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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 535 · 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: 5(t − 1) = t + 19. What is t?
  2. 2.Solve: 8y + 18 = y + 116. What is y?
  3. 3.The length of a rectangle is 4 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  4. 4.Solve: 5(x − 4) = x + 32. What is x?
  5. 5.The sum of three consecutive whole numbers is 84. What is the smallest of them?
  6. 6.The sum of two consecutive whole numbers is 69. What is the largest of them?
  7. 7.Solve: 5(p − 5) = 2p + 26. What is p?
  8. 8.The length of a rectangle is 3 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  9. 9.Solve: 4(m − 3) = 2m + 18. What is m?
  10. 10.The length of a rectangle is 3 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  11. 11.A father is 36 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?
  12. 12.Solve: 5(p − 2) = 2p + 8. What is p?
  13. 13.Solve: 7t + 7 = 6t + 19. What is t?
  14. 14.Solve: t/2 + t/6 = 8. What is t?
  15. 15.Solve: 6(n − 3) = 3n + 12. What is n?
  16. 16.Solve: 4(t − 2) = t + 13. What is t?
  17. 17.Solve: 3(x − 5) = 2x + 7. What is x?
  18. 18.Solve: n/2 + n/4 = 3. What is n?
  19. 19.Solve: 4(n − 3) = 2n + 10. What is n?
  20. 20.The length of a rectangle is 13 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
  21. 21.The sum of four consecutive whole numbers is 30. What is the largest of them?
  22. 22.The length of a rectangle is 9 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  23. 23.Solve: n/5 + n/2 = 49. What is n?
  24. 24.The sum of two consecutive whole numbers is 95. What is the smallest of them?
  25. 25.The sum of two consecutive whole numbers is 57. What is the largest of them?
  26. 26.Solve: x/5 + x/3 = 24. What is x?
  27. 27.Solve: 3(y − 2) = 2y + 10. What is y?
  28. 28.Solve: 4p + 9 = 3p + 17. What is p?
  29. 29.Solve: y/2 + y/3 = 10. What is y?
  30. 30.Solve: x/4 + x/2 = 12. What is x?
  31. 31.Solve: 5(p − 4) = 2p + 31. What is p?
  32. 32.The sum of four consecutive whole numbers is 190. What is the largest of them?
  33. 33.The length of a rectangle is 2 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  34. 34.Solve: y/6 + y/3 = 12. What is y?
  35. 35.Solve: m/5 + m/6 = 77. What is m?
  36. 36.The length of a rectangle is 10 cm more than its width. Its perimeter is 60 cm. What is its width (in cm)?
  37. 37.The length of a rectangle is 5 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  38. 38.The sum of four consecutive whole numbers is 62. What is the smallest of them?
  39. 39.Solve: 3(n − 4) = 2n + 6. What is n?
  40. 40.A father is 26 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?

Answer key

  1. 6
  2. 14
  3. 12
  4. 13
  5. 27
  6. 35
  7. 17
  8. 14
  9. 15
  10. 8
  11. 7
  12. 6
  13. 12
  14. 12
  15. 10
  16. 7
  17. 22
  18. 4
  19. 11
  20. 28
  21. 9
  22. 22
  23. 70
  24. 47
  25. 29
  26. 45
  27. 16
  28. 8
  29. 12
  30. 16
  31. 17
  32. 49
  33. 28
  34. 24
  35. 210
  36. 10
  37. 19
  38. 14
  39. 18
  40. 8

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