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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 279 · 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: n/4 + 13 = 21. What is n?
  2. 2.Solve: 4m + 4 = 16. What is m?
  3. 3.Solve: 5(n + 2) = 85. What is n?
  4. 4.Solve: 3y + 8 = 11. What is y?
  5. 5.Solve: 3p − 26 = 16. What is p?
  6. 6.Solve: 5n − 3 = 22. What is n?
  7. 7.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 27 years. How old is Saanvi?
  8. 8.Solve: x/7 + 19 = 31. What is x?
  9. 9.Ishaan is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  10. 10.Solve: t/3 + 14 = 17. What is t?
  11. 11.Solve: 2n − 4 = 10. What is n?
  12. 12.Aditya thinks of a number, multiplies it by 2 and then adds 28. The result is 32. What is the number?
  13. 13.Solve: n/7 + 16 = 24. What is n?
  14. 14.Sneha thinks of a number, multiplies it by 5 and then adds 7. The result is 77. What is the number?
  15. 15.Solve: 6p − 35 = 31. What is p?
  16. 16.Solve: t/2 + 3 = 17. What is t?
  17. 17.Priya thinks of a number, multiplies it by 7 and then adds 2. The result is 23. What is the number?
  18. 18.Solve: 9(t + 2) = 81. What is t?
  19. 19.Solve: 8y − 11 = 5. What is y?
  20. 20.Lakshmi thinks of a number, multiplies it by 7 and then adds 26. The result is 54. What is the number?
  21. 21.Solve: 3(x + 7) = 66. What is x?
  22. 22.Solve: 2(x + 9) = 48. What is x?
  23. 23.Solve: m/4 + 14 = 27. What is m?
  24. 24.Solve: 9m + 4 = 31. What is m?
  25. 25.Meera thinks of a number, multiplies it by 9 and then adds 2. The result is 11. What is the number?
  26. 26.Ananya is 1 years older than a cousin. Their ages add up to 9 years. How old is the cousin?
  27. 27.Solve: 3y − 10 = 26. What is y?
  28. 28.Solve: 5y − 17 = 53. What is y?
  29. 29.Solve: 5y − 53 = 12. What is y?
  30. 30.Solve: 4n − 36 = 12. What is n?
  31. 31.Solve: 4t + 3 = 47. What is t?
  32. 32.Solve: x/8 + 4 = 8. What is x?
  33. 33.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 12 years. How old is Lakshmi?
  34. 34.Solve: y/2 + 17 = 24. What is y?
  35. 35.Manav thinks of a number, multiplies it by 3 and then adds 26. The result is 59. What is the number?
  36. 36.Solve: 5y + 5 = 20. What is y?
  37. 37.Solve: 3t + 25 = 67. What is t?
  38. 38.Solve: 9y − 1 = 8. What is y?
  39. 39.Riya thinks of a number, multiplies it by 9 and then adds 14. The result is 41. What is the number?
  40. 40.Farhan is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?

Answer key

  1. 32
  2. 3
  3. 15
  4. 1
  5. 14
  6. 5
  7. 9
  8. 84
  9. 7
  10. 9
  11. 7
  12. 2
  13. 56
  14. 14
  15. 11
  16. 28
  17. 3
  18. 7
  19. 2
  20. 4
  21. 15
  22. 15
  23. 52
  24. 3
  25. 1
  26. 4
  27. 12
  28. 14
  29. 13
  30. 12
  31. 11
  32. 32
  33. 4
  34. 14
  35. 11
  36. 3
  37. 14
  38. 1
  39. 3
  40. 7

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