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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 327 · 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 72. What is the largest of them?
  2. 2.Solve: 3(y − 2) = y + 14. What is y?
  3. 3.Solve: x/3 + x/4 = 42. What is x?
  4. 4.Solve: 4(n − 3) = 2n + 16. What is n?
  5. 5.The sum of two consecutive whole numbers is 87. What is the largest of them?
  6. 6.Solve: 4(t − 5) = 3t + 11. What is t?
  7. 7.Solve: x/5 + x/6 = 33. What is x?
  8. 8.A father is 60 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: m/3 + m/4 = 42. What is m?
  10. 10.The length of a rectangle is 5 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  11. 11.Solve: y/3 + y/2 = 20. What is y?
  12. 12.Solve: 6(y − 1) = 2y + 18. What is y?
  13. 13.A father is 15 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?
  14. 14.Solve: 3(y − 4) = y + 6. What is y?
  15. 15.Solve: 6(y − 5) = y + 35. What is y?
  16. 16.The length of a rectangle is 1 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  17. 17.A father is 39 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  18. 18.The sum of three consecutive whole numbers is 114. What is the smallest of them?
  19. 19.The length of a rectangle is 1 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  20. 20.Solve: 4(x − 3) = 2x + 20. What is x?
  21. 21.Solve: p/4 + p/2 = 3. What is p?
  22. 22.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  23. 23.The length of a rectangle is 4 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  24. 24.Solve: 6(m − 2) = 5m + 2. What is m?
  25. 25.Solve: 8p + 7 = 7p + 13. What is p?
  26. 26.Solve: x/6 + x/5 = 77. What is x?
  27. 27.Solve: 3(t − 2) = t + 2. What is t?
  28. 28.Solve: 3(x − 3) = 2x + 8. What is x?
  29. 29.A father is 12 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  30. 30.A father is 40 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?
  31. 31.Solve: 5m + 7 = m + 51. What is m?
  32. 32.Solve: t/6 + t/2 = 32. What is t?
  33. 33.Solve: 3(m − 1) = 2m + 11. What is m?
  34. 34.Solve: 9m + 8 = 8m + 16. What is m?
  35. 35.Solve: 4(x − 3) = x + 21. What is x?
  36. 36.Solve: 3(p − 4) = p + 24. What is p?
  37. 37.Solve: 4(x − 2) = x + 19. What is x?
  38. 38.The sum of four consecutive whole numbers is 38. What is the largest of them?
  39. 39.The sum of four consecutive whole numbers is 206. What is the smallest of them?
  40. 40.Solve: n/2 + n/4 = 24. What is n?

Answer key

  1. 25
  2. 10
  3. 72
  4. 14
  5. 44
  6. 31
  7. 90
  8. 12
  9. 72
  10. 7
  11. 24
  12. 6
  13. 4
  14. 9
  15. 13
  16. 8
  17. 6
  18. 37
  19. 17
  20. 16
  21. 4
  22. 4
  23. 5
  24. 14
  25. 6
  26. 210
  27. 4
  28. 17
  29. 7
  30. 12
  31. 11
  32. 48
  33. 14
  34. 8
  35. 11
  36. 18
  37. 9
  38. 11
  39. 50
  40. 32

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