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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 377 · 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: 4(y − 1) = y + 32. What is y?
  2. 2.Solve: 4(m − 3) = 3m + 12. What is m?
  3. 3.The length of a rectangle is 5 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  4. 4.Solve: 6t + 16 = 5t + 22. What is t?
  5. 5.The sum of four consecutive whole numbers is 210. What is the largest of them?
  6. 6.The sum of three consecutive whole numbers is 27. What is the smallest of them?
  7. 7.Solve: m/2 + m/6 = 4. What is m?
  8. 8.The sum of two consecutive whole numbers is 113. What is the largest of them?
  9. 9.Solve: t/5 + t/2 = 35. What is t?
  10. 10.Solve: 4x + 9 = x + 27. What is x?
  11. 11.The length of a rectangle is 13 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  12. 12.Solve: 4x + 5 = 2x + 13. What is x?
  13. 13.The length of a rectangle is 6 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  14. 14.Solve: 4(x − 1) = 2x + 10. What is x?
  15. 15.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?
  16. 16.Solve: 4(t − 4) = t + 11. What is t?
  17. 17.A father is 14 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  18. 18.The sum of three consecutive whole numbers is 168. What is the smallest of them?
  19. 19.Solve: 4(x − 3) = 2x + 12. What is x?
  20. 20.Solve: 3(n − 5) = n + 7. What is n?
  21. 21.Solve: p/5 + p/6 = 44. What is p?
  22. 22.Solve: y/2 + y/3 = 5. What is y?
  23. 23.Solve: t/4 + t/6 = 5. What is t?
  24. 24.Solve: x/5 + x/2 = 35. What is x?
  25. 25.Solve: 4(y − 2) = 2y + 4. What is y?
  26. 26.Solve: n/3 + n/2 = 20. What is n?
  27. 27.Solve: 6(n − 2) = n + 38. What is n?
  28. 28.Solve: p/4 + p/2 = 18. What is p?
  29. 29.Solve: 3(y − 3) = y + 1. What is y?
  30. 30.The length of a rectangle is 3 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  31. 31.The length of a rectangle is 3 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  32. 32.Solve: t/2 + t/5 = 49. What is t?
  33. 33.The length of a rectangle is 5 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  34. 34.Solve: 3(x − 5) = 2x + 5. What is x?
  35. 35.Solve: 5(x − 3) = x + 1. What is x?
  36. 36.The sum of two consecutive whole numbers is 111. What is the smallest of them?
  37. 37.Solve: 5(x − 3) = 4x + 5. What is x?
  38. 38.Solve: 5p + 5 = 3p + 13. What is p?
  39. 39.Solve: 9n + 9 = 5n + 69. What is n?
  40. 40.Solve: y/5 + y/2 = 49. What is y?

Answer key

  1. 12
  2. 24
  3. 7
  4. 6
  5. 54
  6. 8
  7. 6
  8. 57
  9. 50
  10. 6
  11. 26
  12. 4
  13. 30
  14. 7
  15. 11
  16. 9
  17. 9
  18. 55
  19. 12
  20. 11
  21. 120
  22. 6
  23. 12
  24. 50
  25. 6
  26. 24
  27. 10
  28. 24
  29. 5
  30. 27
  31. 15
  32. 70
  33. 4
  34. 20
  35. 4
  36. 55
  37. 20
  38. 4
  39. 15
  40. 70

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