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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 569 · 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 5x − 13 = 12, what is x? (a) 25 (b) 5 (c) 6 (d) 4
  2. 2.If 9x + 18 = 54, what is x? (a) 36 (b) 4 (c) 5 (d) 8
  3. 3.If 6x + 13 = x + 23, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  4. 4.If x/4 + 10 = 14, what is x? (a) 4 (b) 16 (c) 96 (d) 46
  5. 5.If x/5 + 12 = 14, what is x? (a) 10 (b) 2 (c) 130 (d) 58
  6. 6.If x/3 + 4 = 8, what is x? (a) 4 (b) 36 (c) 12 (d) 20
  7. 7.If 6x + 18 = 4x + 28, what is x? (a) 5 (b) 1 (c) 6 (d) 23
  8. 8.If x/2 + 8 = 12, what is x? (a) 4 (b) 40 (c) 8 (d) 16
  9. 9.If 9x + 6 = 87, what is x? (a) 10 (b) 9 (c) 81 (d) 8
  10. 10.If 9x + 16 = 43, what is x? (a) 27 (b) 4 (c) 2 (d) 3
  11. 11.If 7x − 32 = 73, what is x? (a) 14 (b) 15 (c) 16 (d) 105
  12. 12.If 3x − 8 = 1, what is x? (a) 4 (b) 2 (c) 3 (d) 9
  13. 13.If 3x + 6 = 15, what is x? (a) 7 (b) 4 (c) 3 (d) 9
  14. 14.If x/6 + 6 = 18, what is x? (a) 72 (b) 144 (c) 12 (d) 102
  15. 15.If 8x − 27 = 53, what is x? (a) 10 (b) 11 (c) 9 (d) 80
  16. 16.If 8x + 6 = 30, what is x? (a) 4 (b) 2 (c) 24 (d) 3
  17. 17.If 2x − 5 = 25, what is x? (a) 30 (b) 16 (c) 15 (d) 10
  18. 18.If 5x + 30 = 65, what is x? (a) 35 (b) 19 (c) 7 (d) 8
  19. 19.If 8x + 11 = 115, what is x? (a) 104 (b) 13 (c) 12 (d) 14
  20. 20.If x/3 + 10 = 20, what is x? (a) 50 (b) 90 (c) 30 (d) 10
  21. 21.If x/6 + 3 = 7, what is x? (a) 4 (b) 60 (c) 24 (d) 39
  22. 22.If 8x − 2 = 78, what is x? (a) 9 (b) 11 (c) 10 (d) 80
  23. 23.If 3x − 31 = 14, what is x? (a) 14 (b) 15 (c) 45 (d) 16
  24. 24.If 3x − 23 = 1, what is x? (a) 24 (b) 7 (c) 9 (d) 8
  25. 25.If 9x + 6 = 3x + 60, what is x? (a) 8 (b) 9 (c) 11 (d) 10
  26. 26.If 4x + 1 = 17, what is x? (a) 16 (b) 5 (c) 3 (d) 4
  27. 27.If 3x + 2 = 2x + 14, what is x? (a) 14 (b) 13 (c) 16 (d) 12
  28. 28.If 8x + 13 = 61, what is x? (a) 48 (b) 5 (c) 6 (d) 7
  29. 29.If 6x − 72 = 12, what is x? (a) 13 (b) 84 (c) 15 (d) 14
  30. 30.If 3x + 14 = 23, what is x? (a) 9 (b) 3 (c) 4 (d) 2
  31. 31.If 5x − 31 = 39, what is x? (a) 70 (b) 14 (c) 15 (d) 13
  32. 32.If 3x − 8 = 16, what is x? (a) 24 (b) 9 (c) 7 (d) 8
  33. 33.If 5x + 12 = x + 52, what is x? (a) 16 (b) 12 (c) 11 (d) 10
  34. 34.If x/2 + 7 = 9, what is x? (a) 11 (b) 4 (c) 32 (d) 2
  35. 35.If 6x + 1 = 2x + 29, what is x? (a) 8 (b) 9 (c) 7 (d) 6
  36. 36.If x/5 + 5 = 9, what is x? (a) 70 (b) 40 (c) 4 (d) 20
  37. 37.If x/4 + 5 = 13, what is x? (a) 8 (b) 47 (c) 32 (d) 72
  38. 38.If 4x + 11 = 59, what is x? (a) 48 (b) 11 (c) 12 (d) 13
  39. 39.If x/6 + 9 = 19, what is x? (a) 10 (b) 105 (c) 168 (d) 60
  40. 40.If 6x + 16 = 2x + 44, what is x? (a) 7 (b) 15 (c) 8 (d) 9

Answer key

  1. 5
  2. 4
  3. 2
  4. 16
  5. 10
  6. 12
  7. 5
  8. 8
  9. 9
  10. 3
  11. 15
  12. 3
  13. 3
  14. 72
  15. 10
  16. 3
  17. 15
  18. 7
  19. 13
  20. 30
  21. 24
  22. 10
  23. 15
  24. 8
  25. 9
  26. 4
  27. 12
  28. 6
  29. 14
  30. 3
  31. 14
  32. 8
  33. 10
  34. 4
  35. 7
  36. 20
  37. 32
  38. 12
  39. 60
  40. 7

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