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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 627 · 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.The sum of three consecutive whole numbers is 144. What is the smallest of them?
  2. 2.A father is 26 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  3. 3.Solve: 3t + 10 = 2t + 17. What is t?
  4. 4.Solve: 5(p − 3) = 3p + 17. What is p?
  5. 5.A father is 51 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?
  6. 6.The sum of four consecutive whole numbers is 166. What is the largest of them?
  7. 7.Solve: 8t + 16 = 3t + 76. What is t?
  8. 8.The sum of three consecutive whole numbers is 159. What is the largest of them?
  9. 9.Solve: 4(n − 5) = n + 7. What is n?
  10. 10.Solve: p/4 + p/5 = 36. What is p?
  11. 11.The length of a rectangle is 5 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  12. 12.Solve: p/2 + p/3 = 25. What is p?
  13. 13.Solve: 4y + 3 = 3y + 4. What is y?
  14. 14.Solve: 9m + 11 = 5m + 31. What is m?
  15. 15.Solve: 9n + 2 = 8n + 10. What is n?
  16. 16.A father is 12 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?
  17. 17.Solve: 4t + 18 = 2t + 46. What is t?
  18. 18.Solve: t/6 + t/5 = 44. What is t?
  19. 19.The length of a rectangle is 7 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  20. 20.Solve: n/2 + n/3 = 10. What is n?
  21. 21.The length of a rectangle is 8 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  22. 22.The length of a rectangle is 14 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  23. 23.Solve: 3(m − 1) = 2m + 5. What is m?
  24. 24.The length of a rectangle is 3 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  25. 25.Solve: t/4 + t/5 = 63. What is t?
  26. 26.Solve: 3(y − 2) = y + 8. What is y?
  27. 27.Solve: y/6 + y/5 = 88. What is y?
  28. 28.Solve: 7t + 15 = 2t + 45. What is t?
  29. 29.Solve: 3(x − 5) = x + 1. What is x?
  30. 30.Solve: 6x + 10 = x + 20. What is x?
  31. 31.The length of a rectangle is 9 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  32. 32.Solve: 4n + 6 = n + 33. What is n?
  33. 33.The sum of two consecutive whole numbers is 37. What is the smallest of them?
  34. 34.The length of a rectangle is 6 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  35. 35.Solve: x/4 + x/2 = 6. What is x?
  36. 36.The sum of two consecutive whole numbers is 23. What is the largest of them?
  37. 37.Solve: 7y + 19 = 2y + 44. What is y?
  38. 38.Solve: m/3 + m/2 = 40. What is m?
  39. 39.Solve: t/3 + t/4 = 7. What is t?
  40. 40.Solve: p/3 + p/2 = 35. What is p?

Answer key

  1. 47
  2. 7
  3. 7
  4. 16
  5. 11
  6. 43
  7. 12
  8. 54
  9. 9
  10. 80
  11. 27
  12. 30
  13. 1
  14. 5
  15. 8
  16. 3
  17. 14
  18. 120
  19. 5
  20. 12
  21. 8
  22. 16
  23. 8
  24. 24
  25. 140
  26. 7
  27. 240
  28. 6
  29. 8
  30. 2
  31. 20
  32. 9
  33. 18
  34. 5
  35. 8
  36. 12
  37. 5
  38. 48
  39. 12
  40. 42

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