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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 141 · 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(p − 3) = p + 29. What is p?
  2. 2.The length of a rectangle is 15 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  3. 3.A father is 20 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  4. 4.The sum of three consecutive whole numbers is 153. What is the largest of them?
  5. 5.Solve: 3x + 7 = x + 25. What is x?
  6. 6.Solve: 4(m − 2) = m + 7. What is m?
  7. 7.The sum of two consecutive whole numbers is 117. What is the smallest of them?
  8. 8.Solve: p/2 + p/3 = 10. What is p?
  9. 9.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  10. 10.Solve: 8y + 14 = 7y + 26. What is y?
  11. 11.Solve: 4(x − 1) = x + 38. What is x?
  12. 12.The length of a rectangle is 13 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  13. 13.Solve: m/3 + m/4 = 56. What is m?
  14. 14.Solve: y/6 + y/2 = 12. What is y?
  15. 15.Solve: 4y + 4 = y + 19. What is y?
  16. 16.The length of a rectangle is 14 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  17. 17.The length of a rectangle is 7 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  18. 18.Solve: 3(x − 3) = x + 11. What is x?
  19. 19.The length of a rectangle is 3 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  20. 20.The length of a rectangle is 2 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  21. 21.Solve: 3(m − 4) = 2m + 12. What is m?
  22. 22.The length of a rectangle is 13 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  23. 23.Solve: 7y + 5 = y + 95. What is y?
  24. 24.Solve: m/5 + m/6 = 44. What is m?
  25. 25.Solve: 3(p − 1) = p + 17. What is p?
  26. 26.The length of a rectangle is 3 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  27. 27.The length of a rectangle is 13 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  28. 28.Solve: 5(x − 3) = 3x + 11. What is x?
  29. 29.The sum of four consecutive whole numbers is 174. What is the largest of them?
  30. 30.Solve: 5(t − 5) = 4t + 7. What is t?
  31. 31.The sum of four consecutive whole numbers is 190. What is the largest of them?
  32. 32.Solve: x/6 + x/2 = 12. What is x?
  33. 33.The sum of four consecutive whole numbers is 218. What is the smallest of them?
  34. 34.The sum of three consecutive whole numbers is 132. What is the largest of them?
  35. 35.A father is 39 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?
  36. 36.The sum of four consecutive whole numbers is 234. What is the largest of them?
  37. 37.The length of a rectangle is 1 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  38. 38.Solve: 3y + 7 = 2y + 14. What is y?
  39. 39.Solve: p/2 + p/4 = 21. What is p?
  40. 40.Solve: x/4 + x/5 = 45. What is x?

Answer key

  1. 11
  2. 7
  3. 2
  4. 52
  5. 9
  6. 5
  7. 58
  8. 12
  9. 11
  10. 12
  11. 14
  12. 11
  13. 96
  14. 18
  15. 5
  16. 9
  17. 30
  18. 10
  19. 19
  20. 23
  21. 24
  22. 12
  23. 15
  24. 120
  25. 10
  26. 27
  27. 7
  28. 13
  29. 45
  30. 32
  31. 49
  32. 18
  33. 53
  34. 45
  35. 12
  36. 60
  37. 14
  38. 7
  39. 28
  40. 100

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