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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 48 · 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 3x + 24 = 36, what is x? (a) 5 (b) 20 (c) 12 (d) 4
  2. 2.If x/6 + 1 = 12, what is x? (a) 71 (b) 66 (c) 78 (d) 11
  3. 3.If x/2 + 14 = 17, what is x? (a) 3 (b) 20 (c) 6 (d) 62
  4. 4.If x/6 + 5 = 17, what is x? (a) 132 (b) 72 (c) 12 (d) 97
  5. 5.If x/6 + 7 = 16, what is x? (a) 138 (b) 89 (c) 54 (d) 9
  6. 6.If 8x + 21 = 133, what is x? (a) 112 (b) 13 (c) 14 (d) 15
  7. 7.If x/2 + 7 = 16, what is x? (a) 25 (b) 46 (c) 18 (d) 9
  8. 8.If 8x + 7 = 2x + 19, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  9. 9.If 6x − 81 = 3, what is x? (a) 84 (b) 14 (c) 13 (d) 15
  10. 10.If 3x + 6 = 42, what is x? (a) 13 (b) 12 (c) 16 (d) 36
  11. 11.If 8x + 18 = 58, what is x? (a) 4 (b) 6 (c) 5 (d) 40
  12. 12.If x/5 + 2 = 14, what is x? (a) 68 (b) 60 (c) 80 (d) 12
  13. 13.If 5x + 6 = 4x + 14, what is x? (a) 10 (b) 9 (c) 20 (d) 8
  14. 14.If 5x + 4 = 2x + 31, what is x? (a) 8 (b) 9 (c) 11 (d) 10
  15. 15.If 5x + 11 = 76, what is x? (a) 12 (b) 14 (c) 65 (d) 13
  16. 16.If 6x + 5 = 53, what is x? (a) 48 (b) 8 (c) 7 (d) 9
  17. 17.If x/6 + 12 = 21, what is x? (a) 9 (b) 198 (c) 114 (d) 54
  18. 18.If 6x − 13 = 41, what is x? (a) 10 (b) 8 (c) 54 (d) 9
  19. 19.If 5x + 6 = 3x + 12, what is x? (a) 9 (b) 3 (c) 4 (d) 5
  20. 20.If x/5 + 2 = 7, what is x? (a) 5 (b) 45 (c) 25 (d) 33
  21. 21.If 5x + 16 = 31, what is x? (a) 3 (b) 15 (c) 2 (d) 4
  22. 22.If 9x + 1 = 37, what is x? (a) 36 (b) 5 (c) 3 (d) 4
  23. 23.If 9x − 36 = 18, what is x? (a) 7 (b) 54 (c) 6 (d) 5
  24. 24.If 2x − 8 = 2, what is x? (a) 6 (b) 10 (c) 5 (d) 4
  25. 25.If 8x + 3 = 6x + 17, what is x? (a) 7 (b) 10 (c) 1 (d) 8
  26. 26.If x/2 + 12 = 21, what is x? (a) 18 (b) 30 (c) 66 (d) 9
  27. 27.If 6x − 82 = 8, what is x? (a) 14 (b) 15 (c) 90 (d) 16
  28. 28.If 5x + 16 = 4x + 22, what is x? (a) 38 (b) 7 (c) 8 (d) 6
  29. 29.If 3x + 3 = 30, what is x? (a) 9 (b) 10 (c) 27 (d) 11
  30. 30.If 5x − 26 = 29, what is x? (a) 11 (b) 12 (c) 10 (d) 55
  31. 31.If 3x + 1 = 2x + 13, what is x? (a) 14 (b) 12 (c) 11 (d) 13
  32. 32.If 3x + 26 = 47, what is x? (a) 6 (b) 8 (c) 21 (d) 7
  33. 33.If x/3 + 11 = 16, what is x? (a) 81 (b) 15 (c) 37 (d) 5
  34. 34.If 3x + 13 = 22, what is x? (a) 4 (b) 9 (c) 3 (d) 2
  35. 35.If 5x + 13 = 4x + 24, what is x? (a) 37 (b) 13 (c) 12 (d) 11
  36. 36.If 6x + 20 = 2x + 60, what is x? (a) 5 (b) 10 (c) 11 (d) 20
  37. 37.If 3x + 7 = 52, what is x? (a) 16 (b) 45 (c) 15 (d) 14
  38. 38.If 7x − 16 = 75, what is x? (a) 13 (b) 14 (c) 91 (d) 12
  39. 39.If 8x − 2 = 14, what is x? (a) 16 (b) 3 (c) 2 (d) 1
  40. 40.If 8x + 1 = 7x + 2, what is x? (a) 3 (b) 4 (c) 1 (d) 2

Answer key

  1. 4
  2. 66
  3. 6
  4. 72
  5. 54
  6. 14
  7. 18
  8. 2
  9. 14
  10. 12
  11. 5
  12. 60
  13. 8
  14. 9
  15. 13
  16. 8
  17. 54
  18. 9
  19. 3
  20. 25
  21. 3
  22. 4
  23. 6
  24. 5
  25. 7
  26. 18
  27. 15
  28. 6
  29. 9
  30. 11
  31. 12
  32. 7
  33. 15
  34. 3
  35. 11
  36. 10
  37. 15
  38. 13
  39. 2
  40. 1

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