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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 187 · 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: 3(t − 5) = t + 11. What is t?
  2. 2.A father is 12 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  3. 3.A father is 16 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  4. 4.The sum of four consecutive whole numbers is 234. What is the smallest of them?
  5. 5.Solve: 9t + 4 = 5t + 48. What is t?
  6. 6.The sum of three consecutive whole numbers is 168. What is the smallest of them?
  7. 7.A father is 30 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  8. 8.Solve: x/2 + x/4 = 12. What is x?
  9. 9.Solve: 4t + 4 = 3t + 13. What is t?
  10. 10.Solve: 8x + 20 = 6x + 32. What is x?
  11. 11.Solve: x/3 + x/5 = 8. What is x?
  12. 12.Solve: 5x + 16 = x + 28. What is x?
  13. 13.The sum of two consecutive whole numbers is 117. What is the largest of them?
  14. 14.A father is 57 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?
  15. 15.Solve: 4(n − 2) = 3n + 12. What is n?
  16. 16.Solve: 3m + 4 = m + 6. What is m?
  17. 17.Solve: 4(m − 5) = m + 10. What is m?
  18. 18.Solve: 6t + 11 = t + 21. What is t?
  19. 19.Solve: y/5 + y/6 = 44. What is y?
  20. 20.Solve: 5t + 3 = 2t + 21. What is t?
  21. 21.Solve: 6(n − 2) = 4n + 6. What is n?
  22. 22.The sum of three consecutive whole numbers is 174. What is the largest of them?
  23. 23.Solve: 3(y − 2) = y + 20. What is y?
  24. 24.The length of a rectangle is 12 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  25. 25.Solve: 7m + 17 = 3m + 33. What is m?
  26. 26.The sum of three consecutive whole numbers is 162. What is the largest of them?
  27. 27.Solve: 5n + 1 = 3n + 15. What is n?
  28. 28.Solve: p/4 + p/5 = 36. What is p?
  29. 29.Solve: n/5 + n/3 = 40. What is n?
  30. 30.The sum of four consecutive whole numbers is 242. What is the largest of them?
  31. 31.Solve: n/6 + n/3 = 12. What is n?
  32. 32.The sum of two consecutive whole numbers is 11. What is the smallest of them?
  33. 33.The length of a rectangle is 11 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  34. 34.Solve: 6(y − 5) = 5y + 11. What is y?
  35. 35.The sum of two consecutive whole numbers is 83. What is the largest of them?
  36. 36.Solve: 8p + 1 = 2p + 43. What is p?
  37. 37.Solve: n/5 + n/4 = 9. What is n?
  38. 38.Solve: 4(t − 3) = 2t + 26. What is t?
  39. 39.Solve: 8t + 3 = 5t + 30. What is t?
  40. 40.Solve: 4(t − 3) = 3t + 2. What is t?

Answer key

  1. 13
  2. 5
  3. 7
  4. 57
  5. 11
  6. 55
  7. 4
  8. 16
  9. 9
  10. 6
  11. 15
  12. 3
  13. 59
  14. 12
  15. 20
  16. 1
  17. 10
  18. 2
  19. 120
  20. 6
  21. 9
  22. 59
  23. 13
  24. 6
  25. 4
  26. 55
  27. 7
  28. 80
  29. 75
  30. 62
  31. 24
  32. 5
  33. 23
  34. 41
  35. 42
  36. 7
  37. 20
  38. 19
  39. 9
  40. 14

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