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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 940 · 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.The length of a rectangle is 4 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  2. 2.The length of a rectangle is 9 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  3. 3.The sum of two consecutive whole numbers is 105. What is the smallest of them?
  4. 4.Solve: n/3 + n/2 = 20. What is n?
  5. 5.The length of a rectangle is 3 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  6. 6.The length of a rectangle is 2 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  7. 7.Solve: x/2 + x/3 = 10. What is x?
  8. 8.Solve: y/6 + y/5 = 11. What is y?
  9. 9.The sum of two consecutive whole numbers is 83. What is the smallest of them?
  10. 10.Solve: 3y + 8 = 2y + 22. What is y?
  11. 11.Solve: x/5 + x/6 = 11. What is x?
  12. 12.Solve: 3(p − 2) = 2p + 12. What is p?
  13. 13.Solve: 6y + 8 = 2y + 28. What is y?
  14. 14.Solve: t/3 + t/2 = 10. What is t?
  15. 15.The sum of two consecutive whole numbers is 39. What is the smallest of them?
  16. 16.Solve: 8t + 14 = t + 77. What is t?
  17. 17.The length of a rectangle is 10 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  18. 18.The length of a rectangle is 3 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  19. 19.The length of a rectangle is 2 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  20. 20.Solve: 6(m − 5) = 4m + 6. What is m?
  21. 21.Solve: m/3 + m/6 = 12. What is m?
  22. 22.The sum of three consecutive whole numbers is 171. What is the largest of them?
  23. 23.Solve: 3t + 11 = t + 29. What is t?
  24. 24.The length of a rectangle is 3 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  25. 25.Solve: 7y + 10 = y + 34. What is y?
  26. 26.Solve: p/4 + p/2 = 3. What is p?
  27. 27.Solve: p/3 + p/2 = 40. What is p?
  28. 28.Solve: 7t + 4 = 2t + 39. What is t?
  29. 29.A father is 14 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  30. 30.Solve: 4(n − 5) = n + 34. What is n?
  31. 31.A father is 14 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  32. 32.Solve: 4(p − 5) = p + 16. What is p?
  33. 33.The length of a rectangle is 14 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  34. 34.Solve: x/2 + x/6 = 20. What is x?
  35. 35.The length of a rectangle is 1 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  36. 36.Solve: 5(t − 4) = 3t + 14. What is t?
  37. 37.The length of a rectangle is 5 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  38. 38.Solve: 9m + 10 = 7m + 24. What is m?
  39. 39.The length of a rectangle is 6 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  40. 40.A father is 60 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?

Answer key

  1. 15
  2. 6
  3. 52
  4. 24
  5. 22
  6. 5
  7. 12
  8. 30
  9. 41
  10. 14
  11. 30
  12. 18
  13. 5
  14. 12
  15. 19
  16. 9
  17. 11
  18. 26
  19. 30
  20. 18
  21. 24
  22. 58
  23. 9
  24. 12
  25. 4
  26. 4
  27. 48
  28. 7
  29. 7
  30. 18
  31. 12
  32. 12
  33. 24
  34. 30
  35. 11
  36. 17
  37. 26
  38. 7
  39. 13
  40. 12

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