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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 746 · 40 sums
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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/2 + x/5 = 42. What is x?
  2. 2.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?
  3. 3.A father is 14 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  4. 4.Solve: 7m + 11 = 4m + 53. What is m?
  5. 5.The sum of three consecutive whole numbers is 90. What is the smallest of them?
  6. 6.Solve: y/5 + y/2 = 42. What is y?
  7. 7.Solve: n/2 + n/5 = 49. What is n?
  8. 8.The sum of two consecutive whole numbers is 107. What is the smallest of them?
  9. 9.Solve: 9y + 4 = 2y + 88. What is y?
  10. 10.The length of a rectangle is 15 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  11. 11.Solve: 9y + 11 = 4y + 41. What is y?
  12. 12.The length of a rectangle is 6 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  13. 13.Solve: 4(x − 3) = 3x + 10. What is x?
  14. 14.The sum of four consecutive whole numbers is 46. What is the smallest of them?
  15. 15.Solve: 6y + 5 = 3y + 8. What is y?
  16. 16.Solve: p/4 + p/2 = 18. What is p?
  17. 17.The sum of two consecutive whole numbers is 43. What is the largest of them?
  18. 18.Solve: 5p + 8 = 2p + 11. What is p?
  19. 19.Solve: 4(x − 4) = 3x + 12. What is x?
  20. 20.Solve: 3(x − 2) = x + 24. What is x?
  21. 21.The length of a rectangle is 3 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  22. 22.The sum of four consecutive whole numbers is 198. What is the largest of them?
  23. 23.Solve: 3(p − 2) = p + 10. What is p?
  24. 24.The sum of two consecutive whole numbers is 83. What is the largest of them?
  25. 25.A father is 32 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  26. 26.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?
  27. 27.The length of a rectangle is 10 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  28. 28.Solve: 7t + 10 = 2t + 65. What is t?
  29. 29.A father is 16 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  30. 30.Solve: m/5 + m/4 = 63. What is m?
  31. 31.Solve: 6(x − 5) = 5x + 3. What is x?
  32. 32.Solve: 9t + 15 = t + 23. What is t?
  33. 33.Solve: p/6 + p/3 = 3. What is p?
  34. 34.Solve: 7t + 15 = 6t + 18. What is t?
  35. 35.Solve: 8p + 18 = 6p + 30. What is p?
  36. 36.Solve: m/4 + m/3 = 35. What is m?
  37. 37.Solve: 8x + 6 = 2x + 54. What is x?
  38. 38.The length of a rectangle is 9 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  39. 39.Solve: 3m + 19 = m + 27. What is m?
  40. 40.Solve: 4(t − 5) = 2t + 12. What is t?

Answer key

  1. 60
  2. 6
  3. 3
  4. 14
  5. 29
  6. 60
  7. 70
  8. 53
  9. 12
  10. 22
  11. 6
  12. 3
  13. 22
  14. 10
  15. 1
  16. 24
  17. 22
  18. 1
  19. 28
  20. 15
  21. 17
  22. 51
  23. 8
  24. 42
  25. 11
  26. 2
  27. 15
  28. 11
  29. 8
  30. 140
  31. 33
  32. 1
  33. 6
  34. 3
  35. 6
  36. 60
  37. 8
  38. 18
  39. 4
  40. 16

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