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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 527 · 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: 4m + 11 = m + 47. What is m?
  2. 2.Solve: 4p + 13 = 3p + 27. What is p?
  3. 3.Solve: 9n + 5 = 3n + 83. What is n?
  4. 4.Solve: 3(m − 1) = 2m + 1. What is m?
  5. 5.The sum of two consecutive whole numbers is 97. What is the largest of them?
  6. 6.The length of a rectangle is 11 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  7. 7.The sum of two consecutive whole numbers is 83. What is the smallest of them?
  8. 8.The length of a rectangle is 3 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  9. 9.Solve: 9t + 8 = 8t + 14. What is t?
  10. 10.The sum of three consecutive whole numbers is 129. What is the smallest of them?
  11. 11.Solve: 5(t − 5) = 4t + 8. What is t?
  12. 12.A father is 28 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  13. 13.The length of a rectangle is 10 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  14. 14.Solve: y/5 + y/3 = 56. What is y?
  15. 15.The sum of two consecutive whole numbers is 103. What is the largest of them?
  16. 16.Solve: 6n + 9 = 3n + 21. What is n?
  17. 17.Solve: 6(p − 2) = 2p + 20. What is p?
  18. 18.A father is 32 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  19. 19.Solve: p/3 + p/5 = 48. What is p?
  20. 20.Solve: m/5 + m/3 = 24. What is m?
  21. 21.Solve: x/5 + x/6 = 22. What is x?
  22. 22.Solve: 5(y − 1) = 3y + 3. What is y?
  23. 23.The sum of three consecutive whole numbers is 153. What is the largest of them?
  24. 24.Solve: 6p + 1 = 2p + 5. What is p?
  25. 25.The sum of three consecutive whole numbers is 36. What is the smallest of them?
  26. 26.The sum of three consecutive whole numbers is 96. What is the largest of them?
  27. 27.The length of a rectangle is 6 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  28. 28.The length of a rectangle is 2 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  29. 29.Solve: x/5 + x/3 = 56. What is x?
  30. 30.Solve: m/2 + m/4 = 21. What is m?
  31. 31.Solve: t/3 + t/6 = 12. What is t?
  32. 32.Solve: 9x + 14 = 4x + 79. What is x?
  33. 33.A father is 15 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?
  34. 34.The sum of three consecutive whole numbers is 81. What is the largest of them?
  35. 35.The sum of two consecutive whole numbers is 41. What is the largest of them?
  36. 36.The sum of four consecutive whole numbers is 178. What is the largest of them?
  37. 37.The length of a rectangle is 11 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  38. 38.A father is 24 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?
  39. 39.Solve: 3(x − 3) = 2x + 12. What is x?
  40. 40.The sum of two consecutive whole numbers is 27. What is the smallest of them?

Answer key

  1. 12
  2. 14
  3. 13
  4. 4
  5. 49
  6. 13
  7. 41
  8. 21
  9. 6
  10. 42
  11. 33
  12. 6
  13. 24
  14. 105
  15. 52
  16. 4
  17. 8
  18. 8
  19. 90
  20. 45
  21. 60
  22. 4
  23. 52
  24. 1
  25. 11
  26. 33
  27. 8
  28. 4
  29. 105
  30. 28
  31. 24
  32. 13
  33. 2
  34. 28
  35. 21
  36. 46
  37. 6
  38. 7
  39. 21
  40. 13

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