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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 852 · 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 62. What is the smallest of them?
  2. 2.Solve: n/2 + n/5 = 7. What is n?
  3. 3.Solve: n/3 + n/5 = 8. What is n?
  4. 4.Solve: 4y + 10 = y + 43. What is y?
  5. 5.A father is 22 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?
  6. 6.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  7. 7.The sum of two consecutive whole numbers is 79. What is the smallest of them?
  8. 8.The length of a rectangle is 9 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  9. 9.Solve: m/4 + m/2 = 3. What is m?
  10. 10.Solve: 3y + 10 = 2y + 19. What is y?
  11. 11.The length of a rectangle is 8 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  12. 12.The length of a rectangle is 7 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  13. 13.The length of a rectangle is 13 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  14. 14.Solve: y/2 + y/5 = 21. What is y?
  15. 15.Solve: m/5 + m/3 = 24. What is m?
  16. 16.Solve: 9p + 3 = 2p + 24. What is p?
  17. 17.Solve: y/2 + y/6 = 20. What is y?
  18. 18.The sum of four consecutive whole numbers is 170. What is the largest of them?
  19. 19.Solve: 7t + 15 = 3t + 63. What is t?
  20. 20.Solve: 6(p − 4) = 4p + 8. What is p?
  21. 21.A father is 11 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  22. 22.Solve: 8t + 20 = 3t + 70. What is t?
  23. 23.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  24. 24.A father is 17 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  25. 25.Solve: 4y + 8 = 3y + 21. What is y?
  26. 26.Solve: 6(y − 2) = 2y + 12. What is y?
  27. 27.Solve: 4(x − 3) = 2x + 12. What is x?
  28. 28.The length of a rectangle is 7 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  29. 29.Solve: m/4 + m/3 = 7. What is m?
  30. 30.Solve: p/4 + p/5 = 9. What is p?
  31. 31.Solve: 4(n − 3) = n + 3. What is n?
  32. 32.Solve: 4x + 11 = 3x + 12. What is x?
  33. 33.The length of a rectangle is 11 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  34. 34.Solve: 5(n − 4) = 2n + 7. What is n?
  35. 35.Solve: 8t + 10 = t + 73. What is t?
  36. 36.Solve: p/2 + p/5 = 49. What is p?
  37. 37.The length of a rectangle is 11 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  38. 38.Solve: y/4 + y/2 = 3. What is y?
  39. 39.Solve: m/6 + m/2 = 16. What is m?
  40. 40.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?

Answer key

  1. 14
  2. 10
  3. 15
  4. 11
  5. 5
  6. 7
  7. 39
  8. 25
  9. 4
  10. 9
  11. 20
  12. 26
  13. 9
  14. 30
  15. 45
  16. 3
  17. 30
  18. 44
  19. 12
  20. 16
  21. 7
  22. 10
  23. 11
  24. 9
  25. 13
  26. 6
  27. 12
  28. 28
  29. 12
  30. 20
  31. 5
  32. 1
  33. 10
  34. 9
  35. 9
  36. 70
  37. 12
  38. 4
  39. 24
  40. 8

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