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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 951 · 40 sums
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The method (Letters one side, numbers the other): Open brackets: a(x − b) = ax − ab. Fractions: multiply both sides by the LCM of the denominators — x/3 + x/4 = 14 → 4x + 3x = 168. Move letter terms to one side and numbers to the other (change the sign when a term crosses =), then divide. Word problems: consecutive numbers are n, n + 1, n + 2 …; ages in y years are age + y.

NameDateTime takenScore ___ / 40
  1. 1.Solve: n/3 + n/2 = 35. What is n?
  2. 2.Solve: 3(y − 1) = y + 7. What is y?
  3. 3.The length of a rectangle is 7 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  4. 4.The length of a rectangle is 7 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  5. 5.The sum of four consecutive whole numbers is 54. What is the largest of them?
  6. 6.Solve: 3t + 11 = t + 37. What is t?
  7. 7.The sum of three consecutive whole numbers is 111. What is the largest of them?
  8. 8.Solve: 9t + 14 = t + 22. What is t?
  9. 9.Solve: n/4 + n/3 = 28. What is n?
  10. 10.The sum of two consecutive whole numbers is 77. What is the largest of them?
  11. 11.The sum of two consecutive whole numbers is 11. What is the largest of them?
  12. 12.A father is 12 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  13. 13.The sum of three consecutive whole numbers is 156. What is the smallest of them?
  14. 14.The sum of two consecutive whole numbers is 97. What is the smallest of them?
  15. 15.Solve: m/2 + m/4 = 15. What is m?
  16. 16.Solve: x/2 + x/6 = 32. What is x?
  17. 17.Solve: 9p + 11 = 8p + 12. What is p?
  18. 18.The sum of four consecutive whole numbers is 38. What is the largest of them?
  19. 19.The sum of four consecutive whole numbers is 66. What is the smallest of them?
  20. 20.Solve: p/6 + p/5 = 11. What is p?
  21. 21.Solve: 6(n − 2) = 4n + 2. What is n?
  22. 22.The sum of four consecutive whole numbers is 86. What is the largest of them?
  23. 23.Solve: 4x + 1 = 3x + 9. What is x?
  24. 24.Solve: 9m + 9 = 6m + 36. What is m?
  25. 25.The sum of three consecutive whole numbers is 18. What is the smallest of them?
  26. 26.The length of a rectangle is 14 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  27. 27.Solve: 3t + 1 = 2t + 14. What is t?
  28. 28.The length of a rectangle is 13 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  29. 29.Solve: 3t + 10 = t + 22. What is t?
  30. 30.Solve: 6(n − 3) = 4n + 24. What is n?
  31. 31.The length of a rectangle is 11 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  32. 32.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  33. 33.Solve: 5(n − 5) = n + 19. What is n?
  34. 34.The length of a rectangle is 4 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  35. 35.Solve: 7t + 3 = t + 87. What is t?
  36. 36.A father is 36 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  37. 37.The length of a rectangle is 3 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  38. 38.The sum of three consecutive whole numbers is 120. What is the smallest of them?
  39. 39.The length of a rectangle is 2 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  40. 40.Solve: t/4 + t/6 = 15. What is t?

Answer key

  1. 42
  2. 5
  3. 20
  4. 28
  5. 15
  6. 13
  7. 38
  8. 1
  9. 48
  10. 39
  11. 6
  12. 11
  13. 51
  14. 48
  15. 20
  16. 48
  17. 1
  18. 11
  19. 15
  20. 30
  21. 7
  22. 23
  23. 8
  24. 9
  25. 5
  26. 8
  27. 13
  28. 22
  29. 6
  30. 21
  31. 6
  32. 3
  33. 11
  34. 12
  35. 14
  36. 10
  37. 10
  38. 39
  39. 20
  40. 36

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