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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 297 · 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: x/3 + x/4 = 28. What is x?
  2. 2.Solve: y/2 + y/4 = 21. What is y?
  3. 3.A father is 10 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?
  4. 4.A father is 39 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?
  5. 5.A father is 12 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  6. 6.Solve: t/3 + t/2 = 25. What is t?
  7. 7.Solve: x/2 + x/3 = 20. What is x?
  8. 8.The length of a rectangle is 7 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  9. 9.Solve: y/4 + y/2 = 15. What is y?
  10. 10.Solve: 3t + 3 = t + 33. What is t?
  11. 11.Solve: p/3 + p/4 = 28. What is p?
  12. 12.Solve: n/5 + n/3 = 48. What is n?
  13. 13.Solve: 7x + 19 = 4x + 58. What is x?
  14. 14.Solve: n/2 + n/4 = 6. What is n?
  15. 15.The length of a rectangle is 12 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  16. 16.The length of a rectangle is 9 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  17. 17.Solve: 7t + 1 = t + 7. What is t?
  18. 18.The sum of four consecutive whole numbers is 106. What is the largest of them?
  19. 19.Solve: p/2 + p/5 = 28. What is p?
  20. 20.The length of a rectangle is 9 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  21. 21.Solve: 6n + 4 = n + 64. What is n?
  22. 22.Solve: 3x + 13 = 2x + 24. What is x?
  23. 23.The length of a rectangle is 1 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  24. 24.Solve: 6(t − 1) = 2t + 2. What is t?
  25. 25.The length of a rectangle is 14 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  26. 26.The sum of four consecutive whole numbers is 218. What is the largest of them?
  27. 27.Solve: t/2 + t/5 = 42. What is t?
  28. 28.Solve: 3p + 12 = p + 38. What is p?
  29. 29.Solve: m/6 + m/2 = 16. What is m?
  30. 30.A father is 39 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?
  31. 31.The length of a rectangle is 15 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  32. 32.The sum of two consecutive whole numbers is 85. What is the smallest of them?
  33. 33.Solve: t/2 + t/6 = 24. What is t?
  34. 34.A father is 45 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  35. 35.The length of a rectangle is 8 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  36. 36.Solve: 5(x − 1) = 4x + 1. What is x?
  37. 37.A father is 22 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?
  38. 38.Solve: y/6 + y/2 = 20. What is y?
  39. 39.The sum of two consecutive whole numbers is 119. What is the smallest of them?
  40. 40.Solve: 6(x − 3) = 5x + 2. What is x?

Answer key

  1. 48
  2. 28
  3. 3
  4. 5
  5. 10
  6. 30
  7. 24
  8. 5
  9. 20
  10. 15
  11. 48
  12. 90
  13. 13
  14. 8
  15. 9
  16. 9
  17. 1
  18. 28
  19. 40
  20. 29
  21. 12
  22. 11
  23. 9
  24. 2
  25. 17
  26. 56
  27. 60
  28. 13
  29. 24
  30. 11
  31. 4
  32. 42
  33. 36
  34. 9
  35. 6
  36. 6
  37. 9
  38. 30
  39. 59
  40. 20

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