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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 955 · 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 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?
  2. 2.The sum of four consecutive whole numbers is 58. What is the smallest of them?
  3. 3.Solve: 6(y − 4) = 4y + 6. What is y?
  4. 4.The sum of three consecutive whole numbers is 72. What is the largest of them?
  5. 5.Solve: 4x + 1 = 3x + 3. What is x?
  6. 6.The length of a rectangle is 15 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  7. 7.The length of a rectangle is 1 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  8. 8.Solve: 3(p − 5) = 2p + 5. What is p?
  9. 9.The sum of four consecutive whole numbers is 214. What is the smallest of them?
  10. 10.A father is 15 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  11. 11.Solve: n/2 + n/4 = 24. What is n?
  12. 12.The sum of two consecutive whole numbers is 67. What is the smallest of them?
  13. 13.Solve: 6t + 8 = 3t + 41. What is t?
  14. 14.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  15. 15.The length of a rectangle is 12 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  16. 16.A father is 7 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  17. 17.The sum of two consecutive whole numbers is 31. What is the largest of them?
  18. 18.The sum of two consecutive whole numbers is 65. What is the smallest of them?
  19. 19.Solve: 4(n − 1) = 3n + 6. What is n?
  20. 20.The length of a rectangle is 3 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  21. 21.Solve: 4n + 12 = 2n + 26. What is n?
  22. 22.Solve: 5x + 3 = 4x + 11. What is x?
  23. 23.Solve: 4(n − 5) = 2n + 24. What is n?
  24. 24.Solve: t/3 + t/6 = 18. What is t?
  25. 25.The sum of two consecutive whole numbers is 117. What is the largest of them?
  26. 26.Solve: 3(t − 3) = t + 13. What is t?
  27. 27.The length of a rectangle is 1 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  28. 28.Solve: p/6 + p/3 = 12. What is p?
  29. 29.Solve: 3(x − 1) = 2x + 6. What is x?
  30. 30.Solve: x/4 + x/3 = 35. What is x?
  31. 31.Solve: y/3 + y/5 = 8. What is y?
  32. 32.Solve: 5(y − 3) = 3y + 1. What is y?
  33. 33.Solve: 4(n − 5) = n + 22. What is n?
  34. 34.Solve: 5(n − 4) = 4n + 8. What is n?
  35. 35.Solve: 4(t − 2) = t + 4. What is t?
  36. 36.Solve: 5n + 1 = n + 29. What is n?
  37. 37.Solve: 4(x − 4) = x + 8. What is x?
  38. 38.Solve: 7x + 10 = 4x + 46. What is x?
  39. 39.Solve: 5p + 8 = 4p + 18. What is p?
  40. 40.Solve: 5(y − 1) = 3y + 25. What is y?

Answer key

  1. 9
  2. 13
  3. 15
  4. 25
  5. 2
  6. 5
  7. 22
  8. 20
  9. 52
  10. 11
  11. 32
  12. 33
  13. 11
  14. 3
  15. 14
  16. 4
  17. 16
  18. 32
  19. 10
  20. 9
  21. 7
  22. 8
  23. 22
  24. 36
  25. 59
  26. 11
  27. 27
  28. 24
  29. 9
  30. 60
  31. 15
  32. 8
  33. 14
  34. 28
  35. 4
  36. 7
  37. 8
  38. 12
  39. 10
  40. 15

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