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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 716 · 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 2x + 5 = 23, what is x? (a) 9 (b) 14 (c) 18 (d) 10
  2. 2.If 2x − 13 = 7, what is x? (a) 20 (b) 11 (c) 10 (d) 9
  3. 3.If 9x + 18 = 126, what is x? (a) 108 (b) 13 (c) 12 (d) 16
  4. 4.If 3x + 14 = 2x + 24, what is x? (a) 10 (b) 38 (c) 11 (d) 2
  5. 5.If x/6 + 5 = 14, what is x? (a) 9 (b) 54 (c) 114 (d) 79
  6. 6.If 2x + 1 = 13, what is x? (a) 5 (b) 12 (c) 7 (d) 6
  7. 7.If 7x − 26 = 30, what is x? (a) 8 (b) 56 (c) 7 (d) 9
  8. 8.If 2x − 17 = 1, what is x? (a) 10 (b) 9 (c) 18 (d) 8
  9. 9.If 5x − 17 = 8, what is x? (a) 25 (b) 4 (c) 6 (d) 5
  10. 10.If x/2 + 11 = 14, what is x? (a) 50 (b) 3 (c) 6 (d) 17
  11. 11.If 6x + 30 = 42, what is x? (a) 3 (b) 2 (c) 1 (d) 12
  12. 12.If 8x + 11 = 27, what is x? (a) 3 (b) 1 (c) 2 (d) 16
  13. 13.If x/4 + 4 = 7, what is x? (a) 44 (b) 12 (c) 24 (d) 3
  14. 14.If 4x + 2 = x + 14, what is x? (a) 3 (b) 5 (c) 6 (d) 4
  15. 15.If 2x + 25 = 55, what is x? (a) 15 (b) 30 (c) 16 (d) 40
  16. 16.If x/5 + 11 = 17, what is x? (a) 74 (b) 6 (c) 140 (d) 30
  17. 17.If 8x + 16 = 48, what is x? (a) 32 (b) 5 (c) 8 (d) 4
  18. 18.If x/5 + 14 = 25, what is x? (a) 11 (b) 195 (c) 55 (d) 111
  19. 19.If 8x + 28 = 92, what is x? (a) 9 (b) 64 (c) 8 (d) 15
  20. 20.If 5x − 36 = 9, what is x? (a) 45 (b) 9 (c) 10 (d) 8
  21. 21.If 6x + 12 = 72, what is x? (a) 10 (b) 11 (c) 14 (d) 60
  22. 22.If x/2 + 14 = 16, what is x? (a) 2 (b) 4 (c) 18 (d) 60
  23. 23.If 6x + 21 = 81, what is x? (a) 60 (b) 17 (c) 11 (d) 10
  24. 24.If x/4 + 13 = 17, what is x? (a) 55 (b) 120 (c) 4 (d) 16
  25. 25.If 5x + 23 = 33, what is x? (a) 10 (b) 3 (c) 2 (d) 1
  26. 26.If 5x − 1 = 9, what is x? (a) 2 (b) 1 (c) 10 (d) 3
  27. 27.If x/4 + 7 = 17, what is x? (a) 40 (b) 10 (c) 96 (d) 61
  28. 28.If 9x + 11 = 7x + 29, what is x? (a) 10 (b) 9 (c) 20 (d) 11
  29. 29.If x/3 + 11 = 16, what is x? (a) 81 (b) 5 (c) 37 (d) 15
  30. 30.If 6x + 24 = 90, what is x? (a) 19 (b) 66 (c) 11 (d) 12
  31. 31.If x/2 + 13 = 20, what is x? (a) 14 (b) 27 (c) 66 (d) 7
  32. 32.If x/3 + 12 = 21, what is x? (a) 9 (b) 51 (c) 99 (d) 27
  33. 33.If x/6 + 12 = 20, what is x? (a) 8 (b) 192 (c) 48 (d) 108
  34. 34.If x/5 + 2 = 4, what is x? (a) 30 (b) 10 (c) 18 (d) 2
  35. 35.If x/4 + 3 = 12, what is x? (a) 9 (b) 60 (c) 36 (d) 45
  36. 36.If x/3 + 1 = 9, what is x? (a) 26 (b) 24 (c) 8 (d) 30
  37. 37.If x/6 + 2 = 9, what is x? (a) 7 (b) 52 (c) 42 (d) 66
  38. 38.If x/2 + 12 = 21, what is x? (a) 18 (b) 30 (c) 66 (d) 9
  39. 39.If 8x − 38 = 34, what is x? (a) 10 (b) 72 (c) 8 (d) 9
  40. 40.If 3x − 3 = 6, what is x? (a) 3 (b) 4 (c) 1 (d) 9

Answer key

  1. 9
  2. 10
  3. 12
  4. 10
  5. 54
  6. 6
  7. 8
  8. 9
  9. 5
  10. 6
  11. 2
  12. 2
  13. 12
  14. 4
  15. 15
  16. 30
  17. 4
  18. 55
  19. 8
  20. 9
  21. 10
  22. 4
  23. 10
  24. 16
  25. 2
  26. 2
  27. 40
  28. 9
  29. 15
  30. 11
  31. 14
  32. 27
  33. 48
  34. 10
  35. 36
  36. 24
  37. 42
  38. 18
  39. 9
  40. 3

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