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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 713 · 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: 3x + 19 = 2x + 29. What is x?
  2. 2.A father is 33 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?
  3. 3.The length of a rectangle is 6 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  4. 4.The sum of two consecutive whole numbers is 29. What is the smallest of them?
  5. 5.The sum of four consecutive whole numbers is 78. What is the smallest of them?
  6. 6.Solve: 5(x − 4) = 2x + 19. What is x?
  7. 7.The sum of three consecutive whole numbers is 165. What is the smallest of them?
  8. 8.Solve: y/5 + y/3 = 64. What is y?
  9. 9.The length of a rectangle is 8 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  10. 10.The length of a rectangle is 9 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  11. 11.The sum of two consecutive whole numbers is 115. What is the largest of them?
  12. 12.The sum of two consecutive whole numbers is 51. What is the largest of them?
  13. 13.Solve: 5m + 7 = 4m + 11. What is m?
  14. 14.The sum of two consecutive whole numbers is 81. What is the smallest of them?
  15. 15.Solve: 3y + 1 = 2y + 11. What is y?
  16. 16.A father is 14 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?
  17. 17.Solve: 5(t − 4) = 4t + 9. What is t?
  18. 18.The sum of four consecutive whole numbers is 74. What is the smallest of them?
  19. 19.Solve: y/4 + y/6 = 15. What is y?
  20. 20.The sum of four consecutive whole numbers is 150. What is the smallest of them?
  21. 21.Solve: 4m + 6 = m + 33. What is m?
  22. 22.The length of a rectangle is 4 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  23. 23.Solve: 6y + 6 = 3y + 33. What is y?
  24. 24.The sum of four consecutive whole numbers is 122. What is the smallest of them?
  25. 25.Solve: 9p + 18 = 2p + 53. What is p?
  26. 26.The sum of four consecutive whole numbers is 158. What is the largest of them?
  27. 27.Solve: 4(x − 2) = 3x + 9. What is x?
  28. 28.Solve: 5m + 6 = 2m + 45. What is m?
  29. 29.The length of a rectangle is 2 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  30. 30.Solve: 6m + 6 = m + 16. What is m?
  31. 31.The length of a rectangle is 6 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  32. 32.The length of a rectangle is 11 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  33. 33.A father is 28 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?
  34. 34.Solve: 3p + 1 = p + 27. What is p?
  35. 35.The sum of three consecutive whole numbers is 183. What is the smallest of them?
  36. 36.The length of a rectangle is 1 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  37. 37.Solve: 9p + 15 = 8p + 21. What is p?
  38. 38.The sum of four consecutive whole numbers is 150. What is the largest of them?
  39. 39.Solve: 7y + 3 = 5y + 17. What is y?
  40. 40.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?

Answer key

  1. 10
  2. 3
  3. 25
  4. 14
  5. 18
  6. 13
  7. 54
  8. 120
  9. 29
  10. 23
  11. 58
  12. 26
  13. 4
  14. 40
  15. 10
  16. 2
  17. 29
  18. 17
  19. 36
  20. 36
  21. 9
  22. 4
  23. 9
  24. 29
  25. 5
  26. 41
  27. 17
  28. 13
  29. 20
  30. 2
  31. 8
  32. 19
  33. 7
  34. 13
  35. 60
  36. 23
  37. 6
  38. 39
  39. 7
  40. 3

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