15. 15
  16. 14
  17. 21
  18. 4
  19. 12
  20. 3
  21. 4
  22. 6
  23. 1
  24. 13
  25. 14
  26. 2
  27. 4
  28. 4
  29. 5
  30. 15
  31. 4
  32. 8
  33. 60
  34. 1
  35. 5
  36. 7
  37. 5
  38. 15
  39. 9
  40. 126

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