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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 520 · 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: x/3 + x/2 = 35. What is x?
  2. 2.The length of a rectangle is 5 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  3. 3.Solve: 3(p − 3) = 2p + 7. What is p?
  4. 4.Solve: m/4 + m/6 = 10. What is m?
  5. 5.Solve: t/4 + t/2 = 18. What is t?
  6. 6.The sum of two consecutive whole numbers is 53. What is the smallest of them?
  7. 7.The sum of three consecutive whole numbers is 126. What is the smallest of them?
  8. 8.Solve: 3t + 9 = 2t + 18. What is t?
  9. 9.The length of a rectangle is 15 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  10. 10.A father is 21 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  11. 11.Solve: 5(m − 1) = 3m + 17. What is m?
  12. 12.The sum of three consecutive whole numbers is 48. What is the smallest of them?
  13. 13.The length of a rectangle is 8 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  14. 14.Solve: 5p + 13 = 2p + 22. What is p?
  15. 15.Solve: m/4 + m/5 = 27. What is m?
  16. 16.Solve: 6(n − 4) = 4n + 26. What is n?
  17. 17.Solve: 3n + 1 = n + 29. What is n?
  18. 18.The length of a rectangle is 10 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  19. 19.The sum of three consecutive whole numbers is 132. What is the smallest of them?
  20. 20.Solve: y/5 + y/4 = 63. What is y?
  21. 21.Solve: t/6 + t/5 = 22. What is t?
  22. 22.Solve: p/6 + p/5 = 55. What is p?
  23. 23.Solve: 4p + 8 = 3p + 16. What is p?
  24. 24.Solve: m/6 + m/3 = 21. What is m?
  25. 25.Solve: 3(x − 3) = x + 15. What is x?
  26. 26.A father is 9 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  27. 27.The length of a rectangle is 10 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  28. 28.A father is 8 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?
  29. 29.The length of a rectangle is 7 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  30. 30.The length of a rectangle is 6 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  31. 31.Solve: m/6 + m/5 = 77. What is m?
  32. 32.Solve: 3t + 8 = t + 36. What is t?
  33. 33.Solve: 4(x − 4) = 3x + 5. What is x?
  34. 34.Solve: y/2 + y/5 = 49. What is y?
  35. 35.The length of a rectangle is 3 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  36. 36.Solve: n/3 + n/2 = 5. What is n?
  37. 37.A father is 9 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  38. 38.The sum of three consecutive whole numbers is 102. What is the largest of them?
  39. 39.Solve: p/6 + p/4 = 25. What is p?
  40. 40.The length of a rectangle is 3 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?

Answer key

  1. 42
  2. 27
  3. 16
  4. 24
  5. 24
  6. 26
  7. 41
  8. 9
  9. 8
  10. 3
  11. 11
  12. 15
  13. 25
  14. 3
  15. 60
  16. 25
  17. 14
  18. 11
  19. 43
  20. 140
  21. 60
  22. 150
  23. 8
  24. 42
  25. 12
  26. 3
  27. 16
  28. 3
  29. 7
  30. 25
  31. 210
  32. 14
  33. 21
  34. 70
  35. 9
  36. 6
  37. 2
  38. 35
  39. 60
  40. 6

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