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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 730 · 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 + 15 = x + 24, what is x? (a) 3 (b) 5 (c) 13 (d) 4
  2. 2.If 9x − 115 = 20, what is x? (a) 14 (b) 135 (c) 15 (d) 16
  3. 3.If x/3 + 5 = 14, what is x? (a) 27 (b) 57 (c) 9 (d) 37
  4. 4.If 9x − 28 = 107, what is x? (a) 135 (b) 16 (c) 15 (d) 14
  5. 5.If 5x + 2 = 67, what is x? (a) 13 (b) 14 (c) 12 (d) 65
  6. 6.If 6x + 5 = 4x + 27, what is x? (a) 16 (b) 13 (c) 11 (d) 12
  7. 7.If 9x + 20 = 3x + 74, what is x? (a) 8 (b) 9 (c) 10 (d) 11
  8. 8.If 9x + 20 = 47, what is x? (a) 27 (b) 4 (c) 3 (d) 2
  9. 9.If 9x − 1 = 44, what is x? (a) 6 (b) 5 (c) 4 (d) 45
  10. 10.If 6x + 11 = 4x + 19, what is x? (a) 15 (b) 5 (c) 4 (d) 6
  11. 11.If 4x − 23 = 37, what is x? (a) 60 (b) 16 (c) 15 (d) 14
  12. 12.If x/6 + 6 = 18, what is x? (a) 102 (b) 144 (c) 12 (d) 72
  13. 13.If 2x + 4 = 10, what is x? (a) 4 (b) 3 (c) 7 (d) 6
  14. 14.If 9x + 4 = 139, what is x? (a) 15 (b) 135 (c) 14 (d) 16
  15. 15.If 9x + 18 = 8x + 25, what is x? (a) 43 (b) 7 (c) 9 (d) 8
  16. 16.If x/6 + 5 = 8, what is x? (a) 78 (b) 18 (c) 3 (d) 43
  17. 17.If 3x − 4 = 23, what is x? (a) 27 (b) 10 (c) 9 (d) 8
  18. 18.If 9x + 4 = 8x + 12, what is x? (a) 10 (b) 8 (c) 16 (d) 9
  19. 19.If 9x + 11 = 8x + 12, what is x? (a) 1 (b) 2 (c) 3 (d) 23
  20. 20.If 2x + 22 = 48, what is x? (a) 14 (b) 35 (c) 13 (d) 26
  21. 21.If 8x + 20 = 7x + 26, what is x? (a) 8 (b) 7 (c) 6 (d) 46
  22. 22.If 3x + 16 = x + 26, what is x? (a) 5 (b) 6 (c) 21 (d) 7
  23. 23.If 9x + 11 = 4x + 71, what is x? (a) 14 (b) 11 (c) 12 (d) 13
  24. 24.If 3x + 1 = x + 15, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  25. 25.If 9x + 13 = 67, what is x? (a) 7 (b) 6 (c) 54 (d) 5
  26. 26.If 9x + 3 = 84, what is x? (a) 8 (b) 81 (c) 10 (d) 9
  27. 27.If 5x + 2 = x + 6, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  28. 28.If 6x + 25 = 37, what is x? (a) 2 (b) 1 (c) 12 (d) 3
  29. 29.If x/6 + 3 = 14, what is x? (a) 102 (b) 66 (c) 81 (d) 11
  30. 30.If x/2 + 4 = 11, what is x? (a) 30 (b) 14 (c) 18 (d) 7
  31. 31.If 5x + 12 = 37, what is x? (a) 25 (b) 6 (c) 4 (d) 5
  32. 32.If 7x + 10 = 73, what is x? (a) 8 (b) 10 (c) 9 (d) 63
  33. 33.If x/5 + 15 = 25, what is x? (a) 110 (b) 200 (c) 10 (d) 50
  34. 34.If 6x + 7 = 5x + 9, what is x? (a) 2 (b) 4 (c) 16 (d) 3
  35. 35.If x/3 + 9 = 14, what is x? (a) 33 (b) 15 (c) 69 (d) 5
  36. 36.If 6x + 16 = 40, what is x? (a) 24 (b) 3 (c) 4 (d) 5
  37. 37.If 4x + 27 = 87, what is x? (a) 14 (b) 16 (c) 60 (d) 15
  38. 38.If 6x − 11 = 49, what is x? (a) 60 (b) 10 (c) 11 (d) 9
  39. 39.If 3x − 12 = 3, what is x? (a) 4 (b) 15 (c) 5 (d) 6
  40. 40.If x/2 + 3 = 11, what is x? (a) 8 (b) 19 (c) 28 (d) 16

Answer key

  1. 3
  2. 15
  3. 27
  4. 15
  5. 13
  6. 11
  7. 9
  8. 3
  9. 5
  10. 4
  11. 15
  12. 72
  13. 3
  14. 15
  15. 7
  16. 18
  17. 9
  18. 8
  19. 1
  20. 13
  21. 6
  22. 5
  23. 12
  24. 7
  25. 6
  26. 9
  27. 1
  28. 2
  29. 66
  30. 14
  31. 5
  32. 9
  33. 50
  34. 2
  35. 15
  36. 4
  37. 15
  38. 10
  39. 5
  40. 16

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