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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 690 · 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: 3(t − 2) = 2t + 8. What is t?
  2. 2.Solve: 4(y − 4) = 2y + 16. What is y?
  3. 3.A father is 10 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  4. 4.Solve: 3y + 15 = 2y + 18. What is y?
  5. 5.The sum of three consecutive whole numbers is 144. What is the smallest of them?
  6. 6.Solve: 3(y − 3) = 2y + 13. What is y?
  7. 7.Solve: m/2 + m/4 = 6. What is m?
  8. 8.Solve: 3x + 6 = 2x + 19. What is x?
  9. 9.The sum of three consecutive whole numbers is 123. What is the smallest of them?
  10. 10.Solve: 3(t − 5) = t + 17. What is t?
  11. 11.Solve: 3y + 4 = 2y + 8. What is y?
  12. 12.The length of a rectangle is 2 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  13. 13.Solve: t/2 + t/4 = 21. What is t?
  14. 14.Solve: 9x + 17 = 3x + 35. What is x?
  15. 15.The length of a rectangle is 9 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  16. 16.The sum of two consecutive whole numbers is 65. What is the largest of them?
  17. 17.A father is 9 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  18. 18.Solve: 3y + 15 = 2y + 17. What is y?
  19. 19.The length of a rectangle is 7 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  20. 20.The length of a rectangle is 1 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  21. 21.Solve: n/6 + n/5 = 44. What is n?
  22. 22.Solve: 9t + 16 = 7t + 38. What is t?
  23. 23.Solve: 6(n − 5) = 3n + 21. What is n?
  24. 24.A father is 12 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  25. 25.The sum of three consecutive whole numbers is 183. What is the largest of them?
  26. 26.The sum of two consecutive whole numbers is 99. What is the smallest of them?
  27. 27.Solve: 4t + 14 = 3t + 20. What is t?
  28. 28.The sum of three consecutive whole numbers is 78. What is the smallest of them?
  29. 29.The length of a rectangle is 1 cm more than its width. Its perimeter is 10 cm. What is its width (in cm)?
  30. 30.The sum of two consecutive whole numbers is 59. What is the smallest of them?
  31. 31.Solve: 6(p − 2) = 2p + 4. What is p?
  32. 32.Solve: p/3 + p/6 = 3. What is p?
  33. 33.Solve: 3(x − 4) = x + 16. What is x?
  34. 34.The sum of two consecutive whole numbers is 11. What is the largest of them?
  35. 35.Solve: 3p + 4 = 2p + 18. What is p?
  36. 36.Solve: 3(y − 4) = 2y + 7. What is y?
  37. 37.Solve: m/5 + m/2 = 7. What is m?
  38. 38.Solve: 4p + 15 = 2p + 45. What is p?
  39. 39.Solve: 5(x − 4) = 3x + 14. What is x?
  40. 40.The length of a rectangle is 10 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?

Answer key

  1. 14
  2. 16
  3. 8
  4. 3
  5. 47
  6. 22
  7. 8
  8. 13
  9. 40
  10. 16
  11. 4
  12. 26
  13. 28
  14. 3
  15. 6
  16. 33
  17. 5
  18. 2
  19. 6
  20. 14
  21. 120
  22. 11
  23. 17
  24. 3
  25. 62
  26. 49
  27. 6
  28. 25
  29. 2
  30. 29
  31. 4
  32. 6
  33. 14
  34. 6
  35. 14
  36. 19
  37. 10
  38. 15
  39. 17
  40. 29

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