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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 854 · 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 four consecutive whole numbers is 42. What is the smallest of them?
  2. 2.The length of a rectangle is 9 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  3. 3.Solve: 6p + 11 = p + 76. What is p?
  4. 4.The length of a rectangle is 7 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  5. 5.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?
  6. 6.Solve: 3(n − 3) = n + 23. What is n?
  7. 7.Solve: 5p + 3 = 2p + 42. What is p?
  8. 8.A father is 12 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  9. 9.Solve: y/5 + y/6 = 11. What is y?
  10. 10.Solve: 4m + 5 = m + 32. What is m?
  11. 11.Solve: y/2 + y/3 = 10. What is y?
  12. 12.Solve: 4y + 6 = y + 18. What is y?
  13. 13.Solve: 4(p − 3) = 2p + 8. What is p?
  14. 14.The length of a rectangle is 7 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  15. 15.The length of a rectangle is 11 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  16. 16.Solve: 4(p − 4) = 2p + 18. What is p?
  17. 17.The sum of four consecutive whole numbers is 86. What is the smallest of them?
  18. 18.The length of a rectangle is 15 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  19. 19.The length of a rectangle is 8 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  20. 20.A father is 45 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?
  21. 21.Solve: 3(x − 2) = 2x + 6. What is x?
  22. 22.The sum of three consecutive whole numbers is 36. What is the smallest of them?
  23. 23.The sum of three consecutive whole numbers is 48. What is the smallest of them?
  24. 24.Solve: 3(y − 3) = y + 19. What is y?
  25. 25.Solve: 7y + 13 = y + 43. What is y?
  26. 26.Solve: m/3 + m/4 = 56. What is m?
  27. 27.The length of a rectangle is 11 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  28. 28.A father is 39 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?
  29. 29.Solve: n/5 + n/3 = 40. What is n?
  30. 30.The sum of four consecutive whole numbers is 222. What is the smallest of them?
  31. 31.Solve: n/6 + n/5 = 77. What is n?
  32. 32.Solve: 6(n − 1) = 2n + 14. What is n?
  33. 33.Solve: y/5 + y/2 = 42. What is y?
  34. 34.Solve: 6(p − 2) = 3p + 24. What is p?
  35. 35.A father is 13 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  36. 36.Solve: x/5 + x/3 = 64. What is x?
  37. 37.Solve: x/5 + x/3 = 32. What is x?
  38. 38.Solve: y/3 + y/4 = 56. What is y?
  39. 39.Solve: 4(p − 2) = p + 7. What is p?
  40. 40.The length of a rectangle is 4 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?

Answer key

  1. 9
  2. 28
  3. 13
  4. 18
  5. 12
  6. 16
  7. 13
  8. 10
  9. 30
  10. 9
  11. 12
  12. 4
  13. 10
  14. 7
  15. 10
  16. 17
  17. 20
  18. 11
  19. 16
  20. 8
  21. 12
  22. 11
  23. 15
  24. 14
  25. 5
  26. 96
  27. 25
  28. 5
  29. 75
  30. 54
  31. 210
  32. 5
  33. 60
  34. 12
  35. 11
  36. 120
  37. 60
  38. 96
  39. 5
  40. 2

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