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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 15 · 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: 9n + 1 = n + 41. What is n?
  2. 2.The sum of two consecutive whole numbers is 103. What is the smallest of them?
  3. 3.The length of a rectangle is 6 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  4. 4.The sum of three consecutive whole numbers is 165. What is the largest of them?
  5. 5.A father is 14 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?
  6. 6.A father is 39 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  7. 7.Solve: 5y + 14 = 2y + 35. What is y?
  8. 8.Solve: 4y + 11 = 2y + 19. What is y?
  9. 9.Solve: 5(n − 3) = 2n + 21. What is n?
  10. 10.Solve: t/5 + t/3 = 24. What is t?
  11. 11.Solve: 4(x − 2) = 2x + 22. What is x?
  12. 12.Solve: 7t + 4 = 3t + 44. What is t?
  13. 13.Solve: 6t + 1 = 4t + 17. What is t?
  14. 14.The sum of three consecutive whole numbers is 150. What is the smallest of them?
  15. 15.A father is 42 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?
  16. 16.The length of a rectangle is 10 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  17. 17.Solve: 3(x − 3) = 2x + 3. What is x?
  18. 18.Solve: m/2 + m/3 = 40. What is m?
  19. 19.Solve: 5p + 2 = 2p + 14. What is p?
  20. 20.The length of a rectangle is 2 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  21. 21.Solve: 9n + 7 = 4n + 12. What is n?
  22. 22.The sum of four consecutive whole numbers is 30. What is the largest of them?
  23. 23.Solve: 5m + 18 = 3m + 32. What is m?
  24. 24.Solve: t/6 + t/5 = 44. What is t?
  25. 25.The sum of two consecutive whole numbers is 29. What is the largest of them?
  26. 26.Solve: 4x + 1 = x + 37. What is x?
  27. 27.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  28. 28.Solve: 7p + 2 = 4p + 44. What is p?
  29. 29.Solve: 6(m − 4) = 3m + 27. What is m?
  30. 30.A father is 26 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  31. 31.The length of a rectangle is 11 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  32. 32.The sum of four consecutive whole numbers is 178. What is the smallest of them?
  33. 33.Solve: 9n + 19 = 6n + 40. What is n?
  34. 34.Solve: 3(p − 3) = p + 11. What is p?
  35. 35.Solve: 9t + 18 = 6t + 51. What is t?
  36. 36.Solve: 8x + 19 = 3x + 34. What is x?
  37. 37.The length of a rectangle is 13 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  38. 38.Solve: 7x + 2 = 3x + 58. What is x?
  39. 39.The sum of four consecutive whole numbers is 230. What is the largest of them?
  40. 40.The length of a rectangle is 15 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?

Answer key

  1. 5
  2. 51
  3. 22
  4. 56
  5. 2
  6. 7
  7. 7
  8. 4
  9. 12
  10. 45
  11. 15
  12. 10
  13. 8
  14. 49
  15. 9
  16. 13
  17. 12
  18. 48
  19. 4
  20. 6
  21. 1
  22. 9
  23. 7
  24. 120
  25. 15
  26. 12
  27. 3
  28. 14
  29. 17
  30. 7
  31. 13
  32. 43
  33. 7
  34. 10
  35. 11
  36. 3
  37. 23
  38. 14
  39. 59
  40. 15

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