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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 229 · 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.Solve: 9t + 20 = 2t + 62. What is t?
  2. 2.Solve: 7p + 11 = 4p + 38. What is p?
  3. 3.Solve: 3(p − 5) = 2p + 3. What is p?
  4. 4.A father is 20 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  5. 5.Solve: m/5 + m/2 = 56. What is m?
  6. 6.Solve: x/4 + x/3 = 56. What is x?
  7. 7.The sum of four consecutive whole numbers is 202. What is the largest of them?
  8. 8.Solve: 4x + 14 = x + 59. What is x?
  9. 9.Solve: m/3 + m/4 = 7. What is m?
  10. 10.A father is 16 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?
  11. 11.The sum of four consecutive whole numbers is 86. What is the smallest of them?
  12. 12.Solve: 5(n − 1) = n + 19. What is n?
  13. 13.A father is 27 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?
  14. 14.Solve: 6x + 5 = x + 15. What is x?
  15. 15.Solve: p/4 + p/5 = 27. What is p?
  16. 16.The sum of three consecutive whole numbers is 105. What is the largest of them?
  17. 17.The sum of two consecutive whole numbers is 103. What is the largest of them?
  18. 18.Solve: 3x + 1 = x + 25. What is x?
  19. 19.The length of a rectangle is 4 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  20. 20.Solve: 4(t − 4) = 3t + 7. What is t?
  21. 21.Solve: x/4 + x/2 = 12. What is x?
  22. 22.Solve: n/2 + n/4 = 6. What is n?
  23. 23.Solve: 9m + 4 = 2m + 88. What is m?
  24. 24.The sum of four consecutive whole numbers is 46. What is the largest of them?
  25. 25.Solve: 6(x − 4) = 4x + 10. What is x?
  26. 26.Solve: 5(x − 2) = 3x + 26. What is x?
  27. 27.The length of a rectangle is 2 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  28. 28.Solve: x/4 + x/5 = 63. What is x?
  29. 29.Solve: 6(y − 2) = 4y + 24. What is y?
  30. 30.Solve: m/3 + m/4 = 21. What is m?
  31. 31.Solve: 3(m − 2) = 2m + 5. What is m?
  32. 32.A father is 33 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  33. 33.Solve: 3(m − 3) = m + 9. What is m?
  34. 34.Solve: 3(x − 2) = 2x + 5. What is x?
  35. 35.Solve: p/5 + p/3 = 32. What is p?
  36. 36.Solve: n/6 + n/3 = 24. What is n?
  37. 37.The sum of four consecutive whole numbers is 70. What is the smallest of them?
  38. 38.Solve: 5t + 3 = 2t + 30. What is t?
  39. 39.Solve: x/4 + x/2 = 6. What is x?
  40. 40.The sum of four consecutive whole numbers is 90. What is the smallest of them?

Answer key

  1. 6
  2. 9
  3. 18
  4. 7
  5. 80
  6. 96
  7. 52
  8. 15
  9. 12
  10. 2
  11. 20
  12. 6
  13. 8
  14. 2
  15. 60
  16. 36
  17. 52
  18. 12
  19. 11
  20. 23
  21. 16
  22. 8
  23. 12
  24. 13
  25. 17
  26. 18
  27. 7
  28. 140
  29. 18
  30. 36
  31. 11
  32. 3
  33. 9
  34. 11
  35. 60
  36. 48
  37. 16
  38. 9
  39. 8
  40. 21

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