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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 281 · 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/4 + x/6 = 10. What is x?
  2. 2.The length of a rectangle is 7 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  3. 3.The length of a rectangle is 8 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  4. 4.The sum of four consecutive whole numbers is 246. What is the smallest of them?
  5. 5.Solve: m/5 + m/4 = 45. What is m?
  6. 6.The length of a rectangle is 15 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  7. 7.Solve: 4n + 10 = n + 16. What is n?
  8. 8.A father is 28 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  9. 9.Solve: 4(n − 1) = 3n + 5. What is n?
  10. 10.Solve: 3(x − 2) = 2x + 1. What is x?
  11. 11.Solve: 5p + 6 = p + 14. What is p?
  12. 12.Solve: y/3 + y/6 = 21. What is y?
  13. 13.The length of a rectangle is 14 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  14. 14.Solve: 6m + 20 = 3m + 53. What is m?
  15. 15.Solve: 6p + 17 = 2p + 21. What is p?
  16. 16.The sum of two consecutive whole numbers is 97. What is the smallest of them?
  17. 17.Solve: 7x + 19 = 6x + 33. What is x?
  18. 18.The length of a rectangle is 7 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  19. 19.Solve: m/4 + m/6 = 5. What is m?
  20. 20.The sum of two consecutive whole numbers is 97. What is the largest of them?
  21. 21.The sum of three consecutive whole numbers is 69. What is the smallest of them?
  22. 22.Solve: n/5 + n/4 = 63. What is n?
  23. 23.A father is 11 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(t − 3) = 3t + 36. What is t?
  25. 25.Solve: 4y + 13 = 3y + 17. What is y?
  26. 26.The sum of four consecutive whole numbers is 34. What is the largest of them?
  27. 27.A father is 14 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  28. 28.Solve: x/2 + x/4 = 12. What is x?
  29. 29.Solve: 6(x − 5) = 4x + 2. What is x?
  30. 30.The length of a rectangle is 11 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  31. 31.Solve: 3(p − 5) = p + 23. What is p?
  32. 32.The sum of four consecutive whole numbers is 82. What is the smallest of them?
  33. 33.Solve: 9x + 18 = 8x + 28. What is x?
  34. 34.A father is 54 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  35. 35.Solve: 3p + 17 = p + 29. What is p?
  36. 36.The sum of three consecutive whole numbers is 150. What is the smallest of them?
  37. 37.Solve: 3t + 6 = 2t + 20. What is t?
  38. 38.Solve: 7n + 4 = n + 58. What is n?
  39. 39.The length of a rectangle is 14 cm more than its width. Its perimeter is 148 cm. What is its width (in cm)?
  40. 40.Solve: t/5 + t/2 = 42. What is t?

Answer key

  1. 24
  2. 22
  3. 7
  4. 60
  5. 100
  6. 16
  7. 2
  8. 10
  9. 9
  10. 7
  11. 2
  12. 42
  13. 18
  14. 11
  15. 1
  16. 48
  17. 14
  18. 30
  19. 12
  20. 49
  21. 22
  22. 140
  23. 7
  24. 18
  25. 4
  26. 10
  27. 10
  28. 16
  29. 16
  30. 4
  31. 19
  32. 19
  33. 10
  34. 11
  35. 6
  36. 49
  37. 14
  38. 9
  39. 30
  40. 60

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