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Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 267 · 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 − 3) = p + 19. What is p?
  2. 2.Solve: x/5 + x/6 = 44. What is x?
  3. 3.The length of a rectangle is 2 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  4. 4.Solve: y/2 + y/3 = 25. What is y?
  5. 5.Solve: t/3 + t/6 = 9. What is t?
  6. 6.Solve: 6(t − 1) = 5t + 6. What is t?
  7. 7.A father is 27 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?
  8. 8.A father is 26 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?
  9. 9.The sum of four consecutive whole numbers is 246. What is the largest of them?
  10. 10.The length of a rectangle is 13 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  11. 11.The sum of two consecutive whole numbers is 119. What is the smallest of them?
  12. 12.A father is 20 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  13. 13.Solve: 6m + 3 = 2m + 31. What is m?
  14. 14.Solve: 9x + 3 = 4x + 28. What is x?
  15. 15.Solve: 3(m − 2) = m + 2. What is m?
  16. 16.Solve: x/2 + x/4 = 12. What is x?
  17. 17.The length of a rectangle is 7 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  18. 18.Solve: 4(p − 2) = p + 34. What is p?
  19. 19.A father is 27 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  20. 20.A father is 16 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?
  21. 21.The sum of two consecutive whole numbers is 49. What is the largest of them?
  22. 22.The sum of three consecutive whole numbers is 96. What is the largest of them?
  23. 23.The sum of four consecutive whole numbers is 226. What is the largest of them?
  24. 24.Solve: 4(p − 3) = p + 15. What is p?
  25. 25.Solve: x/3 + x/5 = 16. What is x?
  26. 26.The sum of two consecutive whole numbers is 107. What is the largest of them?
  27. 27.The sum of two consecutive whole numbers is 89. What is the smallest of them?
  28. 28.Solve: 5(p − 5) = 3p + 11. What is p?
  29. 29.Solve: 6p + 10 = 3p + 46. What is p?
  30. 30.Solve: y/6 + y/2 = 4. What is y?
  31. 31.Solve: 4(x − 1) = x + 26. What is x?
  32. 32.Solve: 4(n − 4) = 2n + 14. What is n?
  33. 33.Solve: x/5 + x/4 = 36. What is x?
  34. 34.Solve: 6x + 1 = x + 61. What is x?
  35. 35.Solve: 4(y − 3) = 3y + 3. What is y?
  36. 36.Solve: m/2 + m/3 = 20. What is m?
  37. 37.A father is 33 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  38. 38.The sum of two consecutive whole numbers is 15. What is the smallest of them?
  39. 39.A father is 6 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?
  40. 40.Solve: 3(y − 5) = y + 15. What is y?

Answer key

  1. 14
  2. 120
  3. 15
  4. 30
  5. 18
  6. 12
  7. 3
  8. 12
  9. 63
  10. 17
  11. 59
  12. 2
  13. 7
  14. 5
  15. 4
  16. 16
  17. 12
  18. 14
  19. 4
  20. 3
  21. 25
  22. 33
  23. 58
  24. 9
  25. 30
  26. 54
  27. 44
  28. 18
  29. 12
  30. 6
  31. 10
  32. 15
  33. 80
  34. 12
  35. 15
  36. 24
  37. 3
  38. 7
  39. 2
  40. 15

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