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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 496 · 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: t/4 + t/3 = 42. What is t?
  2. 2.Solve: 5y + 1 = 4y + 3. What is y?
  3. 3.The length of a rectangle is 14 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  4. 4.Solve: 4(m − 1) = 3m + 10. What is m?
  5. 5.Solve: t/5 + t/6 = 55. What is t?
  6. 6.The length of a rectangle is 6 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  7. 7.Solve: 4t + 18 = 2t + 26. What is t?
  8. 8.The length of a rectangle is 1 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  9. 9.Solve: 5(y − 5) = 2y + 38. What is y?
  10. 10.A father is 21 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?
  11. 11.Solve: 5x + 19 = x + 59. What is x?
  12. 12.Solve: m/2 + m/4 = 18. What is m?
  13. 13.The sum of three consecutive whole numbers is 75. What is the smallest of them?
  14. 14.Solve: 4(p − 4) = 3p + 8. What is p?
  15. 15.A father is 27 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?
  16. 16.A father is 11 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: 5n + 1 = 4n + 6. What is n?
  18. 18.Solve: m/6 + m/4 = 5. What is m?
  19. 19.A father is 51 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?
  20. 20.A father is 26 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?
  21. 21.Solve: 6p + 18 = p + 53. What is p?
  22. 22.Solve: m/4 + m/5 = 27. What is m?
  23. 23.Solve: p/6 + p/2 = 28. What is p?
  24. 24.Solve: 5(x − 5) = x + 51. What is x?
  25. 25.The length of a rectangle is 2 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  26. 26.Solve: 5(t − 3) = t + 49. What is t?
  27. 27.Solve: 6(m − 3) = 2m + 14. What is m?
  28. 28.The length of a rectangle is 9 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  29. 29.Solve: 7y + 5 = y + 11. What is y?
  30. 30.Solve: 6(y − 4) = 2y + 40. What is y?
  31. 31.Solve: 3t + 13 = 2t + 21. What is t?
  32. 32.Solve: 4n + 10 = 2n + 28. What is n?
  33. 33.The sum of two consecutive whole numbers is 21. What is the smallest of them?
  34. 34.A father is 10 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  35. 35.Solve: x/4 + x/6 = 5. What is x?
  36. 36.A father is 6 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  37. 37.Solve: 9t + 11 = t + 27. What is t?
  38. 38.Solve: t/2 + t/5 = 7. What is t?
  39. 39.Solve: 5p + 1 = 2p + 16. What is p?
  40. 40.Solve: x/2 + x/6 = 16. What is x?

Answer key

  1. 72
  2. 2
  3. 19
  4. 14
  5. 150
  6. 11
  7. 4
  8. 6
  9. 21
  10. 2
  11. 10
  12. 24
  13. 24
  14. 24
  15. 4
  16. 5
  17. 5
  18. 12
  19. 12
  20. 11
  21. 7
  22. 60
  23. 42
  24. 19
  25. 26
  26. 16
  27. 8
  28. 18
  29. 1
  30. 16
  31. 8
  32. 9
  33. 10
  34. 2
  35. 12
  36. 2
  37. 2
  38. 10
  39. 5
  40. 24

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