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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 177 · 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: p/5 + p/2 = 42. What is p?
  2. 2.A father is 33 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?
  3. 3.The sum of four consecutive whole numbers is 78. What is the smallest of them?
  4. 4.Solve: 5(x − 1) = 2x + 7. What is x?
  5. 5.The length of a rectangle is 9 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  6. 6.The sum of two consecutive whole numbers is 69. What is the largest of them?
  7. 7.Solve: 4(p − 5) = p + 34. What is p?
  8. 8.The sum of four consecutive whole numbers is 34. What is the smallest of them?
  9. 9.Solve: t/4 + t/3 = 14. What is t?
  10. 10.Solve: 5(y − 1) = 4y + 9. What is y?
  11. 11.The sum of two consecutive whole numbers is 73. What is the largest of them?
  12. 12.The length of a rectangle is 12 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
  13. 13.The sum of three consecutive whole numbers is 90. What is the smallest of them?
  14. 14.The length of a rectangle is 10 cm more than its width. Its perimeter is 84 cm. What is its width (in cm)?
  15. 15.Solve: x/4 + x/5 = 27. What is x?
  16. 16.Solve: 4(t − 3) = 2t + 16. What is t?
  17. 17.Solve: 9p + 17 = 7p + 31. What is p?
  18. 18.Solve: 3(x − 4) = x + 24. What is x?
  19. 19.Solve: p/2 + p/6 = 8. What is p?
  20. 20.The length of a rectangle is 11 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  21. 21.Solve: y/4 + y/2 = 15. What is y?
  22. 22.The length of a rectangle is 15 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  23. 23.Solve: 5(y − 4) = 2y + 13. What is y?
  24. 24.Solve: 3(x − 1) = x + 11. What is x?
  25. 25.The sum of three consecutive whole numbers is 72. What is the largest of them?
  26. 26.Solve: x/4 + x/5 = 54. What is x?
  27. 27.The length of a rectangle is 2 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  28. 28.Solve: n/5 + n/2 = 42. What is n?
  29. 29.The length of a rectangle is 3 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  30. 30.The sum of three consecutive whole numbers is 183. What is the smallest of them?
  31. 31.Solve: 3(n − 1) = 2n + 11. What is n?
  32. 32.A father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  33. 33.A father is 21 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?
  34. 34.Solve: x/3 + x/6 = 24. What is x?
  35. 35.Solve: 6x + 10 = 2x + 26. What is x?
  36. 36.The sum of three consecutive whole numbers is 81. What is the largest of them?
  37. 37.Solve: n/2 + n/6 = 20. What is n?
  38. 38.The length of a rectangle is 3 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  39. 39.Solve: 9y + 6 = y + 14. What is y?
  40. 40.A father is 11 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 60
  2. 5
  3. 18
  4. 4
  5. 29
  6. 35
  7. 18
  8. 7
  9. 24
  10. 14
  11. 37
  12. 17
  13. 29
  14. 16
  15. 60
  16. 14
  17. 7
  18. 18
  19. 12
  20. 22
  21. 20
  22. 20
  23. 11
  24. 7
  25. 25
  26. 120
  27. 28
  28. 60
  29. 10
  30. 60
  31. 14
  32. 9
  33. 5
  34. 48
  35. 4
  36. 28
  37. 30
  38. 11
  39. 1
  40. 9

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