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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 143 · 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: y/5 + y/3 = 24. What is y?
  2. 2.The sum of two consecutive whole numbers is 51. What is the largest of them?
  3. 3.Solve: x/6 + x/3 = 12. What is x?
  4. 4.Solve: p/5 + p/3 = 56. What is p?
  5. 5.Solve: 3(m − 2) = 2m + 6. What is m?
  6. 6.The length of a rectangle is 4 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  7. 7.Solve: 3(t − 2) = 2t + 4. What is t?
  8. 8.Solve: 4(x − 1) = 3x + 8. What is x?
  9. 9.Solve: 9y + 3 = 4y + 53. What is y?
  10. 10.A father is 20 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  11. 11.Solve: 5(y − 3) = 2y + 39. What is y?
  12. 12.Solve: 3(t − 1) = t + 21. What is t?
  13. 13.Solve: 6(t − 3) = 4t + 26. What is t?
  14. 14.Solve: m/4 + m/5 = 27. What is m?
  15. 15.Solve: 4y + 19 = 2y + 21. What is y?
  16. 16.Solve: 4(p − 4) = 2p + 22. What is p?
  17. 17.The sum of four consecutive whole numbers is 146. What is the largest of them?
  18. 18.A father is 9 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  19. 19.The length of a rectangle is 13 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  20. 20.Solve: 8n + 3 = 2n + 75. What is n?
  21. 21.Solve: x/2 + x/3 = 30. What is x?
  22. 22.The sum of two consecutive whole numbers is 39. What is the largest of them?
  23. 23.Solve: t/4 + t/6 = 5. What is t?
  24. 24.The sum of three consecutive whole numbers is 57. What is the smallest of them?
  25. 25.Solve: x/5 + x/4 = 63. What is x?
  26. 26.A father is 12 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?
  27. 27.Solve: 5p + 7 = 4p + 16. What is p?
  28. 28.The length of a rectangle is 9 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  29. 29.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  30. 30.A father is 18 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?
  31. 31.Solve: m/3 + m/2 = 15. What is m?
  32. 32.The length of a rectangle is 13 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  33. 33.Solve: 4(m − 4) = 2m + 24. What is m?
  34. 34.A father is 11 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  35. 35.Solve: 9p + 8 = 2p + 22. What is p?
  36. 36.Solve: 3(x − 1) = 2x + 13. What is x?
  37. 37.The sum of four consecutive whole numbers is 154. What is the largest of them?
  38. 38.Solve: 3(p − 5) = p + 19. What is p?
  39. 39.Solve: 3(m − 2) = 2m + 1. What is m?
  40. 40.A father is 12 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 45
  2. 26
  3. 24
  4. 105
  5. 12
  6. 7
  7. 10
  8. 12
  9. 10
  10. 2
  11. 18
  12. 12
  13. 22
  14. 60
  15. 1
  16. 19
  17. 38
  18. 3
  19. 8
  20. 12
  21. 36
  22. 20
  23. 12
  24. 18
  25. 140
  26. 5
  27. 9
  28. 26
  29. 11
  30. 2
  31. 18
  32. 12
  33. 20
  34. 5
  35. 2
  36. 16
  37. 40
  38. 17
  39. 7
  40. 7

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