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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 660 · 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: y/3 + y/2 = 20. What is y?
  2. 2.Solve: 5(n − 3) = 4n + 8. What is n?
  3. 3.The sum of four consecutive whole numbers is 98. What is the largest of them?
  4. 4.The length of a rectangle is 15 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  5. 5.Solve: t/6 + t/3 = 24. What is t?
  6. 6.Solve: p/6 + p/2 = 28. What is p?
  7. 7.The length of a rectangle is 8 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  8. 8.A father is 6 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  9. 9.Solve: 3p + 2 = p + 22. What is p?
  10. 10.Solve: 7x + 10 = 5x + 22. What is x?
  11. 11.Solve: y/5 + y/6 = 55. What is y?
  12. 12.Solve: 6t + 18 = t + 83. What is t?
  13. 13.The sum of two consecutive whole numbers is 57. What is the largest of them?
  14. 14.A father is 26 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?
  15. 15.A father is 9 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  16. 16.Solve: n/3 + n/2 = 5. What is n?
  17. 17.Solve: 6(n − 1) = n + 9. What is n?
  18. 18.A father is 14 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?
  19. 19.Solve: m/5 + m/3 = 8. What is m?
  20. 20.Solve: 3(m − 4) = 2m + 2. What is m?
  21. 21.The length of a rectangle is 5 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
  22. 22.Solve: 3(x − 4) = x + 2. What is x?
  23. 23.Solve: p/3 + p/4 = 21. What is p?
  24. 24.Solve: 6(y − 2) = 3y + 9. What is y?
  25. 25.The sum of three consecutive whole numbers is 33. What is the smallest of them?
  26. 26.Solve: 4p + 19 = p + 37. What is p?
  27. 27.Solve: 4(p − 3) = p + 21. What is p?
  28. 28.Solve: y/4 + y/2 = 12. What is y?
  29. 29.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  30. 30.Solve: p/2 + p/3 = 15. What is p?
  31. 31.Solve: 6t + 5 = t + 25. What is t?
  32. 32.The length of a rectangle is 11 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  33. 33.The length of a rectangle is 2 cm more than its width. Its perimeter is 12 cm. What is its width (in cm)?
  34. 34.The sum of four consecutive whole numbers is 182. What is the smallest of them?
  35. 35.The length of a rectangle is 4 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  36. 36.Solve: p/4 + p/6 = 40. What is p?
  37. 37.The length of a rectangle is 8 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  38. 38.The sum of two consecutive whole numbers is 73. What is the largest of them?
  39. 39.Solve: 7x + 11 = 3x + 43. What is x?
  40. 40.The sum of three consecutive whole numbers is 78. What is the largest of them?

Answer key

  1. 24
  2. 23
  3. 26
  4. 6
  5. 48
  6. 42
  7. 12
  8. 2
  9. 10
  10. 6
  11. 150
  12. 13
  13. 29
  14. 7
  15. 8
  16. 6
  17. 3
  18. 2
  19. 15
  20. 14
  21. 2
  22. 7
  23. 36
  24. 7
  25. 10
  26. 6
  27. 11
  28. 16
  29. 3
  30. 18
  31. 4
  32. 23
  33. 2
  34. 44
  35. 24
  36. 96
  37. 27
  38. 37
  39. 8
  40. 27

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