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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 623 · 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 150. What is the smallest of them?
  2. 2.Solve: 9y + 7 = y + 23. What is y?
  3. 3.The sum of three consecutive whole numbers is 21. What is the smallest of them?
  4. 4.Solve: 8t + 5 = t + 26. What is t?
  5. 5.Solve: 3(m − 5) = m + 1. What is m?
  6. 6.The length of a rectangle is 1 cm more than its width. Its perimeter is 10 cm. What is its width (in cm)?
  7. 7.Solve: 5n + 9 = 4n + 11. What is n?
  8. 8.The sum of two consecutive whole numbers is 85. What is the smallest of them?
  9. 9.Solve: 3(x − 2) = x + 12. What is x?
  10. 10.Solve: 6p + 17 = 3p + 20. What is p?
  11. 11.The sum of three consecutive whole numbers is 33. What is the largest of them?
  12. 12.Solve: x/6 + x/4 = 40. What is x?
  13. 13.Solve: x/3 + x/6 = 21. What is x?
  14. 14.Solve: 4(x − 3) = 2x + 12. What is x?
  15. 15.The length of a rectangle is 2 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  16. 16.Solve: y/3 + y/2 = 10. What is y?
  17. 17.The length of a rectangle is 11 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  18. 18.A father is 20 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?
  19. 19.Solve: 6(y − 5) = y + 45. What is y?
  20. 20.The sum of four consecutive whole numbers is 110. What is the smallest of them?
  21. 21.The sum of three consecutive whole numbers is 177. What is the smallest of them?
  22. 22.The length of a rectangle is 6 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  23. 23.The length of a rectangle is 7 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  24. 24.Solve: 3(p − 5) = p + 17. What is p?
  25. 25.A father is 14 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?
  26. 26.Solve: 5(t − 5) = 3t + 23. What is t?
  27. 27.Solve: n/4 + n/5 = 18. What is n?
  28. 28.A father is 39 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?
  29. 29.The length of a rectangle is 12 cm more than its width. Its perimeter is 144 cm. What is its width (in cm)?
  30. 30.Solve: 7t + 6 = 4t + 27. What is t?
  31. 31.The sum of four consecutive whole numbers is 154. What is the smallest of them?
  32. 32.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?
  33. 33.Solve: 6(m − 5) = 2m + 6. What is m?
  34. 34.Solve: 5(p − 4) = 3p + 16. What is p?
  35. 35.Solve: 3(p − 4) = p + 16. What is p?
  36. 36.Solve: 9p + 16 = 6p + 34. What is p?
  37. 37.The length of a rectangle is 3 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  38. 38.Solve: 3m + 14 = m + 38. What is m?
  39. 39.The length of a rectangle is 3 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  40. 40.Solve: t/4 + t/6 = 10. What is t?

Answer key

  1. 49
  2. 2
  3. 6
  4. 3
  5. 8
  6. 2
  7. 2
  8. 42
  9. 9
  10. 1
  11. 12
  12. 96
  13. 42
  14. 12
  15. 8
  16. 12
  17. 15
  18. 5
  19. 15
  20. 26
  21. 58
  22. 6
  23. 14
  24. 16
  25. 4
  26. 24
  27. 40
  28. 10
  29. 30
  30. 7
  31. 37
  32. 12
  33. 9
  34. 18
  35. 14
  36. 6
  37. 21
  38. 12
  39. 22
  40. 24

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