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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 304 · 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: m/5 + m/4 = 9. What is m?
  2. 2.The length of a rectangle is 13 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  3. 3.Solve: 4(x − 4) = 2x + 14. What is x?
  4. 4.Solve: t/4 + t/5 = 45. What is t?
  5. 5.Solve: 3m + 19 = m + 41. What is m?
  6. 6.The length of a rectangle is 7 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  7. 7.Solve: 3x + 1 = 2x + 5. What is x?
  8. 8.Solve: 7n + 7 = 2n + 72. What is n?
  9. 9.Solve: n/2 + n/4 = 6. What is n?
  10. 10.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  11. 11.A father is 20 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  12. 12.The length of a rectangle is 7 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  13. 13.Solve: 7t + 16 = 2t + 36. What is t?
  14. 14.A father is 36 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  15. 15.Solve: y/6 + y/4 = 10. What is y?
  16. 16.A father is 10 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  17. 17.A father is 36 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  18. 18.Solve: m/3 + m/6 = 3. What is m?
  19. 19.Solve: 6t + 5 = 2t + 9. What is t?
  20. 20.The length of a rectangle is 15 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  21. 21.Solve: y/6 + y/5 = 55. What is y?
  22. 22.A father is 24 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  23. 23.The length of a rectangle is 7 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  24. 24.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?
  25. 25.The sum of two consecutive whole numbers is 59. What is the smallest of them?
  26. 26.Solve: p/2 + p/5 = 21. What is p?
  27. 27.The sum of four consecutive whole numbers is 94. What is the smallest of them?
  28. 28.Solve: p/2 + p/6 = 16. What is p?
  29. 29.Solve: t/2 + t/6 = 4. What is t?
  30. 30.Solve: 3(n − 3) = 2n + 1. What is n?
  31. 31.Solve: n/5 + n/2 = 28. What is n?
  32. 32.Solve: 8m + 3 = 5m + 18. What is m?
  33. 33.Solve: 4(y − 2) = 2y + 6. What is y?
  34. 34.The sum of two consecutive whole numbers is 15. What is the smallest of them?
  35. 35.Solve: 4(m − 1) = m + 29. What is m?
  36. 36.Solve: 3(t − 1) = 2t + 1. What is t?
  37. 37.The sum of three consecutive whole numbers is 63. What is the smallest of them?
  38. 38.Solve: y/3 + y/5 = 40. What is y?
  39. 39.Solve: 4n + 13 = n + 55. What is n?
  40. 40.Solve: 6(t − 1) = 2t + 10. What is t?

Answer key

  1. 20
  2. 20
  3. 15
  4. 100
  5. 11
  6. 8
  7. 4
  8. 13
  9. 8
  10. 7
  11. 4
  12. 9
  13. 4
  14. 10
  15. 24
  16. 5
  17. 6
  18. 6
  19. 1
  20. 26
  21. 150
  22. 9
  23. 6
  24. 5
  25. 29
  26. 30
  27. 22
  28. 24
  29. 6
  30. 10
  31. 40
  32. 5
  33. 7
  34. 7
  35. 11
  36. 4
  37. 20
  38. 75
  39. 14
  40. 4

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