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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 629 · 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: 4(x + 9) = 68. What is x?
  2. 2.Solve: 9y − 47 = 43. What is y?
  3. 3.Solve: 7x − 6 = 99. What is x?
  4. 4.Solve: 4t + 7 = 59. What is t?
  5. 5.Solve: y/4 + 14 = 18. What is y?
  6. 6.Aditya is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  7. 7.Solve: 6n + 3 = 87. What is n?
  8. 8.Solve: 9n + 28 = 82. What is n?
  9. 9.Kabir thinks of a number, multiplies it by 2 and then adds 26. The result is 48. What is the number?
  10. 10.Joseph is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  11. 11.Solve: 9y + 18 = 45. What is y?
  12. 12.Solve: y/2 + 11 = 16. What is y?
  13. 13.Tara is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  14. 14.Solve: t/3 + 17 = 32. What is t?
  15. 15.Solve: 2p + 15 = 17. What is p?
  16. 16.Solve: 8t − 41 = 63. What is t?
  17. 17.Solve: 4(y + 4) = 36. What is y?
  18. 18.Solve: 2y − 3 = 17. What is y?
  19. 19.Rohan thinks of a number, multiplies it by 7 and then adds 9. The result is 100. What is the number?
  20. 20.Solve: 8(p + 1) = 80. What is p?
  21. 21.Zoya thinks of a number, multiplies it by 6 and then adds 7. The result is 13. What is the number?
  22. 22.Ishaan thinks of a number, multiplies it by 3 and then adds 27. The result is 36. What is the number?
  23. 23.Solve: 7y + 2 = 30. What is y?
  24. 24.Solve: 5n − 1 = 4. What is n?
  25. 25.Solve: 4t − 12 = 20. What is t?
  26. 26.Solve: 3t − 5 = 28. What is t?
  27. 27.Solve: y/6 + 14 = 28. What is y?
  28. 28.Solve: 3(x + 1) = 24. What is x?
  29. 29.Gurpreet thinks of a number, multiplies it by 4 and then adds 3. The result is 23. What is the number?
  30. 30.Solve: 3(x + 5) = 51. What is x?
  31. 31.Rohan’s mother is four times as old as Rohan. Their ages add up to 20 years. How old is Rohan?
  32. 32.Dev thinks of a number, multiplies it by 4 and then adds 2. The result is 30. What is the number?
  33. 33.Solve: 2(t + 8) = 30. What is t?
  34. 34.Solve: 4t + 29 = 73. What is t?
  35. 35.Solve: 6p + 1 = 67. What is p?
  36. 36.Solve: 8n + 14 = 118. What is n?
  37. 37.Solve: 8m + 3 = 107. What is m?
  38. 38.Solve: 4t − 1 = 15. What is t?
  39. 39.Isha thinks of a number, multiplies it by 8 and then adds 14. The result is 62. What is the number?
  40. 40.Rohan thinks of a number, multiplies it by 2 and then adds 8. The result is 10. What is the number?

Answer key

  1. 8
  2. 10
  3. 15
  4. 13
  5. 16
  6. 12
  7. 14
  8. 6
  9. 11
  10. 4
  11. 3
  12. 10
  13. 14
  14. 45
  15. 1
  16. 13
  17. 5
  18. 10
  19. 13
  20. 9
  21. 1
  22. 3
  23. 4
  24. 1
  25. 8
  26. 11
  27. 84
  28. 7
  29. 5
  30. 12
  31. 4
  32. 7
  33. 7
  34. 11
  35. 11
  36. 13
  37. 13
  38. 4
  39. 6
  40. 1

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