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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 505 · 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: 6n − 6 = 66. What is n?
  2. 2.Solve: 7(m + 2) = 21. What is m?
  3. 3.Isha’s mother is four times as old as Isha. Their ages add up to 40 years. How old is Isha?
  4. 4.Solve: 5x − 54 = 11. What is x?
  5. 5.Solve: 6t + 11 = 65. What is t?
  6. 6.Ishaan is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  7. 7.Solve: 3y − 32 = 1. What is y?
  8. 8.Meera thinks of a number, multiplies it by 3 and then adds 11. The result is 26. What is the number?
  9. 9.Solve: 8p − 10 = 22. What is p?
  10. 10.Solve: 5(t + 7) = 40. What is t?
  11. 11.Solve: 2x + 1 = 5. What is x?
  12. 12.Solve: 5(x + 3) = 75. What is x?
  13. 13.Kabir’s mother is three times as old as Kabir. Their ages add up to 52 years. How old is Kabir?
  14. 14.Solve: 5y + 7 = 42. What is y?
  15. 15.Solve: 6y + 27 = 117. What is y?
  16. 16.Nisha thinks of a number, multiplies it by 3 and then adds 13. The result is 40. What is the number?
  17. 17.Ananya thinks of a number, multiplies it by 9 and then adds 2. The result is 56. What is the number?
  18. 18.Ananya is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  19. 19.Nisha thinks of a number, multiplies it by 9 and then adds 23. The result is 95. What is the number?
  20. 20.Priya is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  21. 21.Solve: 2m + 21 = 39. What is m?
  22. 22.Solve: 9x − 2 = 16. What is x?
  23. 23.Solve: 6n + 25 = 49. What is n?
  24. 24.Manav thinks of a number, multiplies it by 3 and then adds 18. The result is 42. What is the number?
  25. 25.Sneha thinks of a number, multiplies it by 6 and then adds 15. The result is 39. What is the number?
  26. 26.Solve: 3y + 1 = 13. What is y?
  27. 27.Solve: 9t − 87 = 3. What is t?
  28. 28.Solve: 5t − 5 = 30. What is t?
  29. 29.Solve: 2t + 30 = 58. What is t?
  30. 30.Solve: 6t + 2 = 44. What is t?
  31. 31.Solve: 4x + 10 = 70. What is x?
  32. 32.Riya thinks of a number, multiplies it by 5 and then adds 8. The result is 78. What is the number?
  33. 33.Solve: 4m + 10 = 50. What is m?
  34. 34.Solve: 5m + 30 = 90. What is m?
  35. 35.Lakshmi thinks of a number, multiplies it by 3 and then adds 15. The result is 33. What is the number?
  36. 36.Solve: 3x − 5 = 4. What is x?
  37. 37.Solve: 2(m + 5) = 26. What is m?
  38. 38.Solve: n/5 + 12 = 20. What is n?
  39. 39.Solve: m/6 + 4 = 6. What is m?
  40. 40.Solve: 8n + 24 = 56. What is n?

Answer key

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

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