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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 844 · 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 12 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  2. 2.The length of a rectangle is 2 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  3. 3.Solve: 5(t − 5) = 2t + 5. What is t?
  4. 4.The length of a rectangle is 10 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  5. 5.Solve: 9t + 9 = 3t + 87. What is t?
  6. 6.Solve: m/2 + m/3 = 10. What is m?
  7. 7.Solve: y/5 + y/6 = 22. What is y?
  8. 8.Solve: 3(p − 1) = p + 3. What is p?
  9. 9.Solve: 4t + 15 = t + 51. What is t?
  10. 10.The length of a rectangle is 6 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  11. 11.Solve: 5(t − 5) = 4t + 2. What is t?
  12. 12.Solve: 4(t − 2) = 3t + 10. What is t?
  13. 13.The length of a rectangle is 4 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  14. 14.The sum of two consecutive whole numbers is 43. What is the smallest of them?
  15. 15.Solve: x/2 + x/4 = 6. What is x?
  16. 16.A father is 36 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?
  17. 17.Solve: 4(y − 3) = 2y + 16. What is y?
  18. 18.The sum of two consecutive whole numbers is 115. What is the smallest of them?
  19. 19.Solve: t/5 + t/3 = 56. What is t?
  20. 20.Solve: 6(m − 5) = m + 10. What is m?
  21. 21.Solve: 6t + 10 = 2t + 62. What is t?
  22. 22.A father is 28 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?
  23. 23.Solve: 5(m − 5) = 2m + 20. What is m?
  24. 24.Solve: 6p + 3 = p + 53. What is p?
  25. 25.Solve: 3y + 1 = 2y + 2. What is y?
  26. 26.A father is 9 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  27. 27.Solve: 4(t − 4) = 2t + 16. What is t?
  28. 28.The sum of two consecutive whole numbers is 91. What is the smallest of them?
  29. 29.The sum of three consecutive whole numbers is 69. What is the largest of them?
  30. 30.A father is 36 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?
  31. 31.Solve: 3y + 19 = 2y + 21. What is y?
  32. 32.The sum of two consecutive whole numbers is 41. What is the smallest of them?
  33. 33.A father is 9 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  34. 34.Solve: n/5 + n/6 = 11. What is n?
  35. 35.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?
  36. 36.The sum of two consecutive whole numbers is 85. What is the smallest of them?
  37. 37.Solve: x/6 + x/3 = 24. What is x?
  38. 38.The sum of three consecutive whole numbers is 180. What is the largest of them?
  39. 39.The length of a rectangle is 6 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  40. 40.Solve: 8y + 7 = 7y + 22. What is y?

Answer key

  1. 13
  2. 21
  3. 10
  4. 4
  5. 13
  6. 12
  7. 60
  8. 3
  9. 12
  10. 29
  11. 27
  12. 18
  13. 26
  14. 21
  15. 8
  16. 4
  17. 14
  18. 57
  19. 105
  20. 8
  21. 13
  22. 9
  23. 15
  24. 10
  25. 1
  26. 8
  27. 16
  28. 45
  29. 24
  30. 9
  31. 2
  32. 20
  33. 6
  34. 30
  35. 12
  36. 42
  37. 48
  38. 61
  39. 15
  40. 15

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