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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 927 · 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: 3(p − 2) = 2p + 13. What is p?
  2. 2.Solve: m/6 + m/4 = 35. What is m?
  3. 3.Solve: 9n + 12 = 7n + 16. What is n?
  4. 4.A father is 7 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  5. 5.Solve: 5t + 13 = 3t + 29. What is t?
  6. 6.Solve: 6(y − 4) = y + 1. What is y?
  7. 7.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?
  8. 8.A father is 28 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  9. 9.Solve: 4t + 4 = t + 16. What is t?
  10. 10.Solve: 4(p − 2) = 2p + 14. What is p?
  11. 11.Solve: t/4 + t/5 = 9. What is t?
  12. 12.Solve: 9t + 18 = 4t + 23. What is t?
  13. 13.The length of a rectangle is 15 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  14. 14.Solve: 3(y − 5) = y + 15. What is y?
  15. 15.Solve: n/5 + n/4 = 72. What is n?
  16. 16.Solve: 6t + 11 = 2t + 19. What is t?
  17. 17.Solve: 4n + 2 = n + 20. What is n?
  18. 18.Solve: 5(t − 1) = 3t + 3. What is t?
  19. 19.The sum of two consecutive whole numbers is 109. What is the smallest of them?
  20. 20.Solve: m/4 + m/2 = 18. What is m?
  21. 21.Solve: y/2 + y/3 = 25. What is y?
  22. 22.The length of a rectangle is 8 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  23. 23.Solve: 3(n − 1) = 2n + 10. What is n?
  24. 24.Solve: 5x + 12 = x + 24. What is x?
  25. 25.The sum of three consecutive whole numbers is 33. What is the smallest of them?
  26. 26.Solve: 7m + 13 = 3m + 29. What is m?
  27. 27.Solve: x/6 + x/4 = 5. What is x?
  28. 28.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?
  29. 29.The sum of four consecutive whole numbers is 66. What is the smallest of them?
  30. 30.A father is 12 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  31. 31.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  32. 32.A father is 14 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.Solve: 6x + 6 = 3x + 42. What is x?
  34. 34.Solve: 6n + 4 = n + 9. What is n?
  35. 35.A father is 33 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  36. 36.Solve: 6(m − 1) = 5m + 2. What is m?
  37. 37.Solve: 4(p − 5) = 3p + 11. What is p?
  38. 38.Solve: 8x + 14 = 7x + 23. What is x?
  39. 39.A father is 6 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  40. 40.A father is 14 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 19
  2. 84
  3. 2
  4. 2
  5. 8
  6. 5
  7. 7
  8. 10
  9. 4
  10. 11
  11. 20
  12. 1
  13. 12
  14. 15
  15. 160
  16. 2
  17. 6
  18. 4
  19. 54
  20. 24
  21. 30
  22. 23
  23. 13
  24. 3
  25. 10
  26. 4
  27. 12
  28. 8
  29. 15
  30. 5
  31. 11
  32. 8
  33. 12
  34. 1
  35. 9
  36. 8
  37. 31
  38. 9
  39. 3
  40. 11

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