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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 36 · 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: 6(t − 1) = 3t + 33. What is t?
  2. 2.Solve: 4(m − 2) = 3m + 7. What is m?
  3. 3.Solve: 4(p − 3) = 2p + 20. What is p?
  4. 4.Solve: 9p + 5 = 5p + 49. What is p?
  5. 5.The sum of two consecutive whole numbers is 115. What is the smallest of them?
  6. 6.The length of a rectangle is 4 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  7. 7.Solve: 3(t − 2) = t + 18. What is t?
  8. 8.Solve: 4(n − 3) = 3n + 4. What is n?
  9. 9.The length of a rectangle is 15 cm more than its width. Its perimeter is 142 cm. What is its width (in cm)?
  10. 10.The sum of two consecutive whole numbers is 13. What is the smallest of them?
  11. 11.Solve: 3(x − 2) = x + 4. What is x?
  12. 12.Solve: 5p + 4 = 3p + 8. What is p?
  13. 13.The length of a rectangle is 10 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  14. 14.Solve: t/4 + t/6 = 10. What is t?
  15. 15.The sum of two consecutive whole numbers is 115. What is the largest of them?
  16. 16.A father is 14 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?
  17. 17.The length of a rectangle is 3 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  18. 18.The sum of two consecutive whole numbers is 63. What is the smallest of them?
  19. 19.The length of a rectangle is 13 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  20. 20.Solve: 6y + 10 = 5y + 21. What is y?
  21. 21.The sum of two consecutive whole numbers is 91. What is the smallest of them?
  22. 22.Solve: 4m + 16 = m + 31. What is m?
  23. 23.A father is 45 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  24. 24.Solve: 3m + 7 = 2m + 11. What is m?
  25. 25.The length of a rectangle is 3 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  26. 26.The length of a rectangle is 15 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  27. 27.A father is 30 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?
  28. 28.Solve: 4y + 20 = y + 53. What is y?
  29. 29.Solve: m/6 + m/3 = 6. What is m?
  30. 30.Solve: x/6 + x/2 = 20. What is x?
  31. 31.Solve: 3(y − 3) = y + 11. What is y?
  32. 32.Solve: y/3 + y/4 = 14. What is y?
  33. 33.A father is 10 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?
  34. 34.Solve: 7t + 14 = 2t + 34. What is t?
  35. 35.Solve: y/2 + y/3 = 5. What is y?
  36. 36.Solve: 6(t − 5) = 2t + 34. What is t?
  37. 37.The sum of two consecutive whole numbers is 57. What is the smallest of them?
  38. 38.Solve: 4(m − 2) = m + 34. What is m?
  39. 39.Solve: 6(p − 5) = 2p + 10. What is p?
  40. 40.Solve: m/3 + m/5 = 48. What is m?

Answer key

  1. 13
  2. 15
  3. 16
  4. 11
  5. 57
  6. 26
  7. 12
  8. 16
  9. 28
  10. 6
  11. 5
  12. 2
  13. 20
  14. 24
  15. 58
  16. 4
  17. 24
  18. 31
  19. 9
  20. 11
  21. 45
  22. 5
  23. 8
  24. 4
  25. 16
  26. 19
  27. 9
  28. 11
  29. 12
  30. 30
  31. 10
  32. 24
  33. 2
  34. 4
  35. 6
  36. 16
  37. 28
  38. 14
  39. 10
  40. 90

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