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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 688 · 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.A father is 11 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  2. 2.Solve: t/3 + t/5 = 64. What is t?
  3. 3.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
  4. 4.The sum of three consecutive whole numbers is 174. What is the smallest of them?
  5. 5.Solve: p/4 + p/2 = 6. What is p?
  6. 6.Solve: 8m + 13 = 6m + 19. What is m?
  7. 7.Solve: n/4 + n/6 = 40. What is n?
  8. 8.A father is 32 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?
  9. 9.The length of a rectangle is 15 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  10. 10.Solve: m/2 + m/3 = 35. What is m?
  11. 11.A father is 9 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  12. 12.Solve: t/4 + t/6 = 15. What is t?
  13. 13.Solve: y/6 + y/3 = 12. What is y?
  14. 14.Solve: y/2 + y/5 = 35. What is y?
  15. 15.The sum of four consecutive whole numbers is 186. What is the smallest of them?
  16. 16.Solve: y/4 + y/2 = 24. What is y?
  17. 17.A father is 36 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?
  18. 18.The length of a rectangle is 10 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  19. 19.Solve: t/5 + t/2 = 42. What is t?
  20. 20.Solve: x/4 + x/5 = 36. What is x?
  21. 21.The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  22. 22.The length of a rectangle is 11 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  23. 23.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  24. 24.A father is 7 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  25. 25.The length of a rectangle is 9 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  26. 26.Solve: 4(t − 1) = t + 11. What is t?
  27. 27.The sum of four consecutive whole numbers is 62. What is the largest of them?
  28. 28.Solve: 8n + 2 = 2n + 68. What is n?
  29. 29.Solve: 3(m − 2) = m + 2. What is m?
  30. 30.The length of a rectangle is 3 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  31. 31.Solve: x/6 + x/2 = 28. What is x?
  32. 32.Solve: t/6 + t/5 = 11. What is t?
  33. 33.Solve: 3(x − 4) = x + 22. What is x?
  34. 34.Solve: x/2 + x/4 = 9. What is x?
  35. 35.Solve: m/2 + m/4 = 12. What is m?
  36. 36.The length of a rectangle is 4 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  37. 37.Solve: 7y + 20 = 5y + 40. What is y?
  38. 38.Solve: 3(n − 4) = 2n + 10. What is n?
  39. 39.The length of a rectangle is 2 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  40. 40.Solve: 4m + 9 = 2m + 11. What is m?

Answer key

  1. 10
  2. 120
  3. 3
  4. 57
  5. 8
  6. 3
  7. 96
  8. 11
  9. 4
  10. 42
  11. 5
  12. 36
  13. 24
  14. 50
  15. 45
  16. 32
  17. 10
  18. 7
  19. 60
  20. 80
  21. 3
  22. 28
  23. 2
  24. 2
  25. 9
  26. 5
  27. 17
  28. 11
  29. 4
  30. 9
  31. 42
  32. 30
  33. 17
  34. 12
  35. 16
  36. 9
  37. 10
  38. 22
  39. 26
  40. 1

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