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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 757 · 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 four consecutive whole numbers is 194. What is the smallest of them?
  2. 2.The sum of two consecutive whole numbers is 17. What is the largest of them?
  3. 3.Solve: p/5 + p/4 = 27. What is p?
  4. 4.Solve: m/6 + m/2 = 24. What is m?
  5. 5.A father is 26 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  6. 6.A father is 19 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  7. 7.The length of a rectangle is 4 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  8. 8.A father is 40 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?
  9. 9.Solve: y/6 + y/5 = 33. What is y?
  10. 10.Solve: n/6 + n/4 = 15. What is n?
  11. 11.Solve: 7n + 6 = 4n + 42. What is n?
  12. 12.Solve: 4t + 15 = 3t + 20. What is t?
  13. 13.Solve: 5m + 16 = m + 48. What is m?
  14. 14.Solve: 6(p − 3) = 5p + 12. What is p?
  15. 15.The sum of two consecutive whole numbers is 101. What is the largest of them?
  16. 16.Solve: 6(m − 5) = 2m + 50. What is m?
  17. 17.The length of a rectangle is 10 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  18. 18.A father is 39 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?
  19. 19.Solve: 3x + 15 = 2x + 27. What is x?
  20. 20.Solve: 4(m − 2) = 2m + 12. What is m?
  21. 21.Solve: 7t + 4 = 2t + 29. What is t?
  22. 22.Solve: 5p + 4 = p + 36. What is p?
  23. 23.The length of a rectangle is 14 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  24. 24.Solve: 6(y − 3) = 2y + 26. What is y?
  25. 25.Solve: y/6 + y/3 = 9. What is y?
  26. 26.Solve: 5n + 7 = 2n + 52. What is n?
  27. 27.Solve: 3(p − 5) = 2p + 6. What is p?
  28. 28.A father is 28 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?
  29. 29.The length of a rectangle is 6 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  30. 30.Solve: 4(y − 2) = y + 31. What is y?
  31. 31.A father is 12 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  32. 32.The length of a rectangle is 5 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  33. 33.Solve: y/3 + y/2 = 25. What is y?
  34. 34.Solve: 5(m − 4) = 2m + 16. What is m?
  35. 35.Solve: y/2 + y/5 = 28. What is y?
  36. 36.Solve: 3x + 3 = x + 21. What is x?
  37. 37.Solve: 4(p − 3) = p + 33. What is p?
  38. 38.Solve: y/5 + y/2 = 21. What is y?
  39. 39.The sum of two consecutive whole numbers is 71. What is the largest of them?
  40. 40.The length of a rectangle is 14 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?

Answer key

  1. 47
  2. 9
  3. 60
  4. 36
  5. 10
  6. 12
  7. 10
  8. 12
  9. 90
  10. 36
  11. 12
  12. 5
  13. 8
  14. 30
  15. 51
  16. 20
  17. 24
  18. 10
  19. 12
  20. 10
  21. 5
  22. 8
  23. 5
  24. 11
  25. 18
  26. 15
  27. 21
  28. 7
  29. 25
  30. 13
  31. 5
  32. 6
  33. 30
  34. 12
  35. 40
  36. 9
  37. 15
  38. 30
  39. 36
  40. 22

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