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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 196 · 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: 6(n − 2) = 3n + 18. What is n?
  2. 2.Solve: 3(m − 3) = 2m + 10. What is m?
  3. 3.Solve: 6(p − 3) = 3p + 33. What is p?
  4. 4.Solve: 6n + 15 = 2n + 47. What is n?
  5. 5.Solve: p/4 + p/5 = 63. What is p?
  6. 6.Solve: 4x + 18 = x + 42. What is x?
  7. 7.Solve: 3p + 5 = p + 9. What is p?
  8. 8.Solve: 3(p − 1) = 2p + 11. What is p?
  9. 9.The sum of two consecutive whole numbers is 93. What is the smallest of them?
  10. 10.Solve: m/6 + m/5 = 77. What is m?
  11. 11.Solve: x/2 + x/5 = 42. What is x?
  12. 12.Solve: 6y + 16 = 3y + 34. What is y?
  13. 13.The length of a rectangle is 1 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  14. 14.Solve: 3t + 19 = 2t + 22. What is t?
  15. 15.The sum of three consecutive whole numbers is 162. What is the smallest of them?
  16. 16.The sum of four consecutive whole numbers is 162. What is the largest of them?
  17. 17.A father is 6 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  18. 18.Solve: 8x + 4 = 3x + 54. What is x?
  19. 19.A father is 8 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  20. 20.Solve: 5n + 5 = n + 17. What is n?
  21. 21.The sum of two consecutive whole numbers is 75. What is the smallest of them?
  22. 22.The length of a rectangle is 7 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  23. 23.Solve: p/3 + p/4 = 7. What is p?
  24. 24.Solve: 3(y − 4) = 2y + 6. What is y?
  25. 25.Solve: 4(m − 2) = 3m + 12. What is m?
  26. 26.The length of a rectangle is 7 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  27. 27.A father is 16 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  28. 28.A father is 26 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?
  29. 29.Solve: 4(m − 3) = 3m + 8. What is m?
  30. 30.The sum of three consecutive whole numbers is 171. What is the largest of them?
  31. 31.Solve: y/2 + y/6 = 8. What is y?
  32. 32.The sum of two consecutive whole numbers is 67. What is the largest of them?
  33. 33.Solve: 3(p − 1) = 2p + 3. What is p?
  34. 34.The length of a rectangle is 4 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  35. 35.A father is 48 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  36. 36.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  37. 37.Solve: 7p + 1 = 2p + 36. What is p?
  38. 38.The length of a rectangle is 9 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  39. 39.Solve: 7y + 4 = y + 94. What is y?
  40. 40.Solve: 5(n − 4) = 4n + 7. What is n?

Answer key

  1. 10
  2. 19
  3. 17
  4. 8
  5. 140
  6. 8
  7. 2
  8. 14
  9. 46
  10. 210
  11. 60
  12. 6
  13. 24
  14. 3
  15. 53
  16. 42
  17. 2
  18. 10
  19. 7
  20. 3
  21. 37
  22. 4
  23. 12
  24. 18
  25. 20
  26. 28
  27. 11
  28. 6
  29. 20
  30. 58
  31. 12
  32. 34
  33. 6
  34. 8
  35. 11
  36. 11
  37. 7
  38. 19
  39. 15
  40. 27

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