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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 74 · 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: 8n − 9 = 15. What is n?
  2. 2.Solve: 4x + 4 = 12. What is x?
  3. 3.Solve: 8y + 28 = 44. What is y?
  4. 4.Diya is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  5. 5.Sneha is 6 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  6. 6.Diya is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  7. 7.Solve: 7x − 34 = 22. What is x?
  8. 8.Solve: 6(t + 1) = 42. What is t?
  9. 9.Solve: 5p − 4 = 1. What is p?
  10. 10.Solve: 4(m + 8) = 56. What is m?
  11. 11.Aarav is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  12. 12.Solve: p/8 + 13 = 21. What is p?
  13. 13.Kavya is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  14. 14.Solve: 6x − 8 = 82. What is x?
  15. 15.Solve: 7m − 1 = 6. What is m?
  16. 16.Gurpreet thinks of a number, multiplies it by 9 and then adds 14. The result is 86. What is the number?
  17. 17.Solve: 8p − 65 = 39. What is p?
  18. 18.Farhan is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  19. 19.Ananya thinks of a number, multiplies it by 5 and then adds 14. The result is 29. What is the number?
  20. 20.Solve: 5m + 5 = 60. What is m?
  21. 21.Solve: 2x + 12 = 16. What is x?
  22. 22.Solve: 9(x + 4) = 63. What is x?
  23. 23.Kabir thinks of a number, multiplies it by 6 and then adds 21. The result is 27. What is the number?
  24. 24.Solve: 7p − 1 = 69. What is p?
  25. 25.Solve: 7x + 14 = 112. What is x?
  26. 26.Solve: 6n − 28 = 14. What is n?
  27. 27.Solve: 8(n + 1) = 16. What is n?
  28. 28.Solve: 7n − 24 = 53. What is n?
  29. 29.Solve: n/5 + 13 = 16. What is n?
  30. 30.Ananya thinks of a number, multiplies it by 4 and then adds 26. The result is 66. What is the number?
  31. 31.Solve: t/9 + 15 = 19. What is t?
  32. 32.Solve: x/9 + 11 = 23. What is x?
  33. 33.Ishaan thinks of a number, multiplies it by 3 and then adds 16. The result is 55. What is the number?
  34. 34.Solve: 3(p + 3) = 21. What is p?
  35. 35.Solve: 4m + 10 = 22. What is m?
  36. 36.Solve: 2p − 23 = 1. What is p?
  37. 37.Vivaan thinks of a number, multiplies it by 2 and then adds 29. The result is 37. What is the number?
  38. 38.Solve: 6n − 24 = 36. What is n?
  39. 39.Isha thinks of a number, multiplies it by 2 and then adds 8. The result is 16. What is the number?
  40. 40.Solve: 7n − 28 = 7. What is n?

Answer key

  1. 3
  2. 2
  3. 2
  4. 11
  5. 9
  6. 6
  7. 8
  8. 6
  9. 1
  10. 6
  11. 10
  12. 64
  13. 13
  14. 15
  15. 1
  16. 8
  17. 13
  18. 9
  19. 3
  20. 11
  21. 2
  22. 3
  23. 1
  24. 10
  25. 14
  26. 7
  27. 1
  28. 11
  29. 15
  30. 10
  31. 36
  32. 108
  33. 13
  34. 4
  35. 3
  36. 12
  37. 4
  38. 10
  39. 4
  40. 5

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