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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 762 · 40 sums
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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: 3y + 17 = 2y + 31. What is y?
  2. 2.The sum of two consecutive whole numbers is 23. What is the smallest of them?
  3. 3.A father is 9 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  4. 4.Solve: p/4 + p/2 = 21. What is p?
  5. 5.Solve: 7y + 10 = 6y + 20. What is y?
  6. 6.Solve: x/5 + x/2 = 42. What is x?
  7. 7.The sum of two consecutive whole numbers is 103. What is the smallest of them?
  8. 8.Solve: 7x + 16 = 5x + 22. What is x?
  9. 9.Solve: m/2 + m/5 = 7. What is m?
  10. 10.Solve: 3(x − 1) = x + 3. What is x?
  11. 11.Solve: 8x + 16 = 2x + 22. What is x?
  12. 12.Solve: 6(t − 2) = 3t + 9. What is t?
  13. 13.Solve: 9p + 11 = 8p + 24. What is p?
  14. 14.Solve: p/3 + p/6 = 24. What is p?
  15. 15.A father is 11 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  16. 16.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  17. 17.Solve: 3t + 9 = t + 15. What is t?
  18. 18.Solve: 3y + 7 = 2y + 18. What is y?
  19. 19.The length of a rectangle is 1 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  20. 20.Solve: 6t + 17 = 2t + 61. What is t?
  21. 21.Solve: 6(m − 1) = 4m + 6. What is m?
  22. 22.The sum of three consecutive whole numbers is 123. What is the largest of them?
  23. 23.The length of a rectangle is 11 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  24. 24.A father is 15 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  25. 25.The sum of three consecutive whole numbers is 105. What is the smallest of them?
  26. 26.Solve: 3(x − 2) = 2x + 8. What is x?
  27. 27.The length of a rectangle is 15 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  28. 28.The length of a rectangle is 5 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  29. 29.The length of a rectangle is 12 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  30. 30.The sum of two consecutive whole numbers is 31. What is the smallest of them?
  31. 31.Solve: m/2 + m/4 = 6. What is m?
  32. 32.Solve: 4(t − 1) = t + 8. What is t?
  33. 33.Solve: 4n + 16 = 2n + 30. What is n?
  34. 34.Solve: 4(y − 3) = y + 30. What is y?
  35. 35.Solve: 3y + 18 = y + 48. What is y?
  36. 36.The length of a rectangle is 10 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  37. 37.The sum of two consecutive whole numbers is 69. What is the smallest of them?
  38. 38.The length of a rectangle is 3 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  39. 39.The sum of four consecutive whole numbers is 126. What is the smallest of them?
  40. 40.The sum of two consecutive whole numbers is 71. What is the smallest of them?

Answer key

  1. 14
  2. 11
  3. 4
  4. 28
  5. 10
  6. 60
  7. 51
  8. 3
  9. 10
  10. 3
  11. 1
  12. 7
  13. 13
  14. 48
  15. 10
  16. 2
  17. 3
  18. 11
  19. 21
  20. 11
  21. 6
  22. 42
  23. 28
  24. 12
  25. 34
  26. 14
  27. 26
  28. 5
  29. 23
  30. 15
  31. 8
  32. 4
  33. 7
  34. 14
  35. 15
  36. 9
  37. 34
  38. 20
  39. 30
  40. 35

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