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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 101 · 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: 3(p − 3) = 2p + 1. What is p?
  2. 2.The length of a rectangle is 8 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  3. 3.Solve: x/2 + x/3 = 40. What is x?
  4. 4.Solve: 4x + 6 = x + 24. What is x?
  5. 5.Solve: 5t + 16 = 2t + 40. What is t?
  6. 6.The length of a rectangle is 12 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  7. 7.Solve: 6(y − 5) = 3y + 36. What is y?
  8. 8.Solve: 3x + 17 = x + 23. What is x?
  9. 9.A father is 15 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  10. 10.The sum of two consecutive whole numbers is 79. What is the largest of them?
  11. 11.Solve: 5(t − 4) = 2t + 1. What is t?
  12. 12.Solve: 4p + 17 = p + 29. What is p?
  13. 13.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  14. 14.Solve: 9y + 12 = 3y + 78. What is y?
  15. 15.Solve: 6t + 5 = 5t + 6. What is t?
  16. 16.Solve: 6(p − 1) = 4p + 26. What is p?
  17. 17.Solve: 5p + 7 = 2p + 16. What is p?
  18. 18.The length of a rectangle is 12 cm more than its width. Its perimeter is 144 cm. What is its width (in cm)?
  19. 19.Solve: 5(n − 3) = n + 13. What is n?
  20. 20.Solve: 3(p − 5) = 2p + 8. What is p?
  21. 21.Solve: y/5 + y/2 = 35. What is y?
  22. 22.Solve: 7t + 7 = 5t + 21. What is t?
  23. 23.The length of a rectangle is 3 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  24. 24.Solve: 4(m − 5) = 2m + 26. What is m?
  25. 25.Solve: 4m + 13 = m + 46. What is m?
  26. 26.The sum of two consecutive whole numbers is 75. What is the smallest of them?
  27. 27.The length of a rectangle is 3 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  28. 28.Solve: n/5 + n/3 = 24. What is n?
  29. 29.Solve: y/5 + y/2 = 7. What is y?
  30. 30.Solve: 6(n − 3) = n + 37. What is n?
  31. 31.Solve: 3t + 5 = t + 11. What is t?
  32. 32.The sum of two consecutive whole numbers is 11. What is the smallest of them?
  33. 33.The length of a rectangle is 2 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  34. 34.Solve: 3(p − 4) = p + 12. What is p?
  35. 35.Solve: 5(x − 2) = 4x + 2. What is x?
  36. 36.Solve: 6y + 15 = y + 25. What is y?
  37. 37.Solve: 5(p − 1) = 3p + 5. What is p?
  38. 38.The length of a rectangle is 5 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  39. 39.Solve: n/6 + n/5 = 55. What is n?
  40. 40.Solve: 7n + 10 = n + 40. What is n?

Answer key

  1. 10
  2. 3
  3. 48
  4. 6
  5. 8
  6. 16
  7. 22
  8. 3
  9. 2
  10. 40
  11. 7
  12. 4
  13. 11
  14. 11
  15. 1
  16. 16
  17. 3
  18. 30
  19. 7
  20. 23
  21. 50
  22. 7
  23. 7
  24. 23
  25. 11
  26. 37
  27. 22
  28. 45
  29. 10
  30. 11
  31. 3
  32. 5
  33. 24
  34. 12
  35. 12
  36. 2
  37. 5
  38. 26
  39. 150
  40. 5

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