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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 899 · 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 15 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  2. 2.Solve: 8m + 18 = m + 116. What is m?
  3. 3.Solve: x/3 + x/2 = 5. What is x?
  4. 4.Solve: t/5 + t/4 = 27. What is t?
  5. 5.Solve: 5p + 1 = p + 9. What is p?
  6. 6.Solve: 3t + 11 = 2t + 14. What is t?
  7. 7.Solve: 5n + 6 = 2n + 48. What is n?
  8. 8.The length of a rectangle is 9 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  9. 9.Solve: 3(m − 4) = m + 20. What is m?
  10. 10.A father is 18 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?
  11. 11.Solve: 9m + 2 = 7m + 32. What is m?
  12. 12.Solve: 9t + 1 = 4t + 16. What is t?
  13. 13.Solve: 9p + 20 = 3p + 38. What is p?
  14. 14.Solve: 3(n − 3) = n + 21. What is n?
  15. 15.Solve: 4x + 2 = x + 26. What is x?
  16. 16.A father is 15 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  17. 17.A father is 14 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  18. 18.The length of a rectangle is 3 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  19. 19.Solve: 6p + 18 = 5p + 30. What is p?
  20. 20.A father is 26 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  21. 21.Solve: y/6 + y/5 = 44. What is y?
  22. 22.Solve: x/4 + x/5 = 36. What is x?
  23. 23.A father is 10 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  24. 24.Solve: 6(p − 1) = 2p + 50. What is p?
  25. 25.The sum of three consecutive whole numbers is 75. What is the largest of them?
  26. 26.The length of a rectangle is 11 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  27. 27.Solve: 5y + 16 = 2y + 58. What is y?
  28. 28.Solve: 3m + 2 = 2m + 12. What is m?
  29. 29.Solve: 3(y − 2) = 2y + 4. What is y?
  30. 30.The sum of three consecutive whole numbers is 141. What is the largest of them?
  31. 31.Solve: 5m + 20 = 3m + 38. What is m?
  32. 32.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  33. 33.The length of a rectangle is 14 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  34. 34.The length of a rectangle is 6 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  35. 35.The sum of three consecutive whole numbers is 45. What is the largest of them?
  36. 36.Solve: 3(x − 5) = x + 1. What is x?
  37. 37.The length of a rectangle is 10 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
  38. 38.The length of a rectangle is 3 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  39. 39.The length of a rectangle is 8 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  40. 40.The sum of two consecutive whole numbers is 91. What is the largest of them?

Answer key

  1. 8
  2. 14
  3. 6
  4. 60
  5. 2
  6. 3
  7. 14
  8. 15
  9. 16
  10. 8
  11. 15
  12. 3
  13. 3
  14. 15
  15. 8
  16. 11
  17. 12
  18. 19
  19. 12
  20. 5
  21. 120
  22. 80
  23. 4
  24. 14
  25. 26
  26. 25
  27. 14
  28. 10
  29. 10
  30. 48
  31. 9
  32. 2
  33. 13
  34. 3
  35. 16
  36. 8
  37. 29
  38. 23
  39. 4
  40. 46

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