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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 300 · 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: m/6 + m/2 = 4. What is m?
  2. 2.Solve: 3p + 9 = p + 13. What is p?
  3. 3.A father is 14 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  4. 4.Solve: 3m + 17 = m + 45. What is m?
  5. 5.The length of a rectangle is 9 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  6. 6.Solve: 9n + 9 = 6n + 48. What is n?
  7. 7.Solve: 5n + 1 = n + 41. What is n?
  8. 8.Solve: 4x + 9 = x + 39. What is x?
  9. 9.The sum of two consecutive whole numbers is 73. What is the largest of them?
  10. 10.The sum of three consecutive whole numbers is 117. What is the largest of them?
  11. 11.Solve: 5(m − 4) = 4m + 8. What is m?
  12. 12.Solve: x/2 + x/4 = 12. What is x?
  13. 13.Solve: 6(t − 4) = t + 31. What is t?
  14. 14.Solve: 6(y − 4) = 5y + 11. What is y?
  15. 15.Solve: n/4 + n/6 = 5. What is n?
  16. 16.A father is 9 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  17. 17.Solve: m/6 + m/5 = 33. What is m?
  18. 18.Solve: p/4 + p/6 = 40. What is p?
  19. 19.Solve: y/4 + y/3 = 42. What is y?
  20. 20.Solve: 9t + 3 = t + 43. What is t?
  21. 21.A father is 42 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  22. 22.Solve: x/6 + x/3 = 3. What is x?
  23. 23.The sum of three consecutive whole numbers is 135. What is the largest of them?
  24. 24.Solve: 8m + 12 = 3m + 57. What is m?
  25. 25.Solve: 6t + 18 = 2t + 70. What is t?
  26. 26.The sum of two consecutive whole numbers is 75. What is the largest of them?
  27. 27.The sum of four consecutive whole numbers is 102. What is the largest of them?
  28. 28.Solve: 9x + 15 = 4x + 45. What is x?
  29. 29.The sum of two consecutive whole numbers is 85. What is the largest of them?
  30. 30.A father is 27 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?
  31. 31.The sum of four consecutive whole numbers is 66. What is the smallest of them?
  32. 32.The sum of three consecutive whole numbers is 150. What is the largest of them?
  33. 33.Solve: 4p + 5 = p + 41. What is p?
  34. 34.The sum of two consecutive whole numbers is 17. What is the largest of them?
  35. 35.The length of a rectangle is 11 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  36. 36.Solve: 5y + 17 = 4y + 21. What is y?
  37. 37.The length of a rectangle is 15 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  38. 38.The length of a rectangle is 2 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  39. 39.Solve: 3(t − 1) = t + 11. What is t?
  40. 40.The sum of four consecutive whole numbers is 154. What is the smallest of them?

Answer key

  1. 6
  2. 2
  3. 12
  4. 14
  5. 28
  6. 13
  7. 10
  8. 10
  9. 37
  10. 40
  11. 28
  12. 16
  13. 11
  14. 35
  15. 12
  16. 2
  17. 90
  18. 96
  19. 72
  20. 5
  21. 11
  22. 6
  23. 46
  24. 9
  25. 13
  26. 38
  27. 27
  28. 6
  29. 43
  30. 7
  31. 15
  32. 51
  33. 12
  34. 9
  35. 14
  36. 4
  37. 2
  38. 24
  39. 7
  40. 37

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