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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 153 · 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 − 15 = 9, what is x? (a) 7 (b) 9 (c) 24 (d) 8
  2. 2.If x/4 + 6 = 16, what is x? (a) 58 (b) 40 (c) 88 (d) 10
  3. 3.If 7x − 48 = 29, what is x? (a) 10 (b) 77 (c) 12 (d) 11
  4. 4.If 8x + 5 = 93, what is x? (a) 12 (b) 11 (c) 88 (d) 10
  5. 5.If 5x + 13 = 4x + 24, what is x? (a) 12 (b) 37 (c) 13 (d) 11
  6. 6.If x/6 + 3 = 8, what is x? (a) 5 (b) 45 (c) 66 (d) 30
  7. 7.If 9x + 8 = 26, what is x? (a) 3 (b) 1 (c) 18 (d) 2
  8. 8.If 7x − 29 = 6, what is x? (a) 6 (b) 5 (c) 4 (d) 35
  9. 9.If x/6 + 9 = 18, what is x? (a) 162 (b) 99 (c) 54 (d) 9
  10. 10.If 2x + 14 = 22, what is x? (a) 18 (b) 5 (c) 4 (d) 8
  11. 11.If 8x + 4 = 5x + 19, what is x? (a) 5 (b) 7 (c) 4 (d) 6
  12. 12.If 2x − 2 = 4, what is x? (a) 3 (b) 1 (c) 6 (d) 4
  13. 13.If 3x + 12 = 2x + 15, what is x? (a) 3 (b) 5 (c) 4 (d) 27
  14. 14.If x/3 + 1 = 8, what is x? (a) 27 (b) 21 (c) 23 (d) 7
  15. 15.If 8x + 6 = 70, what is x? (a) 9 (b) 64 (c) 8 (d) 7
  16. 16.If 9x − 87 = 12, what is x? (a) 12 (b) 10 (c) 11 (d) 99
  17. 17.If 6x + 3 = 4x + 5, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  18. 18.If 9x + 11 = 101, what is x? (a) 11 (b) 90 (c) 9 (d) 10
  19. 19.If x/4 + 3 = 14, what is x? (a) 11 (b) 44 (c) 68 (d) 53
  20. 20.If x/4 + 4 = 11, what is x? (a) 28 (b) 40 (c) 60 (d) 7
  21. 21.If 4x + 9 = 53, what is x? (a) 12 (b) 44 (c) 10 (d) 11
  22. 22.If x/2 + 1 = 9, what is x? (a) 8 (b) 20 (c) 16 (d) 17
  23. 23.If x/6 + 15 = 21, what is x? (a) 216 (b) 36 (c) 6 (d) 111
  24. 24.If 7x − 40 = 2, what is x? (a) 7 (b) 6 (c) 5 (d) 42
  25. 25.If 9x + 19 = 5x + 67, what is x? (a) 11 (b) 13 (c) 14 (d) 12
  26. 26.If 6x + 18 = 36, what is x? (a) 3 (b) 4 (c) 9 (d) 18
  27. 27.If x/6 + 1 = 7, what is x? (a) 6 (b) 48 (c) 36 (d) 41
  28. 28.If 5x + 1 = 4x + 8, what is x? (a) 9 (b) 8 (c) 7 (d) 6
  29. 29.If x/5 + 12 = 19, what is x? (a) 35 (b) 155 (c) 7 (d) 83
  30. 30.If 7x − 44 = 47, what is x? (a) 91 (b) 14 (c) 12 (d) 13
  31. 31.If 5x + 24 = 89, what is x? (a) 12 (b) 13 (c) 65 (d) 14
  32. 32.If 7x + 18 = 123, what is x? (a) 105 (b) 14 (c) 15 (d) 16
  33. 33.If 7x − 13 = 92, what is x? (a) 105 (b) 16 (c) 14 (d) 15
  34. 34.If 2x + 5 = 21, what is x? (a) 16 (b) 9 (c) 13 (d) 8
  35. 35.If x/3 + 10 = 12, what is x? (a) 66 (b) 6 (c) 2 (d) 26
  36. 36.If x/6 + 9 = 15, what is x? (a) 6 (b) 81 (c) 144 (d) 36
  37. 37.If x/3 + 9 = 21, what is x? (a) 90 (b) 12 (c) 54 (d) 36
  38. 38.If 8x + 16 = x + 51, what is x? (a) 6 (b) 5 (c) 7 (d) 4
  39. 39.If 8x − 10 = 46, what is x? (a) 8 (b) 6 (c) 56 (d) 7
  40. 40.If 3x + 26 = 53, what is x? (a) 27 (b) 8 (c) 10 (d) 9

Answer key

  1. 8
  2. 40
  3. 11
  4. 11
  5. 11
  6. 30
  7. 2
  8. 5
  9. 54
  10. 4
  11. 5
  12. 3
  13. 3
  14. 21
  15. 8
  16. 11
  17. 1
  18. 10
  19. 44
  20. 28
  21. 11
  22. 16
  23. 36
  24. 6
  25. 12
  26. 3
  27. 36
  28. 7
  29. 35
  30. 13
  31. 13
  32. 15
  33. 15
  34. 8
  35. 6
  36. 36
  37. 36
  38. 5
  39. 7
  40. 9

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