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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 777 · 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: 9p + 11 = 3p + 89. What is p?
  2. 2.Solve: p/6 + p/2 = 16. What is p?
  3. 3.Solve: 8x + 9 = 2x + 51. What is x?
  4. 4.Solve: y/3 + y/6 = 21. What is y?
  5. 5.Solve: 6(x − 3) = x + 57. What is x?
  6. 6.Solve: 6(t − 1) = 5t + 12. What is t?
  7. 7.Solve: 6(p − 3) = 2p + 34. What is p?
  8. 8.Solve: t/6 + t/2 = 16. What is t?
  9. 9.The sum of two consecutive whole numbers is 61. What is the largest of them?
  10. 10.The sum of four consecutive whole numbers is 102. What is the largest of them?
  11. 11.The length of a rectangle is 9 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  12. 12.Solve: 6(t − 3) = 3t + 33. What is t?
  13. 13.Solve: m/4 + m/2 = 3. What is m?
  14. 14.The length of a rectangle is 10 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  15. 15.Solve: 6(x − 2) = 3x + 33. What is x?
  16. 16.The sum of three consecutive whole numbers is 39. What is the largest of them?
  17. 17.The length of a rectangle is 10 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  18. 18.Solve: p/2 + p/6 = 8. What is p?
  19. 19.The length of a rectangle is 12 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  20. 20.A father is 24 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  21. 21.A father is 12 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  22. 22.Solve: 5(m − 5) = 3m + 21. What is m?
  23. 23.Solve: 3(p − 3) = p + 3. What is p?
  24. 24.A father is 12 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  25. 25.The length of a rectangle is 9 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  26. 26.Solve: 4(t − 3) = 3t + 5. What is t?
  27. 27.Solve: x/4 + x/5 = 63. What is x?
  28. 28.A father is 14 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  29. 29.The sum of two consecutive whole numbers is 67. What is the smallest of them?
  30. 30.The length of a rectangle is 4 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  31. 31.Solve: n/4 + n/3 = 49. What is n?
  32. 32.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  33. 33.The sum of four consecutive whole numbers is 146. What is the smallest of them?
  34. 34.Solve: 8y + 20 = 4y + 48. What is y?
  35. 35.Solve: 5(p − 1) = p + 7. What is p?
  36. 36.The length of a rectangle is 1 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  37. 37.Solve: 3y + 10 = 2y + 12. What is y?
  38. 38.The sum of four consecutive whole numbers is 206. What is the largest of them?
  39. 39.Solve: 7x + 3 = 2x + 58. What is x?
  40. 40.A father is 30 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?

Answer key

  1. 13
  2. 24
  3. 7
  4. 42
  5. 15
  6. 18
  7. 13
  8. 24
  9. 31
  10. 27
  11. 9
  12. 17
  13. 4
  14. 14
  15. 15
  16. 14
  17. 25
  18. 12
  19. 20
  20. 7
  21. 9
  22. 23
  23. 6
  24. 11
  25. 22
  26. 17
  27. 140
  28. 7
  29. 33
  30. 5
  31. 84
  32. 2
  33. 35
  34. 7
  35. 3
  36. 14
  37. 2
  38. 53
  39. 11
  40. 12

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