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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 32 · 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.The sum of two consecutive whole numbers is 49. What is the smallest of them?
  2. 2.Solve: 3(p − 2) = p + 10. What is p?
  3. 3.Solve: 9x + 6 = 8x + 16. What is x?
  4. 4.Solve: n/3 + n/6 = 12. What is n?
  5. 5.Solve: 3(n − 2) = 2n + 7. What is n?
  6. 6.A father is 6 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  7. 7.Solve: m/5 + m/4 = 9. What is m?
  8. 8.Solve: x/5 + x/4 = 72. What is x?
  9. 9.The length of a rectangle is 10 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  10. 10.Solve: 9p + 2 = 8p + 4. What is p?
  11. 11.Solve: 3(m − 1) = 2m + 11. What is m?
  12. 12.Solve: 3(y − 3) = y + 25. What is y?
  13. 13.Solve: 3x + 17 = 2x + 32. What is x?
  14. 14.The sum of two consecutive whole numbers is 121. What is the largest of them?
  15. 15.The sum of three consecutive whole numbers is 39. What is the largest of them?
  16. 16.The sum of two consecutive whole numbers is 67. What is the smallest of them?
  17. 17.The sum of three consecutive whole numbers is 90. What is the largest of them?
  18. 18.A father is 14 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  19. 19.The sum of three consecutive whole numbers is 18. What is the largest of them?
  20. 20.The length of a rectangle is 12 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  21. 21.Solve: 3(y − 2) = 2y + 4. What is y?
  22. 22.Solve: p/2 + p/3 = 10. What is p?
  23. 23.A father is 10 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  24. 24.Solve: 5(p − 5) = p + 7. What is p?
  25. 25.Solve: 6m + 5 = m + 70. What is m?
  26. 26.Solve: 8x + 19 = 3x + 39. What is x?
  27. 27.The sum of two consecutive whole numbers is 13. What is the smallest of them?
  28. 28.The length of a rectangle is 3 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  29. 29.Solve: 4m + 12 = m + 54. What is m?
  30. 30.The length of a rectangle is 1 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  31. 31.The sum of four consecutive whole numbers is 202. What is the smallest of them?
  32. 32.Solve: t/5 + t/4 = 27. What is t?
  33. 33.The sum of four consecutive whole numbers is 38. What is the smallest of them?
  34. 34.A father is 12 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  35. 35.Solve: 5(t − 2) = 2t + 35. What is t?
  36. 36.A father is 51 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?
  37. 37.A father is 33 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  38. 38.Solve: 5(p − 4) = 2p + 19. What is p?
  39. 39.Solve: x/6 + x/5 = 33. What is x?
  40. 40.Solve: 9y + 20 = 6y + 59. What is y?

Answer key

  1. 24
  2. 8
  3. 10
  4. 24
  5. 13
  6. 3
  7. 20
  8. 160
  9. 9
  10. 2
  11. 14
  12. 17
  13. 15
  14. 61
  15. 14
  16. 33
  17. 31
  18. 5
  19. 7
  20. 15
  21. 10
  22. 12
  23. 9
  24. 8
  25. 13
  26. 4
  27. 6
  28. 11
  29. 14
  30. 27
  31. 49
  32. 60
  33. 8
  34. 10
  35. 15
  36. 11
  37. 7
  38. 13
  39. 90
  40. 13

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