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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 316 · 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: n/9 + 14 = 20. What is n?
  2. 2.Rohan is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  3. 3.Solve: y/4 + 3 = 14. What is y?
  4. 4.Solve: 3p + 22 = 64. What is p?
  5. 5.Solve: p/3 + 4 = 13. What is p?
  6. 6.Solve: 9(t + 3) = 90. What is t?
  7. 7.Lakshmi thinks of a number, multiplies it by 4 and then adds 7. The result is 35. What is the number?
  8. 8.Solve: 3p − 30 = 9. What is p?
  9. 9.Arjun is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  10. 10.Solve: 8(y + 3) = 32. What is y?
  11. 11.Solve: 6y − 2 = 16. What is y?
  12. 12.Solve: 2(y + 1) = 10. What is y?
  13. 13.Solve: 7x + 30 = 93. What is x?
  14. 14.Solve: n/3 + 19 = 29. What is n?
  15. 15.Rohan’s mother is four times as old as Rohan. Their ages add up to 50 years. How old is Rohan?
  16. 16.Solve: 8x − 5 = 3. What is x?
  17. 17.Solve: 9y − 51 = 21. What is y?
  18. 18.Nisha thinks of a number, multiplies it by 5 and then adds 9. The result is 49. What is the number?
  19. 19.Solve: 4y + 18 = 38. What is y?
  20. 20.Solve: 5(x + 9) = 55. What is x?
  21. 21.Solve: 8n + 12 = 36. What is n?
  22. 22.Solve: t/5 + 6 = 16. What is t?
  23. 23.Solve: 9p − 32 = 67. What is p?
  24. 24.Solve: 5y − 4 = 51. What is y?
  25. 25.Solve: 7n − 2 = 47. What is n?
  26. 26.Ishaan thinks of a number, multiplies it by 7 and then adds 8. The result is 50. What is the number?
  27. 27.Solve: 9(x + 1) = 27. What is x?
  28. 28.Solve: x/9 + 5 = 6. What is x?
  29. 29.Solve: 6(y + 7) = 90. What is y?
  30. 30.Solve: 6(x + 2) = 96. What is x?
  31. 31.Kabir’s mother is twice as old as Kabir. Their ages add up to 18 years. How old is Kabir?
  32. 32.Rahul thinks of a number, multiplies it by 2 and then adds 14. The result is 30. What is the number?
  33. 33.Riya thinks of a number, multiplies it by 4 and then adds 1. The result is 9. What is the number?
  34. 34.Solve: 6n − 68 = 4. What is n?
  35. 35.Solve: 8(t + 3) = 32. What is t?
  36. 36.Karan thinks of a number, multiplies it by 5 and then adds 1. The result is 31. What is the number?
  37. 37.Isha’s mother is three times as old as Isha. Their ages add up to 28 years. How old is Isha?
  38. 38.Solve: y/6 + 19 = 22. What is y?
  39. 39.Solve: 8x − 28 = 52. What is x?
  40. 40.Solve: m/3 + 12 = 25. What is m?

Answer key

  1. 54
  2. 10
  3. 44
  4. 14
  5. 27
  6. 7
  7. 7
  8. 13
  9. 8
  10. 1
  11. 3
  12. 4
  13. 9
  14. 30
  15. 10
  16. 1
  17. 8
  18. 8
  19. 5
  20. 2
  21. 3
  22. 50
  23. 11
  24. 11
  25. 7
  26. 6
  27. 2
  28. 9
  29. 8
  30. 14
  31. 6
  32. 8
  33. 2
  34. 12
  35. 1
  36. 6
  37. 7
  38. 18
  39. 10
  40. 39

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