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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 315 · 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 6x − 6 = 30, what is x? (a) 36 (b) 4 (c) 7 (d) 6
  2. 2.If x/3 + 4 = 14, what is x? (a) 30 (b) 54 (c) 38 (d) 10
  3. 3.If x/5 + 12 = 19, what is x? (a) 7 (b) 35 (c) 155 (d) 83
  4. 4.If 5x − 23 = 47, what is x? (a) 14 (b) 13 (c) 70 (d) 15
  5. 5.If 2x − 16 = 4, what is x? (a) 20 (b) 9 (c) 11 (d) 10
  6. 6.If x/6 + 4 = 11, what is x? (a) 42 (b) 90 (c) 62 (d) 7
  7. 7.If 7x + 17 = 6x + 20, what is x? (a) 5 (b) 3 (c) 4 (d) 37
  8. 8.If 8x + 5 = 29, what is x? (a) 4 (b) 2 (c) 24 (d) 3
  9. 9.If 4x + 4 = x + 34, what is x? (a) 10 (b) 12 (c) 11 (d) 6
  10. 10.If x/4 + 5 = 8, what is x? (a) 12 (b) 27 (c) 3 (d) 52
  11. 11.If 9x + 4 = 4x + 39, what is x? (a) 6 (b) 7 (c) 8 (d) 9
  12. 12.If 5x − 8 = 52, what is x? (a) 13 (b) 60 (c) 12 (d) 11
  13. 13.If 3x + 10 = 16, what is x? (a) 2 (b) 3 (c) 6 (d) 1
  14. 14.If x/4 + 14 = 17, what is x? (a) 3 (b) 124 (c) 54 (d) 12
  15. 15.If 3x + 2 = 8, what is x? (a) 1 (b) 2 (c) 3 (d) 6
  16. 16.If 5x − 5 = 5, what is x? (a) 1 (b) 10 (c) 3 (d) 2
  17. 17.If 9x − 15 = 30, what is x? (a) 45 (b) 6 (c) 5 (d) 4
  18. 18.If x/2 + 4 = 11, what is x? (a) 18 (b) 30 (c) 14 (d) 7
  19. 19.If 5x + 27 = 62, what is x? (a) 6 (b) 35 (c) 8 (d) 7
  20. 20.If 7x + 19 = 2x + 24, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  21. 21.If 8x + 21 = 109, what is x? (a) 88 (b) 10 (c) 11 (d) 12
  22. 22.If 3x + 13 = 37, what is x? (a) 24 (b) 7 (c) 9 (d) 8
  23. 23.If 4x + 15 = x + 18, what is x? (a) 2 (b) 3 (c) 1 (d) 11
  24. 24.If x/3 + 8 = 18, what is x? (a) 10 (b) 30 (c) 78 (d) 46
  25. 25.If 5x − 12 = 58, what is x? (a) 70 (b) 13 (c) 14 (d) 15
  26. 26.If 4x + 20 = 2x + 40, what is x? (a) 10 (b) 12 (c) 30 (d) 11
  27. 27.If 6x + 14 = 5x + 25, what is x? (a) 11 (b) 39 (c) 12 (d) 1
  28. 28.If 3x + 10 = 49, what is x? (a) 12 (b) 13 (c) 14 (d) 39
  29. 29.If 3x + 12 = 33, what is x? (a) 8 (b) 15 (c) 7 (d) 21
  30. 30.If 7x − 1 = 13, what is x? (a) 1 (b) 2 (c) 3 (d) 14
  31. 31.If 8x − 17 = 7, what is x? (a) 4 (b) 2 (c) 3 (d) 24
  32. 32.If x/3 + 7 = 19, what is x? (a) 50 (b) 36 (c) 12 (d) 78
  33. 33.If x/3 + 13 = 25, what is x? (a) 114 (b) 12 (c) 36 (d) 62
  34. 34.If 2x − 8 = 20, what is x? (a) 15 (b) 14 (c) 6 (d) 28
  35. 35.If 6x − 10 = 74, what is x? (a) 84 (b) 13 (c) 15 (d) 14
  36. 36.If 2x − 7 = 5, what is x? (a) 7 (b) 5 (c) 6 (d) 12
  37. 37.If 5x + 9 = 44, what is x? (a) 6 (b) 8 (c) 35 (d) 7
  38. 38.If 9x + 5 = 7x + 23, what is x? (a) 14 (b) 10 (c) 9 (d) 11
  39. 39.If 6x + 9 = 5x + 11, what is x? (a) 20 (b) 4 (c) 3 (d) 2
  40. 40.If 2x − 19 = 3, what is x? (a) 11 (b) 10 (c) 12 (d) 22

Answer key

  1. 6
  2. 30
  3. 35
  4. 14
  5. 10
  6. 42
  7. 3
  8. 3
  9. 10
  10. 12
  11. 7
  12. 12
  13. 2
  14. 12
  15. 2
  16. 2
  17. 5
  18. 14
  19. 7
  20. 1
  21. 11
  22. 8
  23. 1
  24. 30
  25. 14
  26. 10
  27. 11
  28. 13
  29. 7
  30. 2
  31. 3
  32. 36
  33. 36
  34. 14
  35. 14
  36. 6
  37. 7
  38. 9
  39. 2
  40. 11

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