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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 135 · 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 8x + 17 = 105, what is x? (a) 12 (b) 11 (c) 10 (d) 88
  2. 2.If 8x − 32 = 40, what is x? (a) 1 (b) 10 (c) 9 (d) 72
  3. 3.If 9x − 32 = 4, what is x? (a) 4 (b) 36 (c) 5 (d) 3
  4. 4.If 9x + 25 = 61, what is x? (a) 3 (b) 5 (c) 4 (d) 36
  5. 5.If 6x + 14 = 38, what is x? (a) 5 (b) 3 (c) 24 (d) 4
  6. 6.If 9x + 16 = x + 104, what is x? (a) 15 (b) 13 (c) 11 (d) 12
  7. 7.If 7x + 10 = 24, what is x? (a) 1 (b) 14 (c) 2 (d) 3
  8. 8.If 7x + 4 = 53, what is x? (a) 6 (b) 7 (c) 49 (d) 8
  9. 9.If 3x + 5 = 23, what is x? (a) 5 (b) 6 (c) 18 (d) 7
  10. 10.If x/5 + 11 = 20, what is x? (a) 9 (b) 45 (c) 89 (d) 155
  11. 11.If 4x + 22 = 82, what is x? (a) 16 (b) 26 (c) 60 (d) 15
  12. 12.If 4x − 39 = 17, what is x? (a) 15 (b) 14 (c) 56 (d) 13
  13. 13.If 3x + 4 = 46, what is x? (a) 42 (b) 15 (c) 13 (d) 14
  14. 14.If 8x − 5 = 75, what is x? (a) 11 (b) 10 (c) 9 (d) 80
  15. 15.If 9x + 24 = 132, what is x? (a) 11 (b) 12 (c) 108 (d) 13
  16. 16.If x/6 + 14 = 16, what is x? (a) 2 (b) 180 (c) 82 (d) 12
  17. 17.If 3x + 26 = 71, what is x? (a) 15 (b) 14 (c) 16 (d) 45
  18. 18.If 8x + 20 = 108, what is x? (a) 16 (b) 88 (c) 12 (d) 11
  19. 19.If 9x − 43 = 83, what is x? (a) 126 (b) 13 (c) 14 (d) 15
  20. 20.If x/5 + 3 = 6, what is x? (a) 15 (b) 3 (c) 27 (d) 45
  21. 21.If 4x − 21 = 7, what is x? (a) 7 (b) 28 (c) 6 (d) 8
  22. 22.If 5x + 26 = 76, what is x? (a) 9 (b) 11 (c) 10 (d) 50
  23. 23.If x/4 + 1 = 9, what is x? (a) 40 (b) 8 (c) 35 (d) 32
  24. 24.If 6x + 8 = 38, what is x? (a) 30 (b) 5 (c) 4 (d) 6
  25. 25.If 7x + 25 = 116, what is x? (a) 12 (b) 13 (c) 91 (d) 14
  26. 26.If x/2 + 7 = 11, what is x? (a) 4 (b) 15 (c) 36 (d) 8
  27. 27.If 5x − 14 = 26, what is x? (a) 7 (b) 9 (c) 40 (d) 8
  28. 28.If 6x + 3 = 63, what is x? (a) 60 (b) 9 (c) 10 (d) 11
  29. 29.If 5x + 19 = 2x + 25, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  30. 30.If 9x + 21 = 156, what is x? (a) 135 (b) 16 (c) 15 (d) 14
  31. 31.If 3x − 4 = 26, what is x? (a) 11 (b) 10 (c) 9 (d) 30
  32. 32.If x/6 + 8 = 13, what is x? (a) 126 (b) 70 (c) 30 (d) 5
  33. 33.If 5x + 19 = 3x + 27, what is x? (a) 4 (b) 1 (c) 23 (d) 5
  34. 34.If 9x − 83 = 16, what is x? (a) 99 (b) 11 (c) 12 (d) 10
  35. 35.If 8x + 20 = 7x + 27, what is x? (a) 9 (b) 7 (c) 47 (d) 8
  36. 36.If 5x + 24 = 39, what is x? (a) 3 (b) 4 (c) 2 (d) 15
  37. 37.If 6x − 26 = 28, what is x? (a) 8 (b) 9 (c) 10 (d) 54
  38. 38.If x/5 + 7 = 18, what is x? (a) 83 (b) 11 (c) 125 (d) 55
  39. 39.If 2x − 5 = 1, what is x? (a) 3 (b) 4 (c) 6 (d) 2
  40. 40.If 7x + 8 = 92, what is x? (a) 13 (b) 12 (c) 84 (d) 11

Answer key

  1. 11
  2. 9
  3. 4
  4. 4
  5. 4
  6. 11
  7. 2
  8. 7
  9. 6
  10. 45
  11. 15
  12. 14
  13. 14
  14. 10
  15. 12
  16. 12
  17. 15
  18. 11
  19. 14
  20. 15
  21. 7
  22. 10
  23. 32
  24. 5
  25. 13
  26. 8
  27. 8
  28. 10
  29. 2
  30. 15
  31. 10
  32. 30
  33. 4
  34. 11
  35. 7
  36. 3
  37. 9
  38. 55
  39. 3
  40. 12

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