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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 933 · 40 sums
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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: m/6 + m/2 = 16. What is m?
  2. 2.Solve: 3t + 17 = t + 41. What is t?
  3. 3.Solve: 4(p − 2) = 3p + 10. What is p?
  4. 4.A father is 28 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?
  5. 5.Solve: 4(p − 1) = p + 20. What is p?
  6. 6.Solve: t/6 + t/5 = 88. What is t?
  7. 7.Solve: n/2 + n/4 = 3. What is n?
  8. 8.A father is 13 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  9. 9.Solve: 4x + 19 = x + 64. What is x?
  10. 10.The sum of three consecutive whole numbers is 81. What is the smallest of them?
  11. 11.Solve: t/5 + t/2 = 42. What is t?
  12. 12.A father is 42 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?
  13. 13.The length of a rectangle is 2 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  14. 14.The sum of four consecutive whole numbers is 86. What is the largest of them?
  15. 15.Solve: p/4 + p/5 = 54. What is p?
  16. 16.Solve: t/6 + t/3 = 3. What is t?
  17. 17.Solve: 6(x − 5) = 2x + 50. What is x?
  18. 18.The sum of three consecutive whole numbers is 99. What is the largest of them?
  19. 19.A father is 18 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.A father is 12 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?
  21. 21.Solve: n/4 + n/3 = 56. What is n?
  22. 22.Solve: 8x + 10 = 3x + 25. What is x?
  23. 23.Solve: 4x + 8 = x + 47. What is x?
  24. 24.Solve: t/5 + t/2 = 35. What is t?
  25. 25.Solve: m/5 + m/2 = 35. What is m?
  26. 26.Solve: 4x + 13 = 2x + 39. What is x?
  27. 27.Solve: 3(p − 2) = 2p + 10. What is p?
  28. 28.Solve: 6(p − 5) = 2p + 22. What is p?
  29. 29.Solve: y/3 + y/5 = 8. What is y?
  30. 30.Solve: 3x + 18 = 2x + 30. What is x?
  31. 31.The sum of three consecutive whole numbers is 144. What is the smallest of them?
  32. 32.Solve: 4(x − 5) = x + 37. What is x?
  33. 33.The length of a rectangle is 7 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  34. 34.Solve: x/5 + x/4 = 72. What is x?
  35. 35.A father is 57 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?
  36. 36.The length of a rectangle is 5 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  37. 37.Solve: 6(m − 1) = 5m + 11. What is m?
  38. 38.Solve: 4(n − 2) = n + 31. What is n?
  39. 39.The sum of four consecutive whole numbers is 30. What is the smallest of them?
  40. 40.The sum of three consecutive whole numbers is 117. What is the smallest of them?

Answer key

  1. 24
  2. 12
  3. 18
  4. 8
  5. 8
  6. 240
  7. 4
  8. 7
  9. 15
  10. 26
  11. 60
  12. 7
  13. 13
  14. 23
  15. 120
  16. 6
  17. 20
  18. 34
  19. 8
  20. 4
  21. 96
  22. 3
  23. 13
  24. 50
  25. 50
  26. 13
  27. 16
  28. 13
  29. 15
  30. 12
  31. 47
  32. 19
  33. 30
  34. 160
  35. 12
  36. 19
  37. 17
  38. 13
  39. 6
  40. 38

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