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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 403 · 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 + 23 = 59, what is x? (a) 4 (b) 3 (c) 5 (d) 36
  2. 2.If 4x + 7 = 35, what is x? (a) 8 (b) 6 (c) 7 (d) 28
  3. 3.If 6x + 10 = 88, what is x? (a) 14 (b) 78 (c) 13 (d) 12
  4. 4.If 4x + 5 = x + 17, what is x? (a) 6 (b) 3 (c) 4 (d) 5
  5. 5.If 8x + 17 = 49, what is x? (a) 4 (b) 32 (c) 5 (d) 3
  6. 6.If 9x + 24 = 123, what is x? (a) 12 (b) 10 (c) 11 (d) 99
  7. 7.If 6x + 3 = 5x + 11, what is x? (a) 14 (b) 9 (c) 8 (d) 10
  8. 8.If x/4 + 2 = 13, what is x? (a) 50 (b) 44 (c) 60 (d) 11
  9. 9.If 7x − 64 = 41, what is x? (a) 105 (b) 16 (c) 15 (d) 14
  10. 10.If 5x + 17 = x + 49, what is x? (a) 7 (b) 9 (c) 10 (d) 8
  11. 11.If 8x + 14 = 6x + 20, what is x? (a) 5 (b) 17 (c) 3 (d) 4
  12. 12.If 6x − 13 = 11, what is x? (a) 24 (b) 3 (c) 4 (d) 5
  13. 13.If 9x + 14 = 5x + 58, what is x? (a) 12 (b) 13 (c) 18 (d) 11
  14. 14.If 4x − 26 = 10, what is x? (a) 9 (b) 36 (c) 10 (d) 8
  15. 15.If 8x + 4 = 60, what is x? (a) 7 (b) 8 (c) 6 (d) 56
  16. 16.If 7x + 1 = 106, what is x? (a) 105 (b) 15 (c) 16 (d) 14
  17. 17.If x/2 + 15 = 23, what is x? (a) 31 (b) 8 (c) 76 (d) 16
  18. 18.If 9x + 13 = x + 61, what is x? (a) 5 (b) 6 (c) 7 (d) 8
  19. 19.If 9x + 14 = 2x + 49, what is x? (a) 5 (b) 9 (c) 7 (d) 6
  20. 20.If 9x + 7 = 133, what is x? (a) 14 (b) 126 (c) 13 (d) 15
  21. 21.If 6x + 14 = 56, what is x? (a) 8 (b) 7 (c) 6 (d) 42
  22. 22.If 9x + 17 = 35, what is x? (a) 18 (b) 3 (c) 1 (d) 2
  23. 23.If 5x − 5 = 5, what is x? (a) 3 (b) 10 (c) 2 (d) 1
  24. 24.If 2x − 8 = 22, what is x? (a) 30 (b) 16 (c) 7 (d) 15
  25. 25.If x/5 + 13 = 18, what is x? (a) 77 (b) 155 (c) 25 (d) 5
  26. 26.If 2x − 9 = 1, what is x? (a) 10 (b) 4 (c) 6 (d) 5
  27. 27.If x/3 + 14 = 19, what is x? (a) 5 (b) 43 (c) 99 (d) 15
  28. 28.If 3x + 9 = 21, what is x? (a) 12 (b) 5 (c) 4 (d) 10
  29. 29.If 3x + 7 = 2x + 14, what is x? (a) 21 (b) 8 (c) 9 (d) 7
  30. 30.If 3x − 14 = 7, what is x? (a) 21 (b) 7 (c) 6 (d) 8
  31. 31.If 4x + 7 = x + 40, what is x? (a) 12 (b) 10 (c) 13 (d) 11
  32. 32.If 7x + 12 = 5x + 36, what is x? (a) 24 (b) 12 (c) 2 (d) 13
  33. 33.If x/3 + 5 = 17, what is x? (a) 66 (b) 36 (c) 46 (d) 12
  34. 34.If 3x − 3 = 24, what is x? (a) 10 (b) 9 (c) 7 (d) 27
  35. 35.If x/6 + 6 = 9, what is x? (a) 3 (b) 18 (c) 48 (d) 90
  36. 36.If x/6 + 6 = 8, what is x? (a) 84 (b) 42 (c) 2 (d) 12
  37. 37.If 6x − 11 = 13, what is x? (a) 4 (b) 5 (c) 3 (d) 24
  38. 38.If 7x + 11 = 2x + 61, what is x? (a) 9 (b) 10 (c) 12 (d) 11
  39. 39.If x/4 + 10 = 17, what is x? (a) 7 (b) 108 (c) 28 (d) 58
  40. 40.If 9x + 4 = 3x + 10, what is x? (a) 3 (b) 4 (c) 2 (d) 1

Answer key

  1. 4
  2. 7
  3. 13
  4. 4
  5. 4
  6. 11
  7. 8
  8. 44
  9. 15
  10. 8
  11. 3
  12. 4
  13. 11
  14. 9
  15. 7
  16. 15
  17. 16
  18. 6
  19. 5
  20. 14
  21. 7
  22. 2
  23. 2
  24. 15
  25. 25
  26. 5
  27. 15
  28. 4
  29. 7
  30. 7
  31. 11
  32. 12
  33. 36
  34. 9
  35. 18
  36. 12
  37. 4
  38. 10
  39. 28
  40. 1

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