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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 156 · 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/3 + 3 = 6, what is x? (a) 27 (b) 3 (c) 9 (d) 15
  2. 2.If x/6 + 5 = 15, what is x? (a) 10 (b) 85 (c) 120 (d) 60
  3. 3.If 7x + 4 = 2x + 44, what is x? (a) 10 (b) 8 (c) 9 (d) 7
  4. 4.If 9x + 18 = 2x + 32, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  5. 5.If 2x + 9 = 17, what is x? (a) 13 (b) 5 (c) 4 (d) 8
  6. 6.If 5x + 9 = 19, what is x? (a) 1 (b) 10 (c) 2 (d) 3
  7. 7.If x/4 + 15 = 17, what is x? (a) 8 (b) 128 (c) 2 (d) 53
  8. 8.If 3x − 24 = 3, what is x? (a) 10 (b) 27 (c) 9 (d) 8
  9. 9.If 3x + 18 = 2x + 27, what is x? (a) 45 (b) 11 (c) 10 (d) 9
  10. 10.If 4x + 7 = x + 13, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  11. 11.If 6x − 12 = 36, what is x? (a) 48 (b) 4 (c) 9 (d) 8
  12. 12.If 7x + 1 = 6x + 3, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  13. 13.If 7x + 16 = 100, what is x? (a) 12 (b) 13 (c) 11 (d) 84
  14. 14.If 7x + 26 = 54, what is x? (a) 4 (b) 3 (c) 28 (d) 5
  15. 15.If 4x − 24 = 28, what is x? (a) 14 (b) 52 (c) 13 (d) 1
  16. 16.If 7x − 84 = 14, what is x? (a) 15 (b) 14 (c) 98 (d) 13
  17. 17.If 5x + 26 = 96, what is x? (a) 13 (b) 14 (c) 15 (d) 70
  18. 18.If 6x − 51 = 3, what is x? (a) 8 (b) 10 (c) 54 (d) 9
  19. 19.If 3x − 4 = 2, what is x? (a) 1 (b) 3 (c) 2 (d) 6
  20. 20.If 9x + 1 = 2x + 71, what is x? (a) 11 (b) 9 (c) 10 (d) 12
  21. 21.If 7x + 3 = 3x + 19, what is x? (a) 6 (b) 5 (c) 3 (d) 4
  22. 22.If x/6 + 2 = 13, what is x? (a) 90 (b) 76 (c) 66 (d) 11
  23. 23.If 8x − 21 = 51, what is x? (a) 72 (b) 9 (c) 8 (d) 10
  24. 24.If 4x + 15 = x + 48, what is x? (a) 21 (b) 12 (c) 13 (d) 11
  25. 25.If 6x + 18 = 5x + 29, what is x? (a) 1 (b) 12 (c) 47 (d) 11
  26. 26.If 4x + 24 = 84, what is x? (a) 27 (b) 16 (c) 60 (d) 15
  27. 27.If 7x − 9 = 5, what is x? (a) 2 (b) 3 (c) 1 (d) 14
  28. 28.If 9x + 18 = 3x + 42, what is x? (a) 10 (b) 4 (c) 5 (d) 2
  29. 29.If 3x + 22 = 58, what is x? (a) 13 (b) 36 (c) 11 (d) 12
  30. 30.If 4x + 19 = 63, what is x? (a) 44 (b) 12 (c) 10 (d) 11
  31. 31.If 7x + 7 = 112, what is x? (a) 16 (b) 17 (c) 15 (d) 105
  32. 32.If 7x + 25 = 123, what is x? (a) 15 (b) 98 (c) 13 (d) 14
  33. 33.If 9x + 9 = 45, what is x? (a) 5 (b) 36 (c) 4 (d) 6
  34. 34.If 4x + 10 = 18, what is x? (a) 7 (b) 2 (c) 8 (d) 3
  35. 35.If 4x + 18 = x + 24, what is x? (a) 4 (b) 14 (c) 2 (d) 3
  36. 36.If 8x + 10 = 58, what is x? (a) 48 (b) 7 (c) 6 (d) 5
  37. 37.If 7x + 28 = 133, what is x? (a) 16 (b) 105 (c) 23 (d) 15
  38. 38.If x/4 + 11 = 20, what is x? (a) 36 (b) 69 (c) 9 (d) 124
  39. 39.If 3x + 13 = x + 15, what is x? (a) 14 (b) 1 (c) 3 (d) 2
  40. 40.If 3x + 15 = 2x + 16, what is x? (a) 31 (b) 3 (c) 2 (d) 1

Answer key

  1. 9
  2. 60
  3. 8
  4. 2
  5. 4
  6. 2
  7. 8
  8. 9
  9. 9
  10. 2
  11. 8
  12. 2
  13. 12
  14. 4
  15. 13
  16. 14
  17. 14
  18. 9
  19. 2
  20. 10
  21. 4
  22. 66
  23. 9
  24. 11
  25. 11
  26. 15
  27. 2
  28. 4
  29. 12
  30. 11
  31. 15
  32. 14
  33. 4
  34. 2
  35. 2
  36. 6
  37. 15
  38. 36
  39. 1
  40. 1

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