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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 507 · 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.A father is 32 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?
  2. 2.Solve: 5(m − 3) = m + 49. What is m?
  3. 3.Solve: 6p + 7 = 5p + 13. What is p?
  4. 4.A father is 15 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: 3(t − 5) = t + 19. What is t?
  6. 6.Solve: 3(n − 2) = 2n + 10. What is n?
  7. 7.Solve: 5(n − 1) = 2n + 37. What is n?
  8. 8.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?
  9. 9.Solve: t/4 + t/6 = 30. What is t?
  10. 10.A father is 6 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  11. 11.The length of a rectangle is 1 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  12. 12.Solve: 3x + 20 = x + 30. What is x?
  13. 13.The sum of three consecutive whole numbers is 147. What is the largest of them?
  14. 14.Solve: 5y + 14 = 3y + 40. What is y?
  15. 15.Solve: p/6 + p/2 = 20. What is p?
  16. 16.Solve: n/4 + n/6 = 5. What is n?
  17. 17.The sum of three consecutive whole numbers is 102. What is the smallest of them?
  18. 18.The sum of four consecutive whole numbers is 86. What is the smallest of them?
  19. 19.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  20. 20.The length of a rectangle is 9 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  21. 21.Solve: 4y + 20 = 2y + 24. What is y?
  22. 22.The sum of two consecutive whole numbers is 91. What is the smallest of them?
  23. 23.Solve: p/5 + p/4 = 54. What is p?
  24. 24.The sum of three consecutive whole numbers is 54. What is the smallest of them?
  25. 25.A father is 34 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?
  26. 26.The sum of two consecutive whole numbers is 71. What is the largest of them?
  27. 27.A father is 20 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?
  28. 28.The length of a rectangle is 5 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
  29. 29.A father is 57 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?
  30. 30.A father is 4 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  31. 31.Solve: 5(m − 3) = 2m + 36. What is m?
  32. 32.A father is 21 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?
  33. 33.The length of a rectangle is 2 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  34. 34.Solve: 4(t − 5) = 3t + 11. What is t?
  35. 35.The length of a rectangle is 6 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  36. 36.The length of a rectangle is 15 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  37. 37.The sum of two consecutive whole numbers is 111. What is the largest of them?
  38. 38.A father is 51 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  39. 39.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  40. 40.The sum of four consecutive whole numbers is 106. What is the largest of them?

Answer key

  1. 8
  2. 16
  3. 6
  4. 12
  5. 17
  6. 16
  7. 14
  8. 5
  9. 72
  10. 3
  11. 17
  12. 5
  13. 50
  14. 13
  15. 30
  16. 12
  17. 33
  18. 20
  19. 8
  20. 4
  21. 2
  22. 45
  23. 120
  24. 17
  25. 10
  26. 36
  27. 5
  28. 2
  29. 11
  30. 2
  31. 17
  32. 3
  33. 12
  34. 31
  35. 20
  36. 5
  37. 56
  38. 12
  39. 4
  40. 28

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