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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 376 · 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: 5p + 4 = 4p + 14. What is p?
  2. 2.The sum of four consecutive whole numbers is 50. What is the smallest of them?
  3. 3.Solve: 3(x − 3) = x + 15. What is x?
  4. 4.Solve: 4(y − 1) = y + 20. What is y?
  5. 5.Solve: 3(t − 4) = t + 14. What is t?
  6. 6.Solve: 4m + 20 = m + 47. What is m?
  7. 7.The sum of two consecutive whole numbers is 39. What is the largest of them?
  8. 8.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?
  9. 9.The sum of four consecutive whole numbers is 58. What is the smallest of them?
  10. 10.Solve: 9m + 6 = 3m + 60. What is m?
  11. 11.Solve: 9p + 10 = 7p + 38. What is p?
  12. 12.The sum of two consecutive whole numbers is 37. What is the smallest of them?
  13. 13.Solve: x/5 + x/3 = 16. What is x?
  14. 14.A father is 13 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  15. 15.The sum of three consecutive whole numbers is 168. What is the smallest of them?
  16. 16.The sum of four consecutive whole numbers is 150. What is the smallest of them?
  17. 17.The sum of three consecutive whole numbers is 150. What is the smallest of them?
  18. 18.The sum of three consecutive whole numbers is 30. What is the largest of them?
  19. 19.Solve: 6(p − 4) = 4p + 24. What is p?
  20. 20.Solve: 6(t − 2) = 2t + 16. What is t?
  21. 21.The sum of three consecutive whole numbers is 21. What is the largest of them?
  22. 22.The length of a rectangle is 11 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  23. 23.The sum of two consecutive whole numbers is 83. What is the largest of them?
  24. 24.Solve: t/4 + t/3 = 49. What is t?
  25. 25.The length of a rectangle is 9 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  26. 26.The length of a rectangle is 11 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  27. 27.Solve: 5(m − 3) = 4m + 4. What is m?
  28. 28.A father is 10 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?
  29. 29.Solve: 9x + 5 = 2x + 40. What is x?
  30. 30.The sum of three consecutive whole numbers is 114. What is the largest of them?
  31. 31.Solve: 8n + 4 = 6n + 6. What is n?
  32. 32.Solve: 6p + 17 = p + 37. What is p?
  33. 33.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  34. 34.The length of a rectangle is 12 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  35. 35.Solve: 4(t − 1) = 3t + 4. What is t?
  36. 36.The sum of four consecutive whole numbers is 86. What is the largest of them?
  37. 37.Solve: 4t + 10 = t + 40. What is t?
  38. 38.Solve: 4p + 13 = 2p + 17. What is p?
  39. 39.The sum of two consecutive whole numbers is 113. What is the smallest of them?
  40. 40.The length of a rectangle is 8 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?

Answer key

  1. 10
  2. 11
  3. 12
  4. 8
  5. 13
  6. 9
  7. 20
  8. 6
  9. 13
  10. 9
  11. 14
  12. 18
  13. 30
  14. 5
  15. 55
  16. 36
  17. 49
  18. 11
  19. 24
  20. 7
  21. 8
  22. 27
  23. 42
  24. 84
  25. 7
  26. 14
  27. 19
  28. 4
  29. 5
  30. 39
  31. 1
  32. 4
  33. 2
  34. 23
  35. 8
  36. 23
  37. 10
  38. 2
  39. 56
  40. 7

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