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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 871 · 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: 6p + 5 = 11. What is p?
  2. 2.Solve: 8x + 6 = 126. What is x?
  3. 3.Solve: 5y + 20 = 80. What is y?
  4. 4.Arjun thinks of a number, multiplies it by 2 and then adds 29. The result is 39. What is the number?
  5. 5.Solve: 9(x + 5) = 153. What is x?
  6. 6.Saanvi is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  7. 7.Isha is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  8. 8.Solve: n/4 + 2 = 5. What is n?
  9. 9.Solve: 6(p + 1) = 54. What is p?
  10. 10.Meera thinks of a number, multiplies it by 8 and then adds 19. The result is 91. What is the number?
  11. 11.Solve: 2(m + 7) = 40. What is m?
  12. 12.Solve: 8(p + 3) = 48. What is p?
  13. 13.Solve: 7p + 21 = 84. What is p?
  14. 14.Solve: 6(t + 2) = 42. What is t?
  15. 15.Ishaan thinks of a number, multiplies it by 8 and then adds 1. The result is 65. What is the number?
  16. 16.Karan thinks of a number, multiplies it by 9 and then adds 26. The result is 80. What is the number?
  17. 17.Solve: 9(n + 2) = 90. What is n?
  18. 18.Solve: 4m − 22 = 22. What is m?
  19. 19.Solve: n/7 + 8 = 11. What is n?
  20. 20.Joseph’s mother is twice as old as Joseph. Their ages add up to 21 years. How old is Joseph?
  21. 21.Ishaan thinks of a number, multiplies it by 3 and then adds 8. The result is 38. What is the number?
  22. 22.Solve: 7y − 4 = 3. What is y?
  23. 23.Solve: y/2 + 19 = 25. What is y?
  24. 24.Manav thinks of a number, multiplies it by 4 and then adds 1. The result is 17. What is the number?
  25. 25.Aditya’s mother is four times as old as Aditya. Their ages add up to 25 years. How old is Aditya?
  26. 26.Solve: 9x + 28 = 64. What is x?
  27. 27.Kavya’s mother is three times as old as Kavya. Their ages add up to 16 years. How old is Kavya?
  28. 28.Kabir thinks of a number, multiplies it by 7 and then adds 9. The result is 51. What is the number?
  29. 29.Solve: 2p − 3 = 13. What is p?
  30. 30.Solve: 8n + 25 = 129. What is n?
  31. 31.Pooja is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  32. 32.Solve: 7y + 13 = 118. What is y?
  33. 33.Solve: 4x + 13 = 45. What is x?
  34. 34.Solve: 8p − 18 = 14. What is p?
  35. 35.Solve: t/7 + 4 = 15. What is t?
  36. 36.Solve: 3t + 17 = 59. What is t?
  37. 37.Solve: 6x − 6 = 6. What is x?
  38. 38.Solve: 6p − 51 = 9. What is p?
  39. 39.Solve: 8p − 12 = 12. What is p?
  40. 40.Solve: 7t − 27 = 1. What is t?

Answer key

  1. 1
  2. 15
  3. 12
  4. 5
  5. 12
  6. 6
  7. 5
  8. 12
  9. 8
  10. 9
  11. 13
  12. 3
  13. 9
  14. 5
  15. 8
  16. 6
  17. 8
  18. 11
  19. 21
  20. 7
  21. 10
  22. 1
  23. 12
  24. 4
  25. 5
  26. 4
  27. 4
  28. 6
  29. 8
  30. 13
  31. 15
  32. 15
  33. 8
  34. 4
  35. 77
  36. 14
  37. 2
  38. 10
  39. 3
  40. 4

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