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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 476 · 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 sum of two consecutive whole numbers is 79. What is the smallest of them?
  2. 2.The sum of three consecutive whole numbers is 162. What is the largest of them?
  3. 3.Solve: n/5 + n/4 = 9. What is n?
  4. 4.The sum of three consecutive whole numbers is 165. What is the smallest of them?
  5. 5.Solve: 3t + 11 = 2t + 24. What is t?
  6. 6.The sum of two consecutive whole numbers is 95. What is the smallest of them?
  7. 7.Solve: 4(x − 4) = 2x + 8. What is x?
  8. 8.Solve: y/4 + y/2 = 6. What is y?
  9. 9.The sum of four consecutive whole numbers is 226. What is the smallest of them?
  10. 10.The sum of two consecutive whole numbers is 121. What is the smallest of them?
  11. 11.The sum of three consecutive whole numbers is 48. What is the smallest of them?
  12. 12.Solve: 6t + 9 = t + 59. What is t?
  13. 13.The length of a rectangle is 3 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  14. 14.The sum of four consecutive whole numbers is 50. What is the largest of them?
  15. 15.A father is 7 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  16. 16.Solve: 3(x − 4) = 2x + 5. What is x?
  17. 17.Solve: t/3 + t/6 = 3. What is t?
  18. 18.The sum of four consecutive whole numbers is 194. What is the smallest of them?
  19. 19.Solve: 6(p − 2) = 2p + 24. What is p?
  20. 20.Solve: p/3 + p/6 = 3. What is p?
  21. 21.Solve: 7p + 4 = 3p + 20. What is p?
  22. 22.The sum of three consecutive whole numbers is 33. What is the smallest of them?
  23. 23.Solve: y/4 + y/2 = 3. What is y?
  24. 24.Solve: 5(y − 1) = 4y + 2. What is y?
  25. 25.The length of a rectangle is 4 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  26. 26.Solve: 4(y − 2) = 2y + 8. What is y?
  27. 27.The sum of three consecutive whole numbers is 66. What is the smallest of them?
  28. 28.Solve: t/3 + t/5 = 32. What is t?
  29. 29.Solve: 5m + 12 = 2m + 39. What is m?
  30. 30.The length of a rectangle is 9 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  31. 31.A father is 36 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  32. 32.The length of a rectangle is 13 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  33. 33.Solve: 3y + 6 = 2y + 9. What is y?
  34. 34.A father is 20 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?
  35. 35.Solve: 8t + 18 = 6t + 46. What is t?
  36. 36.The length of a rectangle is 11 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  37. 37.The length of a rectangle is 9 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  38. 38.Solve: 4(y − 3) = 2y + 24. What is y?
  39. 39.The sum of four consecutive whole numbers is 202. What is the largest of them?
  40. 40.The length of a rectangle is 15 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?

Answer key

  1. 39
  2. 55
  3. 20
  4. 54
  5. 13
  6. 47
  7. 12
  8. 8
  9. 55
  10. 60
  11. 15
  12. 10
  13. 6
  14. 14
  15. 5
  16. 17
  17. 6
  18. 47
  19. 9
  20. 6
  21. 4
  22. 10
  23. 4
  24. 7
  25. 23
  26. 8
  27. 21
  28. 60
  29. 9
  30. 29
  31. 6
  32. 21
  33. 3
  34. 7
  35. 14
  36. 6
  37. 14
  38. 18
  39. 52
  40. 17

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