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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 395 · 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: 6(y − 2) = 5y + 3. What is y?
  2. 2.The sum of two consecutive whole numbers is 79. What is the smallest of them?
  3. 3.The sum of three consecutive whole numbers is 117. What is the largest of them?
  4. 4.Solve: 6x + 13 = 2x + 29. What is x?
  5. 5.The sum of four consecutive whole numbers is 26. What is the largest of them?
  6. 6.The sum of two consecutive whole numbers is 47. What is the largest of them?
  7. 7.A father is 30 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?
  8. 8.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?
  9. 9.Solve: 4(y − 1) = y + 26. What is y?
  10. 10.Solve: 7p + 3 = 5p + 5. What is p?
  11. 11.The sum of three consecutive whole numbers is 132. What is the largest of them?
  12. 12.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  13. 13.Solve: x/2 + x/5 = 42. What is x?
  14. 14.Solve: n/2 + n/4 = 15. What is n?
  15. 15.Solve: y/3 + y/4 = 42. What is y?
  16. 16.The length of a rectangle is 13 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  17. 17.Solve: 4(m − 5) = 3m + 8. What is m?
  18. 18.Solve: 7p + 1 = 2p + 11. What is p?
  19. 19.The sum of two consecutive whole numbers is 95. What is the largest of them?
  20. 20.Solve: m/4 + m/5 = 72. What is m?
  21. 21.Solve: 6(x − 3) = x + 2. What is x?
  22. 22.Solve: 5(t − 4) = 4t + 7. What is t?
  23. 23.The sum of three consecutive whole numbers is 180. What is the smallest of them?
  24. 24.Solve: 9x + 6 = 6x + 21. What is x?
  25. 25.Solve: 4t + 1 = 3t + 7. What is t?
  26. 26.Solve: 5(p − 1) = 2p + 13. What is p?
  27. 27.A father is 24 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?
  28. 28.A father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  29. 29.The sum of two consecutive whole numbers is 67. What is the largest of them?
  30. 30.Solve: 3(x − 3) = 2x + 4. What is x?
  31. 31.Solve: 4n + 9 = 2n + 37. What is n?
  32. 32.Solve: 4t + 19 = 3t + 22. What is t?
  33. 33.Solve: m/6 + m/2 = 12. What is m?
  34. 34.The sum of two consecutive whole numbers is 109. What is the smallest of them?
  35. 35.Solve: x/2 + x/4 = 3. What is x?
  36. 36.Solve: n/2 + n/5 = 35. What is n?
  37. 37.The length of a rectangle is 3 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  38. 38.Solve: 9x + 8 = 7x + 10. What is x?
  39. 39.Solve: p/6 + p/5 = 55. What is p?
  40. 40.The sum of three consecutive whole numbers is 99. What is the largest of them?

Answer key

  1. 15
  2. 39
  3. 40
  4. 4
  5. 8
  6. 24
  7. 11
  8. 2
  9. 10
  10. 1
  11. 45
  12. 4
  13. 60
  14. 20
  15. 72
  16. 7
  17. 28
  18. 2
  19. 48
  20. 160
  21. 4
  22. 27
  23. 59
  24. 5
  25. 6
  26. 6
  27. 3
  28. 9
  29. 34
  30. 13
  31. 14
  32. 3
  33. 18
  34. 54
  35. 4
  36. 50
  37. 14
  38. 1
  39. 150
  40. 34

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