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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 103 · 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.A father is 22 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  2. 2.Solve: 8t + 10 = t + 17. What is t?
  3. 3.The sum of two consecutive whole numbers is 51. What is the largest of them?
  4. 4.Solve: y/3 + y/2 = 15. What is y?
  5. 5.Solve: x/3 + x/2 = 5. What is x?
  6. 6.Solve: 3n + 4 = n + 18. What is n?
  7. 7.A father is 12 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?
  8. 8.Solve: 9n + 9 = 3n + 75. What is n?
  9. 9.The length of a rectangle is 14 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  10. 10.Solve: 4m + 7 = m + 10. What is m?
  11. 11.Solve: 4(p − 3) = p + 18. What is p?
  12. 12.Solve: 6x + 4 = x + 64. What is x?
  13. 13.Solve: 5p + 6 = 2p + 18. What is p?
  14. 14.Solve: t/2 + t/4 = 6. What is t?
  15. 15.Solve: y/3 + y/5 = 24. What is y?
  16. 16.The length of a rectangle is 7 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  17. 17.A father is 12 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  18. 18.Solve: 6(x − 2) = x + 23. What is x?
  19. 19.A father is 6 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  20. 20.Solve: 3(x − 1) = x + 5. What is x?
  21. 21.Solve: 5p + 14 = 4p + 17. What is p?
  22. 22.A father is 19 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  23. 23.Solve: 8m + 16 = 2m + 40. What is m?
  24. 24.The length of a rectangle is 6 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  25. 25.A father is 36 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?
  26. 26.Solve: 4m + 17 = m + 20. What is m?
  27. 27.Solve: 7p + 20 = 6p + 23. What is p?
  28. 28.The sum of three consecutive whole numbers is 27. What is the smallest of them?
  29. 29.Solve: 3(t − 4) = t + 20. What is t?
  30. 30.Solve: 7m + 8 = 2m + 73. What is m?
  31. 31.Solve: 5(n − 2) = 2n + 5. What is n?
  32. 32.Solve: 8x + 3 = 4x + 59. What is x?
  33. 33.Solve: 5(y − 2) = 2y + 8. What is y?
  34. 34.Solve: 5(n − 1) = 3n + 7. What is n?
  35. 35.Solve: y/2 + y/6 = 8. What is y?
  36. 36.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  37. 37.Solve: 5(m − 2) = 2m + 38. What is m?
  38. 38.The sum of two consecutive whole numbers is 11. What is the largest of them?
  39. 39.Solve: 6(t − 4) = t + 61. What is t?
  40. 40.Solve: 5(p − 4) = 2p + 16. What is p?

Answer key

  1. 9
  2. 1
  3. 26
  4. 18
  5. 6
  6. 7
  7. 3
  8. 11
  9. 10
  10. 1
  11. 10
  12. 12
  13. 4
  14. 8
  15. 45
  16. 19
  17. 8
  18. 7
  19. 5
  20. 4
  21. 3
  22. 12
  23. 4
  24. 22
  25. 7
  26. 1
  27. 3
  28. 8
  29. 16
  30. 13
  31. 5
  32. 14
  33. 6
  34. 6
  35. 12
  36. 4
  37. 16
  38. 6
  39. 17
  40. 12

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