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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 635 · 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: t/5 + t/3 = 24. What is t?
  2. 2.Solve: 8n + 19 = 4n + 63. What is n?
  3. 3.Solve: m/3 + m/2 = 5. What is m?
  4. 4.Solve: 3(y − 1) = y + 19. What is y?
  5. 5.Solve: t/6 + t/3 = 3. What is t?
  6. 6.The sum of four consecutive whole numbers is 82. What is the largest of them?
  7. 7.Solve: 7p + 5 = 6p + 17. What is p?
  8. 8.Solve: 7y + 11 = 4y + 35. What is y?
  9. 9.The sum of two consecutive whole numbers is 57. What is the smallest of them?
  10. 10.Solve: 3x + 12 = 2x + 23. What is x?
  11. 11.A father is 28 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?
  12. 12.Solve: 9x + 19 = 6x + 37. What is x?
  13. 13.Solve: p/5 + p/6 = 22. What is p?
  14. 14.Solve: 9t + 16 = t + 104. What is t?
  15. 15.The sum of four consecutive whole numbers is 162. What is the largest of them?
  16. 16.Solve: 4(x − 3) = x + 3. What is x?
  17. 17.Solve: 8x + 3 = x + 24. What is x?
  18. 18.The length of a rectangle is 11 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  19. 19.Solve: 7x + 5 = 6x + 9. What is x?
  20. 20.A father is 12 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?
  21. 21.A father is 6 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?
  22. 22.Solve: 9y + 18 = 7y + 20. What is y?
  23. 23.Solve: 7y + 3 = y + 81. What is y?
  24. 24.Solve: 6p + 15 = 4p + 41. What is p?
  25. 25.A father is 12 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?
  26. 26.The length of a rectangle is 8 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  27. 27.Solve: 5(t − 5) = 2t + 23. What is t?
  28. 28.Solve: 5(x − 3) = 2x + 18. What is x?
  29. 29.The sum of four consecutive whole numbers is 98. What is the largest of them?
  30. 30.The sum of two consecutive whole numbers is 89. What is the smallest of them?
  31. 31.The length of a rectangle is 1 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  32. 32.Solve: m/3 + m/4 = 42. What is m?
  33. 33.The length of a rectangle is 4 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  34. 34.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
  35. 35.The length of a rectangle is 3 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  36. 36.The sum of four consecutive whole numbers is 166. What is the largest of them?
  37. 37.The sum of two consecutive whole numbers is 75. What is the largest of them?
  38. 38.Solve: 6m + 5 = 5m + 13. What is m?
  39. 39.Solve: n/6 + n/4 = 15. What is n?
  40. 40.The length of a rectangle is 7 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?

Answer key

  1. 45
  2. 11
  3. 6
  4. 11
  5. 6
  6. 22
  7. 12
  8. 8
  9. 28
  10. 11
  11. 12
  12. 6
  13. 60
  14. 11
  15. 42
  16. 5
  17. 3
  18. 19
  19. 4
  20. 5
  21. 2
  22. 1
  23. 13
  24. 13
  25. 4
  26. 21
  27. 16
  28. 11
  29. 26
  30. 44
  31. 15
  32. 72
  33. 4
  34. 3
  35. 16
  36. 43
  37. 38
  38. 8
  39. 36
  40. 14

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