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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 511 · 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.Aditya thinks of a number, multiplies it by 8 and then adds 9. The result is 97. What is the number?
  2. 2.Solve: 6m − 2 = 70. What is m?
  3. 3.Solve: 6x + 9 = 15. What is x?
  4. 4.Solve: 5t + 2 = 37. What is t?
  5. 5.Solve: x/3 + 20 = 21. What is x?
  6. 6.Solve: 3x − 10 = 5. What is x?
  7. 7.Solve: 4(m + 3) = 20. What is m?
  8. 8.Solve: 6x + 23 = 83. What is x?
  9. 9.Solve: 7m − 56 = 28. What is m?
  10. 10.Solve: 4m − 10 = 38. What is m?
  11. 11.Solve: 7y − 1 = 6. What is y?
  12. 12.Solve: 7n + 18 = 116. What is n?
  13. 13.Meera thinks of a number, multiplies it by 4 and then adds 15. The result is 43. What is the number?
  14. 14.Tara thinks of a number, multiplies it by 9 and then adds 3. The result is 21. What is the number?
  15. 15.Solve: p/9 + 5 = 15. What is p?
  16. 16.Solve: n/3 + 20 = 23. What is n?
  17. 17.Solve: 6(y + 7) = 108. What is y?
  18. 18.Solve: 8n + 1 = 9. What is n?
  19. 19.Solve: x/4 + 12 = 16. What is x?
  20. 20.Diya is 3 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  21. 21.Vivaan is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  22. 22.Solve: 4x + 12 = 28. What is x?
  23. 23.Solve: 4t + 19 = 27. What is t?
  24. 24.Solve: 7y − 25 = 38. What is y?
  25. 25.Tara’s mother is three times as old as Tara. Their ages add up to 28 years. How old is Tara?
  26. 26.Solve: 7(x + 6) = 133. What is x?
  27. 27.Ishaan thinks of a number, multiplies it by 2 and then adds 4. The result is 14. What is the number?
  28. 28.Solve: x/9 + 13 = 26. What is x?
  29. 29.Sneha’s mother is twice as old as Sneha. Their ages add up to 21 years. How old is Sneha?
  30. 30.Rohan thinks of a number, multiplies it by 5 and then adds 25. The result is 30. What is the number?
  31. 31.Solve: t/5 + 11 = 20. What is t?
  32. 32.Solve: 5m + 6 = 11. What is m?
  33. 33.Solve: 8(t + 8) = 96. What is t?
  34. 34.Solve: 9m − 3 = 6. What is m?
  35. 35.Rahul is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  36. 36.Solve: 5y − 11 = 24. What is y?
  37. 37.Solve: n/3 + 6 = 12. What is n?
  38. 38.Solve: 9n − 53 = 64. What is n?
  39. 39.Solve: 2(p + 9) = 38. What is p?
  40. 40.Solve: 3y + 9 = 27. What is y?

Answer key

  1. 11
  2. 12
  3. 1
  4. 7
  5. 3
  6. 5
  7. 2
  8. 10
  9. 12
  10. 12
  11. 1
  12. 14
  13. 7
  14. 2
  15. 90
  16. 9
  17. 11
  18. 1
  19. 16
  20. 15
  21. 5
  22. 4
  23. 2
  24. 9
  25. 7
  26. 13
  27. 5
  28. 117
  29. 7
  30. 1
  31. 45
  32. 1
  33. 4
  34. 1
  35. 6
  36. 7
  37. 18
  38. 13
  39. 10
  40. 6

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