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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 261 · 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 6x + 18 = 96, what is x? (a) 14 (b) 13 (c) 19 (d) 78
  2. 2.If 9x + 24 = 69, what is x? (a) 6 (b) 4 (c) 45 (d) 5
  3. 3.If x/3 + 14 = 26, what is x? (a) 12 (b) 120 (c) 64 (d) 36
  4. 4.If 4x + 25 = 41, what is x? (a) 16 (b) 5 (c) 3 (d) 4
  5. 5.If 2x − 1 = 5, what is x? (a) 4 (b) 6 (c) 2 (d) 3
  6. 6.If x/6 + 7 = 16, what is x? (a) 9 (b) 54 (c) 138 (d) 89
  7. 7.If 2x + 20 = 34, what is x? (a) 14 (b) 27 (c) 8 (d) 7
  8. 8.If 4x + 9 = 61, what is x? (a) 14 (b) 13 (c) 52 (d) 12
  9. 9.If 9x + 26 = 53, what is x? (a) 27 (b) 4 (c) 3 (d) 2
  10. 10.If 8x − 104 = 8, what is x? (a) 15 (b) 112 (c) 14 (d) 13
  11. 11.If x/2 + 4 = 11, what is x? (a) 14 (b) 30 (c) 7 (d) 18
  12. 12.If 2x + 26 = 36, what is x? (a) 31 (b) 10 (c) 6 (d) 5
  13. 13.If 7x − 53 = 31, what is x? (a) 13 (b) 11 (c) 12 (d) 84
  14. 14.If 4x + 13 = 2x + 35, what is x? (a) 12 (b) 11 (c) 24 (d) 13
  15. 15.If x/6 + 1 = 11, what is x? (a) 65 (b) 60 (c) 72 (d) 10
  16. 16.If 8x + 14 = 2x + 68, what is x? (a) 11 (b) 9 (c) 8 (d) 10
  17. 17.If 9x − 24 = 75, what is x? (a) 99 (b) 12 (c) 11 (d) 10
  18. 18.If 7x + 2 = 107, what is x? (a) 14 (b) 105 (c) 15 (d) 16
  19. 19.If x/3 + 11 = 13, what is x? (a) 28 (b) 2 (c) 72 (d) 6
  20. 20.If 7x − 9 = 12, what is x? (a) 4 (b) 3 (c) 21 (d) 2
  21. 21.If 2x + 27 = 39, what is x? (a) 33 (b) 12 (c) 7 (d) 6
  22. 22.If 4x + 11 = 35, what is x? (a) 24 (b) 5 (c) 6 (d) 7
  23. 23.If x/3 + 1 = 8, what is x? (a) 23 (b) 7 (c) 27 (d) 21
  24. 24.If 3x + 17 = 29, what is x? (a) 5 (b) 12 (c) 4 (d) 3
  25. 25.If 9x + 3 = 102, what is x? (a) 99 (b) 10 (c) 12 (d) 11
  26. 26.If 7x + 8 = 92, what is x? (a) 13 (b) 84 (c) 11 (d) 12
  27. 27.If 4x + 5 = 41, what is x? (a) 8 (b) 10 (c) 9 (d) 36
  28. 28.If 5x + 20 = 65, what is x? (a) 9 (b) 45 (c) 10 (d) 17
  29. 29.If 3x + 14 = x + 28, what is x? (a) 21 (b) 9 (c) 8 (d) 7
  30. 30.If 7x + 20 = 76, what is x? (a) 9 (b) 56 (c) 8 (d) 7
  31. 31.If 9x + 26 = 134, what is x? (a) 11 (b) 13 (c) 12 (d) 108
  32. 32.If 4x + 6 = 2x + 20, what is x? (a) 13 (b) 8 (c) 9 (d) 7
  33. 33.If 5x − 4 = 71, what is x? (a) 15 (b) 14 (c) 75 (d) 16
  34. 34.If 5x − 1 = 9, what is x? (a) 2 (b) 10 (c) 3 (d) 1
  35. 35.If 2x + 23 = 39, what is x? (a) 31 (b) 9 (c) 8 (d) 16
  36. 36.If 3x − 31 = 14, what is x? (a) 14 (b) 45 (c) 16 (d) 15
  37. 37.If 3x + 10 = 28, what is x? (a) 18 (b) 7 (c) 5 (d) 6
  38. 38.If 4x + 2 = 2x + 8, what is x? (a) 3 (b) 4 (c) 1 (d) 5
  39. 39.If 5x − 21 = 54, what is x? (a) 75 (b) 16 (c) 15 (d) 14
  40. 40.If 5x − 13 = 42, what is x? (a) 12 (b) 10 (c) 11 (d) 55

Answer key

  1. 13
  2. 5
  3. 36
  4. 4
  5. 3
  6. 54
  7. 7
  8. 13
  9. 3
  10. 14
  11. 14
  12. 5
  13. 12
  14. 11
  15. 60
  16. 9
  17. 11
  18. 15
  19. 6
  20. 3
  21. 6
  22. 6
  23. 21
  24. 4
  25. 11
  26. 12
  27. 9
  28. 9
  29. 7
  30. 8
  31. 12
  32. 7
  33. 15
  34. 2
  35. 8
  36. 15
  37. 6
  38. 3
  39. 15
  40. 11

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