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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 724 · 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: 3x + 11 = 2x + 23. What is x?
  2. 2.A father is 27 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  3. 3.The sum of four consecutive whole numbers is 90. What is the smallest of them?
  4. 4.Solve: 8m + 16 = 4m + 20. What is m?
  5. 5.The sum of three consecutive whole numbers is 75. What is the smallest of them?
  6. 6.Solve: x/5 + x/4 = 27. What is x?
  7. 7.Solve: 6(y − 5) = 3y + 3. What is y?
  8. 8.A father is 48 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  9. 9.A father is 14 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?
  10. 10.The sum of four consecutive whole numbers is 174. What is the largest of them?
  11. 11.A father is 26 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  12. 12.The sum of three consecutive whole numbers is 24. What is the smallest of them?
  13. 13.Solve: 4p + 14 = 3p + 15. What is p?
  14. 14.Solve: 5(x − 4) = x + 24. What is x?
  15. 15.Solve: m/4 + m/3 = 7. What is m?
  16. 16.Solve: 5y + 20 = 4y + 28. What is y?
  17. 17.Solve: 5(n − 1) = 4n + 10. What is n?
  18. 18.Solve: n/4 + n/2 = 6. What is n?
  19. 19.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?
  20. 20.Solve: 6x + 18 = 5x + 28. What is x?
  21. 21.Solve: t/3 + t/4 = 21. What is t?
  22. 22.The length of a rectangle is 11 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  23. 23.The length of a rectangle is 9 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  24. 24.Solve: 6y + 8 = 3y + 35. What is y?
  25. 25.Solve: 6m + 13 = 5m + 28. What is m?
  26. 26.Solve: 4x + 17 = 2x + 37. What is x?
  27. 27.The sum of three consecutive whole numbers is 162. What is the smallest of them?
  28. 28.A father is 28 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?
  29. 29.Solve: 5t + 12 = 3t + 22. What is t?
  30. 30.Solve: m/2 + m/3 = 5. What is m?
  31. 31.Solve: 8x + 11 = 4x + 15. What is x?
  32. 32.The sum of two consecutive whole numbers is 39. What is the largest of them?
  33. 33.A father is 33 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?
  34. 34.The sum of three consecutive whole numbers is 84. What is the smallest of them?
  35. 35.Solve: x/3 + x/4 = 42. What is x?
  36. 36.The sum of two consecutive whole numbers is 29. What is the smallest of them?
  37. 37.Solve: 4x + 10 = 2x + 12. What is x?
  38. 38.The sum of three consecutive whole numbers is 123. What is the largest of them?
  39. 39.Solve: 3(p − 1) = 2p + 3. What is p?
  40. 40.Solve: x/3 + x/4 = 56. What is x?

Answer key

  1. 12
  2. 5
  3. 21
  4. 1
  5. 24
  6. 60
  7. 11
  8. 11
  9. 4
  10. 45
  11. 6
  12. 7
  13. 1
  14. 11
  15. 12
  16. 8
  17. 15
  18. 8
  19. 7
  20. 10
  21. 36
  22. 25
  23. 12
  24. 9
  25. 15
  26. 10
  27. 53
  28. 9
  29. 5
  30. 6
  31. 1
  32. 20
  33. 9
  34. 27
  35. 72
  36. 14
  37. 1
  38. 42
  39. 6
  40. 96

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