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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 558 · 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: 7x + 8 = 2x + 58. What is x?
  2. 2.Solve: y/4 + y/6 = 20. What is y?
  3. 3.Solve: t/5 + t/3 = 16. What is t?
  4. 4.Solve: 5(y − 1) = 4y + 1. What is y?
  5. 5.Solve: 8x + 6 = 6x + 34. What is x?
  6. 6.Solve: y/2 + y/5 = 56. What is y?
  7. 7.Solve: 8x + 6 = 2x + 96. What is x?
  8. 8.Solve: n/3 + n/2 = 5. What is n?
  9. 9.The length of a rectangle is 2 cm more than its width. Its perimeter is 12 cm. What is its width (in cm)?
  10. 10.Solve: x/2 + x/3 = 10. What is x?
  11. 11.A father is 11 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  12. 12.The sum of four consecutive whole numbers is 210. What is the smallest of them?
  13. 13.Solve: n/5 + n/6 = 22. What is n?
  14. 14.The sum of three consecutive whole numbers is 33. What is the smallest of them?
  15. 15.A father is 11 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  16. 16.Solve: 3y + 7 = y + 25. What is y?
  17. 17.Solve: 5(t − 2) = t + 2. What is t?
  18. 18.The sum of three consecutive whole numbers is 42. What is the smallest of them?
  19. 19.Solve: y/2 + y/3 = 10. What is y?
  20. 20.The length of a rectangle is 5 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  21. 21.A father is 8 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  22. 22.The length of a rectangle is 1 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  23. 23.Solve: p/4 + p/3 = 56. What is p?
  24. 24.Solve: 3(n − 1) = n + 3. What is n?
  25. 25.Solve: p/3 + p/5 = 24. What is p?
  26. 26.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?
  27. 27.The sum of four consecutive whole numbers is 30. What is the largest of them?
  28. 28.The length of a rectangle is 4 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  29. 29.Solve: 3(n − 1) = 2n + 12. What is n?
  30. 30.The sum of two consecutive whole numbers is 117. What is the largest of them?
  31. 31.Solve: y/2 + y/5 = 28. What is y?
  32. 32.The sum of four consecutive whole numbers is 38. What is the smallest of them?
  33. 33.Solve: 7n + 2 = 6n + 3. What is n?
  34. 34.Solve: 6(x − 2) = x + 23. What is x?
  35. 35.The length of a rectangle is 4 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  36. 36.Solve: 3(t − 5) = t + 7. What is t?
  37. 37.Solve: 3p + 4 = p + 16. What is p?
  38. 38.Solve: 9p + 3 = 3p + 63. What is p?
  39. 39.Solve: t/2 + t/3 = 20. What is t?
  40. 40.Solve: 4(p − 3) = 3p + 4. What is p?

Answer key

  1. 10
  2. 48
  3. 30
  4. 6
  5. 14
  6. 80
  7. 15
  8. 6
  9. 2
  10. 12
  11. 6
  12. 51
  13. 60
  14. 10
  15. 8
  16. 9
  17. 3
  18. 13
  19. 12
  20. 4
  21. 3
  22. 29
  23. 96
  24. 3
  25. 45
  26. 7
  27. 9
  28. 13
  29. 15
  30. 59
  31. 40
  32. 8
  33. 1
  34. 7
  35. 4
  36. 11
  37. 6
  38. 10
  39. 24
  40. 16

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