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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 248 · 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: 7y + 4 = y + 94. What is y?
  2. 2.Solve: n/4 + n/2 = 9. What is n?
  3. 3.A father is 33 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?
  4. 4.The length of a rectangle is 1 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  5. 5.The length of a rectangle is 9 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  6. 6.Solve: 6n + 5 = 4n + 15. What is n?
  7. 7.The length of a rectangle is 4 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  8. 8.Solve: m/3 + m/4 = 35. What is m?
  9. 9.Solve: 3(x − 2) = 2x + 5. What is x?
  10. 10.A father is 18 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?
  11. 11.Solve: 8n + 15 = 7n + 18. What is n?
  12. 12.Solve: t/5 + t/3 = 64. What is t?
  13. 13.A father is 14 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  14. 14.The sum of three consecutive whole numbers is 27. What is the largest of them?
  15. 15.A father is 24 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  16. 16.Solve: 4p + 1 = p + 16. What is p?
  17. 17.The sum of four consecutive whole numbers is 66. What is the smallest of them?
  18. 18.Solve: 4y + 10 = y + 13. What is y?
  19. 19.The sum of three consecutive whole numbers is 87. What is the smallest of them?
  20. 20.The sum of three consecutive whole numbers is 156. What is the largest of them?
  21. 21.Solve: x/2 + x/4 = 6. What is x?
  22. 22.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
  23. 23.Solve: x/6 + x/2 = 32. What is x?
  24. 24.A father is 39 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?
  25. 25.Solve: 5(x − 1) = 2x + 28. What is x?
  26. 26.Solve: 3(t − 2) = t + 6. What is t?
  27. 27.A father is 33 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  28. 28.A father is 27 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?
  29. 29.A father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  30. 30.Solve: n/2 + n/3 = 30. What is n?
  31. 31.A father is 24 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  32. 32.Solve: 7m + 6 = 4m + 18. What is m?
  33. 33.A father is 8 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  34. 34.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?
  35. 35.Solve: 3p + 2 = p + 4. What is p?
  36. 36.The length of a rectangle is 8 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  37. 37.Solve: x/3 + x/4 = 28. What is x?
  38. 38.Solve: m/5 + m/6 = 44. What is m?
  39. 39.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?
  40. 40.Solve: x/2 + x/4 = 9. What is x?

Answer key

  1. 15
  2. 12
  3. 8
  4. 17
  5. 18
  6. 5
  7. 7
  8. 60
  9. 11
  10. 2
  11. 3
  12. 120
  13. 9
  14. 10
  15. 4
  16. 5
  17. 15
  18. 1
  19. 28
  20. 53
  21. 8
  22. 3
  23. 48
  24. 10
  25. 11
  26. 6
  27. 6
  28. 6
  29. 9
  30. 36
  31. 6
  32. 4
  33. 7
  34. 12
  35. 1
  36. 18
  37. 48
  38. 120
  39. 2
  40. 12

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