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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 164 · 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: 3t + 15 = t + 21. What is t?
  2. 2.Solve: 6p + 18 = 2p + 54. What is p?
  3. 3.A father is 15 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  4. 4.The length of a rectangle is 11 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  5. 5.A father is 13 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  6. 6.Solve: 4(y − 1) = y + 5. What is y?
  7. 7.The length of a rectangle is 12 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  8. 8.Solve: 8y + 6 = 2y + 90. What is y?
  9. 9.Solve: n/2 + n/5 = 28. What is n?
  10. 10.Solve: 7x + 20 = 6x + 26. What is x?
  11. 11.Solve: 3(n − 4) = 2n + 7. What is n?
  12. 12.The sum of four consecutive whole numbers is 170. What is the smallest of them?
  13. 13.Solve: 5(x − 1) = x + 51. What is x?
  14. 14.Solve: 6(x − 3) = 5x + 3. What is x?
  15. 15.Solve: 6m + 15 = 4m + 45. What is m?
  16. 16.Solve: x/2 + x/3 = 15. What is x?
  17. 17.Solve: 6p + 4 = 5p + 5. What is p?
  18. 18.Solve: 4(p − 1) = 3p + 8. What is p?
  19. 19.Solve: n/4 + n/3 = 28. What is n?
  20. 20.The length of a rectangle is 11 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  21. 21.Solve: 3(m − 5) = m + 7. What is m?
  22. 22.A father is 26 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  23. 23.Solve: 4(n − 4) = n + 8. What is n?
  24. 24.Solve: 4(t − 4) = t + 29. What is t?
  25. 25.A father is 51 years older than his son. In 8 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 6 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  27. 27.The length of a rectangle is 6 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  28. 28.A father is 21 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  29. 29.The sum of two consecutive whole numbers is 101. What is the smallest of them?
  30. 30.Solve: 7p + 7 = 3p + 55. What is p?
  31. 31.Solve: n/3 + n/4 = 42. What is n?
  32. 32.The sum of two consecutive whole numbers is 29. What is the smallest of them?
  33. 33.Solve: y/2 + y/3 = 5. What is y?
  34. 34.The sum of four consecutive whole numbers is 214. What is the largest of them?
  35. 35.Solve: 9t + 20 = 2t + 41. What is t?
  36. 36.The sum of three consecutive whole numbers is 156. What is the largest of them?
  37. 37.The length of a rectangle is 6 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  38. 38.Solve: 6(m − 2) = 5m + 10. What is m?
  39. 39.Solve: n/3 + n/5 = 64. What is n?
  40. 40.Solve: 4(y − 2) = 3y + 3. What is y?

Answer key

  1. 3
  2. 9
  3. 11
  4. 3
  5. 7
  6. 3
  7. 14
  8. 14
  9. 40
  10. 6
  11. 19
  12. 41
  13. 14
  14. 21
  15. 15
  16. 18
  17. 1
  18. 12
  19. 48
  20. 9
  21. 11
  22. 5
  23. 8
  24. 15
  25. 9
  26. 24
  27. 15
  28. 4
  29. 50
  30. 12
  31. 72
  32. 14
  33. 6
  34. 55
  35. 3
  36. 53
  37. 13
  38. 22
  39. 120
  40. 11

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