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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 733 · 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: 3y + 5 = 2y + 18. What is y?
  2. 2.Solve: t/4 + t/5 = 27. What is t?
  3. 3.Solve: 5(y − 1) = 2y + 7. What is y?
  4. 4.Solve: 5n + 10 = 2n + 34. What is n?
  5. 5.The sum of two consecutive whole numbers is 51. What is the largest of them?
  6. 6.A father is 42 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?
  7. 7.The sum of three consecutive whole numbers is 72. What is the smallest of them?
  8. 8.Solve: 4m + 8 = 2m + 10. What is m?
  9. 9.The length of a rectangle is 8 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  10. 10.The sum of two consecutive whole numbers is 25. What is the largest of them?
  11. 11.Solve: 7y + 16 = y + 28. What is y?
  12. 12.Solve: 3(m − 1) = 2m + 2. What is m?
  13. 13.Solve: y/4 + y/2 = 9. What is y?
  14. 14.Solve: x/4 + x/6 = 30. What is x?
  15. 15.Solve: 6x + 20 = 3x + 41. What is x?
  16. 16.The sum of four consecutive whole numbers is 198. What is the smallest of them?
  17. 17.Solve: y/3 + y/2 = 10. What is y?
  18. 18.The sum of four consecutive whole numbers is 154. What is the smallest of them?
  19. 19.Solve: 7y + 3 = 5y + 17. What is y?
  20. 20.The length of a rectangle is 13 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  21. 21.Solve: 7t + 8 = 3t + 56. What is t?
  22. 22.Solve: p/5 + p/2 = 7. What is p?
  23. 23.The length of a rectangle is 1 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  24. 24.Solve: p/2 + p/6 = 28. What is p?
  25. 25.The sum of two consecutive whole numbers is 25. What is the smallest of them?
  26. 26.A father is 20 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  27. 27.The sum of two consecutive whole numbers is 35. What is the largest of them?
  28. 28.Solve: 4x + 6 = x + 27. What is x?
  29. 29.Solve: p/2 + p/4 = 6. What is p?
  30. 30.Solve: 3(p − 4) = 2p + 3. What is p?
  31. 31.Solve: 4(x − 1) = x + 11. What is x?
  32. 32.Solve: 3(x − 3) = x + 5. What is x?
  33. 33.The length of a rectangle is 13 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  34. 34.A father is 32 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?
  35. 35.Solve: x/2 + x/4 = 6. What is x?
  36. 36.Solve: 6(t − 3) = t + 22. What is t?
  37. 37.Solve: 4(m − 3) = m + 33. What is m?
  38. 38.Solve: 3n + 18 = n + 40. What is n?
  39. 39.Solve: 9x + 8 = x + 64. What is x?
  40. 40.Solve: 9y + 16 = 5y + 36. What is y?

Answer key

  1. 13
  2. 60
  3. 4
  4. 8
  5. 26
  6. 10
  7. 23
  8. 1
  9. 8
  10. 13
  11. 2
  12. 5
  13. 12
  14. 72
  15. 7
  16. 48
  17. 12
  18. 37
  19. 7
  20. 22
  21. 12
  22. 10
  23. 28
  24. 42
  25. 12
  26. 4
  27. 18
  28. 7
  29. 8
  30. 15
  31. 5
  32. 7
  33. 26
  34. 9
  35. 8
  36. 8
  37. 15
  38. 11
  39. 7
  40. 5

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