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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 186 · 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.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 70 years. How old is Saanvi?
  2. 2.Solve: 4(t + 2) = 28. What is t?
  3. 3.Solve: 5(x + 5) = 65. What is x?
  4. 4.Ishaan thinks of a number, multiplies it by 5 and then adds 21. The result is 66. What is the number?
  5. 5.Solve: 9(p + 2) = 81. What is p?
  6. 6.Solve: 8(p + 8) = 128. What is p?
  7. 7.Solve: 6(y + 5) = 84. What is y?
  8. 8.Dev’s mother is three times as old as Dev. Their ages add up to 40 years. How old is Dev?
  9. 9.Farhan is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  10. 10.Zoya’s mother is four times as old as Zoya. Their ages add up to 25 years. How old is Zoya?
  11. 11.Solve: 9(m + 1) = 90. What is m?
  12. 12.Solve: 8m + 6 = 46. What is m?
  13. 13.Solve: 8n + 13 = 61. What is n?
  14. 14.Solve: 9y + 1 = 19. What is y?
  15. 15.Solve: 2t + 8 = 36. What is t?
  16. 16.Solve: 8m + 2 = 66. What is m?
  17. 17.Kabir thinks of a number, multiplies it by 6 and then adds 28. The result is 34. What is the number?
  18. 18.Solve: 4x − 7 = 9. What is x?
  19. 19.Farhan is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  20. 20.Sneha’s mother is three times as old as Sneha. Their ages add up to 20 years. How old is Sneha?
  21. 21.Ishaan thinks of a number, multiplies it by 3 and then adds 25. The result is 70. What is the number?
  22. 22.Solve: 3x + 8 = 20. What is x?
  23. 23.Solve: t/5 + 8 = 9. What is t?
  24. 24.Solve: 2p − 1 = 23. What is p?
  25. 25.Riya’s mother is four times as old as Riya. Their ages add up to 20 years. How old is Riya?
  26. 26.Solve: n/8 + 8 = 9. What is n?
  27. 27.Solve: y/7 + 1 = 16. What is y?
  28. 28.Solve: 8m + 18 = 58. What is m?
  29. 29.Aditya is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  30. 30.Solve: 4n + 1 = 5. What is n?
  31. 31.Tara thinks of a number, multiplies it by 3 and then adds 10. The result is 13. What is the number?
  32. 32.Solve: 2p − 9 = 1. What is p?
  33. 33.Solve: 6(y + 4) = 102. What is y?
  34. 34.Solve: 6x − 7 = 17. What is x?
  35. 35.Solve: t/5 + 14 = 18. What is t?
  36. 36.Farhan’s mother is four times as old as Farhan. Their ages add up to 45 years. How old is Farhan?
  37. 37.Solve: 6t + 7 = 61. What is t?
  38. 38.Solve: n/6 + 3 = 9. What is n?
  39. 39.Solve: 3m + 18 = 63. What is m?
  40. 40.Lakshmi thinks of a number, multiplies it by 2 and then adds 22. The result is 38. What is the number?

Answer key

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

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