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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 234 · 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 15 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  2. 2.Solve: n/5 + n/6 = 11. What is n?
  3. 3.The length of a rectangle is 4 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  4. 4.The length of a rectangle is 3 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  5. 5.Solve: 3x + 8 = x + 30. What is x?
  6. 6.Solve: n/4 + n/3 = 35. What is n?
  7. 7.Solve: n/3 + n/4 = 14. What is n?
  8. 8.Solve: 4p + 20 = 2p + 22. What is p?
  9. 9.Solve: p/5 + p/4 = 54. What is p?
  10. 10.A father is 33 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?
  11. 11.The sum of four consecutive whole numbers is 126. What is the largest of them?
  12. 12.Solve: 9m + 8 = 5m + 24. What is m?
  13. 13.A father is 42 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?
  14. 14.The length of a rectangle is 14 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  15. 15.Solve: 8y + 15 = y + 106. What is y?
  16. 16.The length of a rectangle is 5 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  17. 17.Solve: 9x + 17 = 5x + 73. What is x?
  18. 18.The sum of two consecutive whole numbers is 43. What is the smallest of them?
  19. 19.Solve: t/3 + t/2 = 5. What is t?
  20. 20.Solve: 6y + 1 = 5y + 11. What is y?
  21. 21.The sum of three consecutive whole numbers is 183. What is the smallest of them?
  22. 22.Solve: 3(x − 1) = 2x + 11. What is x?
  23. 23.A father is 16 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  24. 24.Solve: 6(m − 1) = 4m + 4. What is m?
  25. 25.Solve: 4(x − 1) = x + 8. What is x?
  26. 26.Solve: 4(x − 5) = 3x + 3. What is x?
  27. 27.Solve: m/4 + m/6 = 20. What is m?
  28. 28.The length of a rectangle is 10 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  29. 29.Solve: 3(n − 5) = n + 25. What is n?
  30. 30.Solve: n/3 + n/4 = 42. What is n?
  31. 31.The length of a rectangle is 6 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  32. 32.The length of a rectangle is 4 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  33. 33.A father is 10 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.Solve: 7y + 15 = y + 105. What is y?
  35. 35.The length of a rectangle is 8 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  36. 36.Solve: x/5 + x/4 = 54. What is x?
  37. 37.Solve: p/5 + p/6 = 77. What is p?
  38. 38.The sum of three consecutive whole numbers is 180. What is the largest of them?
  39. 39.Solve: n/6 + n/5 = 88. What is n?
  40. 40.Solve: m/6 + m/2 = 12. What is m?

Answer key

  1. 9
  2. 30
  3. 23
  4. 14
  5. 11
  6. 60
  7. 24
  8. 1
  9. 120
  10. 9
  11. 33
  12. 4
  13. 11
  14. 22
  15. 13
  16. 15
  17. 14
  18. 21
  19. 6
  20. 10
  21. 60
  22. 14
  23. 12
  24. 5
  25. 4
  26. 23
  27. 48
  28. 25
  29. 20
  30. 72
  31. 11
  32. 10
  33. 8
  34. 15
  35. 19
  36. 120
  37. 210
  38. 61
  39. 240
  40. 18

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