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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 153 · 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: x/2 + x/3 = 15. What is x?
  2. 2.The length of a rectangle is 1 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  3. 3.Solve: 6p + 12 = 2p + 32. What is p?
  4. 4.A father is 15 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  5. 5.The length of a rectangle is 10 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  6. 6.Solve: 3(n − 3) = n + 25. What is n?
  7. 7.Solve: 7n + 13 = n + 19. What is n?
  8. 8.The length of a rectangle is 2 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  9. 9.The sum of three consecutive whole numbers is 21. What is the smallest of them?
  10. 10.Solve: p/3 + p/4 = 7. What is p?
  11. 11.Solve: 3(y − 1) = y + 17. What is y?
  12. 12.Solve: 4m + 2 = m + 8. What is m?
  13. 13.Solve: 6x + 4 = 2x + 40. What is x?
  14. 14.Solve: 7t + 10 = t + 22. What is t?
  15. 15.The sum of three consecutive whole numbers is 66. What is the largest of them?
  16. 16.Solve: 6y + 4 = 3y + 16. What is y?
  17. 17.The length of a rectangle is 2 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  18. 18.Solve: 3n + 18 = n + 26. What is n?
  19. 19.The sum of four consecutive whole numbers is 186. What is the largest of them?
  20. 20.The length of a rectangle is 4 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  21. 21.The sum of two consecutive whole numbers is 13. What is the largest of them?
  22. 22.A father is 24 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  23. 23.Solve: 4(t − 2) = 3t + 10. What is t?
  24. 24.The sum of two consecutive whole numbers is 109. What is the smallest of them?
  25. 25.Solve: 8t + 15 = 5t + 18. What is t?
  26. 26.The sum of four consecutive whole numbers is 78. What is the smallest of them?
  27. 27.The length of a rectangle is 14 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  28. 28.Solve: n/4 + n/6 = 30. What is n?
  29. 29.Solve: 3(n − 4) = n + 6. What is n?
  30. 30.Solve: 3(y − 5) = 2y + 9. What is y?
  31. 31.Solve: n/5 + n/2 = 56. What is n?
  32. 32.The sum of two consecutive whole numbers is 31. What is the smallest of them?
  33. 33.The length of a rectangle is 1 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  34. 34.Solve: 5x + 14 = 3x + 28. What is x?
  35. 35.Solve: 3(x − 2) = x + 20. What is x?
  36. 36.Solve: p/5 + p/6 = 88. What is p?
  37. 37.Solve: t/3 + t/2 = 15. What is t?
  38. 38.Solve: 3(x − 2) = 2x + 10. What is x?
  39. 39.Solve: 7n + 15 = n + 105. What is n?
  40. 40.Solve: 5(m − 5) = m + 31. What is m?

Answer key

  1. 18
  2. 14
  3. 5
  4. 3
  5. 16
  6. 17
  7. 1
  8. 14
  9. 6
  10. 12
  11. 10
  12. 2
  13. 9
  14. 2
  15. 23
  16. 4
  17. 20
  18. 4
  19. 48
  20. 7
  21. 7
  22. 7
  23. 18
  24. 54
  25. 1
  26. 18
  27. 8
  28. 72
  29. 9
  30. 24
  31. 80
  32. 15
  33. 25
  34. 7
  35. 13
  36. 240
  37. 18
  38. 16
  39. 15
  40. 14

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