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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 108 · 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 6x + 11 = 4x + 13, what is x? (a) 3 (b) 2 (c) 1 (d) 12
  2. 2.If 7x + 8 = 78, what is x? (a) 10 (b) 11 (c) 9 (d) 70
  3. 3.If x/3 + 12 = 17, what is x? (a) 87 (b) 5 (c) 15 (d) 39
  4. 4.If 3x − 25 = 14, what is x? (a) 13 (b) 39 (c) 12 (d) 14
  5. 5.If 8x + 8 = 48, what is x? (a) 40 (b) 6 (c) 5 (d) 7
  6. 6.If x/6 + 7 = 9, what is x? (a) 12 (b) 2 (c) 96 (d) 47
  7. 7.If 9x − 13 = 5, what is x? (a) 18 (b) 3 (c) 1 (d) 2
  8. 8.If 4x − 1 = 35, what is x? (a) 10 (b) 9 (c) 8 (d) 36
  9. 9.If 8x + 9 = 81, what is x? (a) 10 (b) 72 (c) 9 (d) 8
  10. 10.If x/2 + 13 = 23, what is x? (a) 72 (b) 33 (c) 10 (d) 20
  11. 11.If 3x + 18 = 57, what is x? (a) 13 (b) 25 (c) 14 (d) 39
  12. 12.If 2x − 4 = 4, what is x? (a) 3 (b) 5 (c) 4 (d) 8
  13. 13.If 4x + 20 = 36, what is x? (a) 4 (b) 5 (c) 16 (d) 14
  14. 14.If 6x − 27 = 21, what is x? (a) 7 (b) 48 (c) 8 (d) 9
  15. 15.If 7x + 12 = 6x + 15, what is x? (a) 3 (b) 5 (c) 27 (d) 4
  16. 16.If 6x + 4 = 82, what is x? (a) 12 (b) 14 (c) 78 (d) 13
  17. 17.If x/6 + 10 = 12, what is x? (a) 132 (b) 2 (c) 12 (d) 62
  18. 18.If 6x + 19 = x + 79, what is x? (a) 14 (b) 13 (c) 11 (d) 12
  19. 19.If 2x + 3 = 33, what is x? (a) 16 (b) 15 (c) 18 (d) 30
  20. 20.If 8x + 17 = 6x + 25, what is x? (a) 21 (b) 5 (c) 4 (d) 6
  21. 21.If 3x + 2 = x + 24, what is x? (a) 13 (b) 11 (c) 10 (d) 12
  22. 22.If 9x − 1 = 26, what is x? (a) 4 (b) 2 (c) 27 (d) 3
  23. 23.If 4x + 1 = 3x + 7, what is x? (a) 6 (b) 5 (c) 7 (d) 8
  24. 24.If 9x − 78 = 30, what is x? (a) 13 (b) 12 (c) 11 (d) 108
  25. 25.If x/4 + 12 = 18, what is x? (a) 60 (b) 6 (c) 24 (d) 120
  26. 26.If x/4 + 7 = 12, what is x? (a) 5 (b) 20 (c) 41 (d) 76
  27. 27.If x/6 + 5 = 16, what is x? (a) 66 (b) 91 (c) 11 (d) 126
  28. 28.If 5x − 11 = 29, what is x? (a) 9 (b) 40 (c) 7 (d) 8
  29. 29.If 7x + 12 = 5x + 16, what is x? (a) 2 (b) 4 (c) 3 (d) 14
  30. 30.If 3x − 35 = 4, what is x? (a) 39 (b) 12 (c) 14 (d) 13
  31. 31.If 9x + 29 = 137, what is x? (a) 11 (b) 13 (c) 12 (d) 108
  32. 32.If x/2 + 11 = 21, what is x? (a) 10 (b) 31 (c) 20 (d) 64
  33. 33.If 3x − 6 = 36, what is x? (a) 10 (b) 15 (c) 14 (d) 42
  34. 34.If 2x − 7 = 21, what is x? (a) 14 (b) 7 (c) 15 (d) 28
  35. 35.If 2x + 11 = 17, what is x? (a) 3 (b) 6 (c) 14 (d) 4
  36. 36.If 9x + 5 = 3x + 41, what is x? (a) 3 (b) 8 (c) 6 (d) 7
  37. 37.If 8x + 15 = 5x + 18, what is x? (a) 3 (b) 1 (c) 11 (d) 2
  38. 38.If 2x + 8 = 32, what is x? (a) 13 (b) 12 (c) 20 (d) 24
  39. 39.If 2x − 3 = 1, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  40. 40.If 3x + 20 = 38, what is x? (a) 6 (b) 7 (c) 5 (d) 18

Answer key

  1. 1
  2. 10
  3. 15
  4. 13
  5. 5
  6. 12
  7. 2
  8. 9
  9. 9
  10. 20
  11. 13
  12. 4
  13. 4
  14. 8
  15. 3
  16. 13
  17. 12
  18. 12
  19. 15
  20. 4
  21. 11
  22. 3
  23. 6
  24. 12
  25. 24
  26. 20
  27. 66
  28. 8
  29. 2
  30. 13
  31. 12
  32. 20
  33. 14
  34. 14
  35. 3
  36. 6
  37. 1
  38. 12
  39. 2
  40. 6

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