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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 22 · 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/5 + 6 = 11, what is x? (a) 5 (b) 49 (c) 25 (d) 85
  2. 2.If 9x − 27 = 45, what is x? (a) 72 (b) 2 (c) 9 (d) 8
  3. 3.If 2x + 15 = 21, what is x? (a) 3 (b) 18 (c) 4 (d) 6
  4. 4.If 8x + 17 = 7x + 28, what is x? (a) 13 (b) 11 (c) 12 (d) 45
  5. 5.If 7x + 13 = 5x + 33, what is x? (a) 12 (b) 23 (c) 11 (d) 10
  6. 6.If 4x + 2 = 26, what is x? (a) 7 (b) 24 (c) 5 (d) 6
  7. 7.If 7x + 9 = 3x + 37, what is x? (a) 9 (b) 7 (c) 6 (d) 8
  8. 8.If x/5 + 7 = 10, what is x? (a) 15 (b) 43 (c) 3 (d) 85
  9. 9.If x/5 + 8 = 18, what is x? (a) 50 (b) 130 (c) 82 (d) 10
  10. 10.If 9x − 60 = 21, what is x? (a) 81 (b) 8 (c) 9 (d) 10
  11. 11.If 4x + 10 = x + 43, what is x? (a) 10 (b) 12 (c) 13 (d) 11
  12. 12.If 6x − 70 = 14, what is x? (a) 13 (b) 15 (c) 84 (d) 14
  13. 13.If 4x + 6 = x + 18, what is x? (a) 5 (b) 6 (c) 4 (d) 8
  14. 14.If x/3 + 6 = 14, what is x? (a) 24 (b) 8 (c) 60 (d) 36
  15. 15.If 5x − 6 = 19, what is x? (a) 5 (b) 4 (c) 6 (d) 25
  16. 16.If 6x + 4 = 2x + 48, what is x? (a) 12 (b) 10 (c) 13 (d) 11
  17. 17.If 3x − 19 = 20, what is x? (a) 13 (b) 39 (c) 12 (d) 14
  18. 18.If 3x − 26 = 1, what is x? (a) 8 (b) 10 (c) 9 (d) 27
  19. 19.If 7x + 8 = 6x + 10, what is x? (a) 4 (b) 3 (c) 18 (d) 2
  20. 20.If 6x + 29 = 107, what is x? (a) 78 (b) 12 (c) 13 (d) 14
  21. 21.If x/3 + 1 = 10, what is x? (a) 29 (b) 27 (c) 9 (d) 33
  22. 22.If 3x + 5 = 2x + 6, what is x? (a) 3 (b) 1 (c) 11 (d) 2
  23. 23.If 9x + 14 = 4x + 29, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  24. 24.If 3x + 16 = 25, what is x? (a) 3 (b) 4 (c) 2 (d) 9
  25. 25.If x/5 + 13 = 21, what is x? (a) 92 (b) 8 (c) 170 (d) 40
  26. 26.If x/4 + 9 = 15, what is x? (a) 96 (b) 24 (c) 51 (d) 6
  27. 27.If 8x − 1 = 15, what is x? (a) 1 (b) 2 (c) 16 (d) 3
  28. 28.If 8x + 17 = 57, what is x? (a) 40 (b) 6 (c) 4 (d) 5
  29. 29.If x/3 + 5 = 8, what is x? (a) 19 (b) 9 (c) 39 (d) 3
  30. 30.If 3x + 15 = 24, what is x? (a) 13 (b) 3 (c) 4 (d) 9
  31. 31.If 8x + 10 = 130, what is x? (a) 15 (b) 16 (c) 14 (d) 120
  32. 32.If x/4 + 6 = 16, what is x? (a) 88 (b) 10 (c) 40 (d) 58
  33. 33.If 2x + 5 = 9, what is x? (a) 4 (b) 3 (c) 7 (d) 2
  34. 34.If 9x − 13 = 95, what is x? (a) 11 (b) 13 (c) 108 (d) 12
  35. 35.If 9x − 46 = 44, what is x? (a) 90 (b) 9 (c) 11 (d) 10
  36. 36.If x/3 + 12 = 20, what is x? (a) 96 (b) 48 (c) 24 (d) 8
  37. 37.If x/2 + 3 = 13, what is x? (a) 10 (b) 20 (c) 32 (d) 23
  38. 38.If 2x + 7 = 33, what is x? (a) 26 (b) 20 (c) 14 (d) 13
  39. 39.If 3x − 13 = 14, what is x? (a) 9 (b) 27 (c) 8 (d) 10
  40. 40.If 3x + 30 = 42, what is x? (a) 12 (b) 4 (c) 24 (d) 5

Answer key

  1. 25
  2. 8
  3. 3
  4. 11
  5. 10
  6. 6
  7. 7
  8. 15
  9. 50
  10. 9
  11. 11
  12. 14
  13. 4
  14. 24
  15. 5
  16. 11
  17. 13
  18. 9
  19. 2
  20. 13
  21. 27
  22. 1
  23. 3
  24. 3
  25. 40
  26. 24
  27. 2
  28. 5
  29. 9
  30. 3
  31. 15
  32. 40
  33. 2
  34. 12
  35. 10
  36. 24
  37. 20
  38. 13
  39. 9
  40. 4

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