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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 113 · 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 4x + 6 = x + 21, what is x? (a) 9 (b) 5 (c) 3 (d) 6
  2. 2.If x/4 + 1 = 12, what is x? (a) 47 (b) 52 (c) 44 (d) 11
  3. 3.If 7x + 23 = 79, what is x? (a) 9 (b) 56 (c) 7 (d) 8
  4. 4.If 6x + 3 = 87, what is x? (a) 84 (b) 15 (c) 13 (d) 14
  5. 5.If 3x + 5 = 2x + 9, what is x? (a) 6 (b) 5 (c) 14 (d) 4
  6. 6.If 5x − 4 = 71, what is x? (a) 75 (b) 14 (c) 15 (d) 16
  7. 7.If 5x + 16 = 2x + 46, what is x? (a) 9 (b) 11 (c) 12 (d) 10
  8. 8.If 9x + 6 = 4x + 16, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  9. 9.If 7x − 31 = 67, what is x? (a) 15 (b) 13 (c) 98 (d) 14
  10. 10.If 5x − 38 = 2, what is x? (a) 9 (b) 40 (c) 7 (d) 8
  11. 11.If 9x − 53 = 1, what is x? (a) 7 (b) 54 (c) 5 (d) 6
  12. 12.If 9x + 5 = 4x + 40, what is x? (a) 6 (b) 9 (c) 7 (d) 8
  13. 13.If x/2 + 12 = 19, what is x? (a) 26 (b) 7 (c) 62 (d) 14
  14. 14.If 3x + 18 = x + 22, what is x? (a) 20 (b) 1 (c) 3 (d) 2
  15. 15.If x/3 + 4 = 14, what is x? (a) 10 (b) 54 (c) 30 (d) 38
  16. 16.If 3x + 7 = x + 17, what is x? (a) 12 (b) 6 (c) 5 (d) 7
  17. 17.If x/2 + 11 = 17, what is x? (a) 12 (b) 6 (c) 56 (d) 23
  18. 18.If x/3 + 1 = 7, what is x? (a) 20 (b) 18 (c) 6 (d) 24
  19. 19.If 5x + 16 = 81, what is x? (a) 14 (b) 12 (c) 65 (d) 13
  20. 20.If x/3 + 15 = 20, what is x? (a) 105 (b) 45 (c) 15 (d) 5
  21. 21.If 9x − 7 = 47, what is x? (a) 7 (b) 54 (c) 5 (d) 6
  22. 22.If 6x + 19 = 2x + 55, what is x? (a) 10 (b) 8 (c) 11 (d) 9
  23. 23.If 5x + 3 = 38, what is x? (a) 35 (b) 8 (c) 6 (d) 7
  24. 24.If 6x + 20 = 3x + 26, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  25. 25.If 3x + 7 = 16, what is x? (a) 2 (b) 9 (c) 4 (d) 3
  26. 26.If x/4 + 11 = 13, what is x? (a) 96 (b) 2 (c) 41 (d) 8
  27. 27.If 2x + 16 = 38, what is x? (a) 11 (b) 27 (c) 12 (d) 22
  28. 28.If x/6 + 5 = 13, what is x? (a) 73 (b) 108 (c) 48 (d) 8
  29. 29.If 2x + 15 = 23, what is x? (a) 8 (b) 5 (c) 4 (d) 19
  30. 30.If 3x − 6 = 3, what is x? (a) 3 (b) 2 (c) 9 (d) 4
  31. 31.If x/5 + 11 = 21, what is x? (a) 50 (b) 94 (c) 160 (d) 10
  32. 32.If x/2 + 5 = 10, what is x? (a) 10 (b) 15 (c) 30 (d) 5
  33. 33.If 4x + 27 = 51, what is x? (a) 24 (b) 5 (c) 6 (d) 7
  34. 34.If 5x + 20 = 55, what is x? (a) 35 (b) 15 (c) 8 (d) 7
  35. 35.If 9x − 52 = 83, what is x? (a) 15 (b) 14 (c) 135 (d) 16
  36. 36.If 6x + 18 = 3x + 51, what is x? (a) 11 (b) 12 (c) 23 (d) 13
  37. 37.If x/4 + 3 = 5, what is x? (a) 17 (b) 32 (c) 8 (d) 2
  38. 38.If 2x + 27 = 41, what is x? (a) 7 (b) 8 (c) 34 (d) 14
  39. 39.If 9x + 13 = 67, what is x? (a) 6 (b) 7 (c) 5 (d) 54
  40. 40.If x/6 + 6 = 12, what is x? (a) 108 (b) 6 (c) 66 (d) 36

Answer key

  1. 5
  2. 44
  3. 8
  4. 14
  5. 4
  6. 15
  7. 10
  8. 2
  9. 14
  10. 8
  11. 6
  12. 7
  13. 14
  14. 2
  15. 30
  16. 5
  17. 12
  18. 18
  19. 13
  20. 15
  21. 6
  22. 9
  23. 7
  24. 2
  25. 3
  26. 8
  27. 11
  28. 48
  29. 4
  30. 3
  31. 50
  32. 10
  33. 6
  34. 7
  35. 15
  36. 11
  37. 8
  38. 7
  39. 6
  40. 36

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