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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 954 · 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: m/3 + m/2 = 25. What is m?
  2. 2.A father is 24 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?
  3. 3.Solve: y/6 + y/4 = 15. What is y?
  4. 4.A father is 30 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?
  5. 5.The length of a rectangle is 10 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  6. 6.Solve: 6n + 6 = 3n + 18. What is n?
  7. 7.The sum of four consecutive whole numbers is 218. What is the smallest of them?
  8. 8.Solve: x/5 + x/2 = 42. What is x?
  9. 9.Solve: 6(t − 1) = t + 29. What is t?
  10. 10.Solve: 6(t − 1) = 5t + 11. What is t?
  11. 11.Solve: t/2 + t/6 = 12. What is t?
  12. 12.Solve: 7m + 5 = 5m + 35. What is m?
  13. 13.Solve: 8m + 5 = 2m + 95. What is m?
  14. 14.A father is 30 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  15. 15.Solve: 5(y − 4) = y + 40. What is y?
  16. 16.Solve: 4(m − 2) = 3m + 11. What is m?
  17. 17.The length of a rectangle is 6 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  18. 18.The sum of four consecutive whole numbers is 58. What is the smallest of them?
  19. 19.Solve: x/3 + x/2 = 20. What is x?
  20. 20.The sum of four consecutive whole numbers is 166. What is the smallest of them?
  21. 21.The sum of three consecutive whole numbers is 27. What is the smallest of them?
  22. 22.Solve: 5m + 3 = 3m + 5. What is m?
  23. 23.Solve: n/4 + n/6 = 10. What is n?
  24. 24.Solve: 5(n − 5) = 3n + 25. What is n?
  25. 25.The sum of two consecutive whole numbers is 69. What is the smallest of them?
  26. 26.The length of a rectangle is 13 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  27. 27.Solve: 7x + 16 = 3x + 32. What is x?
  28. 28.A father is 20 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  29. 29.The length of a rectangle is 8 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  30. 30.The length of a rectangle is 3 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  31. 31.The length of a rectangle is 12 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  32. 32.Solve: 3x + 9 = x + 17. What is x?
  33. 33.Solve: t/5 + t/2 = 14. What is t?
  34. 34.The length of a rectangle is 13 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  35. 35.Solve: 9x + 14 = 6x + 47. What is x?
  36. 36.Solve: 7n + 19 = 5n + 43. What is n?
  37. 37.Solve: 5n + 19 = 4n + 25. What is n?
  38. 38.A father is 24 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  39. 39.Solve: t/5 + t/6 = 77. What is t?
  40. 40.The length of a rectangle is 9 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?

Answer key

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

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