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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 880 · 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: p/6 + p/2 = 4. What is p?
  2. 2.The length of a rectangle is 15 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  3. 3.A father is 6 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  4. 4.Solve: 4(p − 2) = p + 7. What is p?
  5. 5.Solve: m/4 + m/2 = 18. What is m?
  6. 6.Solve: 3(n − 2) = 2n + 4. What is n?
  7. 7.Solve: 8n + 17 = 7n + 20. What is n?
  8. 8.The length of a rectangle is 6 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  9. 9.Solve: m/6 + m/2 = 28. What is m?
  10. 10.Solve: 3(t − 2) = t + 2. What is t?
  11. 11.Solve: 6(n − 3) = 4n + 20. What is n?
  12. 12.The length of a rectangle is 8 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  13. 13.The length of a rectangle is 2 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  14. 14.A father is 22 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?
  15. 15.Solve: n/3 + n/6 = 9. What is n?
  16. 16.Solve: 3(m − 4) = 2m + 2. What is m?
  17. 17.The sum of two consecutive whole numbers is 121. What is the smallest of them?
  18. 18.Solve: 3(t − 3) = t + 11. What is t?
  19. 19.Solve: 4(p − 2) = 3p + 4. What is p?
  20. 20.The length of a rectangle is 9 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  21. 21.Solve: 5(m − 1) = 3m + 3. What is m?
  22. 22.The sum of three consecutive whole numbers is 108. What is the largest of them?
  23. 23.Solve: 5(t − 4) = 4t + 7. What is t?
  24. 24.The sum of four consecutive whole numbers is 82. What is the largest of them?
  25. 25.The sum of four consecutive whole numbers is 146. What is the smallest of them?
  26. 26.Solve: 6n + 3 = 4n + 9. What is n?
  27. 27.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
  28. 28.The sum of four consecutive whole numbers is 86. What is the largest of them?
  29. 29.Solve: 4(t − 4) = t + 32. What is t?
  30. 30.Solve: 6y + 4 = y + 59. What is y?
  31. 31.The sum of four consecutive whole numbers is 190. What is the largest of them?
  32. 32.Solve: y/5 + y/4 = 9. What is y?
  33. 33.The sum of three consecutive whole numbers is 57. What is the smallest of them?
  34. 34.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  35. 35.The sum of three consecutive whole numbers is 69. What is the largest of them?
  36. 36.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?
  37. 37.Solve: y/4 + y/6 = 25. What is y?
  38. 38.The length of a rectangle is 11 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  39. 39.Solve: 6(p − 5) = 2p + 38. What is p?
  40. 40.The length of a rectangle is 6 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?

Answer key

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

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