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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 598 · 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: 5(t − 3) = 4t + 10. What is t?
  2. 2.Solve: x/2 + x/5 = 7. What is x?
  3. 3.Solve: 3(y − 5) = 2y + 6. What is y?
  4. 4.Solve: 6(x − 2) = x + 63. What is x?
  5. 5.Solve: 4x + 13 = x + 19. What is x?
  6. 6.The length of a rectangle is 4 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  7. 7.Solve: 4(x − 4) = x + 17. What is x?
  8. 8.The sum of two consecutive whole numbers is 85. What is the smallest of them?
  9. 9.Solve: 5m + 10 = m + 54. What is m?
  10. 10.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  11. 11.The sum of three consecutive whole numbers is 96. What is the smallest of them?
  12. 12.The sum of two consecutive whole numbers is 57. What is the largest of them?
  13. 13.A father is 30 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  14. 14.Solve: 9y + 8 = 3y + 68. What is y?
  15. 15.The sum of two consecutive whole numbers is 69. What is the largest of them?
  16. 16.Solve: 3(x − 4) = 2x + 6. What is x?
  17. 17.The length of a rectangle is 15 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  18. 18.Solve: 7x + 11 = 6x + 25. What is x?
  19. 19.Solve: 7t + 18 = 2t + 48. What is t?
  20. 20.Solve: 5(p − 1) = 2p + 16. What is p?
  21. 21.Solve: n/2 + n/3 = 20. What is n?
  22. 22.A father is 24 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?
  23. 23.The length of a rectangle is 12 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  24. 24.Solve: 4m + 1 = 3m + 2. What is m?
  25. 25.The length of a rectangle is 1 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
  26. 26.The length of a rectangle is 6 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  27. 27.The sum of four consecutive whole numbers is 146. What is the smallest of them?
  28. 28.Solve: 3(x − 4) = 2x + 5. What is x?
  29. 29.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?
  30. 30.Solve: 9m + 7 = 2m + 84. What is m?
  31. 31.Solve: x/2 + x/6 = 12. What is x?
  32. 32.Solve: x/6 + x/4 = 40. What is x?
  33. 33.Solve: p/4 + p/6 = 20. What is p?
  34. 34.Solve: 7x + 19 = 6x + 25. What is x?
  35. 35.The length of a rectangle is 10 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  36. 36.Solve: 3(y − 3) = 2y + 2. What is y?
  37. 37.The length of a rectangle is 5 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  38. 38.The sum of two consecutive whole numbers is 19. What is the smallest of them?
  39. 39.Solve: p/2 + p/4 = 15. What is p?
  40. 40.The length of a rectangle is 15 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?

Answer key

  1. 25
  2. 10
  3. 21
  4. 15
  5. 2
  6. 14
  7. 11
  8. 42
  9. 11
  10. 3
  11. 31
  12. 29
  13. 8
  14. 10
  15. 35
  16. 18
  17. 25
  18. 14
  19. 6
  20. 7
  21. 24
  22. 4
  23. 19
  24. 1
  25. 4
  26. 21
  27. 35
  28. 17
  29. 12
  30. 11
  31. 18
  32. 96
  33. 48
  34. 6
  35. 22
  36. 11
  37. 9
  38. 9
  39. 20
  40. 3

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