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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 935 · 40 sums
TalentJR

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: 3(y − 1) = 2y + 2. What is y?
  2. 2.The sum of two consecutive whole numbers is 71. What is the largest of them?
  3. 3.Solve: 4(p − 4) = 2p + 20. What is p?
  4. 4.Solve: 6(n − 2) = n + 13. What is n?
  5. 5.Solve: n/5 + n/3 = 48. What is n?
  6. 6.Solve: p/3 + p/2 = 35. What is p?
  7. 7.Solve: 4y + 2 = y + 29. What is y?
  8. 8.A father is 18 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  9. 9.Solve: x/2 + x/3 = 20. What is x?
  10. 10.Solve: 4y + 10 = y + 43. What is y?
  11. 11.Solve: x/3 + x/5 = 56. What is x?
  12. 12.Solve: t/6 + t/4 = 15. What is t?
  13. 13.Solve: 8t + 17 = 3t + 32. What is t?
  14. 14.Solve: 5(y − 4) = 2y + 10. What is y?
  15. 15.The length of a rectangle is 14 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  16. 16.A father is 18 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  17. 17.Solve: 3(t − 2) = 2t + 2. What is t?
  18. 18.The length of a rectangle is 3 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  19. 19.Solve: y/5 + y/6 = 77. What is y?
  20. 20.A father is 20 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  21. 21.Solve: 3p + 18 = p + 40. What is p?
  22. 22.Solve: 6(p − 1) = p + 64. What is p?
  23. 23.Solve: 3(n − 4) = 2n + 4. What is n?
  24. 24.The sum of three consecutive whole numbers is 180. What is the smallest of them?
  25. 25.Solve: 3(n − 3) = n + 17. What is n?
  26. 26.Solve: 3n + 17 = n + 29. What is n?
  27. 27.The length of a rectangle is 14 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  28. 28.Solve: 8p + 15 = 5p + 60. What is p?
  29. 29.Solve: 5(p − 2) = 3p + 22. What is p?
  30. 30.The length of a rectangle is 8 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  31. 31.Solve: 7t + 12 = t + 78. What is t?
  32. 32.Solve: p/5 + p/4 = 27. What is p?
  33. 33.The sum of two consecutive whole numbers is 87. What is the largest of them?
  34. 34.The length of a rectangle is 1 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  35. 35.The length of a rectangle is 12 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  36. 36.Solve: x/6 + x/2 = 24. What is x?
  37. 37.The length of a rectangle is 2 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  38. 38.Solve: 6(m − 1) = m + 14. What is m?
  39. 39.Solve: n/6 + n/3 = 9. What is n?
  40. 40.Solve: 5(t − 1) = t + 51. What is t?

Answer key

  1. 5
  2. 36
  3. 18
  4. 5
  5. 90
  6. 42
  7. 9
  8. 4
  9. 24
  10. 11
  11. 105
  12. 36
  13. 3
  14. 10
  15. 21
  16. 2
  17. 8
  18. 5
  19. 210
  20. 9
  21. 11
  22. 14
  23. 16
  24. 59
  25. 13
  26. 6
  27. 14
  28. 15
  29. 16
  30. 10
  31. 11
  32. 60
  33. 44
  34. 6
  35. 12
  36. 36
  37. 23
  38. 4
  39. 18
  40. 14

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