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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 896 · 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: 3(n − 1) = n + 9. What is n?
  2. 2.Solve: 3(m − 1) = 2m + 5. What is m?
  3. 3.A father is 28 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?
  4. 4.Solve: 3(p − 4) = p + 4. What is p?
  5. 5.Solve: 3x + 2 = 2x + 4. What is x?
  6. 6.Solve: 3(y − 2) = y + 10. What is y?
  7. 7.The length of a rectangle is 12 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  8. 8.A father is 33 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?
  9. 9.Solve: 4(m − 4) = 2m + 10. What is m?
  10. 10.Solve: x/2 + x/3 = 10. What is x?
  11. 11.Solve: p/3 + p/2 = 10. What is p?
  12. 12.Solve: 9p + 11 = p + 115. What is p?
  13. 13.Solve: 8y + 7 = 2y + 61. What is y?
  14. 14.Solve: y/5 + y/3 = 16. What is y?
  15. 15.Solve: 6(x − 1) = 2x + 10. What is x?
  16. 16.Solve: 9x + 17 = x + 33. What is x?
  17. 17.Solve: 6m + 12 = 2m + 52. What is m?
  18. 18.Solve: 3(x − 3) = x + 17. What is x?
  19. 19.Solve: x/6 + x/3 = 3. What is x?
  20. 20.The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  21. 21.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  22. 22.The length of a rectangle is 15 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  23. 23.Solve: x/2 + x/5 = 28. What is x?
  24. 24.Solve: 3(n − 1) = n + 17. What is n?
  25. 25.The sum of four consecutive whole numbers is 126. What is the largest of them?
  26. 26.The length of a rectangle is 3 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  27. 27.Solve: 8x + 10 = 2x + 94. What is x?
  28. 28.Solve: 5(t − 2) = t + 50. What is t?
  29. 29.Solve: t/5 + t/3 = 40. What is t?
  30. 30.A father is 14 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?
  31. 31.The length of a rectangle is 4 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  32. 32.A father is 30 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  33. 33.Solve: 3m + 4 = 2m + 10. What is m?
  34. 34.The sum of four consecutive whole numbers is 110. What is the smallest of them?
  35. 35.Solve: 7n + 6 = n + 12. What is n?
  36. 36.The length of a rectangle is 13 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  37. 37.Solve: 9n + 12 = 2n + 54. What is n?
  38. 38.A father is 13 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  39. 39.A father is 20 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?
  40. 40.The length of a rectangle is 3 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?

Answer key

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

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