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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 970 · 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: p/2 + p/4 = 24. What is p?
  2. 2.The length of a rectangle is 14 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  3. 3.Solve: 9y + 15 = 7y + 17. What is y?
  4. 4.The sum of four consecutive whole numbers is 190. What is the largest of them?
  5. 5.Solve: p/6 + p/5 = 66. What is p?
  6. 6.Solve: 5(n − 3) = 2n + 33. What is n?
  7. 7.Solve: y/4 + y/2 = 9. What is y?
  8. 8.Solve: 8n + 20 = 4n + 76. What is n?
  9. 9.Solve: t/3 + t/2 = 40. What is t?
  10. 10.The length of a rectangle is 11 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  11. 11.Solve: 6(p − 1) = 3p + 9. What is p?
  12. 12.Solve: y/5 + y/6 = 66. What is y?
  13. 13.Solve: p/6 + p/5 = 55. What is p?
  14. 14.The length of a rectangle is 9 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  15. 15.The sum of three consecutive whole numbers is 117. What is the largest of them?
  16. 16.Solve: 3(x − 5) = x + 25. What is x?
  17. 17.Solve: p/2 + p/6 = 4. What is p?
  18. 18.The sum of four consecutive whole numbers is 38. What is the smallest of them?
  19. 19.The sum of three consecutive whole numbers is 57. What is the largest of them?
  20. 20.Solve: m/6 + m/4 = 35. What is m?
  21. 21.Solve: x/5 + x/6 = 11. What is x?
  22. 22.Solve: n/3 + n/2 = 5. What is n?
  23. 23.A father is 18 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  24. 24.The sum of two consecutive whole numbers is 79. What is the largest of them?
  25. 25.Solve: y/6 + y/2 = 4. What is y?
  26. 26.Solve: 6(x − 4) = 3x + 39. What is x?
  27. 27.The sum of four consecutive whole numbers is 178. What is the smallest of them?
  28. 28.The length of a rectangle is 2 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  29. 29.Solve: 9m + 12 = 4m + 72. What is m?
  30. 30.Solve: 6(p − 2) = p + 48. What is p?
  31. 31.Solve: 3t + 15 = 2t + 18. What is t?
  32. 32.The sum of two consecutive whole numbers is 117. What is the largest of them?
  33. 33.Solve: 4x + 20 = x + 53. What is x?
  34. 34.Solve: 6(m − 5) = 3m + 39. What is m?
  35. 35.Solve: 3(n − 1) = n + 13. What is n?
  36. 36.Solve: 5x + 16 = x + 44. What is x?
  37. 37.Solve: n/2 + n/5 = 35. What is n?
  38. 38.Solve: m/5 + m/2 = 7. What is m?
  39. 39.The length of a rectangle is 3 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  40. 40.Solve: 6t + 4 = 3t + 37. What is t?

Answer key

  1. 32
  2. 5
  3. 1
  4. 49
  5. 180
  6. 16
  7. 12
  8. 14
  9. 48
  10. 26
  11. 5
  12. 180
  13. 150
  14. 20
  15. 40
  16. 20
  17. 6
  18. 8
  19. 20
  20. 84
  21. 30
  22. 6
  23. 11
  24. 40
  25. 6
  26. 21
  27. 43
  28. 5
  29. 12
  30. 12
  31. 3
  32. 59
  33. 11
  34. 23
  35. 8
  36. 7
  37. 50
  38. 10
  39. 16
  40. 11

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