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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 560 · 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: 3p + 12 = p + 24. What is p?
  2. 2.Solve: 4(x − 4) = 2x + 16. What is x?
  3. 3.The sum of two consecutive whole numbers is 45. What is the smallest of them?
  4. 4.The sum of two consecutive whole numbers is 45. What is the largest of them?
  5. 5.The sum of three consecutive whole numbers is 18. What is the largest of them?
  6. 6.Solve: 6(y − 2) = 3y + 6. What is y?
  7. 7.Solve: 3(x − 2) = x + 24. What is x?
  8. 8.The length of a rectangle is 6 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  9. 9.Solve: n/2 + n/4 = 6. What is n?
  10. 10.The length of a rectangle is 6 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  11. 11.Solve: 3(t − 3) = t + 7. What is t?
  12. 12.A father is 11 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  13. 13.Solve: x/5 + x/3 = 16. What is x?
  14. 14.The length of a rectangle is 4 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  15. 15.A father is 17 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  16. 16.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  17. 17.The sum of two consecutive whole numbers is 31. What is the smallest of them?
  18. 18.Solve: m/2 + m/4 = 3. What is m?
  19. 19.Solve: 3p + 2 = 2p + 4. What is p?
  20. 20.The length of a rectangle is 6 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  21. 21.A father is 7 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  22. 22.The sum of three consecutive whole numbers is 87. What is the smallest of them?
  23. 23.The length of a rectangle is 4 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  24. 24.Solve: 7p + 12 = 6p + 21. What is p?
  25. 25.Solve: 7p + 16 = p + 64. What is p?
  26. 26.Solve: 6(t − 5) = 2t + 46. What is t?
  27. 27.Solve: n/2 + n/3 = 5. What is n?
  28. 28.The length of a rectangle is 4 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
  29. 29.The sum of three consecutive whole numbers is 162. What is the largest of them?
  30. 30.Solve: x/2 + x/5 = 21. What is x?
  31. 31.The length of a rectangle is 12 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  32. 32.Solve: 9m + 15 = 5m + 59. What is m?
  33. 33.Solve: m/3 + m/2 = 25. What is m?
  34. 34.Solve: 3t + 5 = t + 33. What is t?
  35. 35.Solve: 3y + 12 = y + 20. What is y?
  36. 36.Solve: 5m + 11 = 4m + 15. What is m?
  37. 37.Solve: 5(y − 3) = y + 41. What is y?
  38. 38.The sum of two consecutive whole numbers is 47. What is the largest of them?
  39. 39.A father is 24 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?
  40. 40.Solve: 6(m − 4) = m + 6. What is m?

Answer key

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

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