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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 5 · 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.The sum of four consecutive whole numbers is 110. What is the smallest of them?
  2. 2.Solve: 5(p − 4) = 4p + 11. What is p?
  3. 3.Solve: 4(n − 5) = n + 25. What is n?
  4. 4.The sum of four consecutive whole numbers is 230. What is the smallest of them?
  5. 5.Solve: 3(t − 2) = 2t + 6. What is t?
  6. 6.A father is 18 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  7. 7.Solve: 4(x − 1) = 3x + 11. What is x?
  8. 8.Solve: m/2 + m/3 = 30. What is m?
  9. 9.The length of a rectangle is 15 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  10. 10.The length of a rectangle is 2 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
  11. 11.A father is 10 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?
  12. 12.A father is 18 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?
  13. 13.Solve: n/3 + n/4 = 21. What is n?
  14. 14.Solve: 5n + 20 = 3n + 30. What is n?
  15. 15.The sum of two consecutive whole numbers is 31. What is the largest of them?
  16. 16.Solve: 4(t − 5) = t + 1. What is t?
  17. 17.Solve: 4(y − 3) = y + 9. What is y?
  18. 18.Solve: x/3 + x/2 = 15. What is x?
  19. 19.The length of a rectangle is 7 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  20. 20.Solve: 4t + 5 = t + 26. What is t?
  21. 21.Solve: 7x + 14 = 6x + 29. What is x?
  22. 22.A father is 24 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?
  23. 23.The sum of two consecutive whole numbers is 15. What is the smallest of them?
  24. 24.Solve: m/4 + m/2 = 3. What is m?
  25. 25.Solve: 7y + 14 = 6y + 16. What is y?
  26. 26.The length of a rectangle is 6 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  27. 27.Solve: 3(m − 2) = 2m + 7. What is m?
  28. 28.The length of a rectangle is 7 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  29. 29.Solve: p/2 + p/5 = 35. What is p?
  30. 30.The sum of two consecutive whole numbers is 67. What is the smallest of them?
  31. 31.Solve: 6(y − 4) = 3y + 6. What is y?
  32. 32.The length of a rectangle is 11 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  33. 33.Solve: m/6 + m/4 = 30. What is m?
  34. 34.The length of a rectangle is 10 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  35. 35.Solve: y/4 + y/3 = 56. What is y?
  36. 36.Solve: 4p + 11 = p + 53. What is p?
  37. 37.Solve: 5n + 4 = 2n + 49. What is n?
  38. 38.Solve: 4(n − 2) = 2n + 20. What is n?
  39. 39.The sum of four consecutive whole numbers is 138. What is the smallest of them?
  40. 40.The length of a rectangle is 5 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?

Answer key

  1. 26
  2. 31
  3. 15
  4. 56
  5. 12
  6. 11
  7. 15
  8. 36
  9. 3
  10. 6
  11. 2
  12. 4
  13. 36
  14. 5
  15. 16
  16. 7
  17. 7
  18. 18
  19. 12
  20. 7
  21. 15
  22. 2
  23. 7
  24. 4
  25. 2
  26. 25
  27. 13
  28. 28
  29. 50
  30. 33
  31. 10
  32. 25
  33. 72
  34. 23
  35. 96
  36. 14
  37. 15
  38. 14
  39. 33
  40. 18

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