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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 647 · 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/3 = 56. What is x?
  2. 2.The sum of two consecutive whole numbers is 79. What is the smallest of them?
  3. 3.Solve: n/6 + n/3 = 9. What is n?
  4. 4.Solve: 9n + 8 = 7n + 12. What is n?
  5. 5.Solve: 3m + 8 = 2m + 12. What is m?
  6. 6.Solve: 4y + 2 = y + 5. What is y?
  7. 7.The sum of four consecutive whole numbers is 70. What is the largest of them?
  8. 8.Solve: t/6 + t/5 = 11. What is t?
  9. 9.Solve: 6y + 3 = 4y + 17. What is y?
  10. 10.Solve: y/3 + y/4 = 14. What is y?
  11. 11.Solve: n/5 + n/2 = 42. What is n?
  12. 12.Solve: 9x + 20 = 8x + 34. What is x?
  13. 13.The length of a rectangle is 9 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  14. 14.Solve: 6(m − 3) = m + 32. What is m?
  15. 15.The length of a rectangle is 7 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  16. 16.Solve: 9p + 4 = 2p + 95. What is p?
  17. 17.Solve: 6y + 3 = 3y + 45. What is y?
  18. 18.Solve: 7t + 12 = 4t + 48. What is t?
  19. 19.Solve: t/2 + t/3 = 30. What is t?
  20. 20.The length of a rectangle is 15 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  21. 21.Solve: 3(p − 2) = 2p + 5. What is p?
  22. 22.The sum of four consecutive whole numbers is 94. What is the largest of them?
  23. 23.A father is 30 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?
  24. 24.Solve: 4t + 3 = 3t + 6. What is t?
  25. 25.The length of a rectangle is 4 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  26. 26.Solve: 4(m − 3) = 3m + 5. What is m?
  27. 27.Solve: p/2 + p/4 = 21. What is p?
  28. 28.Solve: m/3 + m/6 = 6. What is m?
  29. 29.Solve: 5(y − 1) = 2y + 34. What is y?
  30. 30.Solve: 3m + 10 = m + 22. What is m?
  31. 31.A father is 8 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  32. 32.A father is 22 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  33. 33.Solve: 6(m − 5) = m + 45. What is m?
  34. 34.Solve: p/6 + p/2 = 28. What is p?
  35. 35.The length of a rectangle is 10 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  36. 36.Solve: m/4 + m/5 = 63. What is m?
  37. 37.The sum of four consecutive whole numbers is 218. What is the largest of them?
  38. 38.The length of a rectangle is 2 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  39. 39.A father is 12 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  40. 40.Solve: 5(n − 1) = 4n + 12. What is n?

Answer key

  1. 96
  2. 39
  3. 18
  4. 2
  5. 4
  6. 1
  7. 19
  8. 30
  9. 7
  10. 24
  11. 60
  12. 14
  13. 22
  14. 10
  15. 20
  16. 13
  17. 14
  18. 12
  19. 36
  20. 12
  21. 11
  22. 25
  23. 3
  24. 3
  25. 9
  26. 17
  27. 28
  28. 12
  29. 13
  30. 6
  31. 5
  32. 3
  33. 15
  34. 42
  35. 7
  36. 140
  37. 56
  38. 10
  39. 4
  40. 17

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