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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 969 · 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: 3(p − 4) = 2p + 1. What is p?
  2. 2.A father is 33 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?
  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: x/3 + x/5 = 16. What is x?
  5. 5.Solve: 6m + 2 = m + 77. What is m?
  6. 6.The sum of two consecutive whole numbers is 71. What is the smallest of them?
  7. 7.A father is 24 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  8. 8.Solve: 5(p − 5) = p + 43. What is p?
  9. 9.Solve: m/3 + m/6 = 15. What is m?
  10. 10.The length of a rectangle is 4 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  11. 11.Solve: 5(n − 2) = 4n + 9. What is n?
  12. 12.The sum of four consecutive whole numbers is 58. What is the smallest of them?
  13. 13.Solve: 5p + 6 = 3p + 26. What is p?
  14. 14.A father is 10 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  15. 15.Solve: p/3 + p/6 = 15. What is p?
  16. 16.Solve: 8x + 2 = 6x + 8. What is x?
  17. 17.The length of a rectangle is 12 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
  18. 18.Solve: 4x + 16 = 2x + 18. What is x?
  19. 19.A father is 30 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  20. 20.Solve: 4(y − 4) = y + 20. What is y?
  21. 21.Solve: 5t + 6 = t + 26. What is t?
  22. 22.Solve: 8t + 1 = 4t + 57. What is t?
  23. 23.The sum of three consecutive whole numbers is 123. What is the largest of them?
  24. 24.A father is 32 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  25. 25.Solve: 4(x − 1) = x + 29. What is x?
  26. 26.Solve: 4m + 6 = 3m + 20. What is m?
  27. 27.Solve: 4(p − 1) = 2p + 8. What is p?
  28. 28.Solve: 6(y − 2) = y + 23. What is y?
  29. 29.Solve: 6x + 10 = 3x + 25. What is x?
  30. 30.The length of a rectangle is 5 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  31. 31.Solve: 4(p − 1) = 2p + 22. What is p?
  32. 32.A father is 22 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?
  33. 33.Solve: 6(m − 5) = 3m + 24. What is m?
  34. 34.The sum of two consecutive whole numbers is 13. What is the smallest of them?
  35. 35.Solve: 8x + 10 = 3x + 60. What is x?
  36. 36.The length of a rectangle is 3 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  37. 37.Solve: x/5 + x/6 = 44. What is x?
  38. 38.Solve: y/6 + y/2 = 28. What is y?
  39. 39.The sum of four consecutive whole numbers is 82. What is the largest of them?
  40. 40.Solve: 4(n − 1) = 2n + 24. What is n?

Answer key

  1. 13
  2. 6
  3. 12
  4. 30
  5. 15
  6. 35
  7. 2
  8. 17
  9. 30
  10. 22
  11. 19
  12. 13
  13. 10
  14. 4
  15. 30
  16. 3
  17. 29
  18. 1
  19. 2
  20. 12
  21. 5
  22. 14
  23. 42
  24. 12
  25. 11
  26. 14
  27. 6
  28. 7
  29. 5
  30. 7
  31. 13
  32. 4
  33. 18
  34. 6
  35. 10
  36. 10
  37. 120
  38. 42
  39. 22
  40. 14

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