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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 399 · 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: 6p + 24 = 30. What is p?
  2. 2.Solve: m/2 + 3 = 13. What is m?
  3. 3.Ishaan thinks of a number, multiplies it by 7 and then adds 29. The result is 50. What is the number?
  4. 4.Solve: 2y + 2 = 22. What is y?
  5. 5.Solve: p/9 + 13 = 26. What is p?
  6. 6.Solve: 7x − 1 = 6. What is x?
  7. 7.Manav’s mother is three times as old as Manav. Their ages add up to 36 years. How old is Manav?
  8. 8.Vivaan thinks of a number, multiplies it by 4 and then adds 20. The result is 68. What is the number?
  9. 9.Solve: x/3 + 17 = 21. What is x?
  10. 10.Solve: 5(t + 3) = 70. What is t?
  11. 11.Solve: 2(t + 6) = 16. What is t?
  12. 12.Saanvi is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  13. 13.Solve: 6(m + 5) = 78. What is m?
  14. 14.Solve: 5y + 11 = 26. What is y?
  15. 15.Solve: 2(m + 5) = 24. What is m?
  16. 16.Solve: 2t + 10 = 16. What is t?
  17. 17.Farhan thinks of a number, multiplies it by 2 and then adds 5. The result is 9. What is the number?
  18. 18.Solve: 8p − 31 = 81. What is p?
  19. 19.Meera is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  20. 20.Solve: 5x + 18 = 38. What is x?
  21. 21.Sneha thinks of a number, multiplies it by 6 and then adds 30. The result is 102. What is the number?
  22. 22.Solve: 7(t + 4) = 112. What is t?
  23. 23.Lakshmi thinks of a number, multiplies it by 6 and then adds 24. The result is 84. What is the number?
  24. 24.Solve: t/4 + 3 = 12. What is t?
  25. 25.Aditya thinks of a number, multiplies it by 4 and then adds 20. The result is 24. What is the number?
  26. 26.Solve: 7n − 66 = 4. What is n?
  27. 27.Arjun thinks of a number, multiplies it by 7 and then adds 11. The result is 81. What is the number?
  28. 28.Rohan thinks of a number, multiplies it by 6 and then adds 28. The result is 112. What is the number?
  29. 29.Solve: 5p − 6 = 14. What is p?
  30. 30.Solve: 3x + 9 = 51. What is x?
  31. 31.Solve: n/9 + 10 = 24. What is n?
  32. 32.Solve: m/3 + 12 = 15. What is m?
  33. 33.Solve: 4n − 1 = 7. What is n?
  34. 34.Solve: 2m + 18 = 34. What is m?
  35. 35.Solve: 2x − 16 = 8. What is x?
  36. 36.Solve: 3y + 19 = 55. What is y?
  37. 37.Solve: 5(n + 4) = 75. What is n?
  38. 38.Solve: 3y + 24 = 36. What is y?
  39. 39.Solve: m/9 + 9 = 12. What is m?
  40. 40.Solve: 2n + 15 = 21. What is n?

Answer key

  1. 1
  2. 20
  3. 3
  4. 10
  5. 117
  6. 1
  7. 9
  8. 12
  9. 12
  10. 11
  11. 2
  12. 7
  13. 8
  14. 3
  15. 7
  16. 3
  17. 2
  18. 14
  19. 6
  20. 4
  21. 12
  22. 12
  23. 10
  24. 36
  25. 1
  26. 10
  27. 10
  28. 14
  29. 4
  30. 14
  31. 126
  32. 9
  33. 2
  34. 8
  35. 12
  36. 12
  37. 11
  38. 4
  39. 27
  40. 3

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