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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 836 · 40 sums
TalentJR

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: 8m − 57 = 39. What is m?
  2. 2.Solve: p/4 + 4 = 9. What is p?
  3. 3.Solve: 8n − 53 = 67. What is n?
  4. 4.Solve: 5(y + 7) = 80. What is y?
  5. 5.Solve: 4y + 27 = 71. What is y?
  6. 6.Solve: 4(m + 3) = 20. What is m?
  7. 7.Solve: 8p − 17 = 47. What is p?
  8. 8.Lakshmi is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  9. 9.Solve: 5x − 26 = 9. What is x?
  10. 10.Solve: 4n + 29 = 65. What is n?
  11. 11.Diya is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  12. 12.Solve: n/9 + 8 = 11. What is n?
  13. 13.Ishaan is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  14. 14.Solve: 7n + 2 = 37. What is n?
  15. 15.Vivaan is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  16. 16.Tara thinks of a number, multiplies it by 6 and then adds 4. The result is 76. What is the number?
  17. 17.Kabir thinks of a number, multiplies it by 9 and then adds 28. The result is 109. What is the number?
  18. 18.Solve: 8m + 12 = 28. What is m?
  19. 19.Arjun is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  20. 20.Solve: 3x + 7 = 37. What is x?
  21. 21.Solve: 4(p + 2) = 16. What is p?
  22. 22.Meera thinks of a number, multiplies it by 5 and then adds 10. The result is 55. What is the number?
  23. 23.Solve: p/5 + 13 = 23. What is p?
  24. 24.Solve: 8t + 13 = 45. What is t?
  25. 25.Solve: 5n + 8 = 43. What is n?
  26. 26.Gurpreet thinks of a number, multiplies it by 8 and then adds 27. The result is 35. What is the number?
  27. 27.Solve: 9m − 20 = 79. What is m?
  28. 28.Solve: 4p − 29 = 3. What is p?
  29. 29.Solve: 6n + 30 = 42. What is n?
  30. 30.Solve: n/7 + 10 = 25. What is n?
  31. 31.Solve: 6(m + 4) = 108. What is m?
  32. 32.Solve: 9(x + 8) = 162. What is x?
  33. 33.Solve: 8(n + 8) = 104. What is n?
  34. 34.Solve: x/5 + 14 = 27. What is x?
  35. 35.Solve: 2t − 14 = 16. What is t?
  36. 36.Vivaan thinks of a number, multiplies it by 5 and then adds 15. The result is 30. What is the number?
  37. 37.Solve: 6y + 25 = 115. What is y?
  38. 38.Solve: 4y − 21 = 35. What is y?
  39. 39.Solve: 4n − 43 = 1. What is n?
  40. 40.Kabir thinks of a number, multiplies it by 4 and then adds 5. The result is 21. What is the number?

Answer key

  1. 12
  2. 20
  3. 15
  4. 9
  5. 11
  6. 2
  7. 8
  8. 11
  9. 7
  10. 9
  11. 4
  12. 27
  13. 10
  14. 5
  15. 11
  16. 12
  17. 9
  18. 2
  19. 5
  20. 10
  21. 2
  22. 9
  23. 50
  24. 4
  25. 7
  26. 1
  27. 11
  28. 8
  29. 2
  30. 105
  31. 14
  32. 10
  33. 5
  34. 65
  35. 15
  36. 3
  37. 15
  38. 14
  39. 11
  40. 4

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