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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 364 · 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 length of a rectangle is 11 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  2. 2.Solve: 6y + 8 = 2y + 20. What is y?
  3. 3.The sum of four consecutive whole numbers is 50. What is the smallest of them?
  4. 4.Solve: n/3 + n/2 = 30. What is n?
  5. 5.The sum of two consecutive whole numbers is 27. What is the largest of them?
  6. 6.Solve: 6(t − 4) = 4t + 14. What is t?
  7. 7.The length of a rectangle is 8 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  8. 8.Solve: 3x + 2 = 2x + 4. What is x?
  9. 9.Solve: p/2 + p/6 = 24. What is p?
  10. 10.Solve: 5(p − 1) = p + 39. What is p?
  11. 11.Solve: 9x + 13 = 3x + 25. What is x?
  12. 12.The length of a rectangle is 14 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  13. 13.A father is 16 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  14. 14.The sum of two consecutive whole numbers is 113. What is the largest of them?
  15. 15.Solve: 8p + 11 = 6p + 19. What is p?
  16. 16.Solve: 4(m − 3) = m + 39. What is m?
  17. 17.Solve: x/2 + x/4 = 21. What is x?
  18. 18.Solve: 4(x − 1) = 2x + 16. What is x?
  19. 19.A father is 30 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  20. 20.Solve: 6(n − 2) = 4n + 10. What is n?
  21. 21.The sum of four consecutive whole numbers is 102. What is the largest of them?
  22. 22.Solve: n/2 + n/6 = 8. What is n?
  23. 23.The sum of three consecutive whole numbers is 60. What is the smallest of them?
  24. 24.Solve: 4(y − 2) = 2y + 6. What is y?
  25. 25.Solve: x/6 + x/2 = 24. What is x?
  26. 26.Solve: y/6 + y/2 = 24. What is y?
  27. 27.Solve: 5t + 8 = t + 16. What is t?
  28. 28.The length of a rectangle is 4 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  29. 29.Solve: 4(m − 3) = m + 9. What is m?
  30. 30.The length of a rectangle is 7 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  31. 31.Solve: 7t + 8 = 6t + 21. What is t?
  32. 32.The sum of four consecutive whole numbers is 126. What is the smallest of them?
  33. 33.Solve: p/3 + p/2 = 5. What is p?
  34. 34.A father is 9 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  35. 35.Solve: t/3 + t/2 = 20. What is t?
  36. 36.Solve: 3(n − 1) = 2n + 9. What is n?
  37. 37.The sum of four consecutive whole numbers is 30. What is the smallest of them?
  38. 38.Solve: 8x + 17 = x + 108. What is x?
  39. 39.The length of a rectangle is 10 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  40. 40.Solve: y/3 + y/5 = 48. What is y?

Answer key

  1. 10
  2. 3
  3. 11
  4. 36
  5. 14
  6. 19
  7. 20
  8. 2
  9. 36
  10. 11
  11. 2
  12. 5
  13. 12
  14. 57
  15. 4
  16. 17
  17. 28
  18. 10
  19. 8
  20. 11
  21. 27
  22. 12
  23. 19
  24. 7
  25. 36
  26. 36
  27. 2
  28. 26
  29. 7
  30. 15
  31. 13
  32. 30
  33. 6
  34. 2
  35. 24
  36. 12
  37. 6
  38. 13
  39. 2
  40. 90

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