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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 472 · 40 sums
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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 two consecutive whole numbers is 31. What is the smallest of them?
  2. 2.The length of a rectangle is 9 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  3. 3.Solve: 8x + 12 = 2x + 24. What is x?
  4. 4.The sum of two consecutive whole numbers is 33. What is the smallest of them?
  5. 5.Solve: 3(p − 2) = 2p + 3. What is p?
  6. 6.A father is 28 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?
  7. 7.Solve: t/4 + t/5 = 45. What is t?
  8. 8.The sum of two consecutive whole numbers is 21. What is the largest of them?
  9. 9.The sum of three consecutive whole numbers is 168. What is the smallest of them?
  10. 10.Solve: 6p + 17 = p + 37. What is p?
  11. 11.Solve: y/2 + y/3 = 5. What is y?
  12. 12.The sum of four consecutive whole numbers is 42. What is the largest of them?
  13. 13.The sum of four consecutive whole numbers is 190. What is the smallest of them?
  14. 14.Solve: 4y + 4 = 2y + 28. What is y?
  15. 15.Solve: 5(n − 4) = 2n + 25. What is n?
  16. 16.The length of a rectangle is 13 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  17. 17.The length of a rectangle is 4 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  18. 18.Solve: 8y + 7 = y + 28. What is y?
  19. 19.Solve: 4x + 6 = 2x + 36. What is x?
  20. 20.Solve: y/6 + y/4 = 35. What is y?
  21. 21.Solve: n/2 + n/5 = 35. What is n?
  22. 22.Solve: 4(m − 2) = 3m + 2. What is m?
  23. 23.Solve: p/4 + p/3 = 35. What is p?
  24. 24.The sum of three consecutive whole numbers is 54. What is the largest of them?
  25. 25.Solve: 3(x − 2) = 2x + 3. What is x?
  26. 26.A father is 36 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?
  27. 27.A father is 12 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?
  28. 28.Solve: y/2 + y/3 = 30. What is y?
  29. 29.A father is 33 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?
  30. 30.The sum of two consecutive whole numbers is 111. What is the smallest of them?
  31. 31.Solve: 5(t − 4) = 2t + 19. What is t?
  32. 32.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?
  33. 33.Solve: 4(t − 2) = t + 4. What is t?
  34. 34.Solve: 5(n − 1) = 3n + 13. What is n?
  35. 35.Solve: y/4 + y/3 = 49. What is y?
  36. 36.The length of a rectangle is 7 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  37. 37.Solve: 4(y − 3) = 2y + 22. What is y?
  38. 38.Solve: 8y + 6 = 4y + 14. What is y?
  39. 39.Solve: 4(m − 1) = 2m + 20. What is m?
  40. 40.Solve: 6(y − 5) = 4y + 6. What is y?

Answer key

  1. 15
  2. 24
  3. 2
  4. 16
  5. 9
  6. 7
  7. 100
  8. 11
  9. 55
  10. 4
  11. 6
  12. 12
  13. 46
  14. 12
  15. 15
  16. 16
  17. 24
  18. 3
  19. 15
  20. 84
  21. 50
  22. 10
  23. 60
  24. 19
  25. 9
  26. 11
  27. 2
  28. 36
  29. 10
  30. 55
  31. 13
  32. 4
  33. 4
  34. 9
  35. 84
  36. 29
  37. 17
  38. 2
  39. 12
  40. 18

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