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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 950 · 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: n/4 + n/5 = 36. What is n?
  2. 2.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?
  3. 3.Solve: 3(p − 5) = 2p + 5. What is p?
  4. 4.A father is 51 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  5. 5.Solve: n/3 + n/4 = 28. What is n?
  6. 6.Solve: 5(p − 1) = p + 7. What is p?
  7. 7.Solve: 3(m − 5) = m + 13. What is m?
  8. 8.Solve: 4p + 13 = 3p + 15. What is p?
  9. 9.A father is 16 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  10. 10.Solve: 5x + 3 = 4x + 4. What is x?
  11. 11.A father is 19 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  12. 12.Solve: 6(x − 3) = 4x + 20. What is x?
  13. 13.Solve: 7t + 4 = t + 22. What is t?
  14. 14.The length of a rectangle is 11 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  15. 15.The sum of three consecutive whole numbers is 90. What is the smallest of them?
  16. 16.The sum of four consecutive whole numbers is 138. What is the smallest of them?
  17. 17.Solve: 3(n − 4) = 2n + 12. What is n?
  18. 18.The sum of three consecutive whole numbers is 108. What is the largest of them?
  19. 19.A father is 26 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?
  20. 20.The sum of two consecutive whole numbers is 21. What is the smallest of them?
  21. 21.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  22. 22.The sum of four consecutive whole numbers is 86. What is the largest of them?
  23. 23.A father is 48 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?
  24. 24.Solve: 5p + 5 = 2p + 44. What is p?
  25. 25.Solve: 5n + 3 = 2n + 24. What is n?
  26. 26.Solve: x/4 + x/5 = 54. What is x?
  27. 27.Solve: 4(y − 3) = 2y + 12. What is y?
  28. 28.Solve: 3(t − 2) = t + 10. What is t?
  29. 29.Solve: x/2 + x/4 = 15. What is x?
  30. 30.Solve: x/4 + x/2 = 12. What is x?
  31. 31.The length of a rectangle is 9 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  32. 32.The sum of two consecutive whole numbers is 25. What is the smallest of them?
  33. 33.The sum of two consecutive whole numbers is 97. What is the smallest of them?
  34. 34.The sum of two consecutive whole numbers is 77. What is the smallest of them?
  35. 35.Solve: m/2 + m/6 = 24. What is m?
  36. 36.The length of a rectangle is 10 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  37. 37.Solve: t/3 + t/2 = 10. What is t?
  38. 38.The sum of three consecutive whole numbers is 42. What is the largest of them?
  39. 39.The length of a rectangle is 10 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  40. 40.Solve: 8x + 13 = 3x + 38. What is x?

Answer key

  1. 80
  2. 11
  3. 20
  4. 10
  5. 48
  6. 3
  7. 14
  8. 2
  9. 10
  10. 1
  11. 12
  12. 19
  13. 3
  14. 4
  15. 29
  16. 33
  17. 24
  18. 37
  19. 12
  20. 10
  21. 4
  22. 23
  23. 12
  24. 13
  25. 7
  26. 120
  27. 12
  28. 8
  29. 20
  30. 16
  31. 5
  32. 12
  33. 48
  34. 38
  35. 36
  36. 8
  37. 12
  38. 15
  39. 2
  40. 5

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