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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 717 · 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: 6y + 4 = 5y + 8. What is y?
  2. 2.A father is 30 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  3. 3.The sum of three consecutive whole numbers is 117. What is the largest of them?
  4. 4.Solve: x/3 + x/2 = 30. What is x?
  5. 5.A father is 12 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  6. 6.Solve: 4(x − 4) = x + 26. What is x?
  7. 7.Solve: n/3 + n/2 = 35. What is n?
  8. 8.Solve: n/5 + n/3 = 24. What is n?
  9. 9.The sum of four consecutive whole numbers is 170. What is the smallest of them?
  10. 10.Solve: 4(t − 2) = 2t + 24. What is t?
  11. 11.The sum of two consecutive whole numbers is 11. What is the largest of them?
  12. 12.The length of a rectangle is 4 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  13. 13.Solve: 3(y − 1) = y + 25. What is y?
  14. 14.Solve: 3(p − 3) = p + 5. What is p?
  15. 15.The length of a rectangle is 11 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  16. 16.Solve: 9p + 16 = 3p + 34. What is p?
  17. 17.The length of a rectangle is 14 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  18. 18.The length of a rectangle is 14 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  19. 19.The length of a rectangle is 8 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  20. 20.The sum of four consecutive whole numbers is 82. What is the smallest of them?
  21. 21.Solve: n/5 + n/4 = 63. What is n?
  22. 22.Solve: x/6 + x/4 = 25. What is x?
  23. 23.Solve: 4y + 9 = 3y + 16. What is y?
  24. 24.The length of a rectangle is 7 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  25. 25.The sum of two consecutive whole numbers is 21. What is the largest of them?
  26. 26.A father is 20 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  27. 27.Solve: 4t + 11 = 3t + 14. What is t?
  28. 28.Solve: 9x + 20 = x + 140. What is x?
  29. 29.Solve: 4(n − 1) = 2n + 20. What is n?
  30. 30.Solve: n/4 + n/6 = 40. What is n?
  31. 31.Solve: 6(t − 2) = 2t + 52. What is t?
  32. 32.Solve: x/2 + x/3 = 5. What is x?
  33. 33.Solve: p/4 + p/3 = 14. What is p?
  34. 34.Solve: x/5 + x/4 = 54. What is x?
  35. 35.Solve: t/3 + t/5 = 24. What is t?
  36. 36.Solve: 6p + 18 = 5p + 31. What is p?
  37. 37.Solve: 6x + 7 = x + 57. What is x?
  38. 38.Solve: 6t + 18 = 3t + 39. What is t?
  39. 39.The sum of three consecutive whole numbers is 183. What is the largest of them?
  40. 40.Solve: 3(y − 1) = 2y + 7. What is y?

Answer key

  1. 4
  2. 10
  3. 40
  4. 36
  5. 2
  6. 14
  7. 42
  8. 45
  9. 41
  10. 16
  11. 6
  12. 7
  13. 14
  14. 7
  15. 3
  16. 3
  17. 3
  18. 25
  19. 28
  20. 19
  21. 140
  22. 60
  23. 7
  24. 4
  25. 11
  26. 5
  27. 3
  28. 15
  29. 12
  30. 96
  31. 16
  32. 6
  33. 24
  34. 120
  35. 45
  36. 13
  37. 10
  38. 7
  39. 62
  40. 10

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