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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 704 · 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.A father is 10 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  2. 2.The length of a rectangle is 15 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  3. 3.The length of a rectangle is 15 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  4. 4.Solve: n/2 + n/4 = 21. What is n?
  5. 5.The sum of two consecutive whole numbers is 55. What is the smallest of them?
  6. 6.Solve: 3(p − 3) = 2p + 3. What is p?
  7. 7.Solve: x/5 + x/3 = 8. What is x?
  8. 8.Solve: 5(x − 5) = 3x + 1. What is x?
  9. 9.The sum of two consecutive whole numbers is 121. What is the largest of them?
  10. 10.Solve: 7p + 13 = p + 73. What is p?
  11. 11.The length of a rectangle is 6 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  12. 12.Solve: 6(x − 4) = 4x + 12. What is x?
  13. 13.Solve: 5(y − 1) = 4y + 2. What is y?
  14. 14.Solve: 6(t − 2) = t + 8. What is t?
  15. 15.Solve: 3(t − 3) = t + 5. What is t?
  16. 16.Solve: 8x + 6 = 3x + 11. What is x?
  17. 17.The length of a rectangle is 12 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  18. 18.The length of a rectangle is 14 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  19. 19.Solve: 3(n − 4) = 2n + 13. What is n?
  20. 20.Solve: m/3 + m/2 = 15. What is m?
  21. 21.Solve: x/3 + x/4 = 56. What is x?
  22. 22.Solve: 5(y − 1) = 4y + 10. What is y?
  23. 23.Solve: 3(m − 3) = 2m + 12. What is m?
  24. 24.Solve: p/2 + p/6 = 12. What is p?
  25. 25.Solve: 3x + 11 = 2x + 19. What is x?
  26. 26.Solve: 4y + 4 = 3y + 5. What is y?
  27. 27.The sum of two consecutive whole numbers is 39. What is the smallest of them?
  28. 28.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  29. 29.Solve: p/4 + p/6 = 40. What is p?
  30. 30.Solve: m/3 + m/6 = 18. What is m?
  31. 31.The length of a rectangle is 9 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  32. 32.Solve: 7p + 19 = p + 67. What is p?
  33. 33.A father is 9 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  34. 34.Solve: 8t + 1 = 2t + 37. What is t?
  35. 35.Solve: 5t + 6 = 3t + 10. What is t?
  36. 36.Solve: 6p + 18 = 2p + 42. What is p?
  37. 37.The sum of two consecutive whole numbers is 89. What is the smallest of them?
  38. 38.The length of a rectangle is 1 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  39. 39.Solve: x/4 + x/5 = 27. What is x?
  40. 40.A father is 14 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 7
  2. 26
  3. 20
  4. 28
  5. 27
  6. 12
  7. 15
  8. 13
  9. 61
  10. 10
  11. 20
  12. 18
  13. 7
  14. 4
  15. 7
  16. 1
  17. 23
  18. 8
  19. 25
  20. 18
  21. 96
  22. 15
  23. 21
  24. 18
  25. 8
  26. 1
  27. 19
  28. 4
  29. 96
  30. 36
  31. 5
  32. 8
  33. 6
  34. 6
  35. 2
  36. 6
  37. 44
  38. 11
  39. 60
  40. 7

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