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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 92 · 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.Aarav is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  2. 2.Solve: 6t − 18 = 54. What is t?
  3. 3.Solve: y/8 + 15 = 26. What is y?
  4. 4.Solve: 8(x + 1) = 112. What is x?
  5. 5.Solve: 6t − 8 = 4. What is t?
  6. 6.Solve: x/7 + 19 = 32. What is x?
  7. 7.Solve: p/2 + 12 = 13. What is p?
  8. 8.Solve: p/4 + 20 = 23. What is p?
  9. 9.Solve: 3(y + 5) = 24. What is y?
  10. 10.Solve: 3n + 30 = 69. What is n?
  11. 11.Vivaan thinks of a number, multiplies it by 5 and then adds 29. The result is 74. What is the number?
  12. 12.Solve: 3(y + 3) = 21. What is y?
  13. 13.Solve: 6(p + 1) = 48. What is p?
  14. 14.Diya is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  15. 15.Farhan thinks of a number, multiplies it by 2 and then adds 21. The result is 41. What is the number?
  16. 16.Solve: 2p + 17 = 25. What is p?
  17. 17.Solve: 3(m + 4) = 39. What is m?
  18. 18.Solve: 7y + 8 = 85. What is y?
  19. 19.Solve: 6(p + 9) = 78. What is p?
  20. 20.Solve: t/8 + 5 = 6. What is t?
  21. 21.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 40 years. How old is Vivaan?
  22. 22.Solve: n/2 + 15 = 18. What is n?
  23. 23.Solve: 4(n + 8) = 72. What is n?
  24. 24.Solve: 4x − 36 = 4. What is x?
  25. 25.Solve: 2x − 2 = 2. What is x?
  26. 26.Solve: 2m + 16 = 30. What is m?
  27. 27.Rohan thinks of a number, multiplies it by 4 and then adds 27. The result is 83. What is the number?
  28. 28.Solve: 3y − 22 = 17. What is y?
  29. 29.Solve: 6p + 6 = 36. What is p?
  30. 30.Solve: 8n + 27 = 107. What is n?
  31. 31.Dev is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  32. 32.Solve: 5y − 10 = 10. What is y?
  33. 33.Solve: 2y + 28 = 40. What is y?
  34. 34.Aditya is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  35. 35.Solve: 4p − 10 = 18. What is p?
  36. 36.Aarav is 2 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  37. 37.Kabir is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  38. 38.Aarav thinks of a number, multiplies it by 9 and then adds 6. The result is 132. What is the number?
  39. 39.Solve: 3y − 10 = 17. What is y?
  40. 40.Solve: 6y − 11 = 37. What is y?

Answer key

  1. 10
  2. 12
  3. 88
  4. 13
  5. 2
  6. 91
  7. 2
  8. 12
  9. 3
  10. 13
  11. 9
  12. 4
  13. 7
  14. 4
  15. 10
  16. 4
  17. 9
  18. 11
  19. 4
  20. 8
  21. 10
  22. 6
  23. 10
  24. 10
  25. 2
  26. 7
  27. 14
  28. 13
  29. 5
  30. 10
  31. 15
  32. 4
  33. 6
  34. 5
  35. 7
  36. 8
  37. 6
  38. 14
  39. 9
  40. 8

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