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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 322 · 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: y/6 + y/5 = 55. What is y?
  2. 2.Solve: 9m + 16 = 2m + 79. What is m?
  3. 3.Solve: 7x + 14 = 6x + 15. What is x?
  4. 4.Solve: 3p + 2 = 2p + 15. What is p?
  5. 5.The length of a rectangle is 1 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  6. 6.The length of a rectangle is 1 cm more than its width. Its perimeter is 10 cm. What is its width (in cm)?
  7. 7.Solve: 5n + 6 = 3n + 22. What is n?
  8. 8.Solve: p/2 + p/3 = 20. What is p?
  9. 9.Solve: 7x + 4 = 2x + 39. What is x?
  10. 10.Solve: 7n + 4 = 5n + 6. What is n?
  11. 11.Solve: y/2 + y/6 = 28. What is y?
  12. 12.A father is 13 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  13. 13.Solve: 4(x − 4) = 2x + 24. What is x?
  14. 14.Solve: 5(p − 4) = p + 16. What is p?
  15. 15.The sum of four consecutive whole numbers is 142. What is the smallest of them?
  16. 16.The length of a rectangle is 12 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  17. 17.Solve: m/2 + m/4 = 9. What is m?
  18. 18.A father is 27 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?
  19. 19.The length of a rectangle is 13 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  20. 20.The sum of three consecutive whole numbers is 165. What is the largest of them?
  21. 21.The length of a rectangle is 10 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  22. 22.Solve: n/2 + n/6 = 4. What is n?
  23. 23.The sum of four consecutive whole numbers is 74. What is the largest of them?
  24. 24.The length of a rectangle is 15 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  25. 25.Solve: 4x + 7 = 2x + 9. What is x?
  26. 26.The sum of three consecutive whole numbers is 111. What is the largest of them?
  27. 27.The sum of four consecutive whole numbers is 182. What is the smallest of them?
  28. 28.Solve: 5(t − 1) = t + 3. What is t?
  29. 29.Solve: 4(p − 1) = p + 29. What is p?
  30. 30.The sum of three consecutive whole numbers is 129. What is the smallest of them?
  31. 31.Solve: p/3 + p/6 = 21. What is p?
  32. 32.Solve: 6x + 9 = 4x + 17. What is x?
  33. 33.The sum of two consecutive whole numbers is 101. What is the smallest of them?
  34. 34.The length of a rectangle is 12 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  35. 35.Solve: y/5 + y/3 = 16. What is y?
  36. 36.The sum of three consecutive whole numbers is 33. What is the smallest of them?
  37. 37.Solve: n/2 + n/5 = 56. What is n?
  38. 38.A father is 24 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  39. 39.The length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
  40. 40.The length of a rectangle is 9 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?

Answer key

  1. 150
  2. 9
  3. 1
  4. 13
  5. 28
  6. 2
  7. 8
  8. 24
  9. 7
  10. 1
  11. 42
  12. 9
  13. 20
  14. 9
  15. 34
  16. 25
  17. 12
  18. 5
  19. 19
  20. 56
  21. 25
  22. 6
  23. 20
  24. 11
  25. 1
  26. 38
  27. 44
  28. 2
  29. 11
  30. 42
  31. 42
  32. 4
  33. 50
  34. 21
  35. 30
  36. 10
  37. 80
  38. 7
  39. 2
  40. 7

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