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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 551 · 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.A father is 14 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  2. 2.Solve: 9x + 3 = 2x + 38. What is x?
  3. 3.The length of a rectangle is 1 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  4. 4.Solve: t/5 + t/3 = 32. What is t?
  5. 5.Solve: 6(t − 1) = 2t + 42. What is t?
  6. 6.Solve: p/4 + p/2 = 3. What is p?
  7. 7.Solve: m/2 + m/6 = 32. What is m?
  8. 8.Solve: p/3 + p/6 = 24. What is p?
  9. 9.Solve: 4(p − 1) = 2p + 10. What is p?
  10. 10.The sum of two consecutive whole numbers is 79. What is the smallest of them?
  11. 11.Solve: m/6 + m/5 = 88. What is m?
  12. 12.The sum of three consecutive whole numbers is 132. What is the largest of them?
  13. 13.Solve: 3(x − 1) = x + 7. What is x?
  14. 14.Solve: 3(p − 3) = p + 19. What is p?
  15. 15.Solve: 4(p − 4) = 2p + 8. What is p?
  16. 16.Solve: m/3 + m/5 = 48. What is m?
  17. 17.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?
  18. 18.A father is 20 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?
  19. 19.Solve: 5t + 8 = 4t + 9. What is t?
  20. 20.The sum of three consecutive whole numbers is 75. What is the largest of them?
  21. 21.The length of a rectangle is 9 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  22. 22.The length of a rectangle is 10 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  23. 23.Solve: 3(m − 5) = m + 19. What is m?
  24. 24.A father is 19 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  25. 25.The length of a rectangle is 3 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  26. 26.Solve: 4x + 4 = 2x + 30. What is x?
  27. 27.The sum of three consecutive whole numbers is 105. What is the smallest of them?
  28. 28.The sum of four consecutive whole numbers is 38. What is the smallest of them?
  29. 29.Solve: 5(p − 1) = 2p + 19. What is p?
  30. 30.Solve: 3m + 19 = m + 39. What is m?
  31. 31.Solve: 3n + 2 = n + 4. What is n?
  32. 32.A father is 18 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  33. 33.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  34. 34.The length of a rectangle is 2 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  35. 35.The length of a rectangle is 14 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  36. 36.Solve: 3(x − 5) = 2x + 13. What is x?
  37. 37.A father is 11 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  38. 38.Solve: p/4 + p/6 = 30. What is p?
  39. 39.Solve: 7t + 7 = 3t + 11. What is t?
  40. 40.Solve: 3y + 1 = y + 27. What is y?

Answer key

  1. 7
  2. 5
  3. 14
  4. 60
  5. 12
  6. 4
  7. 48
  8. 48
  9. 7
  10. 39
  11. 240
  12. 45
  13. 5
  14. 14
  15. 12
  16. 90
  17. 10
  18. 8
  19. 1
  20. 26
  21. 12
  22. 4
  23. 17
  24. 12
  25. 9
  26. 13
  27. 34
  28. 8
  29. 8
  30. 10
  31. 1
  32. 12
  33. 2
  34. 9
  35. 7
  36. 28
  37. 6
  38. 72
  39. 1
  40. 13

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