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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 279 · 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 9 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  2. 2.The sum of three consecutive whole numbers is 165. What is the smallest of them?
  3. 3.The sum of two consecutive whole numbers is 15. What is the largest of them?
  4. 4.Solve: 6(m − 4) = 3m + 24. What is m?
  5. 5.Solve: 7p + 4 = 2p + 14. What is p?
  6. 6.The sum of three consecutive whole numbers is 117. What is the smallest of them?
  7. 7.Solve: 5y + 5 = 4y + 19. What is y?
  8. 8.The sum of two consecutive whole numbers is 47. What is the smallest of them?
  9. 9.The length of a rectangle is 14 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  10. 10.Solve: t/3 + t/2 = 20. What is t?
  11. 11.The sum of four consecutive whole numbers is 110. What is the smallest of them?
  12. 12.Solve: m/5 + m/3 = 8. What is m?
  13. 13.A father is 18 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  14. 14.The sum of three consecutive whole numbers is 132. What is the largest of them?
  15. 15.The length of a rectangle is 7 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  16. 16.The sum of four consecutive whole numbers is 34. What is the smallest of them?
  17. 17.A father is 18 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  18. 18.Solve: 3x + 6 = 2x + 14. What is x?
  19. 19.A father is 7 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  20. 20.Solve: 3(t − 3) = t + 17. What is t?
  21. 21.Solve: 5n + 12 = n + 48. What is n?
  22. 22.A father is 28 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  23. 23.Solve: 9y + 9 = 8y + 14. What is y?
  24. 24.A father is 18 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  25. 25.A father is 8 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  26. 26.The sum of three consecutive whole numbers is 36. What is the largest of them?
  27. 27.Solve: 8n + 9 = 3n + 39. What is n?
  28. 28.The sum of three consecutive whole numbers is 153. What is the largest of them?
  29. 29.A father is 30 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?
  30. 30.The length of a rectangle is 4 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  31. 31.Solve: p/2 + p/6 = 4. What is p?
  32. 32.Solve: 5x + 5 = x + 41. What is x?
  33. 33.A father is 7 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  34. 34.A father is 18 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: y/5 + y/2 = 56. What is y?
  36. 36.A father is 20 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  37. 37.The length of a rectangle is 8 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  38. 38.The sum of three consecutive whole numbers is 18. What is the smallest of them?
  39. 39.The length of a rectangle is 1 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  40. 40.The length of a rectangle is 14 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?

Answer key

  1. 26
  2. 54
  3. 8
  4. 16
  5. 2
  6. 38
  7. 14
  8. 23
  9. 20
  10. 24
  11. 26
  12. 15
  13. 3
  14. 45
  15. 22
  16. 7
  17. 5
  18. 8
  19. 6
  20. 13
  21. 9
  22. 12
  23. 5
  24. 11
  25. 2
  26. 13
  27. 6
  28. 52
  29. 7
  30. 9
  31. 6
  32. 9
  33. 5
  34. 5
  35. 80
  36. 8
  37. 17
  38. 5
  39. 15
  40. 8

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