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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 453 · 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 two consecutive whole numbers is 95. What is the largest of them?
  2. 2.The sum of three consecutive whole numbers is 114. What is the smallest of them?
  3. 3.A father is 22 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?
  4. 4.Solve: 4(y − 4) = 3y + 8. What is y?
  5. 5.The length of a rectangle is 15 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  6. 6.A father is 12 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?
  7. 7.Solve: x/3 + x/5 = 40. What is x?
  8. 8.Solve: 4(n − 3) = 3n + 7. What is n?
  9. 9.Solve: p/3 + p/2 = 40. What is p?
  10. 10.Solve: 6(t − 5) = 4t + 26. What is t?
  11. 11.Solve: m/6 + m/5 = 33. What is m?
  12. 12.The length of a rectangle is 14 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  13. 13.Solve: x/5 + x/3 = 8. What is x?
  14. 14.Solve: 3(y − 1) = y + 21. What is y?
  15. 15.Solve: 5(p − 5) = 3p + 25. What is p?
  16. 16.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?
  17. 17.The sum of four consecutive whole numbers is 26. What is the smallest of them?
  18. 18.The length of a rectangle is 8 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  19. 19.Solve: y/2 + y/4 = 6. What is y?
  20. 20.The length of a rectangle is 4 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  21. 21.Solve: 9m + 7 = 2m + 21. What is m?
  22. 22.The sum of four consecutive whole numbers is 90. What is the smallest of them?
  23. 23.Solve: 5t + 7 = 2t + 10. What is t?
  24. 24.The sum of four consecutive whole numbers is 182. What is the largest of them?
  25. 25.Solve: t/5 + t/3 = 24. What is t?
  26. 26.The sum of three consecutive whole numbers is 36. What is the smallest of them?
  27. 27.The length of a rectangle is 11 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  28. 28.Solve: y/5 + y/2 = 7. What is y?
  29. 29.Solve: x/6 + x/5 = 22. What is x?
  30. 30.Solve: 6p + 9 = 4p + 13. What is p?
  31. 31.Solve: 5x + 17 = 3x + 29. What is x?
  32. 32.The length of a rectangle is 4 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  33. 33.A father is 16 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?
  34. 34.The sum of two consecutive whole numbers is 79. What is the largest of them?
  35. 35.The length of a rectangle is 8 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  36. 36.Solve: 6(n − 2) = 4n + 2. What is n?
  37. 37.Solve: 7p + 20 = 4p + 47. What is p?
  38. 38.Solve: 5(x − 5) = 2x + 14. What is x?
  39. 39.Solve: p/6 + p/5 = 22. What is p?
  40. 40.The sum of two consecutive whole numbers is 119. What is the largest of them?

Answer key

  1. 48
  2. 37
  3. 8
  4. 24
  5. 18
  6. 3
  7. 75
  8. 19
  9. 48
  10. 28
  11. 90
  12. 2
  13. 15
  14. 12
  15. 25
  16. 8
  17. 5
  18. 8
  19. 8
  20. 9
  21. 2
  22. 21
  23. 1
  24. 47
  25. 45
  26. 11
  27. 19
  28. 10
  29. 60
  30. 2
  31. 6
  32. 29
  33. 5
  34. 40
  35. 13
  36. 7
  37. 9
  38. 13
  39. 60
  40. 60

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