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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 588 · 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: 4n + 12 = 3n + 19. What is n?
  2. 2.Solve: y/2 + y/5 = 49. What is y?
  3. 3.The sum of three consecutive whole numbers is 27. What is the smallest of them?
  4. 4.The length of a rectangle is 1 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  5. 5.Solve: 9t + 4 = t + 84. What is t?
  6. 6.A father is 38 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?
  7. 7.A father is 18 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  8. 8.The length of a rectangle is 6 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  9. 9.A father is 10 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  10. 10.Solve: 3(y − 2) = 2y + 9. What is y?
  11. 11.The sum of four consecutive whole numbers is 90. What is the smallest of them?
  12. 12.Solve: y/4 + y/2 = 21. What is y?
  13. 13.A father is 20 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  14. 14.The length of a rectangle is 1 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  15. 15.Solve: 3(n − 1) = 2n + 6. What is n?
  16. 16.The length of a rectangle is 10 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  17. 17.Solve: 3(y − 2) = 2y + 4. What is y?
  18. 18.Solve: x/6 + x/3 = 6. What is x?
  19. 19.A father is 24 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  20. 20.Solve: 3(n − 5) = 2n + 9. What is n?
  21. 21.The length of a rectangle is 14 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  22. 22.Solve: t/3 + t/5 = 40. What is t?
  23. 23.Solve: 4y + 11 = y + 47. What is y?
  24. 24.Solve: 5(x − 2) = 3x + 12. What is x?
  25. 25.The sum of two consecutive whole numbers is 17. What is the largest of them?
  26. 26.The length of a rectangle is 4 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  27. 27.Solve: x/2 + x/3 = 10. What is x?
  28. 28.Solve: x/3 + x/4 = 28. What is x?
  29. 29.Solve: 9x + 12 = 3x + 18. What is x?
  30. 30.Solve: 3p + 9 = 2p + 16. What is p?
  31. 31.Solve: x/3 + x/6 = 21. What is x?
  32. 32.Solve: t/2 + t/3 = 40. What is t?
  33. 33.The length of a rectangle is 14 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  34. 34.Solve: 8y + 6 = 6y + 28. What is y?
  35. 35.Solve: x/3 + x/5 = 24. What is x?
  36. 36.The sum of four consecutive whole numbers is 210. What is the smallest of them?
  37. 37.A father is 20 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  38. 38.Solve: 5(p − 1) = p + 23. What is p?
  39. 39.The length of a rectangle is 5 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  40. 40.Solve: 4(m − 3) = 3m + 12. What is m?

Answer key

  1. 7
  2. 70
  3. 8
  4. 23
  5. 10
  6. 11
  7. 12
  8. 26
  9. 9
  10. 15
  11. 21
  12. 28
  13. 9
  14. 19
  15. 9
  16. 15
  17. 10
  18. 12
  19. 8
  20. 24
  21. 20
  22. 75
  23. 12
  24. 11
  25. 9
  26. 17
  27. 12
  28. 48
  29. 1
  30. 7
  31. 42
  32. 48
  33. 11
  34. 11
  35. 45
  36. 51
  37. 6
  38. 7
  39. 14
  40. 24

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