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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 75 · 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: 8x + 12 = 2x + 24. What is x?
  2. 2.Solve: 7t + 4 = 5t + 14. What is t?
  3. 3.The length of a rectangle is 14 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  4. 4.The length of a rectangle is 1 cm more than its width. Its perimeter is 10 cm. What is its width (in cm)?
  5. 5.A father is 36 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  6. 6.A father is 10 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  7. 7.Solve: 4(m − 1) = m + 17. What is m?
  8. 8.Solve: 3t + 9 = 2t + 19. What is t?
  9. 9.Solve: 4(x − 1) = 3x + 7. What is x?
  10. 10.The length of a rectangle is 13 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  11. 11.Solve: 5p + 20 = 4p + 22. What is p?
  12. 12.Solve: x/5 + x/4 = 54. What is x?
  13. 13.The sum of three consecutive whole numbers is 90. What is the largest of them?
  14. 14.The sum of three consecutive whole numbers is 183. What is the smallest of them?
  15. 15.The length of a rectangle is 9 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  16. 16.Solve: 4(t − 5) = t + 28. What is t?
  17. 17.A father is 24 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?
  18. 18.The length of a rectangle is 15 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  19. 19.A father is 8 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  20. 20.Solve: 3(m − 3) = m + 19. What is m?
  21. 21.The sum of two consecutive whole numbers is 77. What is the largest of them?
  22. 22.The length of a rectangle is 8 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  23. 23.Solve: 4(n − 1) = 2n + 12. What is n?
  24. 24.Solve: 6(y − 1) = y + 39. What is y?
  25. 25.Solve: x/6 + x/2 = 32. What is x?
  26. 26.Solve: 6y + 10 = 2y + 50. What is y?
  27. 27.The length of a rectangle is 7 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  28. 28.Solve: t/2 + t/4 = 18. What is t?
  29. 29.Solve: 5x + 15 = 4x + 20. What is x?
  30. 30.The sum of two consecutive whole numbers is 17. What is the smallest of them?
  31. 31.Solve: 4(p − 4) = 2p + 8. What is p?
  32. 32.The length of a rectangle is 4 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  33. 33.Solve: n/2 + n/5 = 14. What is n?
  34. 34.Solve: 5x + 2 = 4x + 17. What is x?
  35. 35.A father is 36 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  36. 36.Solve: x/6 + x/3 = 12. What is x?
  37. 37.Solve: 5(n − 2) = 4n + 7. What is n?
  38. 38.Solve: 9y + 9 = 7y + 39. What is y?
  39. 39.Solve: 5y + 9 = 2y + 21. What is y?
  40. 40.The length of a rectangle is 15 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?

Answer key

  1. 2
  2. 5
  3. 16
  4. 2
  5. 11
  6. 5
  7. 7
  8. 10
  9. 11
  10. 6
  11. 2
  12. 120
  13. 31
  14. 60
  15. 2
  16. 16
  17. 9
  18. 19
  19. 5
  20. 14
  21. 39
  22. 7
  23. 8
  24. 9
  25. 48
  26. 10
  27. 14
  28. 24
  29. 5
  30. 8
  31. 12
  32. 22
  33. 20
  34. 15
  35. 6
  36. 24
  37. 17
  38. 15
  39. 4
  40. 23

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