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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 709 · 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: 5p + 13 = 2p + 58. What is p?
  2. 2.Solve: 5(t − 4) = 4t + 4. What is t?
  3. 3.Solve: 9x + 16 = 5x + 60. What is x?
  4. 4.Solve: 5t + 16 = t + 36. What is t?
  5. 5.The length of a rectangle is 3 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  6. 6.A father is 15 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?
  7. 7.Solve: 9x + 18 = 2x + 39. What is x?
  8. 8.A father is 18 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  9. 9.The length of a rectangle is 5 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  10. 10.Solve: 8x + 2 = x + 23. What is x?
  11. 11.The sum of two consecutive whole numbers is 91. What is the smallest of them?
  12. 12.The length of a rectangle is 7 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  13. 13.Solve: y/4 + y/2 = 15. What is y?
  14. 14.Solve: m/5 + m/6 = 88. What is m?
  15. 15.A father is 36 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  16. 16.The length of a rectangle is 4 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  17. 17.Solve: 9y + 5 = 5y + 13. What is y?
  18. 18.A father is 10 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  19. 19.The sum of three consecutive whole numbers is 102. What is the smallest of them?
  20. 20.Solve: p/4 + p/3 = 56. What is p?
  21. 21.Solve: 4x + 1 = 3x + 11. What is x?
  22. 22.The length of a rectangle is 11 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  23. 23.The sum of two consecutive whole numbers is 13. What is the smallest of them?
  24. 24.Solve: x/2 + x/6 = 8. What is x?
  25. 25.Solve: 8t + 3 = t + 87. What is t?
  26. 26.Solve: x/2 + x/6 = 32. What is x?
  27. 27.The length of a rectangle is 4 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  28. 28.Solve: 8x + 11 = 3x + 31. What is x?
  29. 29.The sum of three consecutive whole numbers is 141. What is the smallest of them?
  30. 30.The length of a rectangle is 13 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  31. 31.Solve: 7y + 19 = 5y + 27. What is y?
  32. 32.A father is 16 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?
  33. 33.Solve: 4x + 19 = 2x + 43. What is x?
  34. 34.Solve: 3(p − 1) = p + 17. What is p?
  35. 35.Solve: 6(m − 1) = 5m + 10. What is m?
  36. 36.Solve: 4(t − 2) = t + 4. What is t?
  37. 37.Solve: 4(y − 3) = 2y + 2. What is y?
  38. 38.Solve: 6(y − 1) = 4y + 12. What is y?
  39. 39.Solve: 4(y − 3) = y + 18. What is y?
  40. 40.Solve: 7m + 19 = 2m + 84. What is m?

Answer key

  1. 15
  2. 24
  3. 11
  4. 5
  5. 21
  6. 3
  7. 3
  8. 11
  9. 24
  10. 3
  11. 45
  12. 13
  13. 20
  14. 240
  15. 11
  16. 28
  17. 2
  18. 4
  19. 33
  20. 96
  21. 10
  22. 13
  23. 6
  24. 12
  25. 12
  26. 48
  27. 16
  28. 4
  29. 46
  30. 4
  31. 4
  32. 5
  33. 12
  34. 10
  35. 16
  36. 4
  37. 7
  38. 9
  39. 10
  40. 13

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