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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 720 · 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 4x + 27 = 35, what is x? (a) 8 (b) 2 (c) 3 (d) 1
  2. 2.If x/6 + 2 = 11, what is x? (a) 9 (b) 54 (c) 64 (d) 78
  3. 3.If 2x − 2 = 4, what is x? (a) 4 (b) 1 (c) 3 (d) 6
  4. 4.If x/4 + 11 = 16, what is x? (a) 5 (b) 108 (c) 20 (d) 53
  5. 5.If 4x + 17 = 25, what is x? (a) 1 (b) 8 (c) 3 (d) 2
  6. 6.If 5x + 12 = 2x + 18, what is x? (a) 3 (b) 10 (c) 2 (d) 4
  7. 7.If x/5 + 3 = 15, what is x? (a) 12 (b) 90 (c) 60 (d) 72
  8. 8.If 8x + 10 = 4x + 14, what is x? (a) 1 (b) 6 (c) 2 (d) 3
  9. 9.If 4x − 23 = 33, what is x? (a) 13 (b) 14 (c) 56 (d) 15
  10. 10.If x/4 + 1 = 5, what is x? (a) 19 (b) 16 (c) 24 (d) 4
  11. 11.If 7x + 8 = 2x + 13, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  12. 12.If 5x − 5 = 5, what is x? (a) 1 (b) 2 (c) 10 (d) 3
  13. 13.If x/2 + 15 = 26, what is x? (a) 37 (b) 82 (c) 22 (d) 11
  14. 14.If 9x + 4 = 103, what is x? (a) 99 (b) 12 (c) 10 (d) 11
  15. 15.If 6x + 2 = 4x + 8, what is x? (a) 4 (b) 2 (c) 3 (d) 5
  16. 16.If 8x − 47 = 73, what is x? (a) 14 (b) 16 (c) 15 (d) 120
  17. 17.If 5x − 13 = 22, what is x? (a) 7 (b) 8 (c) 35 (d) 6
  18. 18.If 7x + 18 = 3x + 46, what is x? (a) 16 (b) 8 (c) 9 (d) 7
  19. 19.If 6x − 8 = 22, what is x? (a) 6 (b) 4 (c) 5 (d) 30
  20. 20.If 4x + 15 = 51, what is x? (a) 10 (b) 8 (c) 36 (d) 9
  21. 21.If 9x − 3 = 132, what is x? (a) 14 (b) 135 (c) 16 (d) 15
  22. 22.If 4x + 11 = 43, what is x? (a) 32 (b) 9 (c) 7 (d) 8
  23. 23.If 4x + 27 = 83, what is x? (a) 15 (b) 13 (c) 14 (d) 56
  24. 24.If 7x + 22 = 78, what is x? (a) 7 (b) 9 (c) 8 (d) 56
  25. 25.If x/3 + 1 = 8, what is x? (a) 27 (b) 21 (c) 7 (d) 23
  26. 26.If 6x + 11 = x + 16, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  27. 27.If 9x + 2 = x + 90, what is x? (a) 10 (b) 13 (c) 11 (d) 12
  28. 28.If 3x + 24 = 60, what is x? (a) 12 (b) 36 (c) 28 (d) 13
  29. 29.If 6x − 11 = 37, what is x? (a) 48 (b) 9 (c) 7 (d) 8
  30. 30.If 4x − 6 = 2, what is x? (a) 3 (b) 2 (c) 1 (d) 8
  31. 31.If 4x + 11 = x + 47, what is x? (a) 14 (b) 11 (c) 13 (d) 12
  32. 32.If 6x + 6 = 2x + 14, what is x? (a) 3 (b) 2 (c) 5 (d) 1
  33. 33.If 6x − 11 = 7, what is x? (a) 2 (b) 18 (c) 4 (d) 3
  34. 34.If x/2 + 15 = 18, what is x? (a) 21 (b) 66 (c) 3 (d) 6
  35. 35.If 2x − 1 = 3, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  36. 36.If 4x + 7 = 2x + 23, what is x? (a) 8 (b) 10 (c) 9 (d) 15
  37. 37.If x/5 + 1 = 8, what is x? (a) 7 (b) 35 (c) 39 (d) 45
  38. 38.If 6x − 3 = 9, what is x? (a) 2 (b) 12 (c) 1 (d) 3
  39. 39.If x/3 + 10 = 15, what is x? (a) 5 (b) 35 (c) 15 (d) 75
  40. 40.If 6x + 6 = 96, what is x? (a) 17 (b) 16 (c) 90 (d) 15

Answer key

  1. 2
  2. 54
  3. 3
  4. 20
  5. 2
  6. 2
  7. 60
  8. 1
  9. 14
  10. 16
  11. 1
  12. 2
  13. 22
  14. 11
  15. 3
  16. 15
  17. 7
  18. 7
  19. 5
  20. 9
  21. 15
  22. 8
  23. 14
  24. 8
  25. 21
  26. 1
  27. 11
  28. 12
  29. 8
  30. 2
  31. 12
  32. 2
  33. 3
  34. 6
  35. 2
  36. 8
  37. 35
  38. 2
  39. 15
  40. 15

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