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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 449 · 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.The sum of three consecutive whole numbers is 45. What is the smallest of them?
  2. 2.A father is 11 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  3. 3.Solve: y/6 + y/2 = 8. What is y?
  4. 4.Solve: p/4 + p/3 = 35. What is p?
  5. 5.Solve: t/2 + t/3 = 30. What is t?
  6. 6.Solve: 6p + 19 = 4p + 33. What is p?
  7. 7.A father is 24 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?
  8. 8.Solve: 3(t − 2) = 2t + 12. What is t?
  9. 9.Solve: n/5 + n/2 = 7. What is n?
  10. 10.A father is 21 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?
  11. 11.Solve: 4(t − 2) = 3t + 12. What is t?
  12. 12.The length of a rectangle is 4 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  13. 13.Solve: 5(x − 2) = x + 42. What is x?
  14. 14.Solve: x/5 + x/3 = 16. What is x?
  15. 15.Solve: p/5 + p/3 = 16. What is p?
  16. 16.Solve: 7p + 13 = 6p + 19. What is p?
  17. 17.Solve: 9t + 12 = 2t + 26. What is t?
  18. 18.The length of a rectangle is 9 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  19. 19.A father is 16 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?
  20. 20.Solve: x/5 + x/6 = 88. What is x?
  21. 21.A father is 33 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?
  22. 22.Solve: p/4 + p/2 = 9. What is p?
  23. 23.Solve: 7y + 16 = y + 70. What is y?
  24. 24.Solve: y/6 + y/3 = 18. What is y?
  25. 25.The sum of three consecutive whole numbers is 78. What is the largest of them?
  26. 26.The length of a rectangle is 2 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  27. 27.The length of a rectangle is 6 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  28. 28.Solve: n/6 + n/3 = 18. What is n?
  29. 29.The length of a rectangle is 5 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  30. 30.Solve: 5t + 20 = t + 80. What is t?
  31. 31.The sum of four consecutive whole numbers is 30. What is the smallest of them?
  32. 32.Solve: 8x + 18 = 3x + 28. What is x?
  33. 33.A father is 6 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  34. 34.The sum of three consecutive whole numbers is 165. What is the smallest of them?
  35. 35.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  36. 36.Solve: 5y + 11 = 3y + 29. What is y?
  37. 37.Solve: 3(n − 1) = 2n + 5. What is n?
  38. 38.A father is 27 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?
  39. 39.The sum of two consecutive whole numbers is 11. What is the largest of them?
  40. 40.Solve: 8y + 6 = 6y + 28. What is y?

Answer key

  1. 14
  2. 7
  3. 12
  4. 60
  5. 36
  6. 7
  7. 8
  8. 18
  9. 10
  10. 5
  11. 20
  12. 4
  13. 13
  14. 30
  15. 30
  16. 6
  17. 2
  18. 10
  19. 7
  20. 240
  21. 8
  22. 12
  23. 9
  24. 36
  25. 27
  26. 7
  27. 29
  28. 36
  29. 29
  30. 15
  31. 6
  32. 2
  33. 2
  34. 54
  35. 3
  36. 9
  37. 8
  38. 6
  39. 6
  40. 11

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