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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 722 · 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: 6y + 4 = 5y + 16. What is y?
  2. 2.A father is 8 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?
  3. 3.Solve: 5(m − 4) = 2m + 7. What is m?
  4. 4.The sum of four consecutive whole numbers is 202. What is the smallest of them?
  5. 5.The sum of four consecutive whole numbers is 106. What is the smallest of them?
  6. 6.A father is 30 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  7. 7.Solve: 6(m − 2) = 3m + 18. What is m?
  8. 8.Solve: 4t + 18 = 2t + 42. What is t?
  9. 9.Solve: 8x + 11 = 7x + 13. What is x?
  10. 10.Solve: 8x + 4 = 4x + 52. What is x?
  11. 11.Solve: n/2 + n/6 = 12. What is n?
  12. 12.The sum of four consecutive whole numbers is 174. What is the smallest of them?
  13. 13.Solve: 4(p − 4) = 3p + 8. What is p?
  14. 14.Solve: x/4 + x/2 = 18. What is x?
  15. 15.The length of a rectangle is 15 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  16. 16.Solve: 3t + 17 = t + 39. What is t?
  17. 17.Solve: p/2 + p/3 = 40. What is p?
  18. 18.The length of a rectangle is 14 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  19. 19.Solve: 3(n − 2) = 2n + 6. What is n?
  20. 20.Solve: y/6 + y/2 = 24. What is y?
  21. 21.Solve: y/6 + y/4 = 25. What is y?
  22. 22.The sum of two consecutive whole numbers is 59. What is the smallest of them?
  23. 23.Solve: 3(t − 1) = t + 1. What is t?
  24. 24.Solve: 5(p − 3) = 2p + 24. What is p?
  25. 25.Solve: 5(m − 5) = 2m + 8. What is m?
  26. 26.Solve: 7x + 1 = 2x + 66. What is x?
  27. 27.A father is 26 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  28. 28.Solve: 9x + 17 = 6x + 38. What is x?
  29. 29.The length of a rectangle is 7 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  30. 30.The sum of two consecutive whole numbers is 47. What is the largest of them?
  31. 31.The sum of three consecutive whole numbers is 129. What is the largest of them?
  32. 32.The sum of two consecutive whole numbers is 47. What is the smallest of them?
  33. 33.The length of a rectangle is 5 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  34. 34.Solve: p/3 + p/2 = 35. What is p?
  35. 35.The length of a rectangle is 13 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  36. 36.Solve: 4(t − 3) = t + 15. What is t?
  37. 37.Solve: y/2 + y/4 = 12. What is y?
  38. 38.Solve: y/5 + y/2 = 28. What is y?
  39. 39.Solve: m/2 + m/3 = 35. What is m?
  40. 40.The sum of two consecutive whole numbers is 51. What is the smallest of them?

Answer key

  1. 12
  2. 2
  3. 9
  4. 49
  5. 25
  6. 7
  7. 10
  8. 12
  9. 2
  10. 12
  11. 18
  12. 42
  13. 24
  14. 24
  15. 14
  16. 11
  17. 48
  18. 2
  19. 12
  20. 36
  21. 60
  22. 29
  23. 2
  24. 13
  25. 11
  26. 13
  27. 9
  28. 7
  29. 9
  30. 24
  31. 44
  32. 23
  33. 10
  34. 42
  35. 8
  36. 9
  37. 16
  38. 40
  39. 42
  40. 25

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