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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 24 · 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 three consecutive whole numbers is 147. What is the smallest of them?
  2. 2.The sum of two consecutive whole numbers is 57. What is the largest of them?
  3. 3.Solve: y/4 + y/6 = 10. What is y?
  4. 4.Solve: 6x + 12 = 5x + 17. What is x?
  5. 5.The length of a rectangle is 8 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  6. 6.Solve: 4(x − 4) = x + 14. What is x?
  7. 7.Solve: 4p + 18 = p + 48. What is p?
  8. 8.The length of a rectangle is 2 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  9. 9.Solve: y/3 + y/6 = 24. What is y?
  10. 10.Solve: 5n + 6 = n + 54. What is n?
  11. 11.Solve: n/5 + n/6 = 77. What is n?
  12. 12.A father is 39 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  13. 13.The sum of two consecutive whole numbers is 45. What is the largest of them?
  14. 14.The sum of four consecutive whole numbers is 194. What is the largest of them?
  15. 15.Solve: 5(p − 2) = p + 46. What is p?
  16. 16.Solve: 5p + 15 = 2p + 60. What is p?
  17. 17.Solve: 6(p − 1) = 4p + 6. What is p?
  18. 18.Solve: 4(p − 2) = 3p + 13. What is p?
  19. 19.Solve: 7n + 9 = n + 21. What is n?
  20. 20.A father is 42 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  21. 21.Solve: 5p + 2 = 3p + 12. What is p?
  22. 22.The length of a rectangle is 10 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  23. 23.A father is 18 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?
  24. 24.Solve: t/2 + t/4 = 6. What is t?
  25. 25.Solve: 9y + 8 = y + 72. What is y?
  26. 26.Solve: n/4 + n/2 = 18. What is n?
  27. 27.The length of a rectangle is 13 cm more than its width. Its perimeter is 146 cm. What is its width (in cm)?
  28. 28.The length of a rectangle is 11 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  29. 29.The length of a rectangle is 9 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  30. 30.The sum of two consecutive whole numbers is 29. What is the largest of them?
  31. 31.Solve: 5(m − 4) = m + 48. What is m?
  32. 32.Solve: 5(p − 1) = p + 43. What is p?
  33. 33.A father is 12 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  34. 34.Solve: y/6 + y/5 = 55. What is y?
  35. 35.Solve: p/5 + p/4 = 63. What is p?
  36. 36.Solve: t/4 + t/2 = 6. What is t?
  37. 37.A father is 17 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  38. 38.The length of a rectangle is 3 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
  39. 39.Solve: m/6 + m/2 = 24. What is m?
  40. 40.Solve: 5(y − 1) = 4y + 3. What is y?

Answer key

  1. 48
  2. 29
  3. 24
  4. 5
  5. 27
  6. 10
  7. 10
  8. 24
  9. 48
  10. 12
  11. 210
  12. 5
  13. 23
  14. 50
  15. 14
  16. 15
  17. 6
  18. 21
  19. 2
  20. 7
  21. 5
  22. 25
  23. 6
  24. 8
  25. 8
  26. 24
  27. 30
  28. 2
  29. 2
  30. 15
  31. 17
  32. 12
  33. 7
  34. 150
  35. 140
  36. 8
  37. 12
  38. 3
  39. 36
  40. 8

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