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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 104 · 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: 3p − 44 = 1. What is p?
  2. 2.Karan is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  3. 3.Solve: 7y + 13 = 90. What is y?
  4. 4.Solve: 3p − 18 = 15. What is p?
  5. 5.Solve: p/5 + 13 = 21. What is p?
  6. 6.Joseph thinks of a number, multiplies it by 4 and then adds 19. The result is 67. What is the number?
  7. 7.Tara thinks of a number, multiplies it by 3 and then adds 15. The result is 51. What is the number?
  8. 8.Solve: 8m − 21 = 59. What is m?
  9. 9.Solve: 8m − 74 = 46. What is m?
  10. 10.Solve: 2y − 3 = 7. What is y?
  11. 11.Solve: 3y + 5 = 50. What is y?
  12. 12.Solve: 6x + 15 = 93. What is x?
  13. 13.Solve: 3(y + 9) = 39. What is y?
  14. 14.Solve: 8m + 13 = 85. What is m?
  15. 15.Solve: 2m − 2 = 14. What is m?
  16. 16.Solve: y/2 + 20 = 33. What is y?
  17. 17.Solve: 6n + 5 = 29. What is n?
  18. 18.Solve: 3p − 1 = 20. What is p?
  19. 19.Karan thinks of a number, multiplies it by 5 and then adds 28. The result is 63. What is the number?
  20. 20.Pooja thinks of a number, multiplies it by 4 and then adds 11. The result is 63. What is the number?
  21. 21.Solve: 9(x + 7) = 117. What is x?
  22. 22.Solve: 7y + 4 = 60. What is y?
  23. 23.Solve: 2y − 14 = 4. What is y?
  24. 24.Meera’s mother is twice as old as Meera. Their ages add up to 45 years. How old is Meera?
  25. 25.Solve: 4(n + 8) = 76. What is n?
  26. 26.Solve: 8y + 7 = 15. What is y?
  27. 27.Solve: m/6 + 9 = 11. What is m?
  28. 28.Solve: t/3 + 9 = 10. What is t?
  29. 29.Solve: 4t + 14 = 26. What is t?
  30. 30.Nisha thinks of a number, multiplies it by 5 and then adds 6. The result is 21. What is the number?
  31. 31.Dev’s mother is three times as old as Dev. Their ages add up to 52 years. How old is Dev?
  32. 32.Solve: 2p + 8 = 22. What is p?
  33. 33.Solve: 2t + 27 = 31. What is t?
  34. 34.Karan thinks of a number, multiplies it by 3 and then adds 16. The result is 22. What is the number?
  35. 35.Gurpreet thinks of a number, multiplies it by 4 and then adds 16. The result is 48. What is the number?
  36. 36.Solve: 9(x + 3) = 135. What is x?
  37. 37.Solve: 6x − 17 = 13. What is x?
  38. 38.Kavya’s mother is three times as old as Kavya. Their ages add up to 20 years. How old is Kavya?
  39. 39.Priya thinks of a number, multiplies it by 3 and then adds 19. The result is 25. What is the number?
  40. 40.Solve: 2n − 14 = 4. What is n?

Answer key

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

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