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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 106 · 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 26 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?
  2. 2.The sum of three consecutive whole numbers is 147. What is the smallest of them?
  3. 3.The sum of four consecutive whole numbers is 166. What is the largest of them?
  4. 4.Solve: x/4 + x/2 = 21. What is x?
  5. 5.Solve: 6m + 4 = 2m + 8. What is m?
  6. 6.Solve: 4(t − 4) = t + 14. What is t?
  7. 7.Solve: m/3 + m/5 = 8. What is m?
  8. 8.Solve: p/3 + p/6 = 6. What is p?
  9. 9.Solve: 3n + 18 = 2n + 23. What is n?
  10. 10.A father is 24 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?
  11. 11.The length of a rectangle is 10 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  12. 12.The sum of four consecutive whole numbers is 218. What is the smallest of them?
  13. 13.The sum of three consecutive whole numbers is 96. What is the largest of them?
  14. 14.The sum of two consecutive whole numbers is 27. What is the smallest of them?
  15. 15.The sum of two consecutive whole numbers is 113. What is the smallest of them?
  16. 16.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  17. 17.Solve: 3(x − 2) = x + 12. What is x?
  18. 18.Solve: 5x + 4 = 2x + 7. What is x?
  19. 19.Solve: 5(t − 3) = 2t + 30. What is t?
  20. 20.Solve: 3(m − 2) = m + 4. What is m?
  21. 21.Solve: 6n + 8 = 3n + 53. What is n?
  22. 22.Solve: 4(x − 4) = 2x + 4. What is x?
  23. 23.Solve: n/5 + n/6 = 33. What is n?
  24. 24.Solve: 3m + 6 = 2m + 14. What is m?
  25. 25.The sum of four consecutive whole numbers is 78. What is the smallest of them?
  26. 26.Solve: n/4 + n/5 = 27. What is n?
  27. 27.Solve: 8t + 20 = 6t + 26. What is t?
  28. 28.Solve: p/4 + p/5 = 72. What is p?
  29. 29.The sum of two consecutive whole numbers is 103. What is the largest of them?
  30. 30.Solve: x/6 + x/5 = 77. What is x?
  31. 31.Solve: 6x + 7 = 5x + 9. What is x?
  32. 32.The sum of two consecutive whole numbers is 99. What is the smallest of them?
  33. 33.The length of a rectangle is 2 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  34. 34.Solve: 8y + 10 = 3y + 80. What is y?
  35. 35.The length of a rectangle is 7 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  36. 36.Solve: 4y + 15 = 3y + 23. What is y?
  37. 37.The sum of three consecutive whole numbers is 141. What is the smallest of them?
  38. 38.Solve: 6(t − 4) = 2t + 24. What is t?
  39. 39.Solve: x/4 + x/6 = 40. What is x?
  40. 40.Solve: 5t + 11 = 2t + 50. What is t?

Answer key

  1. 11
  2. 48
  3. 43
  4. 28
  5. 1
  6. 10
  7. 15
  8. 12
  9. 5
  10. 6
  11. 8
  12. 53
  13. 33
  14. 13
  15. 56
  16. 7
  17. 9
  18. 1
  19. 15
  20. 5
  21. 15
  22. 10
  23. 90
  24. 8
  25. 18
  26. 60
  27. 3
  28. 160
  29. 52
  30. 210
  31. 2
  32. 49
  33. 8
  34. 14
  35. 10
  36. 8
  37. 46
  38. 12
  39. 96
  40. 13

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