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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 525 · 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 5x + 14 = 4x + 25, what is x? (a) 12 (b) 11 (c) 13 (d) 39
  2. 2.If x/4 + 8 = 12, what is x? (a) 16 (b) 4 (c) 40 (d) 80
  3. 3.If 6x + 11 = 53, what is x? (a) 6 (b) 8 (c) 7 (d) 42
  4. 4.If 4x + 2 = 22, what is x? (a) 5 (b) 20 (c) 4 (d) 6
  5. 5.If 3x + 2 = 17, what is x? (a) 4 (b) 6 (c) 5 (d) 15
  6. 6.If 4x + 20 = 3x + 30, what is x? (a) 10 (b) 50 (c) 12 (d) 11
  7. 7.If 6x + 13 = 37, what is x? (a) 5 (b) 24 (c) 4 (d) 3
  8. 8.If x/4 + 15 = 25, what is x? (a) 10 (b) 160 (c) 85 (d) 40
  9. 9.If 5x − 4 = 31, what is x? (a) 8 (b) 35 (c) 6 (d) 7
  10. 10.If 2x + 12 = 16, what is x? (a) 14 (b) 4 (c) 3 (d) 2
  11. 11.If x/2 + 10 = 17, what is x? (a) 24 (b) 54 (c) 14 (d) 7
  12. 12.If 2x + 5 = 11, what is x? (a) 3 (b) 8 (c) 6 (d) 4
  13. 13.If 3x + 25 = 49, what is x? (a) 9 (b) 8 (c) 24 (d) 7
  14. 14.If 4x + 27 = 63, what is x? (a) 8 (b) 36 (c) 9 (d) 10
  15. 15.If 2x − 2 = 10, what is x? (a) 12 (b) 6 (c) 7 (d) 4
  16. 16.If 6x + 5 = 89, what is x? (a) 84 (b) 15 (c) 13 (d) 14
  17. 17.If 5x + 11 = 4x + 18, what is x? (a) 8 (b) 7 (c) 9 (d) 29
  18. 18.If 3x − 2 = 16, what is x? (a) 7 (b) 5 (c) 6 (d) 18
  19. 19.If 2x − 3 = 5, what is x? (a) 1 (b) 5 (c) 4 (d) 8
  20. 20.If 4x − 15 = 1, what is x? (a) 16 (b) 3 (c) 5 (d) 4
  21. 21.If x/3 + 15 = 24, what is x? (a) 117 (b) 27 (c) 57 (d) 9
  22. 22.If 6x − 67 = 5, what is x? (a) 13 (b) 12 (c) 11 (d) 72
  23. 23.If x/3 + 12 = 22, what is x? (a) 30 (b) 54 (c) 10 (d) 102
  24. 24.If 2x + 30 = 36, what is x? (a) 4 (b) 6 (c) 3 (d) 33
  25. 25.If 3x − 4 = 14, what is x? (a) 7 (b) 5 (c) 18 (d) 6
  26. 26.If 9x − 28 = 17, what is x? (a) 45 (b) 5 (c) 4 (d) 6
  27. 27.If 4x + 8 = 36, what is x? (a) 11 (b) 8 (c) 28 (d) 7
  28. 28.If 3x + 23 = 68, what is x? (a) 16 (b) 45 (c) 15 (d) 14
  29. 29.If 6x − 60 = 18, what is x? (a) 14 (b) 13 (c) 12 (d) 78
  30. 30.If x/6 + 8 = 12, what is x? (a) 120 (b) 64 (c) 24 (d) 4
  31. 31.If 2x − 3 = 17, what is x? (a) 10 (b) 20 (c) 11 (d) 7
  32. 32.If 6x − 18 = 54, what is x? (a) 6 (b) 72 (c) 12 (d) 13
  33. 33.If 3x + 12 = 2x + 15, what is x? (a) 27 (b) 3 (c) 4 (d) 5
  34. 34.If 4x − 10 = 14, what is x? (a) 24 (b) 7 (c) 6 (d) 1
  35. 35.If x/2 + 9 = 17, what is x? (a) 16 (b) 25 (c) 8 (d) 52
  36. 36.If 8x − 4 = 76, what is x? (a) 9 (b) 80 (c) 11 (d) 10
  37. 37.If 3x − 18 = 9, what is x? (a) 10 (b) 9 (c) 27 (d) 8
  38. 38.If 4x + 3 = 19, what is x? (a) 5 (b) 3 (c) 16 (d) 4
  39. 39.If x/6 + 1 = 7, what is x? (a) 41 (b) 48 (c) 6 (d) 36
  40. 40.If 5x − 2 = 48, what is x? (a) 50 (b) 10 (c) 9 (d) 11

Answer key

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

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