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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 325 · 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 − 4 = 38, what is x? (a) 7 (b) 6 (c) 42 (d) 8
  2. 2.If x/5 + 5 = 16, what is x? (a) 75 (b) 105 (c) 11 (d) 55
  3. 3.If x/6 + 14 = 21, what is x? (a) 210 (b) 42 (c) 7 (d) 112
  4. 4.If x/5 + 12 = 21, what is x? (a) 165 (b) 93 (c) 9 (d) 45
  5. 5.If 2x − 1 = 5, what is x? (a) 4 (b) 6 (c) 2 (d) 3
  6. 6.If 9x − 34 = 11, what is x? (a) 6 (b) 45 (c) 5 (d) 4
  7. 7.If 2x + 9 = 39, what is x? (a) 16 (b) 30 (c) 24 (d) 15
  8. 8.If 5x + 4 = 4x + 9, what is x? (a) 6 (b) 5 (c) 7 (d) 13
  9. 9.If x/6 + 5 = 9, what is x? (a) 84 (b) 24 (c) 49 (d) 4
  10. 10.If x/4 + 1 = 7, what is x? (a) 6 (b) 24 (c) 32 (d) 27
  11. 11.If x/5 + 4 = 9, what is x? (a) 5 (b) 65 (c) 41 (d) 25
  12. 12.If 3x + 3 = 27, what is x? (a) 8 (b) 9 (c) 24 (d) 10
  13. 13.If 4x + 18 = 78, what is x? (a) 24 (b) 15 (c) 16 (d) 60
  14. 14.If 4x + 10 = x + 19, what is x? (a) 5 (b) 4 (c) 2 (d) 3
  15. 15.If 4x + 5 = x + 29, what is x? (a) 8 (b) 10 (c) 7 (d) 9
  16. 16.If 8x + 5 = 109, what is x? (a) 13 (b) 104 (c) 14 (d) 12
  17. 17.If 9x + 20 = 6x + 41, what is x? (a) 6 (b) 9 (c) 8 (d) 7
  18. 18.If 9x + 12 = 7x + 28, what is x? (a) 9 (b) 8 (c) 20 (d) 1
  19. 19.If 5x + 26 = 71, what is x? (a) 45 (b) 10 (c) 8 (d) 9
  20. 20.If 5x + 21 = 36, what is x? (a) 3 (b) 15 (c) 4 (d) 2
  21. 21.If 3x − 22 = 23, what is x? (a) 15 (b) 45 (c) 16 (d) 14
  22. 22.If 6x − 12 = 18, what is x? (a) 5 (b) 1 (c) 6 (d) 30
  23. 23.If 6x + 9 = 87, what is x? (a) 16 (b) 78 (c) 13 (d) 14
  24. 24.If 9x − 99 = 9, what is x? (a) 11 (b) 13 (c) 12 (d) 108
  25. 25.If 4x + 23 = 71, what is x? (a) 11 (b) 48 (c) 12 (d) 13
  26. 26.If 8x + 13 = 5x + 40, what is x? (a) 11 (b) 9 (c) 10 (d) 8
  27. 27.If 3x + 2 = 2x + 3, what is x? (a) 5 (b) 1 (c) 3 (d) 2
  28. 28.If x/6 + 5 = 13, what is x? (a) 108 (b) 48 (c) 8 (d) 73
  29. 29.If 4x − 34 = 18, what is x? (a) 14 (b) 52 (c) 13 (d) 12
  30. 30.If 3x + 6 = 33, what is x? (a) 27 (b) 9 (c) 13 (d) 10
  31. 31.If 5x + 13 = 73, what is x? (a) 60 (b) 12 (c) 11 (d) 13
  32. 32.If 4x − 8 = 8, what is x? (a) 5 (b) 16 (c) 4 (d) 3
  33. 33.If 6x − 10 = 2, what is x? (a) 12 (b) 3 (c) 1 (d) 2
  34. 34.If 2x + 1 = 23, what is x? (a) 10 (b) 12 (c) 22 (d) 11
  35. 35.If 5x + 2 = 3x + 4, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  36. 36.If x/4 + 1 = 13, what is x? (a) 56 (b) 12 (c) 51 (d) 48
  37. 37.If 7x + 2 = 4x + 26, what is x? (a) 10 (b) 9 (c) 8 (d) 7
  38. 38.If x/2 + 1 = 5, what is x? (a) 8 (b) 9 (c) 12 (d) 4
  39. 39.If 9x + 7 = 61, what is x? (a) 6 (b) 7 (c) 5 (d) 54
  40. 40.If 3x + 3 = 12, what is x? (a) 4 (b) 5 (c) 9 (d) 3

Answer key

  1. 7
  2. 55
  3. 42
  4. 45
  5. 3
  6. 5
  7. 15
  8. 5
  9. 24
  10. 24
  11. 25
  12. 8
  13. 15
  14. 3
  15. 8
  16. 13
  17. 7
  18. 8
  19. 9
  20. 3
  21. 15
  22. 5
  23. 13
  24. 12
  25. 12
  26. 9
  27. 1
  28. 48
  29. 13
  30. 9
  31. 12
  32. 4
  33. 2
  34. 11
  35. 1
  36. 48
  37. 8
  38. 8
  39. 6
  40. 3

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