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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 284 · 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: m/6 + m/5 = 77. What is m?
  2. 2.Solve: 5(x − 2) = x + 6. What is x?
  3. 3.Solve: 4y + 1 = y + 37. What is y?
  4. 4.Solve: 3(m − 3) = m + 15. What is m?
  5. 5.Solve: m/5 + m/3 = 64. What is m?
  6. 6.Solve: 5(x − 2) = 3x + 8. What is x?
  7. 7.A father is 9 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  8. 8.Solve: 6(y − 1) = 3y + 15. What is y?
  9. 9.A father is 8 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  10. 10.Solve: 5n + 13 = 4n + 15. What is n?
  11. 11.The sum of four consecutive whole numbers is 122. What is the smallest of them?
  12. 12.Solve: t/6 + t/4 = 30. What is t?
  13. 13.Solve: t/4 + t/6 = 35. What is t?
  14. 14.The sum of two consecutive whole numbers is 53. What is the smallest of them?
  15. 15.The length of a rectangle is 1 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  16. 16.Solve: 3m + 15 = m + 29. What is m?
  17. 17.Solve: 3t + 16 = t + 18. What is t?
  18. 18.The sum of two consecutive whole numbers is 39. What is the smallest of them?
  19. 19.Solve: m/5 + m/4 = 36. What is m?
  20. 20.The sum of four consecutive whole numbers is 210. What is the largest of them?
  21. 21.The sum of two consecutive whole numbers is 35. What is the largest of them?
  22. 22.The sum of two consecutive whole numbers is 71. What is the smallest of them?
  23. 23.The sum of three consecutive whole numbers is 39. What is the largest of them?
  24. 24.Solve: 5(n − 2) = 3n + 24. What is n?
  25. 25.Solve: 4(x − 4) = 3x + 13. What is x?
  26. 26.Solve: 3(p − 3) = p + 15. What is p?
  27. 27.Solve: 7n + 18 = n + 42. What is n?
  28. 28.Solve: n/3 + n/6 = 21. What is n?
  29. 29.Solve: x/3 + x/6 = 3. What is x?
  30. 30.Solve: 5(m − 1) = 4m + 3. What is m?
  31. 31.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  32. 32.The sum of three consecutive whole numbers is 162. What is the smallest of them?
  33. 33.The sum of four consecutive whole numbers is 174. What is the smallest of them?
  34. 34.Solve: 9m + 6 = 7m + 16. What is m?
  35. 35.The length of a rectangle is 12 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  36. 36.Solve: 3(m − 4) = 2m + 11. What is m?
  37. 37.Solve: 4(p − 1) = 2p + 6. What is p?
  38. 38.Solve: m/2 + m/3 = 40. What is m?
  39. 39.The length of a rectangle is 11 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  40. 40.Solve: 5(y − 5) = 2y + 20. What is y?

Answer key

  1. 210
  2. 4
  3. 12
  4. 12
  5. 120
  6. 9
  7. 6
  8. 7
  9. 2
  10. 2
  11. 29
  12. 72
  13. 84
  14. 26
  15. 28
  16. 7
  17. 1
  18. 19
  19. 80
  20. 54
  21. 18
  22. 35
  23. 14
  24. 17
  25. 29
  26. 12
  27. 4
  28. 42
  29. 6
  30. 8
  31. 11
  32. 53
  33. 42
  34. 5
  35. 18
  36. 23
  37. 5
  38. 48
  39. 21
  40. 15

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