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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 236 · 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 + 2 = 6, what is x? (a) 24 (b) 16 (c) 12 (d) 4
  2. 2.If x/4 + 15 = 18, what is x? (a) 57 (b) 12 (c) 132 (d) 3
  3. 3.If 2x − 27 = 1, what is x? (a) 14 (b) 13 (c) 15 (d) 28
  4. 4.If 8x + 10 = x + 87, what is x? (a) 11 (b) 12 (c) 13 (d) 10
  5. 5.If 9x − 19 = 8, what is x? (a) 2 (b) 27 (c) 4 (d) 3
  6. 6.If x/2 + 14 = 25, what is x? (a) 36 (b) 11 (c) 22 (d) 78
  7. 7.If x/3 + 5 = 15, what is x? (a) 30 (b) 10 (c) 60 (d) 40
  8. 8.If x/2 + 13 = 22, what is x? (a) 18 (b) 31 (c) 9 (d) 70
  9. 9.If 9x − 1 = 17, what is x? (a) 3 (b) 1 (c) 18 (d) 2
  10. 10.If x/6 + 5 = 7, what is x? (a) 2 (b) 72 (c) 37 (d) 12
  11. 11.If 3x + 27 = 57, what is x? (a) 28 (b) 11 (c) 10 (d) 30
  12. 12.If 3x + 9 = x + 25, what is x? (a) 17 (b) 8 (c) 4 (d) 9
  13. 13.If 7x − 74 = 31, what is x? (a) 16 (b) 105 (c) 15 (d) 14
  14. 14.If 2x − 10 = 8, what is x? (a) 10 (b) 18 (c) 9 (d) 8
  15. 15.If x/2 + 6 = 9, what is x? (a) 30 (b) 12 (c) 6 (d) 3
  16. 16.If 7x + 10 = 5x + 30, what is x? (a) 12 (b) 10 (c) 20 (d) 11
  17. 17.If 9x + 30 = 165, what is x? (a) 135 (b) 16 (c) 15 (d) 14
  18. 18.If 7x + 4 = 32, what is x? (a) 3 (b) 5 (c) 4 (d) 28
  19. 19.If x/2 + 2 = 5, what is x? (a) 3 (b) 6 (c) 8 (d) 14
  20. 20.If 3x + 9 = 24, what is x? (a) 15 (b) 5 (c) 6 (d) 11
  21. 21.If 3x − 6 = 9, what is x? (a) 1 (b) 6 (c) 5 (d) 15
  22. 22.If 6x + 7 = x + 37, what is x? (a) 7 (b) 8 (c) 6 (d) 5
  23. 23.If 4x + 9 = 21, what is x? (a) 2 (b) 3 (c) 4 (d) 12
  24. 24.If x/3 + 6 = 9, what is x? (a) 3 (b) 9 (c) 45 (d) 21
  25. 25.If 6x − 24 = 36, what is x? (a) 60 (b) 10 (c) 11 (d) 2
  26. 26.If 3x − 13 = 5, what is x? (a) 18 (b) 6 (c) 7 (d) 5
  27. 27.If x/3 + 5 = 16, what is x? (a) 43 (b) 63 (c) 33 (d) 11
  28. 28.If x/4 + 15 = 17, what is x? (a) 128 (b) 53 (c) 8 (d) 2
  29. 29.If x/2 + 11 = 20, what is x? (a) 9 (b) 29 (c) 62 (d) 18
  30. 30.If 3x + 2 = 47, what is x? (a) 16 (b) 45 (c) 15 (d) 14
  31. 31.If 9x + 12 = 129, what is x? (a) 13 (b) 117 (c) 12 (d) 14
  32. 32.If x/2 + 13 = 23, what is x? (a) 20 (b) 33 (c) 10 (d) 72
  33. 33.If 2x + 21 = 29, what is x? (a) 5 (b) 25 (c) 4 (d) 8
  34. 34.If x/5 + 4 = 10, what is x? (a) 6 (b) 70 (c) 30 (d) 46
  35. 35.If 3x + 23 = 53, what is x? (a) 11 (b) 9 (c) 30 (d) 10
  36. 36.If 9x + 17 = 125, what is x? (a) 11 (b) 13 (c) 12 (d) 108
  37. 37.If 4x + 12 = 2x + 14, what is x? (a) 3 (b) 13 (c) 1 (d) 2
  38. 38.If 8x − 79 = 9, what is x? (a) 12 (b) 10 (c) 88 (d) 11
  39. 39.If 8x + 9 = 3x + 19, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  40. 40.If 4x + 13 = 37, what is x? (a) 6 (b) 24 (c) 5 (d) 7

Answer key

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

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