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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 531 · 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/2 + 1 = 7, what is x? (a) 16 (b) 13 (c) 6 (d) 12
  2. 2.If 6x + 9 = 2x + 29, what is x? (a) 5 (b) 6 (c) 7 (d) 4
  3. 3.If x/6 + 14 = 16, what is x? (a) 12 (b) 2 (c) 82 (d) 180
  4. 4.If 9x − 20 = 34, what is x? (a) 5 (b) 54 (c) 7 (d) 6
  5. 5.If x/5 + 8 = 14, what is x? (a) 30 (b) 110 (c) 62 (d) 6
  6. 6.If 9x − 30 = 78, what is x? (a) 108 (b) 13 (c) 11 (d) 12
  7. 7.If 6x + 10 = 76, what is x? (a) 12 (b) 11 (c) 10 (d) 66
  8. 8.If 3x + 6 = 2x + 11, what is x? (a) 1 (b) 17 (c) 6 (d) 5
  9. 9.If 5x + 3 = 4x + 11, what is x? (a) 14 (b) 8 (c) 9 (d) 10
  10. 10.If 6x + 19 = 61, what is x? (a) 42 (b) 8 (c) 7 (d) 6
  11. 11.If x/5 + 6 = 11, what is x? (a) 85 (b) 49 (c) 25 (d) 5
  12. 12.If 4x − 42 = 6, what is x? (a) 12 (b) 13 (c) 11 (d) 48
  13. 13.If x/3 + 1 = 12, what is x? (a) 35 (b) 39 (c) 33 (d) 11
  14. 14.If 3x + 11 = 29, what is x? (a) 5 (b) 18 (c) 7 (d) 6
  15. 15.If x/4 + 14 = 24, what is x? (a) 40 (b) 10 (c) 152 (d) 82
  16. 16.If 9x − 54 = 63, what is x? (a) 1 (b) 13 (c) 14 (d) 117
  17. 17.If x/3 + 12 = 18, what is x? (a) 42 (b) 6 (c) 18 (d) 90
  18. 18.If x/4 + 13 = 20, what is x? (a) 28 (b) 67 (c) 7 (d) 132
  19. 19.If x/5 + 6 = 9, what is x? (a) 39 (b) 75 (c) 3 (d) 15
  20. 20.If 3x + 13 = x + 21, what is x? (a) 17 (b) 5 (c) 2 (d) 4
  21. 21.If 6x − 33 = 3, what is x? (a) 7 (b) 36 (c) 6 (d) 5
  22. 22.If 2x − 2 = 12, what is x? (a) 5 (b) 7 (c) 14 (d) 8
  23. 23.If 4x + 2 = 46, what is x? (a) 44 (b) 10 (c) 12 (d) 11
  24. 24.If x/6 + 5 = 7, what is x? (a) 37 (b) 72 (c) 12 (d) 2
  25. 25.If 7x + 8 = 4x + 14, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  26. 26.If 4x + 7 = 47, what is x? (a) 11 (b) 40 (c) 10 (d) 9
  27. 27.If x/4 + 4 = 7, what is x? (a) 24 (b) 12 (c) 44 (d) 3
  28. 28.If 3x − 23 = 22, what is x? (a) 16 (b) 15 (c) 45 (d) 14
  29. 29.If 9x − 24 = 84, what is x? (a) 108 (b) 13 (c) 12 (d) 11
  30. 30.If 9x + 7 = 2x + 77, what is x? (a) 10 (b) 11 (c) 12 (d) 9
  31. 31.If x/3 + 12 = 14, what is x? (a) 78 (b) 30 (c) 2 (d) 6
  32. 32.If 6x + 22 = 70, what is x? (a) 7 (b) 8 (c) 48 (d) 9
  33. 33.If x/3 + 2 = 11, what is x? (a) 39 (b) 31 (c) 9 (d) 27
  34. 34.If 6x + 18 = 4x + 42, what is x? (a) 14 (b) 30 (c) 13 (d) 12
  35. 35.If 9x + 9 = 63, what is x? (a) 54 (b) 8 (c) 7 (d) 6
  36. 36.If 2x + 10 = 24, what is x? (a) 17 (b) 14 (c) 8 (d) 7
  37. 37.If x/6 + 4 = 6, what is x? (a) 60 (b) 32 (c) 2 (d) 12
  38. 38.If 7x + 21 = 84, what is x? (a) 15 (b) 63 (c) 9 (d) 10
  39. 39.If 7x − 36 = 13, what is x? (a) 49 (b) 6 (c) 7 (d) 8
  40. 40.If 2x − 10 = 2, what is x? (a) 12 (b) 6 (c) 5 (d) 7

Answer key

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

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