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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 298 · 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: 8t + 1 = 2t + 37. What is t?
  2. 2.Solve: 6p + 13 = 5p + 15. What is p?
  3. 3.The length of a rectangle is 6 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  4. 4.Solve: 9m + 12 = 3m + 84. What is m?
  5. 5.Solve: 4(y − 5) = 3y + 3. What is y?
  6. 6.Solve: x/5 + x/6 = 55. What is x?
  7. 7.Solve: x/2 + x/6 = 16. What is x?
  8. 8.Solve: 3p + 20 = 2p + 23. What is p?
  9. 9.Solve: 6x + 20 = 2x + 24. What is x?
  10. 10.A father is 51 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?
  11. 11.Solve: 5(m − 2) = 2m + 38. What is m?
  12. 12.Solve: p/6 + p/5 = 77. What is p?
  13. 13.Solve: y/3 + y/2 = 5. What is y?
  14. 14.Solve: 3(t − 2) = 2t + 8. What is t?
  15. 15.Solve: 3(n − 1) = 2n + 2. What is n?
  16. 16.A father is 7 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  17. 17.The sum of four consecutive whole numbers is 86. What is the largest of them?
  18. 18.Solve: 7y + 13 = 6y + 15. What is y?
  19. 19.Solve: 3t + 6 = 2t + 12. What is t?
  20. 20.The length of a rectangle is 13 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  21. 21.The length of a rectangle is 6 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  22. 22.Solve: 3(x − 5) = x + 13. What is x?
  23. 23.Solve: y/3 + y/6 = 24. What is y?
  24. 24.The sum of four consecutive whole numbers is 202. What is the largest of them?
  25. 25.A father is 11 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  26. 26.Solve: 4(x − 2) = 2x + 10. What is x?
  27. 27.Solve: 6(t − 1) = t + 49. What is t?
  28. 28.A father is 32 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?
  29. 29.The sum of three consecutive whole numbers is 54. What is the largest of them?
  30. 30.Solve: n/4 + n/3 = 7. What is n?
  31. 31.Solve: y/2 + y/3 = 15. What is y?
  32. 32.Solve: 5(t − 1) = 4t + 7. What is t?
  33. 33.A father is 28 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?
  34. 34.The length of a rectangle is 4 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  35. 35.Solve: 5(t − 4) = 3t + 10. What is t?
  36. 36.Solve: 8x + 18 = 4x + 38. What is x?
  37. 37.Solve: 6(p − 4) = 3p + 18. What is p?
  38. 38.The sum of three consecutive whole numbers is 168. What is the smallest of them?
  39. 39.The length of a rectangle is 6 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  40. 40.Solve: 5t + 8 = 4t + 13. What is t?

Answer key

  1. 6
  2. 2
  3. 19
  4. 12
  5. 23
  6. 150
  7. 24
  8. 3
  9. 1
  10. 12
  11. 16
  12. 210
  13. 6
  14. 14
  15. 5
  16. 3
  17. 23
  18. 2
  19. 6
  20. 9
  21. 5
  22. 14
  23. 48
  24. 52
  25. 9
  26. 9
  27. 11
  28. 12
  29. 19
  30. 12
  31. 18
  32. 12
  33. 10
  34. 12
  35. 15
  36. 5
  37. 14
  38. 55
  39. 14
  40. 5

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