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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 599 · 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: 7t + 9 = 3t + 33. What is t?
  2. 2.The sum of three consecutive whole numbers is 39. What is the largest of them?
  3. 3.Solve: 8p + 7 = p + 98. What is p?
  4. 4.Solve: m/2 + m/3 = 5. What is m?
  5. 5.The sum of two consecutive whole numbers is 107. What is the smallest of them?
  6. 6.The length of a rectangle is 4 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  7. 7.Solve: t/3 + t/5 = 8. What is t?
  8. 8.The length of a rectangle is 5 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  9. 9.A father is 14 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?
  10. 10.Solve: m/6 + m/3 = 21. What is m?
  11. 11.The length of a rectangle is 1 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  12. 12.Solve: x/4 + x/3 = 49. What is x?
  13. 13.Solve: y/2 + y/4 = 12. What is y?
  14. 14.Solve: 3(m − 5) = m + 19. What is m?
  15. 15.Solve: 5(p − 1) = p + 19. What is p?
  16. 16.The length of a rectangle is 12 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  17. 17.Solve: 4(m − 4) = m + 8. What is m?
  18. 18.Solve: n/3 + n/6 = 3. What is n?
  19. 19.Solve: y/3 + y/5 = 48. What is y?
  20. 20.Solve: 3m + 3 = 2m + 6. What is m?
  21. 21.Solve: 3m + 3 = m + 23. What is m?
  22. 22.A father is 15 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?
  23. 23.Solve: x/3 + x/2 = 30. What is x?
  24. 24.Solve: 5(p − 2) = p + 6. What is p?
  25. 25.A father is 51 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?
  26. 26.The length of a rectangle is 5 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  27. 27.Solve: 6(y − 4) = 3y + 24. What is y?
  28. 28.Solve: 3n + 20 = 2n + 27. What is n?
  29. 29.Solve: 5x + 4 = 4x + 5. What is x?
  30. 30.The length of a rectangle is 14 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  31. 31.The length of a rectangle is 1 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  32. 32.The sum of two consecutive whole numbers is 73. What is the largest of them?
  33. 33.The length of a rectangle is 6 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  34. 34.The sum of three consecutive whole numbers is 39. What is the smallest of them?
  35. 35.Solve: 3p + 1 = 2p + 14. What is p?
  36. 36.The length of a rectangle is 5 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  37. 37.Solve: 4(p − 1) = 3p + 10. What is p?
  38. 38.Solve: 6(n − 1) = n + 64. What is n?
  39. 39.The length of a rectangle is 3 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  40. 40.The sum of two consecutive whole numbers is 45. What is the smallest of them?

Answer key

  1. 6
  2. 14
  3. 13
  4. 6
  5. 53
  6. 3
  7. 15
  8. 13
  9. 5
  10. 42
  11. 16
  12. 84
  13. 16
  14. 17
  15. 6
  16. 25
  17. 8
  18. 6
  19. 90
  20. 3
  21. 10
  22. 3
  23. 36
  24. 4
  25. 10
  26. 10
  27. 16
  28. 7
  29. 1
  30. 20
  31. 7
  32. 37
  33. 29
  34. 12
  35. 13
  36. 23
  37. 14
  38. 14
  39. 9
  40. 22

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