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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 306 · 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: 7t + 1 = 6t + 5. What is t?
  2. 2.Solve: 7y + 3 = 4y + 36. What is y?
  3. 3.Solve: p/3 + p/2 = 5. What is p?
  4. 4.Solve: t/4 + t/2 = 3. What is t?
  5. 5.The length of a rectangle is 13 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  6. 6.A father is 13 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  7. 7.Solve: 5(y − 1) = 3y + 7. What is y?
  8. 8.A father is 20 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?
  9. 9.The length of a rectangle is 6 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  10. 10.Solve: 5y + 11 = 2y + 47. What is y?
  11. 11.Solve: m/3 + m/4 = 49. What is m?
  12. 12.Solve: 5(x − 5) = 2x + 38. What is x?
  13. 13.The length of a rectangle is 7 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  14. 14.Solve: 5(t − 5) = 2t + 38. What is t?
  15. 15.Solve: 5p + 16 = 3p + 38. What is p?
  16. 16.Solve: 4(m − 1) = m + 11. What is m?
  17. 17.Solve: 3(n − 1) = 2n + 13. What is n?
  18. 18.Solve: 6p + 12 = 5p + 13. What is p?
  19. 19.Solve: n/5 + n/3 = 40. What is n?
  20. 20.Solve: x/3 + x/5 = 8. What is x?
  21. 21.Solve: 4t + 5 = t + 11. What is t?
  22. 22.Solve: n/4 + n/2 = 24. What is n?
  23. 23.Solve: t/2 + t/6 = 20. What is t?
  24. 24.The sum of three consecutive whole numbers is 51. What is the smallest of them?
  25. 25.Solve: 9y + 18 = 5y + 34. What is y?
  26. 26.Solve: 3m + 1 = m + 9. What is m?
  27. 27.Solve: x/3 + x/5 = 48. What is x?
  28. 28.The length of a rectangle is 12 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  29. 29.Solve: 5y + 6 = 2y + 48. What is y?
  30. 30.Solve: 4(m − 1) = 2m + 12. What is m?
  31. 31.Solve: 4m + 16 = m + 25. What is m?
  32. 32.The length of a rectangle is 10 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
  33. 33.The sum of four consecutive whole numbers is 62. What is the largest of them?
  34. 34.The length of a rectangle is 13 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  35. 35.The length of a rectangle is 4 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  36. 36.The sum of three consecutive whole numbers is 30. What is the largest of them?
  37. 37.A father is 28 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  38. 38.Solve: 3n + 15 = n + 23. What is n?
  39. 39.A father is 39 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?
  40. 40.The sum of two consecutive whole numbers is 35. What is the largest of them?

Answer key

  1. 4
  2. 11
  3. 6
  4. 4
  5. 25
  6. 9
  7. 6
  8. 5
  9. 4
  10. 12
  11. 84
  12. 21
  13. 15
  14. 21
  15. 11
  16. 5
  17. 16
  18. 1
  19. 75
  20. 15
  21. 2
  22. 32
  23. 30
  24. 16
  25. 4
  26. 4
  27. 90
  28. 5
  29. 14
  30. 8
  31. 3
  32. 29
  33. 17
  34. 18
  35. 20
  36. 11
  37. 11
  38. 4
  39. 7
  40. 18

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