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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 998 · 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: p/4 + p/5 = 9. What is p?
  2. 2.Solve: m/5 + m/6 = 88. What is m?
  3. 3.Solve: x/4 + x/6 = 20. What is x?
  4. 4.The sum of two consecutive whole numbers is 47. What is the smallest of them?
  5. 5.A father is 16 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  6. 6.Solve: m/6 + m/2 = 8. What is m?
  7. 7.Solve: 6(p − 5) = 2p + 14. What is p?
  8. 8.The sum of four consecutive whole numbers is 58. What is the largest of them?
  9. 9.The length of a rectangle is 11 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  10. 10.Solve: x/4 + x/3 = 7. What is x?
  11. 11.Solve: 4t + 17 = 2t + 35. What is t?
  12. 12.Solve: 9t + 14 = 3t + 32. What is t?
  13. 13.Solve: n/2 + n/4 = 15. What is n?
  14. 14.The sum of four consecutive whole numbers is 50. What is the smallest of them?
  15. 15.The length of a rectangle is 1 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  16. 16.The sum of two consecutive whole numbers is 67. What is the largest of them?
  17. 17.Solve: 3(n − 1) = 2n + 8. What is n?
  18. 18.Solve: 6(t − 1) = 2t + 22. What is t?
  19. 19.Solve: 5(t − 5) = t + 11. What is t?
  20. 20.Solve: 5(n − 3) = n + 5. What is n?
  21. 21.The length of a rectangle is 4 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  22. 22.Solve: 4p + 6 = 3p + 10. What is p?
  23. 23.The length of a rectangle is 7 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  24. 24.A father is 12 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?
  25. 25.Solve: p/6 + p/5 = 88. What is p?
  26. 26.Solve: 3(y − 5) = y + 25. What is y?
  27. 27.A father is 38 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  28. 28.The sum of three consecutive whole numbers is 69. What is the smallest of them?
  29. 29.The length of a rectangle is 10 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  30. 30.The length of a rectangle is 5 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
  31. 31.Solve: 4(x − 5) = x + 10. What is x?
  32. 32.Solve: m/2 + m/6 = 24. What is m?
  33. 33.Solve: 4(x − 4) = 2x + 24. What is x?
  34. 34.The length of a rectangle is 3 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  35. 35.Solve: y/5 + y/3 = 56. What is y?
  36. 36.Solve: 3x + 13 = x + 41. What is x?
  37. 37.Solve: 8m + 4 = 4m + 28. What is m?
  38. 38.The sum of three consecutive whole numbers is 33. What is the smallest of them?
  39. 39.Solve: 5y + 9 = y + 33. What is y?
  40. 40.The sum of two consecutive whole numbers is 21. What is the largest of them?

Answer key

  1. 20
  2. 240
  3. 48
  4. 23
  5. 3
  6. 12
  7. 11
  8. 16
  9. 25
  10. 12
  11. 9
  12. 3
  13. 20
  14. 11
  15. 18
  16. 34
  17. 11
  18. 7
  19. 9
  20. 5
  21. 16
  22. 4
  23. 15
  24. 3
  25. 240
  26. 20
  27. 11
  28. 22
  29. 11
  30. 3
  31. 10
  32. 36
  33. 20
  34. 30
  35. 105
  36. 14
  37. 6
  38. 10
  39. 6
  40. 11

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