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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 98 · 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.Solve: 5m + 11 = 86. What is m?
  2. 2.Solve: n/2 + 1 = 3. What is n?
  3. 3.Solve: x/2 + 18 = 30. What is x?
  4. 4.Arjun’s mother is twice as old as Arjun. Their ages add up to 24 years. How old is Arjun?
  5. 5.Aarav’s mother is twice as old as Aarav. Their ages add up to 12 years. How old is Aarav?
  6. 6.Solve: p/9 + 10 = 11. What is p?
  7. 7.Sneha is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  8. 8.Ishaan thinks of a number, multiplies it by 3 and then adds 7. The result is 43. What is the number?
  9. 9.Ananya thinks of a number, multiplies it by 3 and then adds 11. The result is 14. What is the number?
  10. 10.Solve: 4x − 47 = 13. What is x?
  11. 11.Solve: 6(x + 5) = 96. What is x?
  12. 12.Solve: m/4 + 12 = 22. What is m?
  13. 13.Solve: 5y + 4 = 24. What is y?
  14. 14.Solve: 9m + 13 = 58. What is m?
  15. 15.Solve: 2x + 13 = 37. What is x?
  16. 16.Solve: y/7 + 19 = 23. What is y?
  17. 17.Solve: x/5 + 5 = 9. What is x?
  18. 18.Solve: x/3 + 15 = 16. What is x?
  19. 19.Ananya’s mother is three times as old as Ananya. Their ages add up to 28 years. How old is Ananya?
  20. 20.Solve: 9n + 25 = 61. What is n?
  21. 21.Solve: y/8 + 12 = 17. What is y?
  22. 22.Solve: 3n − 18 = 3. What is n?
  23. 23.Solve: n/3 + 19 = 28. What is n?
  24. 24.Solve: 3y − 1 = 38. What is y?
  25. 25.Solve: 3(n + 2) = 33. What is n?
  26. 26.Priya is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  27. 27.Solve: y/6 + 6 = 15. What is y?
  28. 28.Solve: 4t + 25 = 61. What is t?
  29. 29.Aditya thinks of a number, multiplies it by 3 and then adds 21. The result is 39. What is the number?
  30. 30.Solve: 4n − 25 = 35. What is n?
  31. 31.Farhan is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  32. 32.Solve: 8(x + 6) = 112. What is x?
  33. 33.Solve: 8(p + 5) = 160. What is p?
  34. 34.Karan is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  35. 35.Solve: 9x + 1 = 91. What is x?
  36. 36.Solve: 7y − 6 = 1. What is y?
  37. 37.Solve: x/6 + 4 = 19. What is x?
  38. 38.Solve: 2x − 15 = 9. What is x?
  39. 39.Saanvi thinks of a number, multiplies it by 8 and then adds 25. The result is 113. What is the number?
  40. 40.Arjun thinks of a number, multiplies it by 3 and then adds 2. The result is 20. What is the number?

Answer key

  1. 15
  2. 4
  3. 24
  4. 8
  5. 4
  6. 9
  7. 4
  8. 12
  9. 1
  10. 15
  11. 11
  12. 40
  13. 4
  14. 5
  15. 12
  16. 28
  17. 20
  18. 3
  19. 7
  20. 4
  21. 40
  22. 7
  23. 27
  24. 13
  25. 9
  26. 12
  27. 54
  28. 9
  29. 6
  30. 15
  31. 5
  32. 8
  33. 15
  34. 7
  35. 10
  36. 1
  37. 90
  38. 12
  39. 11
  40. 6

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