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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 944 · 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: 4(p − 1) = 2p + 20. What is p?
  2. 2.The length of a rectangle is 12 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  3. 3.Solve: 6x + 12 = x + 37. What is x?
  4. 4.The length of a rectangle is 10 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  5. 5.Solve: 6(y − 2) = 3y + 27. What is y?
  6. 6.Solve: m/2 + m/6 = 4. What is m?
  7. 7.Solve: 4(p − 5) = 2p + 20. What is p?
  8. 8.Solve: x/3 + x/6 = 21. What is x?
  9. 9.Solve: x/2 + x/4 = 12. What is x?
  10. 10.The sum of two consecutive whole numbers is 71. What is the smallest of them?
  11. 11.Solve: 3(y − 3) = y + 9. What is y?
  12. 12.The length of a rectangle is 9 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  13. 13.Solve: 5p + 2 = p + 26. What is p?
  14. 14.The sum of two consecutive whole numbers is 79. What is the largest of them?
  15. 15.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  16. 16.Solve: 3(y − 2) = y + 20. What is y?
  17. 17.A father is 16 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  18. 18.A father is 21 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?
  19. 19.Solve: 4m + 1 = 2m + 19. What is m?
  20. 20.Solve: 6(x − 2) = 3x + 15. What is x?
  21. 21.Solve: n/5 + n/2 = 28. What is n?
  22. 22.A father is 24 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?
  23. 23.The length of a rectangle is 14 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
  24. 24.Solve: 5(y − 3) = 3y + 21. What is y?
  25. 25.Solve: x/2 + x/5 = 7. What is x?
  26. 26.The sum of four consecutive whole numbers is 246. What is the largest of them?
  27. 27.A father is 22 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?
  28. 28.Solve: 6(x − 4) = 3x + 36. What is x?
  29. 29.Solve: x/4 + x/2 = 12. What is x?
  30. 30.A father is 34 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?
  31. 31.Solve: 5(x − 2) = 4x + 12. What is x?
  32. 32.Solve: 4x + 5 = 3x + 17. What is x?
  33. 33.Solve: 5(p − 5) = p + 47. What is p?
  34. 34.Solve: 3t + 7 = 2t + 11. What is t?
  35. 35.Solve: m/3 + m/4 = 7. What is m?
  36. 36.The length of a rectangle is 9 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  37. 37.Solve: 3(x − 3) = x + 1. What is x?
  38. 38.The sum of two consecutive whole numbers is 27. What is the smallest of them?
  39. 39.The sum of two consecutive whole numbers is 65. What is the smallest of them?
  40. 40.The length of a rectangle is 5 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?

Answer key

  1. 12
  2. 6
  3. 5
  4. 10
  5. 13
  6. 6
  7. 20
  8. 42
  9. 16
  10. 35
  11. 9
  12. 14
  13. 6
  14. 40
  15. 4
  16. 13
  17. 12
  18. 6
  19. 9
  20. 9
  21. 40
  22. 7
  23. 28
  24. 18
  25. 10
  26. 63
  27. 4
  28. 20
  29. 16
  30. 10
  31. 22
  32. 12
  33. 18
  34. 4
  35. 12
  36. 8
  37. 5
  38. 13
  39. 32
  40. 11

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