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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 866 · 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: 9p + 3 = 7p + 25. What is p?
  2. 2.Solve: 4n + 8 = n + 50. What is n?
  3. 3.Solve: m/4 + m/2 = 24. What is m?
  4. 4.Solve: p/3 + p/5 = 24. What is p?
  5. 5.Solve: 4p + 19 = p + 40. What is p?
  6. 6.The length of a rectangle is 1 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  7. 7.Solve: 4x + 20 = 2x + 30. What is x?
  8. 8.The length of a rectangle is 7 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  9. 9.The sum of four consecutive whole numbers is 210. What is the largest of them?
  10. 10.Solve: 5(n − 2) = n + 42. What is n?
  11. 11.Solve: 6y + 9 = 5y + 18. What is y?
  12. 12.Solve: 3(m − 3) = 2m + 7. What is m?
  13. 13.Solve: 3(m − 4) = m + 8. What is m?
  14. 14.The length of a rectangle is 5 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  15. 15.Solve: 7p + 18 = 4p + 48. What is p?
  16. 16.The sum of four consecutive whole numbers is 210. What is the smallest of them?
  17. 17.The sum of three consecutive whole numbers is 90. What is the largest of them?
  18. 18.Solve: 5x + 2 = 4x + 12. What is x?
  19. 19.The sum of two consecutive whole numbers is 33. What is the smallest of them?
  20. 20.Solve: 6(p − 4) = 4p + 26. What is p?
  21. 21.Solve: x/4 + x/6 = 5. What is x?
  22. 22.Solve: 8t + 17 = 6t + 41. What is t?
  23. 23.Solve: n/2 + n/6 = 24. What is n?
  24. 24.The length of a rectangle is 5 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  25. 25.The sum of four consecutive whole numbers is 198. What is the largest of them?
  26. 26.The sum of three consecutive whole numbers is 18. What is the smallest of them?
  27. 27.A father is 9 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  28. 28.Solve: m/5 + m/6 = 22. What is m?
  29. 29.A father is 20 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  30. 30.A father is 18 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?
  31. 31.A father is 12 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  32. 32.A father is 36 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  33. 33.Solve: 8y + 17 = 2y + 95. What is y?
  34. 34.Solve: 5y + 5 = 2y + 11. What is y?
  35. 35.Solve: m/2 + m/3 = 5. What is m?
  36. 36.The sum of two consecutive whole numbers is 111. What is the smallest of them?
  37. 37.Solve: 9n + 1 = 2n + 78. What is n?
  38. 38.Solve: 7y + 11 = 2y + 31. What is y?
  39. 39.The length of a rectangle is 3 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
  40. 40.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?

Answer key

  1. 11
  2. 14
  3. 32
  4. 45
  5. 7
  6. 17
  7. 5
  8. 28
  9. 54
  10. 13
  11. 9
  12. 16
  13. 10
  14. 21
  15. 10
  16. 51
  17. 31
  18. 10
  19. 16
  20. 25
  21. 12
  22. 12
  23. 36
  24. 20
  25. 51
  26. 5
  27. 2
  28. 60
  29. 12
  30. 2
  31. 11
  32. 9
  33. 13
  34. 2
  35. 6
  36. 55
  37. 11
  38. 4
  39. 3
  40. 7

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