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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 200 · 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.The length of a rectangle is 5 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  2. 2.Solve: 5(y − 4) = y + 20. What is y?
  3. 3.Solve: 9n + 7 = 8n + 18. What is n?
  4. 4.The length of a rectangle is 13 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  5. 5.Solve: 5x + 8 = x + 52. What is x?
  6. 6.The sum of three consecutive whole numbers is 168. What is the smallest of them?
  7. 7.Solve: 7x + 10 = 3x + 22. What is x?
  8. 8.The length of a rectangle is 7 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  9. 9.The length of a rectangle is 4 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  10. 10.Solve: n/2 + n/3 = 5. What is n?
  11. 11.Solve: 8m + 11 = 3m + 71. What is m?
  12. 12.The sum of two consecutive whole numbers is 59. What is the smallest of them?
  13. 13.Solve: 6(p − 1) = 5p + 1. What is p?
  14. 14.The sum of four consecutive whole numbers is 158. What is the smallest of them?
  15. 15.Solve: 6(t − 2) = 5t + 9. What is t?
  16. 16.Solve: 3(t − 3) = 2t + 9. What is t?
  17. 17.Solve: x/3 + x/4 = 49. What is x?
  18. 18.Solve: 5t + 8 = 3t + 20. What is t?
  19. 19.The sum of three consecutive whole numbers is 159. What is the largest of them?
  20. 20.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?
  21. 21.Solve: 4(x − 3) = 3x + 10. What is x?
  22. 22.Solve: 3(t − 5) = t + 25. What is t?
  23. 23.Solve: 3t + 17 = t + 33. What is t?
  24. 24.Solve: 4(p − 2) = 3p + 12. What is p?
  25. 25.The length of a rectangle is 10 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  26. 26.Solve: 8x + 5 = 6x + 15. What is x?
  27. 27.The sum of three consecutive whole numbers is 141. What is the smallest of them?
  28. 28.Solve: m/4 + m/6 = 10. What is m?
  29. 29.A father is 39 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?
  30. 30.The sum of four consecutive whole numbers is 154. What is the smallest of them?
  31. 31.The sum of three consecutive whole numbers is 135. What is the smallest of them?
  32. 32.Solve: 5x + 19 = 3x + 35. What is x?
  33. 33.The length of a rectangle is 4 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  34. 34.Solve: 6y + 6 = 3y + 45. What is y?
  35. 35.Solve: 9y + 16 = 7y + 26. What is y?
  36. 36.Solve: 6(y − 3) = 3y + 30. What is y?
  37. 37.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  38. 38.The length of a rectangle is 7 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  39. 39.Solve: 6p + 9 = p + 64. What is p?
  40. 40.Solve: 5(y − 3) = 3y + 11. What is y?

Answer key

  1. 26
  2. 10
  3. 11
  4. 9
  5. 11
  6. 55
  7. 3
  8. 19
  9. 18
  10. 6
  11. 12
  12. 29
  13. 7
  14. 38
  15. 21
  16. 18
  17. 84
  18. 6
  19. 54
  20. 3
  21. 22
  22. 20
  23. 8
  24. 20
  25. 3
  26. 5
  27. 46
  28. 24
  29. 6
  30. 37
  31. 44
  32. 8
  33. 11
  34. 13
  35. 5
  36. 16
  37. 4
  38. 8
  39. 11
  40. 13

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