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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 275 · 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: 5(y − 1) = 2y + 37. What is y?
  2. 2.Solve: t/5 + t/4 = 54. What is t?
  3. 3.The length of a rectangle is 14 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  4. 4.The sum of four consecutive whole numbers is 90. What is the largest of them?
  5. 5.Solve: 4x + 12 = 2x + 14. What is x?
  6. 6.Solve: 3(t − 2) = 2t + 12. What is t?
  7. 7.A father is 8 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  8. 8.Solve: 4x + 17 = 2x + 47. What is x?
  9. 9.The length of a rectangle is 3 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  10. 10.The length of a rectangle is 14 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  11. 11.The length of a rectangle is 9 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  12. 12.The sum of three consecutive whole numbers is 24. What is the largest of them?
  13. 13.Solve: 6(p − 3) = 2p + 30. What is p?
  14. 14.Solve: 3m + 4 = 2m + 6. What is m?
  15. 15.The length of a rectangle is 14 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  16. 16.The length of a rectangle is 9 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  17. 17.The sum of three consecutive whole numbers is 162. What is the largest of them?
  18. 18.Solve: 5(t − 3) = 2t + 12. What is t?
  19. 19.Solve: n/5 + n/4 = 9. What is n?
  20. 20.The sum of two consecutive whole numbers is 59. What is the smallest of them?
  21. 21.The length of a rectangle is 4 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
  22. 22.Solve: 4(t − 1) = t + 20. What is t?
  23. 23.Solve: 3t + 18 = 2t + 19. What is t?
  24. 24.A father is 42 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  25. 25.Solve: p/4 + p/6 = 10. What is p?
  26. 26.The length of a rectangle is 3 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  27. 27.Solve: 3t + 4 = 2t + 11. What is t?
  28. 28.Solve: m/4 + m/5 = 9. What is m?
  29. 29.A father is 45 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  30. 30.Solve: 5(y − 1) = y + 31. What is y?
  31. 31.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?
  32. 32.Solve: t/2 + t/3 = 25. What is t?
  33. 33.Solve: 8p + 14 = p + 98. What is p?
  34. 34.A father is 30 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  35. 35.Solve: 3(y − 5) = y + 15. What is y?
  36. 36.Solve: 5(y − 1) = y + 19. What is y?
  37. 37.Solve: 4y + 7 = y + 13. What is y?
  38. 38.A father is 18 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?
  39. 39.Solve: 6(n − 1) = 5n + 10. What is n?
  40. 40.Solve: 3p + 15 = 2p + 27. What is p?

Answer key

  1. 14
  2. 120
  3. 4
  4. 24
  5. 1
  6. 18
  7. 2
  8. 15
  9. 12
  10. 3
  11. 19
  12. 9
  13. 12
  14. 2
  15. 10
  16. 6
  17. 55
  18. 9
  19. 20
  20. 29
  21. 3
  22. 8
  23. 1
  24. 10
  25. 24
  26. 6
  27. 7
  28. 20
  29. 11
  30. 9
  31. 9
  32. 30
  33. 12
  34. 9
  35. 15
  36. 6
  37. 2
  38. 5
  39. 16
  40. 12

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