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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 475 · 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: 4(x + 6) = 52. What is x?
  2. 2.Solve: p/8 + 7 = 10. What is p?
  3. 3.Rohan is 3 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  4. 4.Solve: p/6 + 19 = 25. What is p?
  5. 5.Solve: t/7 + 14 = 19. What is t?
  6. 6.Solve: p/9 + 12 = 16. What is p?
  7. 7.Solve: n/4 + 7 = 14. What is n?
  8. 8.Pooja thinks of a number, multiplies it by 8 and then adds 22. The result is 38. What is the number?
  9. 9.Solve: m/7 + 5 = 10. What is m?
  10. 10.Solve: 5(t + 2) = 25. What is t?
  11. 11.Solve: 4n − 15 = 9. What is n?
  12. 12.Solve: x/6 + 6 = 10. What is x?
  13. 13.Solve: 9(y + 4) = 54. What is y?
  14. 14.Solve: 6y − 11 = 55. What is y?
  15. 15.Solve: 9(x + 9) = 117. What is x?
  16. 16.Solve: 9p − 7 = 92. What is p?
  17. 17.Solve: 7y − 13 = 1. What is y?
  18. 18.Solve: y/9 + 7 = 11. What is y?
  19. 19.Solve: 2p + 20 = 36. What is p?
  20. 20.Solve: 6p − 46 = 14. What is p?
  21. 21.Diya is 2 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  22. 22.Solve: 6t − 55 = 29. What is t?
  23. 23.Solve: p/9 + 18 = 25. What is p?
  24. 24.Solve: 5x + 9 = 84. What is x?
  25. 25.Aditya is 4 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  26. 26.Solve: 4x + 25 = 81. What is x?
  27. 27.Solve: 7x + 20 = 48. What is x?
  28. 28.Solve: 8p + 19 = 83. What is p?
  29. 29.Rahul thinks of a number, multiplies it by 3 and then adds 6. The result is 30. What is the number?
  30. 30.Solve: 2p + 28 = 30. What is p?
  31. 31.Solve: 6n − 48 = 24. What is n?
  32. 32.Solve: 3(y + 4) = 48. What is y?
  33. 33.Nisha is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  34. 34.Solve: 7p + 28 = 42. What is p?
  35. 35.Solve: 6n − 25 = 5. What is n?
  36. 36.Solve: 3m − 2 = 1. What is m?
  37. 37.Solve: y/3 + 7 = 10. What is y?
  38. 38.Priya thinks of a number, multiplies it by 7 and then adds 19. The result is 117. What is the number?
  39. 39.Solve: 2m − 2 = 20. What is m?
  40. 40.Solve: 7x − 17 = 46. What is x?

Answer key

  1. 7
  2. 24
  3. 10
  4. 36
  5. 35
  6. 36
  7. 28
  8. 2
  9. 35
  10. 3
  11. 6
  12. 24
  13. 2
  14. 11
  15. 4
  16. 11
  17. 2
  18. 36
  19. 8
  20. 10
  21. 13
  22. 14
  23. 63
  24. 15
  25. 14
  26. 14
  27. 4
  28. 8
  29. 8
  30. 1
  31. 12
  32. 12
  33. 7
  34. 2
  35. 5
  36. 1
  37. 9
  38. 14
  39. 11
  40. 9

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