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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 911 · 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: 4(p − 5) = p + 4. What is p?
  2. 2.Solve: 6x + 3 = 5x + 5. What is x?
  3. 3.Solve: 5n + 8 = 4n + 14. What is n?
  4. 4.A father is 15 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?
  5. 5.The length of a rectangle is 3 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  6. 6.Solve: 5(n − 2) = 2n + 23. What is n?
  7. 7.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?
  8. 8.Solve: 8n + 2 = 6n + 6. What is n?
  9. 9.Solve: m/5 + m/4 = 27. What is m?
  10. 10.A father is 34 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  11. 11.Solve: 8p + 17 = 6p + 25. What is p?
  12. 12.The length of a rectangle is 4 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  13. 13.The length of a rectangle is 11 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  14. 14.A father is 20 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?
  15. 15.The sum of two consecutive whole numbers is 83. What is the smallest of them?
  16. 16.The length of a rectangle is 7 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  17. 17.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
  18. 18.Solve: 7x + 1 = 4x + 19. What is x?
  19. 19.Solve: 6(p − 3) = 2p + 42. What is p?
  20. 20.Solve: 3x + 8 = x + 20. What is x?
  21. 21.The sum of four consecutive whole numbers is 38. What is the largest of them?
  22. 22.Solve: n/4 + n/3 = 14. What is n?
  23. 23.Solve: p/4 + p/2 = 9. What is p?
  24. 24.The sum of two consecutive whole numbers is 93. What is the largest of them?
  25. 25.Solve: 4(p − 5) = p + 22. What is p?
  26. 26.Solve: 5(x − 1) = 4x + 6. What is x?
  27. 27.Solve: 7t + 16 = 2t + 91. What is t?
  28. 28.Solve: n/2 + n/3 = 15. What is n?
  29. 29.A father is 34 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?
  30. 30.The sum of two consecutive whole numbers is 101. What is the largest of them?
  31. 31.Solve: 4(p − 3) = p + 6. What is p?
  32. 32.Solve: m/6 + m/4 = 25. What is m?
  33. 33.The sum of four consecutive whole numbers is 146. What is the largest of them?
  34. 34.Solve: x/3 + x/2 = 15. What is x?
  35. 35.Solve: 4(p − 3) = 3p + 12. What is p?
  36. 36.Solve: y/6 + y/2 = 28. What is y?
  37. 37.Solve: 3p + 19 = 2p + 29. What is p?
  38. 38.The length of a rectangle is 7 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  39. 39.Solve: 5(t − 5) = t + 7. What is t?
  40. 40.Solve: p/4 + p/5 = 63. What is p?

Answer key

  1. 8
  2. 2
  3. 6
  4. 3
  5. 23
  6. 11
  7. 3
  8. 2
  9. 60
  10. 10
  11. 4
  12. 6
  13. 4
  14. 4
  15. 41
  16. 15
  17. 3
  18. 6
  19. 15
  20. 6
  21. 11
  22. 24
  23. 12
  24. 47
  25. 14
  26. 11
  27. 15
  28. 18
  29. 12
  30. 51
  31. 6
  32. 60
  33. 38
  34. 18
  35. 24
  36. 42
  37. 10
  38. 18
  39. 8
  40. 140

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