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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 839 · 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: x/6 + x/3 = 24. What is x?
  2. 2.A father is 12 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?
  3. 3.Solve: n/2 + n/5 = 7. What is n?
  4. 4.Solve: p/2 + p/4 = 3. What is p?
  5. 5.Solve: y/4 + y/6 = 35. What is y?
  6. 6.The sum of two consecutive whole numbers is 121. What is the largest of them?
  7. 7.Solve: 4(m − 4) = m + 35. What is m?
  8. 8.Solve: y/6 + y/2 = 16. What is y?
  9. 9.The sum of three consecutive whole numbers is 30. What is the smallest of them?
  10. 10.Solve: 3(p − 5) = 2p + 1. What is p?
  11. 11.A father is 28 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?
  12. 12.Solve: t/4 + t/3 = 56. What is t?
  13. 13.A father is 42 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?
  14. 14.The sum of three consecutive whole numbers is 69. What is the largest of them?
  15. 15.The length of a rectangle is 14 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  16. 16.Solve: p/2 + p/3 = 25. What is p?
  17. 17.The sum of two consecutive whole numbers is 71. What is the largest of them?
  18. 18.Solve: p/2 + p/4 = 21. What is p?
  19. 19.Solve: t/6 + t/3 = 18. What is t?
  20. 20.The length of a rectangle is 4 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  21. 21.Solve: 8x + 7 = 7x + 17. What is x?
  22. 22.Solve: 3(p − 4) = p + 14. What is p?
  23. 23.Solve: n/6 + n/4 = 5. What is n?
  24. 24.Solve: x/6 + x/2 = 28. What is x?
  25. 25.Solve: 5(t − 3) = t + 13. What is t?
  26. 26.Solve: y/5 + y/2 = 49. What is y?
  27. 27.The length of a rectangle is 12 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  28. 28.The sum of three consecutive whole numbers is 105. What is the smallest of them?
  29. 29.Solve: 3t + 4 = t + 16. What is t?
  30. 30.The sum of four consecutive whole numbers is 138. What is the largest of them?
  31. 31.The length of a rectangle is 1 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  32. 32.Solve: 3(t − 1) = t + 19. What is t?
  33. 33.Solve: 4p + 19 = p + 25. What is p?
  34. 34.Solve: 6n + 13 = 2n + 61. What is n?
  35. 35.The sum of three consecutive whole numbers is 141. What is the largest of them?
  36. 36.Solve: 7p + 5 = 2p + 15. What is p?
  37. 37.Solve: n/5 + n/2 = 14. What is n?
  38. 38.Solve: 3n + 14 = 2n + 16. What is n?
  39. 39.The length of a rectangle is 8 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
  40. 40.Solve: x/4 + x/2 = 24. What is x?

Answer key

  1. 48
  2. 2
  3. 10
  4. 4
  5. 84
  6. 61
  7. 17
  8. 24
  9. 9
  10. 16
  11. 11
  12. 96
  13. 10
  14. 24
  15. 10
  16. 30
  17. 36
  18. 28
  19. 36
  20. 19
  21. 10
  22. 13
  23. 12
  24. 42
  25. 7
  26. 70
  27. 12
  28. 34
  29. 6
  30. 36
  31. 29
  32. 11
  33. 2
  34. 12
  35. 48
  36. 2
  37. 20
  38. 2
  39. 30
  40. 32

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