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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 916 · 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 29. What is the largest of them?
  2. 2.The sum of two consecutive whole numbers is 35. What is the smallest of them?
  3. 3.Solve: 5p + 11 = p + 51. What is p?
  4. 4.Solve: x/4 + x/3 = 42. What is x?
  5. 5.Solve: y/6 + y/4 = 30. What is y?
  6. 6.The sum of two consecutive whole numbers is 59. What is the largest of them?
  7. 7.The sum of three consecutive whole numbers is 54. What is the largest of them?
  8. 8.Solve: 9y + 9 = 2y + 30. What is y?
  9. 9.Solve: p/3 + p/2 = 35. What is p?
  10. 10.Solve: 7x + 19 = x + 103. What is x?
  11. 11.The length of a rectangle is 2 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  12. 12.The sum of four consecutive whole numbers is 154. What is the largest of them?
  13. 13.Solve: p/3 + p/5 = 40. What is p?
  14. 14.Solve: x/5 + x/2 = 49. What is x?
  15. 15.Solve: 4(t − 2) = t + 4. What is t?
  16. 16.The sum of four consecutive whole numbers is 66. What is the largest of them?
  17. 17.The sum of four consecutive whole numbers is 86. What is the largest of them?
  18. 18.The length of a rectangle is 4 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  19. 19.Solve: n/4 + n/3 = 42. What is n?
  20. 20.Solve: m/3 + m/5 = 8. What is m?
  21. 21.Solve: 7m + 7 = m + 61. What is m?
  22. 22.Solve: x/3 + x/4 = 28. What is x?
  23. 23.The length of a rectangle is 8 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  24. 24.Solve: n/3 + n/2 = 20. What is n?
  25. 25.Solve: p/2 + p/3 = 25. What is p?
  26. 26.A father is 24 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?
  27. 27.The length of a rectangle is 10 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  28. 28.Solve: 5(x − 2) = x + 14. What is x?
  29. 29.Solve: x/2 + x/3 = 5. What is x?
  30. 30.The length of a rectangle is 14 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  31. 31.The length of a rectangle is 6 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  32. 32.The sum of four consecutive whole numbers is 222. What is the smallest of them?
  33. 33.Solve: 9x + 7 = x + 39. What is x?
  34. 34.The sum of two consecutive whole numbers is 45. What is the smallest of them?
  35. 35.Solve: 3(n − 3) = n + 3. What is n?
  36. 36.The sum of three consecutive whole numbers is 138. What is the largest of them?
  37. 37.A father is 11 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  38. 38.The length of a rectangle is 9 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  39. 39.Solve: 3n + 12 = n + 40. What is n?
  40. 40.The sum of four consecutive whole numbers is 170. What is the smallest of them?

Answer key

  1. 15
  2. 17
  3. 10
  4. 72
  5. 72
  6. 30
  7. 19
  8. 3
  9. 42
  10. 14
  11. 23
  12. 40
  13. 75
  14. 70
  15. 4
  16. 18
  17. 23
  18. 18
  19. 72
  20. 15
  21. 9
  22. 48
  23. 26
  24. 24
  25. 30
  26. 6
  27. 24
  28. 6
  29. 6
  30. 24
  31. 6
  32. 54
  33. 4
  34. 22
  35. 6
  36. 47
  37. 10
  38. 7
  39. 14
  40. 41

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