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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 188 · 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(p − 4) = 2p + 1. What is p?
  2. 2.Solve: 5(m − 1) = 3m + 7. What is m?
  3. 3.The length of a rectangle is 7 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  4. 4.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?
  5. 5.Solve: 6(t − 5) = t + 15. What is t?
  6. 6.A father is 33 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?
  7. 7.The sum of four consecutive whole numbers is 222. What is the largest of them?
  8. 8.Solve: y/6 + y/5 = 11. What is y?
  9. 9.Solve: t/4 + t/3 = 49. What is t?
  10. 10.The sum of three consecutive whole numbers is 93. What is the largest of them?
  11. 11.A father is 36 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  12. 12.The sum of four consecutive whole numbers is 214. What is the smallest of them?
  13. 13.Solve: m/5 + m/4 = 9. What is m?
  14. 14.Solve: 5p + 13 = p + 25. What is p?
  15. 15.The sum of two consecutive whole numbers is 75. What is the smallest of them?
  16. 16.Solve: 6(p − 2) = 2p + 8. What is p?
  17. 17.A father is 16 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  18. 18.Solve: 4(n − 1) = 2n + 14. What is n?
  19. 19.Solve: 5t + 20 = 3t + 48. What is t?
  20. 20.The sum of two consecutive whole numbers is 95. What is the largest of them?
  21. 21.Solve: 3(m − 4) = 2m + 4. What is m?
  22. 22.Solve: 9m + 9 = 2m + 72. What is m?
  23. 23.Solve: x/3 + x/2 = 5. What is x?
  24. 24.The sum of two consecutive whole numbers is 107. What is the smallest of them?
  25. 25.Solve: x/3 + x/6 = 12. What is x?
  26. 26.Solve: 3(t − 1) = 2t + 8. What is t?
  27. 27.Solve: 4(y − 4) = 3y + 7. What is y?
  28. 28.A father is 42 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  29. 29.The length of a rectangle is 7 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  30. 30.A father is 13 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  31. 31.Solve: 6m + 19 = 2m + 23. What is m?
  32. 32.Solve: 8n + 17 = n + 52. What is n?
  33. 33.Solve: 6n + 16 = n + 56. What is n?
  34. 34.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  35. 35.A father is 16 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  36. 36.Solve: 7y + 4 = 6y + 17. What is y?
  37. 37.The length of a rectangle is 14 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  38. 38.A father is 10 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  39. 39.Solve: 4y + 14 = 3y + 26. What is y?
  40. 40.Solve: n/3 + n/2 = 25. What is n?

Answer key

  1. 7
  2. 6
  3. 17
  4. 9
  5. 9
  6. 10
  7. 57
  8. 30
  9. 84
  10. 32
  11. 9
  12. 52
  13. 20
  14. 3
  15. 37
  16. 5
  17. 8
  18. 9
  19. 14
  20. 48
  21. 16
  22. 9
  23. 6
  24. 53
  25. 24
  26. 11
  27. 23
  28. 12
  29. 27
  30. 5
  31. 1
  32. 5
  33. 8
  34. 11
  35. 4
  36. 13
  37. 4
  38. 4
  39. 12
  40. 30

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