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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 987 · 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.A father is 8 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  2. 2.A father is 42 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  3. 3.The sum of four consecutive whole numbers is 218. What is the smallest of them?
  4. 4.The sum of three consecutive whole numbers is 84. What is the largest of them?
  5. 5.Solve: 6(m − 3) = m + 7. What is m?
  6. 6.A father is 9 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  7. 7.Solve: 4x + 5 = x + 11. What is x?
  8. 8.The sum of two consecutive whole numbers is 117. What is the smallest of them?
  9. 9.Solve: n/5 + n/6 = 55. What is n?
  10. 10.A father is 27 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?
  11. 11.Solve: 6p + 18 = 3p + 39. What is p?
  12. 12.Solve: 9n + 6 = 3n + 54. What is n?
  13. 13.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?
  14. 14.Solve: 7p + 13 = 5p + 25. What is p?
  15. 15.Solve: m/4 + m/3 = 28. What is m?
  16. 16.Solve: 6(m − 5) = 3m + 36. What is m?
  17. 17.Solve: y/6 + y/4 = 5. What is y?
  18. 18.A father is 57 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  19. 19.Solve: 4(x − 2) = 2x + 2. What is x?
  20. 20.The length of a rectangle is 14 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  21. 21.The sum of three consecutive whole numbers is 144. What is the smallest of them?
  22. 22.Solve: p/5 + p/2 = 7. What is p?
  23. 23.Solve: 3(t − 1) = t + 13. What is t?
  24. 24.A father is 11 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  25. 25.Solve: m/3 + m/5 = 64. What is m?
  26. 26.The length of a rectangle is 4 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  27. 27.Solve: p/3 + p/2 = 10. What is p?
  28. 28.Solve: 6(t − 2) = 5t + 10. What is t?
  29. 29.Solve: 3(t − 1) = 2t + 1. What is t?
  30. 30.Solve: n/5 + n/3 = 16. What is n?
  31. 31.Solve: 4(x − 3) = x + 3. What is x?
  32. 32.Solve: 5y + 13 = 4y + 26. What is y?
  33. 33.The sum of two consecutive whole numbers is 25. What is the smallest of them?
  34. 34.Solve: 5(t − 3) = 2t + 36. What is t?
  35. 35.The sum of two consecutive whole numbers is 67. What is the smallest of them?
  36. 36.Solve: n/4 + n/2 = 24. What is n?
  37. 37.Solve: 7n + 5 = n + 47. What is n?
  38. 38.Solve: 6(x − 1) = x + 34. What is x?
  39. 39.Solve: 6(t − 3) = 4t + 12. What is t?
  40. 40.A father is 13 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 3
  2. 6
  3. 53
  4. 29
  5. 5
  6. 8
  7. 2
  8. 58
  9. 150
  10. 7
  11. 7
  12. 8
  13. 8
  14. 6
  15. 48
  16. 22
  17. 12
  18. 11
  19. 5
  20. 13
  21. 47
  22. 10
  23. 8
  24. 10
  25. 120
  26. 23
  27. 12
  28. 22
  29. 4
  30. 30
  31. 5
  32. 13
  33. 12
  34. 17
  35. 33
  36. 32
  37. 7
  38. 8
  39. 15
  40. 6

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