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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 167 · 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 130. What is the largest of them?
  2. 2.A father is 38 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  3. 3.Solve: n/6 + n/5 = 77. What is n?
  4. 4.Solve: 4(x − 5) = 2x + 26. What is x?
  5. 5.Solve: 6x + 19 = 2x + 47. What is x?
  6. 6.The length of a rectangle is 6 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  7. 7.Solve: 4y + 8 = 2y + 28. What is y?
  8. 8.Solve: 3(n − 4) = n + 2. What is n?
  9. 9.Solve: 5(y − 3) = 4y + 11. What is y?
  10. 10.The sum of three consecutive whole numbers is 78. What is the largest of them?
  11. 11.Solve: 6p + 17 = 5p + 32. What is p?
  12. 12.The length of a rectangle is 8 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  13. 13.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  14. 14.Solve: 4(m − 1) = m + 38. What is m?
  15. 15.Solve: 7t + 2 = 3t + 18. What is t?
  16. 16.The sum of three consecutive whole numbers is 51. What is the smallest of them?
  17. 17.The sum of two consecutive whole numbers is 27. What is the smallest of them?
  18. 18.The sum of four consecutive whole numbers is 74. What is the smallest of them?
  19. 19.A father is 20 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?
  20. 20.The sum of four consecutive whole numbers is 190. What is the largest of them?
  21. 21.Solve: y/2 + y/4 = 21. What is y?
  22. 22.Solve: n/2 + n/3 = 5. What is n?
  23. 23.The length of a rectangle is 4 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  24. 24.A father is 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  25. 25.The sum of four consecutive whole numbers is 222. What is the largest of them?
  26. 26.Solve: 5(p − 1) = p + 19. What is p?
  27. 27.Solve: m/3 + m/5 = 32. What is m?
  28. 28.The sum of four consecutive whole numbers is 50. What is the largest of them?
  29. 29.Solve: m/4 + m/5 = 72. What is m?
  30. 30.Solve: 4(n − 3) = n + 39. What is n?
  31. 31.The sum of three consecutive whole numbers is 57. What is the smallest of them?
  32. 32.The length of a rectangle is 10 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  33. 33.A father is 24 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  34. 34.The sum of three consecutive whole numbers is 66. What is the smallest of them?
  35. 35.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  36. 36.Solve: 3(t − 4) = 2t + 3. What is t?
  37. 37.Solve: 4(m − 1) = 3m + 9. What is m?
  38. 38.Solve: 3p + 15 = p + 41. What is p?
  39. 39.Solve: 9n + 18 = 4n + 88. What is n?
  40. 40.Solve: 4(n − 3) = 3n + 9. What is n?

Answer key

  1. 34
  2. 11
  3. 210
  4. 23
  5. 7
  6. 10
  7. 10
  8. 7
  9. 26
  10. 27
  11. 15
  12. 23
  13. 3
  14. 14
  15. 4
  16. 16
  17. 13
  18. 17
  19. 8
  20. 49
  21. 28
  22. 6
  23. 15
  24. 3
  25. 57
  26. 6
  27. 60
  28. 14
  29. 160
  30. 17
  31. 18
  32. 3
  33. 8
  34. 21
  35. 2
  36. 15
  37. 13
  38. 13
  39. 14
  40. 21

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