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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 625 · 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 length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
  2. 2.The sum of four consecutive whole numbers is 42. What is the smallest of them?
  3. 3.Solve: m/2 + m/6 = 28. What is m?
  4. 4.The length of a rectangle is 6 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  5. 5.Solve: 3(n − 5) = 2n + 2. What is n?
  6. 6.A father is 48 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  7. 7.The length of a rectangle is 11 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
  8. 8.Solve: m/2 + m/6 = 32. What is m?
  9. 9.Solve: 9t + 8 = 3t + 14. What is t?
  10. 10.Solve: y/3 + y/6 = 3. What is y?
  11. 11.Solve: n/6 + n/5 = 44. What is n?
  12. 12.The sum of four consecutive whole numbers is 58. What is the smallest of them?
  13. 13.Solve: y/5 + y/3 = 16. What is y?
  14. 14.Solve: 5(y − 1) = 4y + 6. What is y?
  15. 15.The length of a rectangle is 8 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  16. 16.The sum of four consecutive whole numbers is 214. What is the smallest of them?
  17. 17.A father is 20 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?
  18. 18.Solve: 3x + 19 = x + 47. What is x?
  19. 19.The sum of three consecutive whole numbers is 57. What is the smallest of them?
  20. 20.Solve: 3y + 3 = 2y + 7. What is y?
  21. 21.Solve: m/3 + m/2 = 30. What is m?
  22. 22.The length of a rectangle is 1 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
  23. 23.Solve: 5(m − 2) = 2m + 29. What is m?
  24. 24.Solve: 3n + 15 = n + 43. What is n?
  25. 25.Solve: x/6 + x/4 = 25. What is x?
  26. 26.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?
  27. 27.Solve: 4(y − 1) = y + 20. What is y?
  28. 28.Solve: n/6 + n/5 = 77. What is n?
  29. 29.The length of a rectangle is 10 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  30. 30.The sum of two consecutive whole numbers is 121. What is the smallest of them?
  31. 31.Solve: 6(p − 4) = 2p + 24. What is p?
  32. 32.The sum of four consecutive whole numbers is 118. What is the largest of them?
  33. 33.Solve: 6(t − 1) = 3t + 21. What is t?
  34. 34.A father is 8 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  35. 35.The sum of three consecutive whole numbers is 183. What is the smallest of them?
  36. 36.Solve: 4(m − 3) = 3m + 3. What is m?
  37. 37.Solve: 4(y − 1) = 3y + 6. What is y?
  38. 38.The sum of four consecutive whole numbers is 218. What is the smallest of them?
  39. 39.Solve: m/4 + m/5 = 72. What is m?
  40. 40.Solve: m/5 + m/6 = 88. What is m?

Answer key

  1. 2
  2. 9
  3. 42
  4. 8
  5. 17
  6. 8
  7. 30
  8. 48
  9. 1
  10. 6
  11. 120
  12. 13
  13. 30
  14. 11
  15. 6
  16. 52
  17. 6
  18. 14
  19. 18
  20. 4
  21. 36
  22. 3
  23. 13
  24. 14
  25. 60
  26. 10
  27. 8
  28. 210
  29. 8
  30. 60
  31. 12
  32. 31
  33. 9
  34. 3
  35. 60
  36. 15
  37. 10
  38. 53
  39. 160
  40. 240

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