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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 797 · 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 9x − 3 = 42, what is x? (a) 4 (b) 45 (c) 5 (d) 6
  2. 2.If 9x − 15 = 12, what is x? (a) 27 (b) 4 (c) 3 (d) 2
  3. 3.If 4x − 2 = 6, what is x? (a) 3 (b) 8 (c) 2 (d) 1
  4. 4.If 6x − 26 = 4, what is x? (a) 5 (b) 6 (c) 4 (d) 30
  5. 5.If x/6 + 4 = 9, what is x? (a) 5 (b) 50 (c) 30 (d) 78
  6. 6.If 3x − 9 = 21, what is x? (a) 10 (b) 4 (c) 11 (d) 30
  7. 7.If 4x + 14 = 2x + 18, what is x? (a) 2 (b) 3 (c) 4 (d) 16
  8. 8.If 9x − 96 = 30, what is x? (a) 126 (b) 15 (c) 14 (d) 13
  9. 9.If 7x + 18 = 2x + 63, what is x? (a) 11 (b) 10 (c) 5 (d) 9
  10. 10.If 3x + 9 = 24, what is x? (a) 11 (b) 15 (c) 6 (d) 5
  11. 11.If x/3 + 3 = 13, what is x? (a) 10 (b) 48 (c) 36 (d) 30
  12. 12.If 6x + 20 = 5x + 22, what is x? (a) 42 (b) 4 (c) 3 (d) 2
  13. 13.If x/2 + 9 = 17, what is x? (a) 8 (b) 25 (c) 52 (d) 16
  14. 14.If 8x + 24 = 64, what is x? (a) 5 (b) 6 (c) 40 (d) 11
  15. 15.If 8x + 28 = 68, what is x? (a) 12 (b) 40 (c) 6 (d) 5
  16. 16.If 3x + 13 = 40, what is x? (a) 27 (b) 9 (c) 8 (d) 10
  17. 17.If 3x + 20 = 2x + 27, what is x? (a) 7 (b) 8 (c) 9 (d) 47
  18. 18.If x/5 + 9 = 11, what is x? (a) 100 (b) 46 (c) 2 (d) 10
  19. 19.If 4x + 29 = 85, what is x? (a) 13 (b) 15 (c) 56 (d) 14
  20. 20.If x/3 + 7 = 19, what is x? (a) 36 (b) 12 (c) 78 (d) 50
  21. 21.If 5x − 53 = 7, what is x? (a) 13 (b) 11 (c) 60 (d) 12
  22. 22.If 7x + 18 = 67, what is x? (a) 7 (b) 49 (c) 6 (d) 8
  23. 23.If 2x + 9 = 19, what is x? (a) 6 (b) 14 (c) 10 (d) 5
  24. 24.If 9x + 14 = x + 110, what is x? (a) 13 (b) 11 (c) 12 (d) 14
  25. 25.If 7x + 3 = 73, what is x? (a) 9 (b) 10 (c) 70 (d) 11
  26. 26.If 6x − 2 = 10, what is x? (a) 3 (b) 2 (c) 12 (d) 1
  27. 27.If 4x + 19 = 27, what is x? (a) 8 (b) 3 (c) 2 (d) 1
  28. 28.If 9x + 11 = 29, what is x? (a) 3 (b) 1 (c) 2 (d) 18
  29. 29.If 4x + 25 = 81, what is x? (a) 13 (b) 15 (c) 56 (d) 14
  30. 30.If 4x − 1 = 31, what is x? (a) 9 (b) 7 (c) 32 (d) 8
  31. 31.If x/3 + 13 = 17, what is x? (a) 12 (b) 38 (c) 90 (d) 4
  32. 32.If 7x + 27 = 48, what is x? (a) 21 (b) 3 (c) 2 (d) 4
  33. 33.If 9x + 20 = 65, what is x? (a) 6 (b) 5 (c) 4 (d) 45
  34. 34.If 7x + 10 = x + 40, what is x? (a) 5 (b) 6 (c) 4 (d) 7
  35. 35.If 4x + 3 = 3x + 9, what is x? (a) 12 (b) 8 (c) 7 (d) 6
  36. 36.If x/3 + 6 = 14, what is x? (a) 8 (b) 60 (c) 36 (d) 24
  37. 37.If 4x + 8 = x + 38, what is x? (a) 11 (b) 12 (c) 6 (d) 10
  38. 38.If x/6 + 4 = 15, what is x? (a) 11 (b) 86 (c) 66 (d) 114
  39. 39.If 4x + 5 = 2x + 7, what is x? (a) 3 (b) 1 (c) 6 (d) 2
  40. 40.If 6x − 3 = 15, what is x? (a) 18 (b) 4 (c) 3 (d) 2

Answer key

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

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