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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 835 · 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: 9n + 18 = 108. What is n?
  2. 2.Solve: n/5 + 14 = 29. What is n?
  3. 3.Solve: n/9 + 2 = 5. What is n?
  4. 4.Solve: 4x + 26 = 30. What is x?
  5. 5.Solve: 9n − 7 = 92. What is n?
  6. 6.Karan thinks of a number, multiplies it by 4 and then adds 16. The result is 32. What is the number?
  7. 7.Solve: 2(n + 1) = 10. What is n?
  8. 8.Solve: 8m + 30 = 38. What is m?
  9. 9.Solve: 3y − 7 = 2. What is y?
  10. 10.Solve: 7n − 12 = 30. What is n?
  11. 11.Riya thinks of a number, multiplies it by 5 and then adds 25. The result is 100. What is the number?
  12. 12.Solve: 3m − 17 = 19. What is m?
  13. 13.Lakshmi thinks of a number, multiplies it by 3 and then adds 21. The result is 66. What is the number?
  14. 14.Solve: 4(p + 8) = 92. What is p?
  15. 15.Solve: 4y − 11 = 1. What is y?
  16. 16.Solve: 3(n + 8) = 36. What is n?
  17. 17.Aditya thinks of a number, multiplies it by 9 and then adds 9. The result is 126. What is the number?
  18. 18.Solve: m/2 + 6 = 9. What is m?
  19. 19.Ananya’s mother is four times as old as Ananya. Their ages add up to 20 years. How old is Ananya?
  20. 20.Farhan thinks of a number, multiplies it by 2 and then adds 4. The result is 30. What is the number?
  21. 21.Solve: 9p − 21 = 114. What is p?
  22. 22.Solve: 2p + 5 = 13. What is p?
  23. 23.Kavya thinks of a number, multiplies it by 3 and then adds 6. The result is 45. What is the number?
  24. 24.Ananya thinks of a number, multiplies it by 9 and then adds 5. The result is 59. What is the number?
  25. 25.Solve: 7(y + 7) = 56. What is y?
  26. 26.Solve: 7p − 26 = 44. What is p?
  27. 27.Tara’s mother is twice as old as Tara. Their ages add up to 27 years. How old is Tara?
  28. 28.Solve: 2p − 1 = 11. What is p?
  29. 29.Solve: y/3 + 14 = 15. What is y?
  30. 30.Solve: 2y + 5 = 27. What is y?
  31. 31.Sneha thinks of a number, multiplies it by 7 and then adds 8. The result is 78. What is the number?
  32. 32.Solve: 4(t + 1) = 20. What is t?
  33. 33.Manav thinks of a number, multiplies it by 5 and then adds 3. The result is 28. What is the number?
  34. 34.Solve: 7n − 57 = 6. What is n?
  35. 35.Solve: 2x − 10 = 2. What is x?
  36. 36.Solve: 8m − 36 = 4. What is m?
  37. 37.Solve: 2p − 2 = 6. What is p?
  38. 38.Solve: 6(x + 4) = 102. What is x?
  39. 39.Meera thinks of a number, multiplies it by 9 and then adds 17. The result is 98. What is the number?
  40. 40.Vivaan thinks of a number, multiplies it by 2 and then adds 18. The result is 36. What is the number?

Answer key

  1. 10
  2. 75
  3. 27
  4. 1
  5. 11
  6. 4
  7. 4
  8. 1
  9. 3
  10. 6
  11. 15
  12. 12
  13. 15
  14. 15
  15. 3
  16. 4
  17. 13
  18. 6
  19. 4
  20. 13
  21. 15
  22. 4
  23. 13
  24. 6
  25. 1
  26. 10
  27. 9
  28. 6
  29. 3
  30. 11
  31. 10
  32. 4
  33. 5
  34. 9
  35. 6
  36. 5
  37. 4
  38. 13
  39. 9
  40. 9

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