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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 943 · 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: t/3 + t/6 = 3. What is t?
  2. 2.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?
  3. 3.Solve: 3(p − 4) = p + 10. What is p?
  4. 4.The length of a rectangle is 7 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  5. 5.Solve: p/4 + p/6 = 20. What is p?
  6. 6.Solve: 7n + 18 = n + 66. What is n?
  7. 7.A father is 48 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  8. 8.A father is 14 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  9. 9.A father is 20 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?
  10. 10.Solve: 3(p − 4) = 2p + 3. What is p?
  11. 11.Solve: t/3 + t/2 = 30. What is t?
  12. 12.Solve: 5x + 5 = 2x + 17. What is x?
  13. 13.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?
  14. 14.The sum of three consecutive whole numbers is 48. What is the largest of them?
  15. 15.The length of a rectangle is 3 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  16. 16.Solve: m/2 + m/5 = 28. What is m?
  17. 17.Solve: 6y + 16 = y + 76. What is y?
  18. 18.Solve: 3(m − 2) = m + 10. What is m?
  19. 19.Solve: 3(p − 5) = 2p + 11. What is p?
  20. 20.Solve: n/6 + n/4 = 10. What is n?
  21. 21.The sum of four consecutive whole numbers is 170. What is the largest of them?
  22. 22.Solve: 5(x − 5) = 3x + 13. What is x?
  23. 23.The length of a rectangle is 12 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  24. 24.Solve: 9p + 6 = 6p + 24. What is p?
  25. 25.Solve: 9m + 9 = 3m + 99. What is m?
  26. 26.Solve: 5(n − 3) = n + 25. What is n?
  27. 27.The length of a rectangle is 15 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  28. 28.The length of a rectangle is 12 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  29. 29.Solve: 6m + 19 = 5m + 30. What is m?
  30. 30.The sum of four consecutive whole numbers is 98. What is the largest of them?
  31. 31.Solve: 5n + 10 = 2n + 13. What is n?
  32. 32.A father is 42 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  33. 33.Solve: 7t + 5 = 2t + 65. What is t?
  34. 34.The sum of three consecutive whole numbers is 24. What is the smallest of them?
  35. 35.The length of a rectangle is 7 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  36. 36.Solve: 4t + 5 = 3t + 11. What is t?
  37. 37.Solve: p/4 + p/3 = 35. What is p?
  38. 38.Solve: p/5 + p/6 = 55. What is p?
  39. 39.The sum of four consecutive whole numbers is 146. What is the largest of them?
  40. 40.Solve: 5n + 2 = 4n + 6. What is n?

Answer key

  1. 6
  2. 6
  3. 11
  4. 10
  5. 48
  6. 8
  7. 8
  8. 11
  9. 3
  10. 15
  11. 36
  12. 4
  13. 5
  14. 17
  15. 5
  16. 40
  17. 12
  18. 8
  19. 26
  20. 24
  21. 44
  22. 19
  23. 22
  24. 6
  25. 15
  26. 10
  27. 21
  28. 7
  29. 11
  30. 26
  31. 1
  32. 7
  33. 12
  34. 7
  35. 29
  36. 6
  37. 60
  38. 150
  39. 38
  40. 4

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