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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 972 · 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: n/5 + n/2 = 7. What is n?
  2. 2.The sum of three consecutive whole numbers is 81. What is the smallest of them?
  3. 3.A father is 36 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  4. 4.Solve: n/3 + n/2 = 20. What is n?
  5. 5.Solve: t/5 + t/4 = 18. What is t?
  6. 6.Solve: 5(t − 4) = 2t + 1. What is t?
  7. 7.Solve: 6x + 6 = 4x + 34. What is x?
  8. 8.The sum of three consecutive whole numbers is 39. What is the smallest of them?
  9. 9.The length of a rectangle is 10 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  10. 10.Solve: 3t + 19 = 2t + 29. What is t?
  11. 11.A father is 20 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?
  12. 12.Solve: y/3 + y/6 = 24. What is y?
  13. 13.The sum of four consecutive whole numbers is 90. What is the largest of them?
  14. 14.Solve: 5y + 16 = 3y + 44. What is y?
  15. 15.Solve: 4(p − 5) = p + 10. What is p?
  16. 16.Solve: 7n + 9 = 6n + 13. What is n?
  17. 17.The sum of three consecutive whole numbers is 84. What is the smallest of them?
  18. 18.Solve: n/6 + n/5 = 55. What is n?
  19. 19.Solve: 3(x − 2) = x + 2. What is x?
  20. 20.Solve: 5(m − 2) = 3m + 2. What is m?
  21. 21.The sum of three consecutive whole numbers is 93. What is the smallest of them?
  22. 22.Solve: t/4 + t/5 = 72. What is t?
  23. 23.A father is 16 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  24. 24.The sum of four consecutive whole numbers is 146. What is the largest of them?
  25. 25.Solve: 6(t − 2) = 5t + 4. What is t?
  26. 26.The length of a rectangle is 14 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  27. 27.Solve: 9x + 3 = 7x + 33. What is x?
  28. 28.The sum of two consecutive whole numbers is 13. What is the largest of them?
  29. 29.Solve: 5(t − 4) = t + 12. What is t?
  30. 30.A father is 13 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  31. 31.Solve: m/3 + m/6 = 18. What is m?
  32. 32.Solve: 5(n − 1) = 2n + 25. What is n?
  33. 33.Solve: p/4 + p/3 = 14. What is p?
  34. 34.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?
  35. 35.The length of a rectangle is 12 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  36. 36.Solve: 8p + 9 = 2p + 99. What is p?
  37. 37.A father is 10 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  38. 38.Solve: 3(t − 3) = t + 1. What is t?
  39. 39.Solve: 3n + 4 = n + 16. What is n?
  40. 40.The length of a rectangle is 13 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?

Answer key

  1. 10
  2. 26
  3. 5
  4. 24
  5. 40
  6. 7
  7. 14
  8. 12
  9. 26
  10. 10
  11. 3
  12. 48
  13. 24
  14. 14
  15. 10
  16. 4
  17. 27
  18. 150
  19. 4
  20. 6
  21. 30
  22. 160
  23. 8
  24. 38
  25. 16
  26. 15
  27. 15
  28. 7
  29. 8
  30. 12
  31. 36
  32. 10
  33. 24
  34. 12
  35. 25
  36. 15
  37. 4
  38. 5
  39. 6
  40. 13

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