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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 281 · 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 9x + 2 = 6x + 35, what is x? (a) 11 (b) 10 (c) 12 (d) 13
  2. 2.If 2x − 1 = 3, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  3. 3.If x/3 + 8 = 15, what is x? (a) 21 (b) 7 (c) 69 (d) 37
  4. 4.If 7x + 21 = 77, what is x? (a) 14 (b) 9 (c) 56 (d) 8
  5. 5.If x/6 + 3 = 15, what is x? (a) 12 (b) 108 (c) 87 (d) 72
  6. 6.If x/2 + 1 = 10, what is x? (a) 19 (b) 9 (c) 18 (d) 22
  7. 7.If 8x + 17 = 113, what is x? (a) 11 (b) 12 (c) 96 (d) 13
  8. 8.If 9x − 15 = 39, what is x? (a) 54 (b) 7 (c) 6 (d) 5
  9. 9.If x/6 + 1 = 11, what is x? (a) 72 (b) 10 (c) 65 (d) 60
  10. 10.If 6x + 13 = 5x + 17, what is x? (a) 30 (b) 6 (c) 4 (d) 5
  11. 11.If 8x + 17 = 7x + 24, what is x? (a) 8 (b) 9 (c) 41 (d) 7
  12. 12.If x/3 + 13 = 15, what is x? (a) 84 (b) 2 (c) 32 (d) 6
  13. 13.If 8x + 11 = 2x + 59, what is x? (a) 9 (b) 8 (c) 7 (d) 10
  14. 14.If x/2 + 2 = 10, what is x? (a) 18 (b) 8 (c) 16 (d) 24
  15. 15.If 4x + 9 = 2x + 23, what is x? (a) 7 (b) 16 (c) 9 (d) 8
  16. 16.If 3x − 41 = 4, what is x? (a) 45 (b) 14 (c) 15 (d) 16
  17. 17.If 4x + 6 = 3x + 7, what is x? (a) 2 (b) 1 (c) 13 (d) 3
  18. 18.If 4x + 10 = 2x + 24, what is x? (a) 9 (b) 17 (c) 8 (d) 7
  19. 19.If 7x + 4 = 25, what is x? (a) 4 (b) 2 (c) 21 (d) 3
  20. 20.If 8x + 14 = 118, what is x? (a) 12 (b) 14 (c) 13 (d) 104
  21. 21.If 8x + 26 = 122, what is x? (a) 96 (b) 13 (c) 11 (d) 12
  22. 22.If x/6 + 15 = 18, what is x? (a) 198 (b) 3 (c) 18 (d) 93
  23. 23.If x/2 + 14 = 23, what is x? (a) 74 (b) 9 (c) 32 (d) 18
  24. 24.If 9x + 7 = 8x + 17, what is x? (a) 11 (b) 10 (c) 24 (d) 12
  25. 25.If 5x + 14 = 4x + 18, what is x? (a) 6 (b) 32 (c) 4 (d) 5
  26. 26.If 9x + 9 = 2x + 51, what is x? (a) 5 (b) 6 (c) 8 (d) 7
  27. 27.If x/2 + 7 = 11, what is x? (a) 15 (b) 36 (c) 8 (d) 4
  28. 28.If 5x + 9 = 19, what is x? (a) 1 (b) 3 (c) 2 (d) 10
  29. 29.If 2x − 3 = 25, what is x? (a) 11 (b) 15 (c) 14 (d) 28
  30. 30.If x/6 + 11 = 23, what is x? (a) 127 (b) 204 (c) 72 (d) 12
  31. 31.If 4x + 9 = 53, what is x? (a) 11 (b) 44 (c) 12 (d) 10
  32. 32.If 3x + 16 = 31, what is x? (a) 15 (b) 6 (c) 5 (d) 4
  33. 33.If 8x + 16 = 88, what is x? (a) 10 (b) 13 (c) 9 (d) 72
  34. 34.If x/2 + 1 = 13, what is x? (a) 24 (b) 12 (c) 25 (d) 28
  35. 35.If 9x − 26 = 1, what is x? (a) 3 (b) 4 (c) 2 (d) 27
  36. 36.If 8x + 19 = 3x + 79, what is x? (a) 12 (b) 14 (c) 13 (d) 11
  37. 37.If 8x + 3 = 7x + 5, what is x? (a) 4 (b) 8 (c) 2 (d) 3
  38. 38.If 2x + 1 = 17, what is x? (a) 9 (b) 16 (c) 7 (d) 8
  39. 39.If 7x + 7 = 21, what is x? (a) 2 (b) 14 (c) 4 (d) 3
  40. 40.If x/4 + 9 = 17, what is x? (a) 8 (b) 32 (c) 104 (d) 59

Answer key

  1. 11
  2. 2
  3. 21
  4. 8
  5. 72
  6. 18
  7. 12
  8. 6
  9. 60
  10. 4
  11. 7
  12. 6
  13. 8
  14. 16
  15. 7
  16. 15
  17. 1
  18. 7
  19. 3
  20. 13
  21. 12
  22. 18
  23. 18
  24. 10
  25. 4
  26. 6
  27. 8
  28. 2
  29. 14
  30. 72
  31. 11
  32. 5
  33. 9
  34. 24
  35. 3
  36. 12
  37. 2
  38. 8
  39. 2
  40. 32

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