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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 619 · 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: y/4 + y/2 = 3. What is y?
  2. 2.Solve: 6n + 6 = 3n + 9. What is n?
  3. 3.The sum of four consecutive whole numbers is 170. What is the largest of them?
  4. 4.Solve: 9p + 17 = 7p + 43. What is p?
  5. 5.A father is 17 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  6. 6.Solve: t/6 + t/5 = 22. What is t?
  7. 7.The sum of two consecutive whole numbers is 37. What is the largest of them?
  8. 8.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  9. 9.Solve: n/2 + n/6 = 32. What is n?
  10. 10.Solve: p/4 + p/2 = 21. What is p?
  11. 11.The length of a rectangle is 6 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  12. 12.The sum of four consecutive whole numbers is 154. What is the smallest of them?
  13. 13.Solve: 9n + 3 = 7n + 7. What is n?
  14. 14.A father is 4 years older than his son. In 1 year, 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 124 cm. What is its width (in cm)?
  16. 16.Solve: 8n + 2 = 6n + 10. What is n?
  17. 17.A father is 10 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  18. 18.The sum of four consecutive whole numbers is 30. What is the largest of them?
  19. 19.The length of a rectangle is 4 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  20. 20.Solve: 5p + 12 = 4p + 13. What is p?
  21. 21.The length of a rectangle is 8 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  22. 22.The length of a rectangle is 8 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  23. 23.Solve: 4(n − 2) = n + 7. What is n?
  24. 24.Solve: t/2 + t/3 = 5. What is t?
  25. 25.Solve: t/6 + t/5 = 11. What is t?
  26. 26.Solve: 3(y − 1) = 2y + 13. What is y?
  27. 27.Solve: 3(n − 4) = 2n + 13. What is n?
  28. 28.Solve: n/6 + n/2 = 24. What is n?
  29. 29.Solve: 4p + 16 = p + 28. What is p?
  30. 30.Solve: 6n + 6 = 5n + 14. What is n?
  31. 31.Solve: 4(p − 5) = 3p + 2. What is p?
  32. 32.The length of a rectangle is 5 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  33. 33.Solve: 3(y − 1) = 2y + 3. What is y?
  34. 34.Solve: 4p + 19 = 3p + 33. What is p?
  35. 35.Solve: 4x + 6 = 3x + 20. What is x?
  36. 36.Solve: 6(p − 5) = p + 25. What is p?
  37. 37.The length of a rectangle is 3 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  38. 38.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?
  39. 39.Solve: m/5 + m/4 = 45. What is m?
  40. 40.The length of a rectangle is 6 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?

Answer key

  1. 4
  2. 1
  3. 44
  4. 13
  5. 10
  6. 60
  7. 19
  8. 3
  9. 48
  10. 28
  11. 7
  12. 37
  13. 2
  14. 3
  15. 28
  16. 4
  17. 4
  18. 9
  19. 6
  20. 1
  21. 14
  22. 3
  23. 5
  24. 6
  25. 30
  26. 16
  27. 25
  28. 36
  29. 4
  30. 8
  31. 22
  32. 4
  33. 6
  34. 14
  35. 14
  36. 11
  37. 17
  38. 4
  39. 100
  40. 3

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