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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 365 · 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 16 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.Solve: 3(n − 3) = n + 23. What is n?
  3. 3.The length of a rectangle is 14 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  4. 4.The length of a rectangle is 11 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  5. 5.The sum of three consecutive whole numbers is 180. What is the smallest of them?
  6. 6.The sum of three consecutive whole numbers is 72. What is the smallest of them?
  7. 7.Solve: y/5 + y/6 = 33. What is y?
  8. 8.A father is 42 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  9. 9.The sum of two consecutive whole numbers is 19. What is the smallest of them?
  10. 10.The sum of two consecutive whole numbers is 17. What is the largest of them?
  11. 11.Solve: 6(n − 3) = n + 2. What is n?
  12. 12.Solve: 7t + 11 = t + 59. What is t?
  13. 13.Solve: 3p + 2 = p + 14. What is p?
  14. 14.A father is 30 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  15. 15.Solve: 4(m − 1) = 2m + 24. What is m?
  16. 16.Solve: m/5 + m/4 = 36. What is m?
  17. 17.Solve: y/3 + y/2 = 25. What is y?
  18. 18.The length of a rectangle is 15 cm more than its width. Its perimeter is 150 cm. What is its width (in cm)?
  19. 19.Solve: 6p + 12 = 2p + 64. What is p?
  20. 20.Solve: t/5 + t/4 = 45. What is t?
  21. 21.Solve: 4m + 1 = 3m + 4. What is m?
  22. 22.The sum of four consecutive whole numbers is 130. What is the largest of them?
  23. 23.Solve: x/6 + x/5 = 11. What is x?
  24. 24.The sum of four consecutive whole numbers is 26. What is the smallest of them?
  25. 25.Solve: n/4 + n/5 = 63. What is n?
  26. 26.The length of a rectangle is 10 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  27. 27.A father is 22 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?
  28. 28.The length of a rectangle is 13 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  29. 29.Solve: 4(t − 1) = 2t + 14. What is t?
  30. 30.A father is 20 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  31. 31.Solve: 6y + 6 = 2y + 10. What is y?
  32. 32.A father is 18 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?
  33. 33.Solve: t/3 + t/6 = 21. What is t?
  34. 34.Solve: 3(x − 5) = 2x + 5. What is x?
  35. 35.Solve: 5x + 16 = 3x + 18. What is x?
  36. 36.The sum of two consecutive whole numbers is 39. What is the largest of them?
  37. 37.Solve: y/4 + y/2 = 9. What is y?
  38. 38.Solve: x/3 + x/2 = 25. What is x?
  39. 39.The length of a rectangle is 13 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  40. 40.Solve: 3(x − 5) = x + 11. What is x?

Answer key

  1. 8
  2. 16
  3. 9
  4. 7
  5. 59
  6. 23
  7. 90
  8. 7
  9. 9
  10. 9
  11. 4
  12. 8
  13. 6
  14. 3
  15. 14
  16. 80
  17. 30
  18. 30
  19. 13
  20. 100
  21. 3
  22. 34
  23. 30
  24. 5
  25. 140
  26. 23
  27. 7
  28. 25
  29. 9
  30. 4
  31. 1
  32. 4
  33. 42
  34. 20
  35. 1
  36. 20
  37. 12
  38. 30
  39. 12
  40. 13

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