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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 199 · 40 sums
TalentJR

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: 2n − 6 = 2. What is n?
  2. 2.Solve: 9m + 18 = 72. What is m?
  3. 3.Solve: 2(n + 1) = 28. What is n?
  4. 4.Solve: n/3 + 17 = 31. What is n?
  5. 5.Solve: 2t + 27 = 53. What is t?
  6. 6.Solve: 3y − 18 = 27. What is y?
  7. 7.Solve: 6(x + 5) = 42. What is x?
  8. 8.Diya thinks of a number, multiplies it by 5 and then adds 16. The result is 91. What is the number?
  9. 9.Solve: 6n − 9 = 9. What is n?
  10. 10.Solve: 4m + 7 = 39. What is m?
  11. 11.Solve: 2y + 12 = 22. What is y?
  12. 12.Solve: y/5 + 19 = 32. What is y?
  13. 13.Solve: 4m − 2 = 6. What is m?
  14. 14.Solve: 7t + 13 = 104. What is t?
  15. 15.Sneha is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  16. 16.Solve: 6x + 26 = 74. What is x?
  17. 17.Solve: 3(t + 3) = 51. What is t?
  18. 18.Manav thinks of a number, multiplies it by 5 and then adds 4. The result is 69. What is the number?
  19. 19.Solve: 5(x + 3) = 30. What is x?
  20. 20.Solve: 8p − 39 = 25. What is p?
  21. 21.Solve: y/7 + 11 = 19. What is y?
  22. 22.Solve: 3m + 29 = 59. What is m?
  23. 23.Solve: t/4 + 19 = 34. What is t?
  24. 24.Meera is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  25. 25.Solve: 7p − 88 = 17. What is p?
  26. 26.Solve: 5(p + 2) = 30. What is p?
  27. 27.Gurpreet thinks of a number, multiplies it by 3 and then adds 11. The result is 56. What is the number?
  28. 28.Solve: 6n − 25 = 65. What is n?
  29. 29.Solve: 2x + 25 = 53. What is x?
  30. 30.Solve: 2x − 13 = 1. What is x?
  31. 31.Tara thinks of a number, multiplies it by 7 and then adds 2. The result is 30. What is the number?
  32. 32.Solve: 3t + 7 = 10. What is t?
  33. 33.Solve: 3y − 2 = 10. What is y?
  34. 34.Solve: 2x − 2 = 26. What is x?
  35. 35.Solve: 4m + 4 = 36. What is m?
  36. 36.Solve: 4m + 18 = 66. What is m?
  37. 37.Solve: m/2 + 13 = 17. What is m?
  38. 38.Solve: 4y − 5 = 23. What is y?
  39. 39.Solve: 5(n + 5) = 65. What is n?
  40. 40.Solve: 8m − 19 = 45. What is m?

Answer key

  1. 4
  2. 6
  3. 13
  4. 42
  5. 13
  6. 15
  7. 2
  8. 15
  9. 3
  10. 8
  11. 5
  12. 65
  13. 2
  14. 13
  15. 11
  16. 8
  17. 14
  18. 13
  19. 3
  20. 8
  21. 56
  22. 10
  23. 60
  24. 6
  25. 15
  26. 4
  27. 15
  28. 15
  29. 14
  30. 7
  31. 4
  32. 1
  33. 4
  34. 14
  35. 8
  36. 12
  37. 8
  38. 7
  39. 8
  40. 8

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