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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 984 · 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: m/6 + m/5 = 66. What is m?
  2. 2.The length of a rectangle is 8 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  3. 3.Solve: 6m + 1 = 4m + 3. What is m?
  4. 4.Solve: 6(n − 1) = 2n + 18. What is n?
  5. 5.A father is 20 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  6. 6.Solve: 5(y − 4) = y + 52. What is y?
  7. 7.The sum of four consecutive whole numbers is 130. What is the largest of them?
  8. 8.The sum of three consecutive whole numbers is 183. What is the smallest of them?
  9. 9.Solve: 3p + 3 = 2p + 15. What is p?
  10. 10.Solve: 4m + 3 = m + 39. What is m?
  11. 11.Solve: 4x + 5 = 2x + 7. What is x?
  12. 12.Solve: x/2 + x/4 = 18. What is x?
  13. 13.Solve: 4(n − 5) = 3n + 10. What is n?
  14. 14.The sum of four consecutive whole numbers is 30. What is the largest of them?
  15. 15.Solve: 3n + 5 = n + 11. What is n?
  16. 16.Solve: 3(p − 1) = p + 23. What is p?
  17. 17.Solve: y/5 + y/4 = 63. What is y?
  18. 18.Solve: 6(m − 4) = m + 1. What is m?
  19. 19.Solve: x/2 + x/6 = 28. What is x?
  20. 20.Solve: 3y + 3 = y + 27. What is y?
  21. 21.The sum of three consecutive whole numbers is 135. What is the largest of them?
  22. 22.The sum of two consecutive whole numbers is 115. What is the largest of them?
  23. 23.Solve: 3(p − 4) = 2p + 12. What is p?
  24. 24.The length of a rectangle is 1 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  25. 25.Solve: 6x + 4 = 4x + 26. What is x?
  26. 26.The length of a rectangle is 4 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  27. 27.Solve: 3m + 1 = m + 9. What is m?
  28. 28.Solve: 3m + 10 = 2m + 19. What is m?
  29. 29.Solve: 7t + 3 = 5t + 7. What is t?
  30. 30.Solve: 3m + 20 = m + 36. What is m?
  31. 31.Solve: 3(x − 1) = x + 7. What is x?
  32. 32.The length of a rectangle is 13 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  33. 33.Solve: x/3 + x/2 = 35. What is x?
  34. 34.Solve: 5(t − 4) = 2t + 7. What is t?
  35. 35.Solve: 5(t − 4) = t + 16. What is t?
  36. 36.A father is 20 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?
  37. 37.Solve: 3(m − 4) = m + 14. What is m?
  38. 38.Solve: 6m + 1 = 3m + 43. What is m?
  39. 39.A father is 7 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  40. 40.The length of a rectangle is 7 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?

Answer key

  1. 180
  2. 5
  3. 1
  4. 6
  5. 7
  6. 18
  7. 34
  8. 60
  9. 12
  10. 12
  11. 1
  12. 24
  13. 30
  14. 9
  15. 3
  16. 13
  17. 140
  18. 5
  19. 42
  20. 12
  21. 46
  22. 58
  23. 24
  24. 28
  25. 11
  26. 14
  27. 4
  28. 9
  29. 2
  30. 8
  31. 5
  32. 4
  33. 42
  34. 9
  35. 9
  36. 3
  37. 13
  38. 14
  39. 6
  40. 22

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