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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 85 · 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: 5y + 5 = 3y + 11. What is y?
  2. 2.Solve: 4y + 3 = 2y + 33. What is y?
  3. 3.Solve: m/2 + m/5 = 28. What is m?
  4. 4.Solve: 4(m − 4) = m + 8. What is m?
  5. 5.The length of a rectangle is 3 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
  6. 6.The sum of four consecutive whole numbers is 190. What is the largest of them?
  7. 7.Solve: 6(y − 3) = 2y + 34. What is y?
  8. 8.The sum of three consecutive whole numbers is 147. What is the largest of them?
  9. 9.The length of a rectangle is 7 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  10. 10.A father is 18 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  11. 11.The sum of two consecutive whole numbers is 47. What is the largest of them?
  12. 12.The sum of four consecutive whole numbers is 66. What is the smallest of them?
  13. 13.Solve: y/2 + y/5 = 7. What is y?
  14. 14.Solve: m/2 + m/3 = 35. What is m?
  15. 15.Solve: 4(n − 1) = n + 23. What is n?
  16. 16.Solve: x/2 + x/5 = 35. What is x?
  17. 17.Solve: 6(t − 3) = 3t + 30. What is t?
  18. 18.A father is 12 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  19. 19.The sum of two consecutive whole numbers is 27. What is the smallest of them?
  20. 20.Solve: 5y + 3 = 2y + 33. What is y?
  21. 21.Solve: x/5 + x/4 = 27. What is x?
  22. 22.Solve: 9n + 10 = 3n + 58. What is n?
  23. 23.The sum of two consecutive whole numbers is 17. What is the smallest of them?
  24. 24.The sum of four consecutive whole numbers is 90. What is the largest of them?
  25. 25.A father is 10 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  26. 26.Solve: x/5 + x/3 = 56. What is x?
  27. 27.Solve: 5(x − 3) = x + 33. What is x?
  28. 28.The sum of three consecutive whole numbers is 126. What is the largest of them?
  29. 29.The sum of two consecutive whole numbers is 21. What is the largest of them?
  30. 30.Solve: 3(y − 5) = 2y + 9. What is y?
  31. 31.The sum of two consecutive whole numbers is 37. What is the largest of them?
  32. 32.The length of a rectangle is 15 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  33. 33.Solve: n/5 + n/4 = 45. What is n?
  34. 34.The length of a rectangle is 7 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  35. 35.Solve: 3(m − 2) = m + 16. What is m?
  36. 36.Solve: 3p + 5 = 2p + 16. What is p?
  37. 37.Solve: n/3 + n/2 = 25. What is n?
  38. 38.Solve: 4(p − 3) = 2p + 20. What is p?
  39. 39.Solve: 4n + 15 = 3n + 23. What is n?
  40. 40.The length of a rectangle is 12 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?

Answer key

  1. 3
  2. 15
  3. 40
  4. 8
  5. 4
  6. 49
  7. 13
  8. 50
  9. 5
  10. 11
  11. 24
  12. 15
  13. 10
  14. 42
  15. 9
  16. 50
  17. 16
  18. 5
  19. 13
  20. 10
  21. 60
  22. 8
  23. 8
  24. 24
  25. 9
  26. 105
  27. 12
  28. 43
  29. 11
  30. 24
  31. 19
  32. 20
  33. 100
  34. 20
  35. 11
  36. 11
  37. 30
  38. 16
  39. 8
  40. 9

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