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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 392 · 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: 5p + 2 = p + 26. What is p?
  2. 2.Solve: y/4 + y/3 = 42. What is y?
  3. 3.The sum of three consecutive whole numbers is 27. What is the largest of them?
  4. 4.The sum of two consecutive whole numbers is 63. What is the largest of them?
  5. 5.Solve: 5p + 4 = 2p + 16. What is p?
  6. 6.Solve: x/5 + x/4 = 63. What is x?
  7. 7.Solve: 4(m − 2) = 2m + 14. What is m?
  8. 8.Solve: 3(n − 4) = n + 4. What is n?
  9. 9.The length of a rectangle is 12 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  10. 10.Solve: 6p + 6 = 4p + 14. What is p?
  11. 11.The length of a rectangle is 12 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  12. 12.The length of a rectangle is 14 cm more than its width. Its perimeter is 144 cm. What is its width (in cm)?
  13. 13.The sum of two consecutive whole numbers is 111. What is the smallest of them?
  14. 14.Solve: p/5 + p/6 = 66. What is p?
  15. 15.The sum of four consecutive whole numbers is 234. What is the smallest of them?
  16. 16.Solve: 6(n − 1) = n + 34. What is n?
  17. 17.Solve: 9n + 20 = 4n + 75. What is n?
  18. 18.Solve: 3t + 2 = 2t + 17. What is t?
  19. 19.The length of a rectangle is 2 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  20. 20.The length of a rectangle is 13 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  21. 21.Solve: t/4 + t/3 = 35. What is t?
  22. 22.The length of a rectangle is 13 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  23. 23.Solve: t/6 + t/4 = 5. What is t?
  24. 24.Solve: 6(y − 5) = 5y + 3. What is y?
  25. 25.Solve: 7y + 1 = y + 37. What is y?
  26. 26.Solve: x/3 + x/2 = 30. What is x?
  27. 27.A father is 14 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  28. 28.Solve: 4(x − 3) = 2x + 18. What is x?
  29. 29.Solve: 3(n − 2) = n + 8. What is n?
  30. 30.Solve: 4(x − 5) = x + 19. What is x?
  31. 31.The length of a rectangle is 12 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  32. 32.Solve: 6x + 17 = 5x + 29. What is x?
  33. 33.Solve: x/5 + x/3 = 8. What is x?
  34. 34.The sum of four consecutive whole numbers is 46. What is the largest of them?
  35. 35.The length of a rectangle is 1 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  36. 36.Solve: p/5 + p/4 = 9. What is p?
  37. 37.The length of a rectangle is 12 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  38. 38.Solve: 4(y − 4) = 3y + 13. What is y?
  39. 39.Solve: 8p + 19 = 5p + 52. What is p?
  40. 40.A father is 18 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?

Answer key

  1. 6
  2. 72
  3. 10
  4. 32
  5. 4
  6. 140
  7. 11
  8. 8
  9. 12
  10. 4
  11. 7
  12. 29
  13. 55
  14. 180
  15. 57
  16. 8
  17. 11
  18. 15
  19. 10
  20. 24
  21. 60
  22. 21
  23. 12
  24. 33
  25. 6
  26. 36
  27. 2
  28. 15
  29. 7
  30. 13
  31. 5
  32. 12
  33. 15
  34. 13
  35. 15
  36. 20
  37. 24
  38. 29
  39. 11
  40. 6

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