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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 231 · 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.The length of a rectangle is 10 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
  2. 2.Solve: n/3 + n/5 = 32. What is n?
  3. 3.Solve: 5(m − 4) = m + 20. What is m?
  4. 4.The sum of four consecutive whole numbers is 86. What is the largest of them?
  5. 5.The sum of four consecutive whole numbers is 26. What is the largest of them?
  6. 6.The length of a rectangle is 10 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
  7. 7.A father is 13 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  8. 8.Solve: 6(t − 3) = t + 12. What is t?
  9. 9.The sum of two consecutive whole numbers is 49. What is the smallest of them?
  10. 10.Solve: p/6 + p/3 = 6. What is p?
  11. 11.Solve: 3(x − 5) = x + 13. What is x?
  12. 12.Solve: 6p + 15 = 2p + 39. What is p?
  13. 13.Solve: 5x + 4 = 2x + 37. What is x?
  14. 14.The length of a rectangle is 1 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  15. 15.Solve: n/6 + n/5 = 77. What is n?
  16. 16.Solve: 5(n − 4) = 4n + 2. What is n?
  17. 17.Solve: 3x + 9 = x + 19. What is x?
  18. 18.Solve: 4(m − 1) = 3m + 1. What is m?
  19. 19.The sum of four consecutive whole numbers is 90. What is the smallest of them?
  20. 20.The sum of three consecutive whole numbers is 66. What is the largest of them?
  21. 21.The sum of four consecutive whole numbers is 82. What is the largest of them?
  22. 22.Solve: 3(p − 1) = p + 1. What is p?
  23. 23.Solve: n/5 + n/6 = 77. What is n?
  24. 24.Solve: 7x + 13 = 3x + 57. What is x?
  25. 25.The length of a rectangle is 13 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  26. 26.The length of a rectangle is 4 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  27. 27.Solve: t/3 + t/4 = 7. What is t?
  28. 28.Solve: p/5 + p/6 = 22. What is p?
  29. 29.The sum of three consecutive whole numbers is 141. What is the largest of them?
  30. 30.The sum of two consecutive whole numbers is 41. What is the smallest of them?
  31. 31.The length of a rectangle is 14 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  32. 32.Solve: 6(x − 5) = 3x + 39. What is x?
  33. 33.Solve: 3p + 8 = 2p + 10. What is p?
  34. 34.Solve: y/6 + y/4 = 40. What is y?
  35. 35.Solve: 8p + 17 = 3p + 27. What is p?
  36. 36.The length of a rectangle is 3 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  37. 37.The sum of three consecutive whole numbers is 66. What is the smallest of them?
  38. 38.A father is 9 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  39. 39.The length of a rectangle is 3 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  40. 40.The length of a rectangle is 2 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?

Answer key

  1. 30
  2. 60
  3. 10
  4. 23
  5. 8
  6. 29
  7. 5
  8. 6
  9. 24
  10. 12
  11. 14
  12. 6
  13. 11
  14. 11
  15. 210
  16. 22
  17. 5
  18. 5
  19. 21
  20. 23
  21. 22
  22. 2
  23. 210
  24. 11
  25. 9
  26. 11
  27. 12
  28. 60
  29. 48
  30. 20
  31. 4
  32. 23
  33. 2
  34. 96
  35. 2
  36. 5
  37. 21
  38. 5
  39. 24
  40. 14

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