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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 996 · 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 158. What is the largest of them?
  2. 2.A father is 13 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  3. 3.Solve: 4y + 5 = 3y + 6. What is y?
  4. 4.The sum of four consecutive whole numbers is 186. What is the smallest of them?
  5. 5.Solve: n/4 + n/6 = 15. What is n?
  6. 6.Solve: 4(x − 3) = 2x + 14. What is x?
  7. 7.Solve: 6(m − 1) = m + 14. What is m?
  8. 8.Solve: p/2 + p/5 = 35. What is p?
  9. 9.Solve: x/2 + x/5 = 56. What is x?
  10. 10.The length of a rectangle is 1 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  11. 11.Solve: 5n + 20 = 3n + 50. What is n?
  12. 12.The sum of two consecutive whole numbers is 69. What is the largest of them?
  13. 13.Solve: t/2 + t/3 = 5. What is t?
  14. 14.The length of a rectangle is 13 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  15. 15.Solve: 6t + 6 = t + 41. What is t?
  16. 16.Solve: 8p + 12 = p + 61. What is p?
  17. 17.Solve: y/6 + y/2 = 12. What is y?
  18. 18.The sum of four consecutive whole numbers is 90. What is the smallest of them?
  19. 19.Solve: 6(y − 1) = 5y + 6. What is y?
  20. 20.The sum of two consecutive whole numbers is 19. What is the largest of them?
  21. 21.The length of a rectangle is 1 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  22. 22.Solve: 8x + 12 = 2x + 36. What is x?
  23. 23.Solve: 7x + 19 = 4x + 40. What is x?
  24. 24.Solve: y/5 + y/2 = 7. What is y?
  25. 25.Solve: 3t + 13 = 2t + 18. What is t?
  26. 26.A father is 51 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  27. 27.The sum of two consecutive whole numbers is 59. What is the largest of them?
  28. 28.Solve: 4p + 2 = 3p + 4. What is p?
  29. 29.The length of a rectangle is 6 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  30. 30.A father is 10 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  31. 31.The sum of two consecutive whole numbers is 77. What is the largest of them?
  32. 32.Solve: 5(y − 3) = y + 33. What is y?
  33. 33.Solve: 7y + 6 = 4y + 36. What is y?
  34. 34.A father is 12 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  35. 35.Solve: 6(t − 5) = t + 65. What is t?
  36. 36.The length of a rectangle is 2 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  37. 37.Solve: 3y + 9 = 2y + 10. What is y?
  38. 38.Solve: 4(p − 5) = 3p + 3. What is p?
  39. 39.Solve: 8x + 1 = 3x + 41. What is x?
  40. 40.The sum of four consecutive whole numbers is 210. What is the largest of them?

Answer key

  1. 41
  2. 8
  3. 1
  4. 45
  5. 36
  6. 13
  7. 4
  8. 50
  9. 80
  10. 8
  11. 15
  12. 35
  13. 6
  14. 7
  15. 7
  16. 7
  17. 18
  18. 21
  19. 12
  20. 10
  21. 6
  22. 4
  23. 7
  24. 10
  25. 5
  26. 11
  27. 30
  28. 2
  29. 2
  30. 9
  31. 39
  32. 12
  33. 10
  34. 11
  35. 19
  36. 21
  37. 1
  38. 23
  39. 8
  40. 54

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