← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 532 · 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: 7t + 8 = 4t + 23. What is t?
  2. 2.The sum of three consecutive whole numbers is 24. What is the largest of them?
  3. 3.Solve: 4x + 1 = x + 4. What is x?
  4. 4.Solve: y/5 + y/6 = 33. What is y?
  5. 5.Solve: 3(p − 1) = p + 19. What is p?
  6. 6.The length of a rectangle is 4 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
  7. 7.The sum of four consecutive whole numbers is 146. What is the largest of them?
  8. 8.The sum of two consecutive whole numbers is 103. What is the smallest of them?
  9. 9.The sum of four consecutive whole numbers is 130. What is the smallest of them?
  10. 10.Solve: 5(m − 1) = m + 43. What is m?
  11. 11.The sum of four consecutive whole numbers is 42. What is the largest of them?
  12. 12.The length of a rectangle is 3 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  13. 13.Solve: 4(y − 5) = y + 31. What is y?
  14. 14.Solve: 6(m − 3) = m + 17. What is m?
  15. 15.Solve: 3t + 1 = t + 5. What is t?
  16. 16.Solve: 9m + 13 = m + 29. What is m?
  17. 17.The length of a rectangle is 5 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  18. 18.The sum of two consecutive whole numbers is 89. What is the largest of them?
  19. 19.Solve: 8m + 11 = 2m + 71. What is m?
  20. 20.The sum of three consecutive whole numbers is 42. What is the smallest of them?
  21. 21.The length of a rectangle is 1 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  22. 22.Solve: 6(p − 1) = 5p + 1. What is p?
  23. 23.The length of a rectangle is 10 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  24. 24.Solve: 7t + 17 = t + 71. What is t?
  25. 25.The sum of two consecutive whole numbers is 101. What is the largest of them?
  26. 26.Solve: 3x + 1 = x + 13. What is x?
  27. 27.Solve: 5t + 16 = 2t + 61. What is t?
  28. 28.Solve: 4(x − 4) = 2x + 14. What is x?
  29. 29.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  30. 30.The length of a rectangle is 15 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  31. 31.Solve: m/3 + m/6 = 24. What is m?
  32. 32.The sum of two consecutive whole numbers is 29. What is the largest of them?
  33. 33.Solve: 8m + 14 = 7m + 17. What is m?
  34. 34.The sum of four consecutive whole numbers is 194. What is the smallest of them?
  35. 35.The sum of three consecutive whole numbers is 129. What is the smallest of them?
  36. 36.Solve: 6(n − 2) = 2n + 48. What is n?
  37. 37.A father is 16 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?
  38. 38.A father is 36 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?
  39. 39.The length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
  40. 40.Solve: p/2 + p/4 = 12. What is p?

Answer key

  1. 5
  2. 9
  3. 1
  4. 90
  5. 11
  6. 2
  7. 38
  8. 51
  9. 31
  10. 12
  11. 12
  12. 16
  13. 17
  14. 7
  15. 2
  16. 2
  17. 9
  18. 45
  19. 10
  20. 13
  21. 10
  22. 7
  23. 27
  24. 9
  25. 51
  26. 6
  27. 15
  28. 15
  29. 11
  30. 26
  31. 48
  32. 15
  33. 3
  34. 47
  35. 42
  36. 15
  37. 6
  38. 10
  39. 2
  40. 16

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