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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 835 · 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 57. What is the smallest of them?
  2. 2.Solve: p/2 + p/5 = 7. What is p?
  3. 3.Solve: 3p + 7 = 2p + 14. What is p?
  4. 4.Solve: 3p + 5 = 2p + 15. What is p?
  5. 5.Solve: m/3 + m/5 = 16. What is m?
  6. 6.A father is 33 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  7. 7.Solve: 6(p − 2) = 5p + 7. What is p?
  8. 8.Solve: 5y + 20 = 4y + 33. What is y?
  9. 9.Solve: 5(y − 4) = y + 52. What is y?
  10. 10.The sum of two consecutive whole numbers is 87. What is the largest of them?
  11. 11.Solve: y/6 + y/2 = 4. What is y?
  12. 12.The sum of four consecutive whole numbers is 198. What is the largest of them?
  13. 13.A father is 34 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  14. 14.The sum of two consecutive whole numbers is 49. What is the largest of them?
  15. 15.Solve: 5(p − 1) = 3p + 3. What is p?
  16. 16.Solve: 6p + 3 = p + 23. What is p?
  17. 17.Solve: 8n + 3 = 6n + 33. What is n?
  18. 18.The sum of two consecutive whole numbers is 85. What is the largest of them?
  19. 19.Solve: 4(y − 2) = 2y + 4. What is y?
  20. 20.A father is 15 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  21. 21.A father is 32 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  22. 22.The sum of two consecutive whole numbers is 39. What is the smallest of them?
  23. 23.A father is 15 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  24. 24.A father is 30 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?
  25. 25.Solve: 3(y − 3) = 2y + 6. What is y?
  26. 26.A father is 26 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  27. 27.The sum of four consecutive whole numbers is 110. What is the largest of them?
  28. 28.The sum of four consecutive whole numbers is 230. What is the smallest of them?
  29. 29.The length of a rectangle is 2 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  30. 30.The sum of two consecutive whole numbers is 21. What is the largest of them?
  31. 31.Solve: 4t + 20 = 2t + 30. What is t?
  32. 32.Solve: 9x + 9 = 5x + 49. What is x?
  33. 33.The sum of two consecutive whole numbers is 95. What is the smallest of them?
  34. 34.Solve: 3(n − 2) = n + 12. What is n?
  35. 35.Solve: 4(x − 5) = 3x + 8. What is x?
  36. 36.Solve: 6(t − 3) = 5t + 13. What is t?
  37. 37.Solve: 3(t − 2) = t + 14. What is t?
  38. 38.Solve: t/6 + t/5 = 88. What is t?
  39. 39.Solve: 4(m − 2) = m + 28. What is m?
  40. 40.Solve: 3y + 7 = y + 27. What is y?

Answer key

  1. 18
  2. 10
  3. 7
  4. 10
  5. 30
  6. 5
  7. 19
  8. 13
  9. 18
  10. 44
  11. 6
  12. 51
  13. 10
  14. 25
  15. 4
  16. 4
  17. 15
  18. 43
  19. 6
  20. 7
  21. 10
  22. 19
  23. 9
  24. 9
  25. 15
  26. 6
  27. 29
  28. 56
  29. 17
  30. 11
  31. 5
  32. 10
  33. 47
  34. 9
  35. 28
  36. 31
  37. 10
  38. 240
  39. 12
  40. 10

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