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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 654 · 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 93. What is the smallest of them?
  2. 2.Solve: 4(n − 4) = 2n + 2. What is n?
  3. 3.Solve: 5(m − 2) = 4m + 2. What is m?
  4. 4.Solve: m/4 + m/3 = 21. What is m?
  5. 5.The sum of four consecutive whole numbers is 38. What is the largest of them?
  6. 6.Solve: 3(n − 5) = 2n + 3. What is n?
  7. 7.Solve: 6(p − 5) = p + 25. What is p?
  8. 8.Solve: 9y + 2 = 6y + 5. What is y?
  9. 9.Solve: 8m + 4 = 3m + 74. What is m?
  10. 10.Solve: p/4 + p/5 = 9. What is p?
  11. 11.Solve: t/5 + t/3 = 48. What is t?
  12. 12.A father is 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  13. 13.The length of a rectangle is 12 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  14. 14.Solve: 5(x − 2) = 4x + 4. What is x?
  15. 15.Solve: t/2 + t/5 = 7. What is t?
  16. 16.Solve: t/5 + t/2 = 7. What is t?
  17. 17.The length of a rectangle is 13 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  18. 18.Solve: 4n + 11 = 3n + 24. What is n?
  19. 19.The sum of three consecutive whole numbers is 114. What is the largest of them?
  20. 20.The sum of three consecutive whole numbers is 117. What is the largest of them?
  21. 21.The length of a rectangle is 14 cm more than its width. Its perimeter is 148 cm. What is its width (in cm)?
  22. 22.Solve: 6(y − 3) = 4y + 6. What is y?
  23. 23.The sum of three consecutive whole numbers is 90. What is the smallest of them?
  24. 24.Solve: y/2 + y/6 = 8. What is y?
  25. 25.Solve: 9y + 16 = y + 128. What is y?
  26. 26.Solve: 8x + 8 = 7x + 10. What is x?
  27. 27.The sum of three consecutive whole numbers is 111. What is the largest of them?
  28. 28.A father is 30 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  29. 29.Solve: x/5 + x/3 = 56. What is x?
  30. 30.Solve: t/4 + t/2 = 6. What is t?
  31. 31.Solve: x/3 + x/5 = 40. What is x?
  32. 32.A father is 30 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  33. 33.The length of a rectangle is 13 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  34. 34.Solve: 4(n − 5) = 2n + 6. What is n?
  35. 35.Solve: y/4 + y/2 = 3. What is y?
  36. 36.The sum of three consecutive whole numbers is 144. What is the largest of them?
  37. 37.Solve: 6(y − 3) = y + 17. What is y?
  38. 38.The sum of three consecutive whole numbers is 24. What is the largest of them?
  39. 39.The sum of four consecutive whole numbers is 246. What is the smallest of them?
  40. 40.Solve: 3(y − 3) = y + 19. What is y?

Answer key

  1. 30
  2. 9
  3. 12
  4. 36
  5. 11
  6. 18
  7. 11
  8. 1
  9. 14
  10. 20
  11. 90
  12. 3
  13. 8
  14. 14
  15. 10
  16. 10
  17. 9
  18. 13
  19. 39
  20. 40
  21. 30
  22. 12
  23. 29
  24. 12
  25. 14
  26. 2
  27. 38
  28. 5
  29. 105
  30. 8
  31. 75
  32. 8
  33. 13
  34. 13
  35. 4
  36. 49
  37. 7
  38. 9
  39. 60
  40. 14

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