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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 193 · 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.A father is 20 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  2. 2.A father is 12 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  3. 3.Solve: x/2 + x/5 = 7. What is x?
  4. 4.The sum of four consecutive whole numbers is 146. What is the largest of them?
  5. 5.The sum of two consecutive whole numbers is 85. What is the largest of them?
  6. 6.The length of a rectangle is 8 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
  7. 7.Solve: x/4 + x/2 = 3. What is x?
  8. 8.Solve: 6n + 19 = 3n + 43. What is n?
  9. 9.A father is 27 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?
  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: 9y + 12 = 5y + 28. What is y?
  12. 12.The sum of four consecutive whole numbers is 166. What is the largest of them?
  13. 13.A father is 30 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?
  14. 14.Solve: 9p + 11 = 6p + 53. What is p?
  15. 15.Solve: y/6 + y/3 = 21. What is y?
  16. 16.Solve: 9y + 10 = 4y + 80. What is y?
  17. 17.Solve: 9y + 3 = 6y + 30. What is y?
  18. 18.A father is 16 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  19. 19.The length of a rectangle is 1 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  20. 20.Solve: p/3 + p/6 = 15. What is p?
  21. 21.The sum of two consecutive whole numbers is 61. What is the largest of them?
  22. 22.Solve: p/4 + p/3 = 7. What is p?
  23. 23.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  24. 24.A father is 26 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?
  25. 25.Solve: 6(x − 1) = x + 44. What is x?
  26. 26.The length of a rectangle is 5 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  27. 27.The length of a rectangle is 4 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  28. 28.Solve: 4(m − 4) = 3m + 12. What is m?
  29. 29.Solve: 9y + 13 = 2y + 83. What is y?
  30. 30.A father is 18 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?
  31. 31.Solve: 8n + 6 = 7n + 8. What is n?
  32. 32.The sum of two consecutive whole numbers is 53. What is the largest of them?
  33. 33.The sum of three consecutive whole numbers is 75. What is the smallest of them?
  34. 34.A father is 18 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  35. 35.The length of a rectangle is 8 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  36. 36.Solve: 3y + 6 = 2y + 7. What is y?
  37. 37.Solve: m/5 + m/6 = 77. What is m?
  38. 38.Solve: 5(t − 1) = t + 15. What is t?
  39. 39.A father is 30 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  40. 40.The sum of three consecutive whole numbers is 45. What is the largest of them?

Answer key

  1. 12
  2. 2
  3. 10
  4. 38
  5. 43
  6. 30
  7. 4
  8. 8
  9. 3
  10. 8
  11. 4
  12. 43
  13. 11
  14. 14
  15. 42
  16. 14
  17. 9
  18. 12
  19. 7
  20. 30
  21. 31
  22. 12
  23. 3
  24. 12
  25. 10
  26. 22
  27. 9
  28. 28
  29. 10
  30. 4
  31. 2
  32. 27
  33. 24
  34. 5
  35. 11
  36. 1
  37. 210
  38. 5
  39. 8
  40. 16

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