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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 559 · 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 20 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?
  2. 2.Solve: 5(n − 4) = 3n + 22. What is n?
  3. 3.The sum of three consecutive whole numbers is 96. What is the smallest of them?
  4. 4.Solve: n/3 + n/5 = 64. What is n?
  5. 5.Solve: 4y + 2 = 3y + 6. What is y?
  6. 6.Solve: p/4 + p/2 = 24. What is p?
  7. 7.Solve: 5p + 6 = 2p + 33. What is p?
  8. 8.The sum of three consecutive whole numbers is 141. What is the smallest of them?
  9. 9.Solve: m/6 + m/3 = 15. What is m?
  10. 10.Solve: 4(y − 5) = 3y + 2. What is y?
  11. 11.The sum of two consecutive whole numbers is 17. What is the smallest of them?
  12. 12.The sum of two consecutive whole numbers is 103. What is the smallest of them?
  13. 13.The sum of two consecutive whole numbers is 55. What is the smallest of them?
  14. 14.Solve: 5(n − 1) = 2n + 28. What is n?
  15. 15.The length of a rectangle is 15 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  16. 16.Solve: 8p + 16 = 7p + 24. What is p?
  17. 17.The sum of four consecutive whole numbers is 154. What is the largest of them?
  18. 18.Solve: 6(n − 5) = 2n + 34. What is n?
  19. 19.The length of a rectangle is 3 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  20. 20.The sum of two consecutive whole numbers is 99. What is the smallest of them?
  21. 21.A father is 16 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  22. 22.The length of a rectangle is 10 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
  23. 23.Solve: m/2 + m/3 = 25. What is m?
  24. 24.Solve: 3(n − 5) = n + 19. What is n?
  25. 25.A father is 36 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  26. 26.Solve: 5x + 17 = 2x + 47. What is x?
  27. 27.Solve: 5(x − 2) = 3x + 22. What is x?
  28. 28.The sum of two consecutive whole numbers is 43. What is the smallest of them?
  29. 29.Solve: n/6 + n/5 = 22. What is n?
  30. 30.Solve: 3(y − 5) = 2y + 8. What is y?
  31. 31.The length of a rectangle is 12 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  32. 32.The length of a rectangle is 5 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  33. 33.The length of a rectangle is 14 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  34. 34.Solve: 5(x − 2) = 4x + 13. What is x?
  35. 35.The length of a rectangle is 6 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  36. 36.The length of a rectangle is 3 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  37. 37.Solve: x/3 + x/6 = 6. What is x?
  38. 38.The length of a rectangle is 2 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  39. 39.Solve: 7x + 2 = x + 38. What is x?
  40. 40.Solve: 5(x − 4) = 2x + 22. What is x?

Answer key

  1. 7
  2. 21
  3. 31
  4. 120
  5. 4
  6. 32
  7. 9
  8. 46
  9. 30
  10. 22
  11. 8
  12. 51
  13. 27
  14. 11
  15. 13
  16. 8
  17. 40
  18. 16
  19. 25
  20. 49
  21. 7
  22. 30
  23. 30
  24. 17
  25. 8
  26. 10
  27. 16
  28. 21
  29. 60
  30. 23
  31. 18
  32. 21
  33. 3
  34. 23
  35. 25
  36. 15
  37. 12
  38. 4
  39. 6
  40. 14

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