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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 999 · 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: 8x + 5 = 2x + 95. What is x?
  2. 2.Solve: 3(m − 2) = m + 8. What is m?
  3. 3.The length of a rectangle is 6 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  4. 4.The length of a rectangle is 12 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  5. 5.Solve: 4(x − 1) = 3x + 10. What is x?
  6. 6.A father is 13 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  7. 7.Solve: 6(x − 2) = 3x + 21. What is x?
  8. 8.Solve: 8m + 4 = 2m + 76. What is m?
  9. 9.Solve: 4(t − 5) = t + 31. What is t?
  10. 10.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
  11. 11.Solve: 4(m − 3) = m + 3. What is m?
  12. 12.Solve: t/4 + t/5 = 45. What is t?
  13. 13.Solve: 5x + 4 = 4x + 18. What is x?
  14. 14.The sum of two consecutive whole numbers is 83. What is the largest of them?
  15. 15.A father is 16 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  16. 16.Solve: 6n + 10 = 5n + 11. What is n?
  17. 17.Solve: y/5 + y/2 = 56. What is y?
  18. 18.Solve: m/6 + m/4 = 40. What is m?
  19. 19.The length of a rectangle is 10 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  20. 20.The length of a rectangle is 7 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  21. 21.Solve: 4p + 6 = 2p + 8. What is p?
  22. 22.The length of a rectangle is 1 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  23. 23.The length of a rectangle is 9 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  24. 24.Solve: 4(y − 5) = 2y + 12. What is y?
  25. 25.Solve: 6n + 9 = 4n + 37. What is n?
  26. 26.Solve: 5n + 14 = 4n + 25. What is n?
  27. 27.Solve: 9x + 6 = 8x + 16. What is x?
  28. 28.The sum of three consecutive whole numbers is 180. What is the smallest of them?
  29. 29.Solve: 8y + 17 = 4y + 57. What is y?
  30. 30.Solve: 6m + 6 = 5m + 17. What is m?
  31. 31.The length of a rectangle is 5 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  32. 32.Solve: 4y + 9 = 2y + 15. What is y?
  33. 33.Solve: x/4 + x/3 = 7. What is x?
  34. 34.Solve: p/4 + p/2 = 9. What is p?
  35. 35.Solve: x/3 + x/4 = 35. What is x?
  36. 36.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?
  37. 37.Solve: 6x + 3 = 3x + 24. What is x?
  38. 38.Solve: m/6 + m/4 = 10. What is m?
  39. 39.Solve: 7p + 14 = 5p + 34. What is p?
  40. 40.The sum of four consecutive whole numbers is 178. What is the smallest of them?

Answer key

  1. 15
  2. 7
  3. 13
  4. 11
  5. 14
  6. 7
  7. 11
  8. 12
  9. 17
  10. 3
  11. 5
  12. 100
  13. 14
  14. 42
  15. 10
  16. 1
  17. 80
  18. 96
  19. 15
  20. 14
  21. 1
  22. 6
  23. 9
  24. 16
  25. 14
  26. 11
  27. 10
  28. 59
  29. 10
  30. 11
  31. 11
  32. 3
  33. 12
  34. 12
  35. 60
  36. 3
  37. 7
  38. 24
  39. 10
  40. 43

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