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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 261 · 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: 6n + 11 = 3n + 29. What is n?
  2. 2.The sum of four consecutive whole numbers is 174. What is the smallest of them?
  3. 3.The sum of two consecutive whole numbers is 29. What is the smallest of them?
  4. 4.Solve: 6p + 13 = 4p + 17. What is p?
  5. 5.The length of a rectangle is 2 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  6. 6.The length of a rectangle is 10 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  7. 7.Solve: 6(t − 1) = 5t + 9. What is t?
  8. 8.Solve: p/5 + p/6 = 11. What is p?
  9. 9.Solve: 4p + 11 = 3p + 21. What is p?
  10. 10.Solve: y/3 + y/4 = 35. What is y?
  11. 11.Solve: 3x + 1 = x + 5. What is x?
  12. 12.The sum of two consecutive whole numbers is 71. What is the smallest of them?
  13. 13.A father is 12 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  14. 14.Solve: 4y + 2 = y + 47. What is y?
  15. 15.The sum of three consecutive whole numbers is 138. What is the smallest of them?
  16. 16.A father is 10 years older than his son. In 6 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 25. What is the smallest of them?
  18. 18.Solve: 4(n − 4) = 3n + 12. What is n?
  19. 19.Solve: 6(x − 2) = 5x + 13. What is x?
  20. 20.Solve: 4(x − 4) = 3x + 4. What is x?
  21. 21.The length of a rectangle is 7 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  22. 22.The length of a rectangle is 4 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  23. 23.The length of a rectangle is 1 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  24. 24.Solve: 3(p − 3) = 2p + 3. What is p?
  25. 25.Solve: 6(n − 1) = 3n + 30. What is n?
  26. 26.Solve: 7n + 11 = 5n + 21. What is n?
  27. 27.The sum of three consecutive whole numbers is 144. What is the smallest of them?
  28. 28.Solve: 6(x − 3) = x + 57. What is x?
  29. 29.Solve: 5(x − 3) = 3x + 23. What is x?
  30. 30.The sum of two consecutive whole numbers is 89. What is the largest of them?
  31. 31.A father is 27 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?
  32. 32.The length of a rectangle is 1 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  33. 33.Solve: 4(y − 2) = y + 10. What is y?
  34. 34.Solve: p/2 + p/3 = 5. What is p?
  35. 35.Solve: 3(t − 1) = t + 1. What is t?
  36. 36.A father is 48 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?
  37. 37.The sum of two consecutive whole numbers is 77. What is the smallest of them?
  38. 38.The sum of four consecutive whole numbers is 62. What is the smallest of them?
  39. 39.Solve: 5(y − 2) = 4y + 12. What is y?
  40. 40.Solve: x/5 + x/2 = 35. What is x?

Answer key

  1. 6
  2. 42
  3. 14
  4. 2
  5. 15
  6. 25
  7. 15
  8. 30
  9. 10
  10. 60
  11. 2
  12. 35
  13. 4
  14. 15
  15. 45
  16. 4
  17. 12
  18. 28
  19. 25
  20. 20
  21. 14
  22. 24
  23. 25
  24. 12
  25. 12
  26. 5
  27. 47
  28. 15
  29. 19
  30. 45
  31. 5
  32. 19
  33. 6
  34. 6
  35. 2
  36. 12
  37. 38
  38. 14
  39. 22
  40. 50

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