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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 939 · 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.The length of a rectangle is 12 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  2. 2.The sum of four consecutive whole numbers is 86. What is the smallest of them?
  3. 3.The sum of three consecutive whole numbers is 75. What is the largest of them?
  4. 4.Solve: 5(x − 3) = 4x + 10. What is x?
  5. 5.A father is 10 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?
  6. 6.The sum of two consecutive whole numbers is 11. What is the smallest of them?
  7. 7.The sum of four consecutive whole numbers is 46. What is the largest of them?
  8. 8.A father is 30 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  9. 9.A father is 39 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?
  10. 10.Solve: 4(x − 2) = 3x + 7. What is x?
  11. 11.Solve: 8t + 18 = t + 74. What is t?
  12. 12.A father is 24 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  13. 13.Solve: 3m + 15 = m + 23. What is m?
  14. 14.Solve: n/3 + n/6 = 24. What is n?
  15. 15.Solve: y/5 + y/4 = 63. What is y?
  16. 16.Solve: 4p + 5 = 3p + 14. What is p?
  17. 17.The sum of two consecutive whole numbers is 49. What is the largest of them?
  18. 18.Solve: 4t + 10 = t + 31. What is t?
  19. 19.Solve: 5t + 16 = t + 48. What is t?
  20. 20.Solve: 6(y − 1) = y + 34. What is y?
  21. 21.The sum of two consecutive whole numbers is 97. What is the largest of them?
  22. 22.Solve: m/3 + m/5 = 8. What is m?
  23. 23.Solve: 5(p − 2) = 2p + 11. What is p?
  24. 24.Solve: y/6 + y/4 = 30. What is y?
  25. 25.The sum of three consecutive whole numbers is 21. What is the largest of them?
  26. 26.The sum of four consecutive whole numbers is 206. What is the smallest of them?
  27. 27.Solve: 4(p − 2) = 2p + 24. What is p?
  28. 28.The length of a rectangle is 6 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  29. 29.Solve: 3(p − 1) = 2p + 8. What is p?
  30. 30.The length of a rectangle is 9 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  31. 31.Solve: 5m + 1 = m + 13. What is m?
  32. 32.Solve: x/4 + x/3 = 14. What is x?
  33. 33.Solve: 8y + 13 = 4y + 29. What is y?
  34. 34.Solve: 8m + 3 = m + 24. What is m?
  35. 35.The sum of two consecutive whole numbers is 121. What is the smallest of them?
  36. 36.The length of a rectangle is 14 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  37. 37.Solve: t/4 + t/5 = 18. What is t?
  38. 38.The sum of four consecutive whole numbers is 214. What is the smallest of them?
  39. 39.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?
  40. 40.Solve: 4x + 13 = 2x + 41. What is x?

Answer key

  1. 9
  2. 20
  3. 26
  4. 25
  5. 4
  6. 5
  7. 13
  8. 12
  9. 9
  10. 15
  11. 8
  12. 6
  13. 4
  14. 48
  15. 140
  16. 9
  17. 25
  18. 7
  19. 8
  20. 8
  21. 49
  22. 15
  23. 7
  24. 72
  25. 8
  26. 50
  27. 16
  28. 10
  29. 11
  30. 22
  31. 3
  32. 24
  33. 4
  34. 3
  35. 60
  36. 24
  37. 40
  38. 52
  39. 3
  40. 14

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