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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 555 · 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 9 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?
  2. 2.Solve: p/4 + p/6 = 5. What is p?
  3. 3.Solve: 3(x − 1) = 2x + 1. What is x?
  4. 4.A father is 24 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?
  5. 5.The length of a rectangle is 1 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  6. 6.Solve: 5n + 7 = 3n + 21. What is n?
  7. 7.Solve: p/3 + p/5 = 48. What is p?
  8. 8.A father is 27 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  9. 9.The length of a rectangle is 2 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  10. 10.Solve: 6p + 1 = p + 71. What is p?
  11. 11.The length of a rectangle is 11 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  12. 12.Solve: 5(t − 2) = 4t + 1. What is t?
  13. 13.The length of a rectangle is 2 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  14. 14.The sum of four consecutive whole numbers is 122. What is the largest of them?
  15. 15.Solve: 3(n − 1) = n + 9. What is n?
  16. 16.The sum of two consecutive whole numbers is 75. What is the largest of them?
  17. 17.Solve: 6x + 6 = 5x + 10. What is x?
  18. 18.Solve: 4(m − 5) = 2m + 4. What is m?
  19. 19.The length of a rectangle is 11 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  20. 20.Solve: 3x + 12 = x + 32. What is x?
  21. 21.Solve: 9y + 12 = 6y + 57. What is y?
  22. 22.The sum of three consecutive whole numbers is 132. What is the largest of them?
  23. 23.Solve: 3t + 20 = 2t + 27. What is t?
  24. 24.A father is 36 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  25. 25.The sum of four consecutive whole numbers is 30. What is the largest of them?
  26. 26.The sum of four consecutive whole numbers is 26. What is the largest of them?
  27. 27.The sum of three consecutive whole numbers is 168. What is the smallest of them?
  28. 28.The sum of three consecutive whole numbers is 78. What is the largest of them?
  29. 29.Solve: 6(t − 1) = 5t + 7. What is t?
  30. 30.The length of a rectangle is 15 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  31. 31.The sum of three consecutive whole numbers is 21. What is the smallest of them?
  32. 32.Solve: 4t + 8 = 3t + 18. What is t?
  33. 33.Solve: 6x + 10 = x + 65. What is x?
  34. 34.Solve: 3y + 12 = 2y + 14. What is y?
  35. 35.Solve: p/2 + p/3 = 40. What is p?
  36. 36.The sum of four consecutive whole numbers is 70. What is the largest of them?
  37. 37.Solve: 5x + 6 = 3x + 14. What is x?
  38. 38.A father is 36 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  39. 39.Solve: 3(n − 5) = n + 23. What is n?
  40. 40.Solve: 6m + 7 = 5m + 9. What is m?

Answer key

  1. 2
  2. 12
  3. 4
  4. 11
  5. 16
  6. 7
  7. 90
  8. 6
  9. 19
  10. 14
  11. 2
  12. 11
  13. 16
  14. 32
  15. 6
  16. 38
  17. 4
  18. 12
  19. 3
  20. 10
  21. 15
  22. 45
  23. 7
  24. 11
  25. 9
  26. 8
  27. 55
  28. 27
  29. 13
  30. 9
  31. 6
  32. 10
  33. 11
  34. 2
  35. 48
  36. 19
  37. 4
  38. 9
  39. 19
  40. 2

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