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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 121 · 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 6 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  2. 2.A father is 18 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 length of a rectangle is 5 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  4. 4.Solve: p/2 + p/3 = 40. What is p?
  5. 5.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  6. 6.The sum of three consecutive whole numbers is 171. What is the smallest of them?
  7. 7.The sum of two consecutive whole numbers is 15. What is the smallest of them?
  8. 8.Solve: 4m + 13 = 2m + 27. What is m?
  9. 9.A father is 28 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  10. 10.Solve: y/5 + y/3 = 8. What is y?
  11. 11.Solve: t/3 + t/2 = 35. What is t?
  12. 12.The length of a rectangle is 3 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  13. 13.The sum of two consecutive whole numbers is 13. What is the largest of them?
  14. 14.Solve: p/3 + p/2 = 30. What is p?
  15. 15.Solve: 5(x − 5) = 4x + 3. What is x?
  16. 16.A father is 10 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  17. 17.Solve: n/5 + n/3 = 32. What is n?
  18. 18.The sum of four consecutive whole numbers is 154. What is the largest of them?
  19. 19.Solve: x/3 + x/4 = 7. What is x?
  20. 20.Solve: 6(x − 3) = 2x + 14. What is x?
  21. 21.A father is 17 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  22. 22.Solve: 3(t − 5) = 2t + 8. What is t?
  23. 23.Solve: 5(n − 2) = 3n + 22. What is n?
  24. 24.Solve: 4t + 15 = t + 54. What is t?
  25. 25.Solve: m/2 + m/4 = 18. What is m?
  26. 26.The sum of three consecutive whole numbers is 120. What is the largest of them?
  27. 27.Solve: x/2 + x/4 = 21. What is x?
  28. 28.The length of a rectangle is 8 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  29. 29.The sum of four consecutive whole numbers is 42. What is the largest of them?
  30. 30.Solve: 8y + 20 = 7y + 30. What is y?
  31. 31.Solve: 5(x − 1) = x + 23. What is x?
  32. 32.The length of a rectangle is 8 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  33. 33.Solve: x/5 + x/6 = 44. What is x?
  34. 34.A father is 22 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?
  35. 35.Solve: n/4 + n/5 = 36. What is n?
  36. 36.The length of a rectangle is 13 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  37. 37.Solve: t/6 + t/3 = 15. What is t?
  38. 38.Solve: 4n + 16 = 3n + 19. What is n?
  39. 39.Solve: 6y + 19 = 5y + 32. What is y?
  40. 40.The length of a rectangle is 1 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?

Answer key

  1. 2
  2. 4
  3. 20
  4. 48
  5. 7
  6. 56
  7. 7
  8. 7
  9. 7
  10. 15
  11. 42
  12. 17
  13. 7
  14. 36
  15. 28
  16. 4
  17. 60
  18. 40
  19. 12
  20. 8
  21. 11
  22. 23
  23. 16
  24. 13
  25. 24
  26. 41
  27. 28
  28. 15
  29. 12
  30. 10
  31. 7
  32. 26
  33. 120
  34. 7
  35. 80
  36. 27
  37. 30
  38. 3
  39. 13
  40. 16

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