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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 19 · 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 length of a rectangle is 10 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  2. 2.Solve: 5t + 12 = 4t + 14. What is t?
  3. 3.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  4. 4.Solve: 4(t − 4) = 2t + 22. What is t?
  5. 5.The sum of two consecutive whole numbers is 119. What is the smallest of them?
  6. 6.Solve: 4(y − 2) = y + 19. What is y?
  7. 7.Solve: 3n + 2 = 2n + 12. What is n?
  8. 8.A father is 12 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  9. 9.The sum of four consecutive whole numbers is 190. What is the largest of them?
  10. 10.Solve: 6(t − 2) = 4t + 8. What is t?
  11. 11.The sum of three consecutive whole numbers is 66. What is the smallest of them?
  12. 12.Solve: 8t + 2 = 5t + 17. What is t?
  13. 13.Solve: 3p + 5 = p + 13. What is p?
  14. 14.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?
  15. 15.The sum of three consecutive whole numbers is 30. What is the smallest of them?
  16. 16.Solve: m/2 + m/4 = 9. What is m?
  17. 17.Solve: 6(p − 2) = 4p + 16. What is p?
  18. 18.Solve: 3(m − 2) = 2m + 13. What is m?
  19. 19.Solve: 4x + 6 = x + 42. What is x?
  20. 20.The length of a rectangle is 1 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  21. 21.Solve: 5x + 1 = 4x + 14. What is x?
  22. 22.Solve: y/4 + y/6 = 40. What is y?
  23. 23.A father is 17 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  24. 24.A father is 33 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  25. 25.Solve: x/2 + x/4 = 9. What is x?
  26. 26.Solve: n/3 + n/5 = 8. What is n?
  27. 27.Solve: n/5 + n/2 = 14. What is n?
  28. 28.The sum of two consecutive whole numbers is 59. What is the smallest of them?
  29. 29.The length of a rectangle is 3 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  30. 30.Solve: y/3 + y/6 = 24. What is y?
  31. 31.Solve: 4(p − 2) = 2p + 16. What is p?
  32. 32.A father is 21 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?
  33. 33.Solve: 5(y − 2) = y + 14. What is y?
  34. 34.Solve: 3(n − 1) = 2n + 3. What is n?
  35. 35.The length of a rectangle is 1 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  36. 36.Solve: 5(t − 4) = 2t + 1. What is t?
  37. 37.The length of a rectangle is 1 cm more than its width. Its perimeter is 10 cm. What is its width (in cm)?
  38. 38.Solve: y/3 + y/5 = 32. What is y?
  39. 39.Solve: 4m + 6 = 2m + 34. What is m?
  40. 40.The length of a rectangle is 14 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?

Answer key

  1. 19
  2. 2
  3. 8
  4. 19
  5. 59
  6. 9
  7. 10
  8. 10
  9. 49
  10. 10
  11. 21
  12. 5
  13. 4
  14. 7
  15. 9
  16. 12
  17. 14
  18. 19
  19. 12
  20. 22
  21. 13
  22. 96
  23. 11
  24. 9
  25. 12
  26. 15
  27. 20
  28. 29
  29. 23
  30. 48
  31. 12
  32. 2
  33. 6
  34. 6
  35. 11
  36. 7
  37. 2
  38. 60
  39. 14
  40. 14

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