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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 645 · 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: 3y − 31 = 11. What is y?
  2. 2.Solve: 3(x + 9) = 30. What is x?
  3. 3.Meera is 8 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  4. 4.Solve: 8p + 26 = 34. What is p?
  5. 5.Lakshmi thinks of a number, multiplies it by 2 and then adds 11. The result is 39. What is the number?
  6. 6.Solve: 3y + 17 = 38. What is y?
  7. 7.Solve: 6y + 17 = 53. What is y?
  8. 8.Solve: 2t − 6 = 14. What is t?
  9. 9.Solve: t/9 + 9 = 10. What is t?
  10. 10.Solve: 5y − 54 = 11. What is y?
  11. 11.Solve: p/2 + 3 = 6. What is p?
  12. 12.Solve: 2t + 10 = 40. What is t?
  13. 13.Riya’s mother is twice as old as Riya. Their ages add up to 24 years. How old is Riya?
  14. 14.Solve: 8t − 24 = 24. What is t?
  15. 15.Solve: 9p + 7 = 34. What is p?
  16. 16.Solve: n/8 + 14 = 17. What is n?
  17. 17.Vivaan thinks of a number, multiplies it by 2 and then adds 18. The result is 46. What is the number?
  18. 18.Joseph’s mother is twice as old as Joseph. Their ages add up to 18 years. How old is Joseph?
  19. 19.Solve: 3p + 18 = 57. What is p?
  20. 20.Sneha thinks of a number, multiplies it by 4 and then adds 3. The result is 19. What is the number?
  21. 21.Solve: 9(x + 3) = 36. What is x?
  22. 22.Solve: 3x + 15 = 54. What is x?
  23. 23.Karan thinks of a number, multiplies it by 4 and then adds 5. The result is 21. What is the number?
  24. 24.Solve: 4y + 13 = 69. What is y?
  25. 25.Solve: 4m + 24 = 52. What is m?
  26. 26.Solve: 9n + 30 = 165. What is n?
  27. 27.Farhan is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  28. 28.Solve: 2t + 23 = 25. What is t?
  29. 29.Solve: y/3 + 1 = 5. What is y?
  30. 30.Solve: 5x + 21 = 86. What is x?
  31. 31.Solve: 2(t + 2) = 12. What is t?
  32. 32.Solve: 2n − 1 = 3. What is n?
  33. 33.Solve: 8t − 21 = 75. What is t?
  34. 34.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 20 years. How old is Vivaan?
  35. 35.Kabir thinks of a number, multiplies it by 6 and then adds 3. The result is 75. What is the number?
  36. 36.Solve: 5(x + 2) = 15. What is x?
  37. 37.Tara’s mother is twice as old as Tara. Their ages add up to 42 years. How old is Tara?
  38. 38.Solve: 5x + 23 = 43. What is x?
  39. 39.Solve: y/5 + 1 = 8. What is y?
  40. 40.Solve: p/3 + 13 = 26. What is p?

Answer key

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

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