← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 420 · 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 three consecutive whole numbers is 117. What is the smallest of them?
  2. 2.Solve: y/3 + y/2 = 20. What is y?
  3. 3.Solve: 4(n − 3) = 2n + 10. What is n?
  4. 4.Solve: m/5 + m/4 = 18. What is m?
  5. 5.Solve: 6p + 15 = 5p + 21. What is p?
  6. 6.Solve: 4(p − 4) = p + 32. What is p?
  7. 7.Solve: 3(n − 2) = n + 14. What is n?
  8. 8.A father is 11 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  9. 9.The length of a rectangle is 10 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  10. 10.Solve: 6m + 16 = m + 26. What is m?
  11. 11.The sum of four consecutive whole numbers is 146. What is the smallest of them?
  12. 12.The length of a rectangle is 4 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  13. 13.Solve: p/5 + p/4 = 9. What is p?
  14. 14.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  15. 15.The sum of four consecutive whole numbers is 102. What is the smallest of them?
  16. 16.Solve: y/5 + y/4 = 54. What is y?
  17. 17.The sum of four consecutive whole numbers is 122. What is the largest of them?
  18. 18.The length of a rectangle is 10 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  19. 19.Solve: y/5 + y/4 = 63. What is y?
  20. 20.The length of a rectangle is 7 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  21. 21.Solve: x/2 + x/3 = 30. What is x?
  22. 22.Solve: 6(y − 4) = 3y + 39. What is y?
  23. 23.A father is 18 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?
  24. 24.The length of a rectangle is 14 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  25. 25.The sum of two consecutive whole numbers is 101. What is the smallest of them?
  26. 26.Solve: x/2 + x/3 = 20. What is x?
  27. 27.Solve: x/2 + x/4 = 21. What is x?
  28. 28.Solve: 6(x − 4) = x + 31. What is x?
  29. 29.Solve: 5(p − 1) = 4p + 9. What is p?
  30. 30.Solve: 8m + 13 = 2m + 91. What is m?
  31. 31.Solve: t/2 + t/6 = 20. What is t?
  32. 32.Solve: t/6 + t/5 = 11. What is t?
  33. 33.A father is 39 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?
  34. 34.Solve: 3(y − 3) = y + 7. What is y?
  35. 35.Solve: 7p + 6 = p + 18. What is p?
  36. 36.Solve: 5(p − 5) = 2p + 35. What is p?
  37. 37.Solve: m/2 + m/5 = 35. What is m?
  38. 38.The length of a rectangle is 12 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  39. 39.The sum of four consecutive whole numbers is 154. What is the smallest of them?
  40. 40.Solve: 7t + 17 = 3t + 29. What is t?

Answer key

  1. 38
  2. 24
  3. 11
  4. 40
  5. 6
  6. 16
  7. 10
  8. 8
  9. 17
  10. 2
  11. 35
  12. 20
  13. 20
  14. 2
  15. 24
  16. 120
  17. 32
  18. 7
  19. 140
  20. 25
  21. 36
  22. 21
  23. 7
  24. 25
  25. 50
  26. 24
  27. 28
  28. 11
  29. 14
  30. 13
  31. 30
  32. 30
  33. 12
  34. 8
  35. 2
  36. 20
  37. 50
  38. 6
  39. 37
  40. 3

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