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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 170 · 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 three consecutive whole numbers is 150. What is the largest of them?
  2. 2.The length of a rectangle is 11 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  3. 3.Solve: 4(p − 5) = 2p + 6. What is p?
  4. 4.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  5. 5.Solve: 9m + 14 = m + 46. What is m?
  6. 6.Solve: n/6 + n/2 = 20. What is n?
  7. 7.Solve: 4y + 9 = 2y + 29. What is y?
  8. 8.The length of a rectangle is 13 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  9. 9.The length of a rectangle is 4 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  10. 10.The sum of two consecutive whole numbers is 81. What is the largest of them?
  11. 11.The length of a rectangle is 5 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  12. 12.The sum of four consecutive whole numbers is 26. What is the smallest of them?
  13. 13.A father is 22 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?
  14. 14.A father is 13 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  15. 15.The length of a rectangle is 6 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  16. 16.Solve: x/3 + x/6 = 9. What is x?
  17. 17.Solve: 3y + 3 = y + 13. What is y?
  18. 18.Solve: 5n + 6 = n + 30. What is n?
  19. 19.Solve: 9x + 16 = 6x + 46. What is x?
  20. 20.The length of a rectangle is 6 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  21. 21.Solve: 6(m − 1) = m + 29. What is m?
  22. 22.The sum of two consecutive whole numbers is 79. What is the largest of them?
  23. 23.Solve: 5(p − 1) = 2p + 7. What is p?
  24. 24.A father is 28 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  25. 25.The sum of two consecutive whole numbers is 31. What is the largest of them?
  26. 26.Solve: p/3 + p/5 = 8. What is p?
  27. 27.The sum of two consecutive whole numbers is 13. What is the largest of them?
  28. 28.The sum of three consecutive whole numbers is 138. What is the smallest of them?
  29. 29.Solve: y/3 + y/6 = 12. What is y?
  30. 30.A father is 36 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?
  31. 31.Solve: 4(y − 4) = y + 26. What is y?
  32. 32.Solve: y/2 + y/4 = 9. What is y?
  33. 33.The sum of two consecutive whole numbers is 61. What is the smallest of them?
  34. 34.Solve: m/4 + m/3 = 49. What is m?
  35. 35.Solve: n/4 + n/6 = 15. What is n?
  36. 36.Solve: 6x + 16 = 2x + 20. What is x?
  37. 37.Solve: 5x + 20 = 4x + 30. What is x?
  38. 38.The sum of two consecutive whole numbers is 73. What is the smallest of them?
  39. 39.Solve: 3(x − 2) = x + 14. What is x?
  40. 40.Solve: 4(p − 2) = p + 22. What is p?

Answer key

  1. 51
  2. 12
  3. 13
  4. 6
  5. 4
  6. 30
  7. 10
  8. 8
  9. 19
  10. 41
  11. 7
  12. 5
  13. 7
  14. 6
  15. 26
  16. 18
  17. 5
  18. 6
  19. 10
  20. 16
  21. 7
  22. 40
  23. 4
  24. 6
  25. 16
  26. 15
  27. 7
  28. 45
  29. 24
  30. 8
  31. 14
  32. 12
  33. 30
  34. 84
  35. 36
  36. 1
  37. 10
  38. 36
  39. 10
  40. 10

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