← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 384 · 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: 7y + 1 = 4y + 46. What is y?
  2. 2.The length of a rectangle is 9 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  3. 3.A father is 9 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  4. 4.A father is 15 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  5. 5.A father is 30 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?
  6. 6.A father is 33 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?
  7. 7.Solve: m/3 + m/2 = 5. What is m?
  8. 8.Solve: m/5 + m/6 = 77. What is m?
  9. 9.The length of a rectangle is 10 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  10. 10.A father is 12 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  11. 11.Solve: 4m + 5 = 2m + 17. What is m?
  12. 12.The sum of two consecutive whole numbers is 117. What is the smallest of them?
  13. 13.Solve: 9n + 1 = 7n + 27. What is n?
  14. 14.Solve: 3(t − 2) = t + 12. What is t?
  15. 15.The length of a rectangle is 13 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
  16. 16.The sum of three consecutive whole numbers is 183. What is the smallest of them?
  17. 17.A father is 28 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?
  18. 18.The length of a rectangle is 3 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  19. 19.Solve: n/4 + n/6 = 30. What is n?
  20. 20.The sum of four consecutive whole numbers is 110. What is the smallest of them?
  21. 21.Solve: 6(n − 1) = 3n + 33. What is n?
  22. 22.The sum of two consecutive whole numbers is 17. What is the smallest of them?
  23. 23.Solve: 4p + 10 = 2p + 18. What is p?
  24. 24.The sum of two consecutive whole numbers is 101. What is the smallest of them?
  25. 25.A father is 34 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?
  26. 26.Solve: 3m + 17 = m + 25. What is m?
  27. 27.Solve: 3x + 14 = 2x + 23. What is x?
  28. 28.Solve: 6(m − 1) = 3m + 27. What is m?
  29. 29.A father is 18 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?
  30. 30.The length of a rectangle is 11 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  31. 31.A father is 7 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  32. 32.The sum of two consecutive whole numbers is 109. What is the smallest of them?
  33. 33.A father is 39 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  34. 34.Solve: 6(n − 2) = n + 13. What is n?
  35. 35.The sum of three consecutive whole numbers is 99. What is the smallest of them?
  36. 36.The sum of three consecutive whole numbers is 30. What is the largest of them?
  37. 37.The length of a rectangle is 14 cm more than its width. Its perimeter is 136 cm. What is its width (in cm)?
  38. 38.Solve: m/5 + m/4 = 45. What is m?
  39. 39.The length of a rectangle is 5 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  40. 40.Solve: 3y + 11 = 2y + 14. What is y?

Answer key

  1. 15
  2. 3
  3. 5
  4. 8
  5. 10
  6. 8
  7. 6
  8. 210
  9. 24
  10. 5
  11. 6
  12. 58
  13. 13
  14. 9
  15. 28
  16. 60
  17. 7
  18. 19
  19. 72
  20. 26
  21. 13
  22. 8
  23. 4
  24. 50
  25. 12
  26. 4
  27. 9
  28. 11
  29. 5
  30. 14
  31. 4
  32. 54
  33. 8
  34. 5
  35. 32
  36. 11
  37. 27
  38. 100
  39. 13
  40. 3

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets