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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 21 · 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: n/2 + n/5 = 56. What is n?
  2. 2.Solve: 3n + 11 = n + 41. What is n?
  3. 3.Solve: x/6 + x/2 = 4. What is x?
  4. 4.Solve: n/6 + n/4 = 15. What is n?
  5. 5.The length of a rectangle is 2 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  6. 6.Solve: 4(m − 2) = 3m + 5. What is m?
  7. 7.The length of a rectangle is 2 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  8. 8.Solve: 3p + 10 = p + 30. What is p?
  9. 9.Solve: 4(x − 5) = 3x + 4. What is x?
  10. 10.The sum of four consecutive whole numbers is 158. What is the smallest of them?
  11. 11.The sum of two consecutive whole numbers is 39. What is the smallest of them?
  12. 12.Solve: 4m + 6 = m + 9. What is m?
  13. 13.Solve: 4(y − 4) = 3y + 12. What is y?
  14. 14.Solve: 4(m − 5) = 3m + 7. What is m?
  15. 15.Solve: 6(m − 4) = m + 56. What is m?
  16. 16.Solve: 3p + 3 = 2p + 6. What is p?
  17. 17.The sum of four consecutive whole numbers is 178. What is the smallest of them?
  18. 18.Solve: 6(m − 4) = 5m + 6. What is m?
  19. 19.Solve: t/3 + t/6 = 6. What is t?
  20. 20.A father is 27 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  21. 21.Solve: 6n + 15 = n + 70. What is n?
  22. 22.Solve: 9x + 3 = 4x + 43. What is x?
  23. 23.Solve: 5y + 10 = 4y + 14. What is y?
  24. 24.The length of a rectangle is 13 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  25. 25.The sum of three consecutive whole numbers is 57. What is the largest of them?
  26. 26.Solve: 8y + 8 = y + 99. What is y?
  27. 27.The length of a rectangle is 3 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  28. 28.The sum of three consecutive whole numbers is 45. What is the largest of them?
  29. 29.The length of a rectangle is 1 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
  30. 30.A father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  31. 31.The sum of four consecutive whole numbers is 202. What is the largest of them?
  32. 32.Solve: y/3 + y/6 = 15. What is y?
  33. 33.The length of a rectangle is 9 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
  34. 34.Solve: 8n + 14 = 6n + 26. What is n?
  35. 35.The length of a rectangle is 1 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  36. 36.The length of a rectangle is 5 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  37. 37.The sum of two consecutive whole numbers is 91. What is the smallest of them?
  38. 38.Solve: m/4 + m/6 = 5. What is m?
  39. 39.The length of a rectangle is 3 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  40. 40.Solve: 3x + 1 = 2x + 14. What is x?

Answer key

  1. 80
  2. 15
  3. 6
  4. 36
  5. 25
  6. 13
  7. 6
  8. 10
  9. 24
  10. 38
  11. 19
  12. 1
  13. 28
  14. 27
  15. 16
  16. 3
  17. 43
  18. 30
  19. 12
  20. 4
  21. 11
  22. 8
  23. 4
  24. 26
  25. 20
  26. 13
  27. 7
  28. 16
  29. 3
  30. 9
  31. 52
  32. 30
  33. 30
  34. 6
  35. 21
  36. 16
  37. 45
  38. 12
  39. 12
  40. 13

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