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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 83 · 40 questions
TalentJR

How to solve it (Balance): Bring the x terms to one side and the plain numbers to the other (change the sign when you move a term across). Divide both sides by the number in front of x (or multiply if x is divided). Check by putting your answer back into the equation.

NameDateTime takenScore ___ / 40
  1. 1.If x/3 + 12 = 24, what is x? (a) 60 (b) 36 (c) 12 (d) 108
  2. 2.If 7x + 11 = 6x + 18, what is x? (a) 29 (b) 9 (c) 7 (d) 8
  3. 3.If 7x + 14 = 2x + 44, what is x? (a) 5 (b) 6 (c) 8 (d) 7
  4. 4.If 5x − 43 = 7, what is x? (a) 11 (b) 50 (c) 10 (d) 9
  5. 5.If 8x + 9 = x + 23, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  6. 6.If x/3 + 9 = 13, what is x? (a) 30 (b) 66 (c) 4 (d) 12
  7. 7.If x/6 + 6 = 12, what is x? (a) 108 (b) 6 (c) 66 (d) 36
  8. 8.If x/6 + 7 = 17, what is x? (a) 60 (b) 10 (c) 144 (d) 95
  9. 9.If x/3 + 11 = 14, what is x? (a) 3 (b) 31 (c) 9 (d) 75
  10. 10.If 6x − 81 = 9, what is x? (a) 15 (b) 90 (c) 14 (d) 16
  11. 11.If 5x + 11 = 86, what is x? (a) 16 (b) 14 (c) 75 (d) 15
  12. 12.If 8x + 16 = 4x + 24, what is x? (a) 4 (b) 3 (c) 10 (d) 2
  13. 13.If 7x + 30 = 107, what is x? (a) 77 (b) 12 (c) 10 (d) 11
  14. 14.If 6x + 20 = 50, what is x? (a) 5 (b) 6 (c) 30 (d) 4
  15. 15.If x/5 + 7 = 19, what is x? (a) 60 (b) 130 (c) 88 (d) 12
  16. 16.If 8x + 16 = 2x + 52, what is x? (a) 7 (b) 5 (c) 6 (d) 8
  17. 17.If 5x − 1 = 49, what is x? (a) 50 (b) 9 (c) 10 (d) 11
  18. 18.If x/4 + 7 = 19, what is x? (a) 12 (b) 104 (c) 48 (d) 69
  19. 19.If 2x + 3 = 29, what is x? (a) 13 (b) 14 (c) 16 (d) 26
  20. 20.If 2x + 3 = 33, what is x? (a) 16 (b) 18 (c) 15 (d) 30
  21. 21.If 2x − 4 = 2, what is x? (a) 4 (b) 6 (c) 3 (d) 2
  22. 22.If 6x + 4 = 2x + 52, what is x? (a) 13 (b) 6 (c) 12 (d) 14
  23. 23.If 8x + 9 = 25, what is x? (a) 3 (b) 2 (c) 16 (d) 1
  24. 24.If 3x + 4 = x + 22, what is x? (a) 13 (b) 11 (c) 9 (d) 10
  25. 25.If 7x + 16 = 58, what is x? (a) 7 (b) 42 (c) 5 (d) 6
  26. 26.If 9x − 27 = 27, what is x? (a) 7 (b) 6 (c) 5 (d) 54
  27. 27.If 5x + 15 = x + 31, what is x? (a) 6 (b) 5 (c) 4 (d) 3
  28. 28.If 3x + 28 = 34, what is x? (a) 6 (b) 2 (c) 1 (d) 3
  29. 29.If x/4 + 5 = 8, what is x? (a) 3 (b) 27 (c) 52 (d) 12
  30. 30.If 3x − 24 = 21, what is x? (a) 16 (b) 15 (c) 45 (d) 14
  31. 31.If 5x − 14 = 21, what is x? (a) 8 (b) 7 (c) 35 (d) 6
  32. 32.If 3x + 15 = x + 35, what is x? (a) 11 (b) 25 (c) 5 (d) 10
  33. 33.If 4x + 2 = 2x + 4, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  34. 34.If 4x + 17 = x + 35, what is x? (a) 8 (b) 6 (c) 5 (d) 7
  35. 35.If 6x + 10 = 5x + 11, what is x? (a) 1 (b) 21 (c) 3 (d) 2
  36. 36.If 3x − 32 = 10, what is x? (a) 13 (b) 42 (c) 14 (d) 15
  37. 37.If 6x + 12 = 3x + 36, what is x? (a) 10 (b) 9 (c) 16 (d) 8
  38. 38.If 3x − 5 = 1, what is x? (a) 3 (b) 2 (c) 1 (d) 6
  39. 39.If x/6 + 13 = 16, what is x? (a) 174 (b) 3 (c) 18 (d) 83
  40. 40.If x/4 + 6 = 11, what is x? (a) 5 (b) 68 (c) 38 (d) 20

Answer key

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

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