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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 169 · 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 162. What is the largest of them?
  2. 2.A father is 20 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  3. 3.The length of a rectangle is 6 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  4. 4.Solve: 3n + 16 = 2n + 19. What is n?
  5. 5.Solve: 8m + 10 = 3m + 50. What is m?
  6. 6.The sum of three consecutive whole numbers is 177. What is the smallest of them?
  7. 7.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  8. 8.The length of a rectangle is 9 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  9. 9.Solve: m/3 + m/4 = 21. What is m?
  10. 10.Solve: n/5 + n/2 = 56. What is n?
  11. 11.Solve: y/2 + y/5 = 35. What is y?
  12. 12.Solve: y/3 + y/5 = 48. What is y?
  13. 13.Solve: 6(m − 5) = 5m + 3. What is m?
  14. 14.Solve: 3(x − 5) = 2x + 8. What is x?
  15. 15.The length of a rectangle is 2 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  16. 16.Solve: y/2 + y/6 = 24. What is y?
  17. 17.Solve: 5(y − 5) = 3y + 21. What is y?
  18. 18.Solve: m/5 + m/6 = 44. What is m?
  19. 19.Solve: x/3 + x/4 = 14. What is x?
  20. 20.Solve: 8y + 17 = y + 122. What is y?
  21. 21.The length of a rectangle is 9 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  22. 22.The sum of two consecutive whole numbers is 29. What is the largest of them?
  23. 23.Solve: 3y + 9 = y + 23. What is y?
  24. 24.Solve: 4(m − 1) = m + 35. What is m?
  25. 25.The sum of four consecutive whole numbers is 242. What is the smallest of them?
  26. 26.The sum of three consecutive whole numbers is 66. What is the largest of them?
  27. 27.Solve: 9x + 6 = 7x + 8. What is x?
  28. 28.Solve: m/6 + m/2 = 32. What is m?
  29. 29.Solve: p/4 + p/6 = 40. What is p?
  30. 30.Solve: 6(t − 2) = 4t + 10. What is t?
  31. 31.Solve: 4t + 1 = t + 13. What is t?
  32. 32.Solve: x/3 + x/2 = 25. What is x?
  33. 33.The length of a rectangle is 9 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  34. 34.The length of a rectangle is 1 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  35. 35.Solve: 4(x − 1) = x + 32. What is x?
  36. 36.Solve: 5t + 1 = t + 45. What is t?
  37. 37.Solve: 3(y − 3) = y + 1. What is y?
  38. 38.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  39. 39.The length of a rectangle is 5 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  40. 40.Solve: 6(n − 1) = 4n + 26. What is n?

Answer key

  1. 42
  2. 6
  3. 28
  4. 3
  5. 8
  6. 58
  7. 4
  8. 15
  9. 36
  10. 80
  11. 50
  12. 90
  13. 33
  14. 23
  15. 8
  16. 36
  17. 23
  18. 120
  19. 24
  20. 15
  21. 19
  22. 15
  23. 7
  24. 13
  25. 59
  26. 23
  27. 1
  28. 48
  29. 96
  30. 11
  31. 4
  32. 30
  33. 28
  34. 21
  35. 12
  36. 11
  37. 5
  38. 2
  39. 4
  40. 16

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