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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 135 · 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 sum of four consecutive whole numbers is 174. What is the smallest of them?
  2. 2.The length of a rectangle is 4 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  3. 3.Solve: 4m + 6 = 2m + 28. What is m?
  4. 4.Solve: 9x + 5 = 5x + 49. What is x?
  5. 5.The length of a rectangle is 15 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  6. 6.Solve: 4(m − 2) = m + 22. What is m?
  7. 7.Solve: y/6 + y/2 = 32. What is y?
  8. 8.Solve: 4t + 6 = t + 24. What is t?
  9. 9.Solve: 8t + 11 = 5t + 50. What is t?
  10. 10.The sum of three consecutive whole numbers is 21. What is the largest of them?
  11. 11.Solve: 4t + 6 = 3t + 14. What is t?
  12. 12.Solve: 6(n − 1) = 3n + 9. What is n?
  13. 13.Solve: y/5 + y/2 = 28. What is y?
  14. 14.A father is 12 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?
  15. 15.Solve: 4t + 11 = t + 29. What is t?
  16. 16.Solve: 3(n − 4) = n + 6. What is n?
  17. 17.Solve: 9t + 2 = 2t + 72. What is t?
  18. 18.The length of a rectangle is 1 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
  19. 19.Solve: x/5 + x/2 = 49. What is x?
  20. 20.The sum of four consecutive whole numbers is 30. What is the smallest of them?
  21. 21.A father is 12 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.Solve: n/2 + n/6 = 24. What is n?
  23. 23.The length of a rectangle is 4 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  24. 24.A father is 27 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  25. 25.Solve: 5(m − 5) = 4m + 2. What is m?
  26. 26.The length of a rectangle is 3 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  27. 27.Solve: 3(t − 1) = t + 7. What is t?
  28. 28.A father is 36 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  29. 29.The sum of three consecutive whole numbers is 81. What is the largest of them?
  30. 30.The length of a rectangle is 5 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  31. 31.The length of a rectangle is 7 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  32. 32.Solve: 3(p − 5) = 2p + 13. What is p?
  33. 33.Solve: 5(m − 2) = 3m + 8. What is m?
  34. 34.Solve: 4x + 19 = 3x + 28. What is x?
  35. 35.Solve: 4p + 6 = p + 27. What is p?
  36. 36.Solve: 3m + 6 = m + 12. What is m?
  37. 37.The length of a rectangle is 12 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  38. 38.The sum of three consecutive whole numbers is 102. What is the smallest of them?
  39. 39.Solve: m/3 + m/2 = 40. What is m?
  40. 40.Solve: n/3 + n/2 = 30. What is n?

Answer key

  1. 42
  2. 23
  3. 11
  4. 11
  5. 16
  6. 10
  7. 48
  8. 6
  9. 13
  10. 8
  11. 8
  12. 5
  13. 40
  14. 5
  15. 6
  16. 9
  17. 10
  18. 3
  19. 70
  20. 6
  21. 7
  22. 36
  23. 27
  24. 6
  25. 27
  26. 5
  27. 5
  28. 5
  29. 28
  30. 20
  31. 17
  32. 28
  33. 9
  34. 9
  35. 7
  36. 3
  37. 25
  38. 33
  39. 48
  40. 36

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