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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 490 · 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.The sum of three consecutive whole numbers is 159. What is the smallest of them?
  2. 2.The length of a rectangle is 8 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  3. 3.The length of a rectangle is 7 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  4. 4.The length of a rectangle is 7 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  5. 5.Solve: 5(m − 3) = 2m + 39. What is m?
  6. 6.Solve: m/4 + m/6 = 10. What is m?
  7. 7.The sum of two consecutive whole numbers is 73. What is the smallest of them?
  8. 8.Solve: 3(m − 1) = 2m + 4. What is m?
  9. 9.Solve: 4(t − 5) = t + 7. What is t?
  10. 10.Solve: 9x + 11 = 2x + 116. What is x?
  11. 11.Solve: 3(p − 1) = 2p + 9. What is p?
  12. 12.Solve: x/2 + x/5 = 28. What is x?
  13. 13.Solve: 6(y − 4) = 2y + 40. What is y?
  14. 14.A father is 30 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  15. 15.Solve: x/3 + x/4 = 56. What is x?
  16. 16.Solve: t/3 + t/2 = 10. What is t?
  17. 17.Solve: 5(t − 3) = 4t + 13. What is t?
  18. 18.The sum of four consecutive whole numbers is 170. What is the smallest of them?
  19. 19.The length of a rectangle is 6 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  20. 20.Solve: 6n + 15 = n + 45. What is n?
  21. 21.Solve: 4n + 10 = 3n + 20. What is n?
  22. 22.Solve: 3(t − 1) = t + 3. What is t?
  23. 23.Solve: 5n + 4 = 2n + 31. What is n?
  24. 24.Solve: p/5 + p/6 = 11. What is p?
  25. 25.Solve: 5(y − 2) = y + 14. What is y?
  26. 26.The length of a rectangle is 11 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  27. 27.The length of a rectangle is 5 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  28. 28.Solve: x/4 + x/6 = 5. What is x?
  29. 29.The sum of three consecutive whole numbers is 39. What is the smallest of them?
  30. 30.Solve: x/2 + x/3 = 30. What is x?
  31. 31.Solve: 4x + 18 = 2x + 26. What is x?
  32. 32.A father is 6 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  33. 33.Solve: 4p + 4 = 2p + 16. What is p?
  34. 34.Solve: 6m + 4 = m + 49. What is m?
  35. 35.Solve: 3m + 16 = 2m + 18. What is m?
  36. 36.Solve: 3(t − 1) = t + 21. What is t?
  37. 37.The sum of two consecutive whole numbers is 71. What is the largest of them?
  38. 38.A father is 13 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  39. 39.Solve: 3(y − 4) = 2y + 2. What is y?
  40. 40.Solve: 5(p − 3) = 3p + 3. What is p?

Answer key

  1. 52
  2. 8
  3. 8
  4. 21
  5. 18
  6. 24
  7. 36
  8. 7
  9. 9
  10. 15
  11. 12
  12. 40
  13. 16
  14. 3
  15. 96
  16. 12
  17. 28
  18. 41
  19. 29
  20. 6
  21. 10
  22. 3
  23. 9
  24. 30
  25. 6
  26. 14
  27. 8
  28. 12
  29. 12
  30. 36
  31. 4
  32. 3
  33. 6
  34. 9
  35. 2
  36. 12
  37. 36
  38. 12
  39. 14
  40. 9

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