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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 819 · 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 two consecutive whole numbers is 99. What is the smallest of them?
  2. 2.Solve: m/4 + m/3 = 21. What is m?
  3. 3.Solve: 5(y − 1) = 3y + 23. What is y?
  4. 4.Solve: 3y + 4 = 2y + 7. What is y?
  5. 5.The length of a rectangle is 10 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  6. 6.The sum of three consecutive whole numbers is 108. What is the largest of them?
  7. 7.Solve: 7x + 3 = x + 87. What is x?
  8. 8.A father is 12 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  9. 9.Solve: 3(m − 4) = m + 18. What is m?
  10. 10.Solve: 4x + 6 = x + 21. What is x?
  11. 11.Solve: 3n + 14 = 2n + 24. What is n?
  12. 12.A father is 26 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  13. 13.A father is 28 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?
  14. 14.Solve: p/6 + p/3 = 12. What is p?
  15. 15.Solve: 9p + 10 = 6p + 13. What is p?
  16. 16.Solve: 4(t − 2) = 2t + 4. What is t?
  17. 17.Solve: 5(p − 3) = 3p + 13. What is p?
  18. 18.The length of a rectangle is 12 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  19. 19.Solve: y/6 + y/2 = 8. What is y?
  20. 20.Solve: 7p + 2 = 4p + 11. What is p?
  21. 21.Solve: 5(y − 1) = 3y + 19. What is y?
  22. 22.A father is 10 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  23. 23.Solve: 4(x − 4) = x + 26. What is x?
  24. 24.The sum of three consecutive whole numbers is 120. What is the smallest of them?
  25. 25.Solve: 3t + 20 = 2t + 23. What is t?
  26. 26.The length of a rectangle is 8 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  27. 27.Solve: 4(n − 1) = n + 38. What is n?
  28. 28.The length of a rectangle is 6 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  29. 29.Solve: 4y + 13 = 2y + 27. What is y?
  30. 30.Solve: 5(y − 3) = 3y + 11. What is y?
  31. 31.Solve: 3(t − 2) = 2t + 8. What is t?
  32. 32.The length of a rectangle is 15 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  33. 33.Solve: 6(m − 1) = 2m + 38. What is m?
  34. 34.Solve: t/4 + t/5 = 63. What is t?
  35. 35.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?
  36. 36.Solve: t/3 + t/5 = 8. What is t?
  37. 37.The sum of three consecutive whole numbers is 75. What is the smallest of them?
  38. 38.Solve: 6(x − 2) = x + 58. What is x?
  39. 39.The length of a rectangle is 9 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  40. 40.The length of a rectangle is 15 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?

Answer key

  1. 49
  2. 36
  3. 14
  4. 3
  5. 3
  6. 37
  7. 14
  8. 9
  9. 15
  10. 5
  11. 10
  12. 11
  13. 7
  14. 24
  15. 1
  16. 6
  17. 14
  18. 8
  19. 12
  20. 3
  21. 12
  22. 6
  23. 14
  24. 39
  25. 3
  26. 11
  27. 14
  28. 11
  29. 7
  30. 13
  31. 14
  32. 10
  33. 11
  34. 140
  35. 10
  36. 15
  37. 24
  38. 14
  39. 27
  40. 7

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