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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 262 · 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 9x − 31 = 104, what is x? (a) 14 (b) 16 (c) 15 (d) 135
  2. 2.If 6x + 24 = 66, what is x? (a) 42 (b) 8 (c) 15 (d) 7
  3. 3.If x/4 + 5 = 16, what is x? (a) 59 (b) 11 (c) 44 (d) 84
  4. 4.If 5x + 3 = 73, what is x? (a) 14 (b) 13 (c) 15 (d) 70
  5. 5.If 6x − 31 = 5, what is x? (a) 6 (b) 5 (c) 7 (d) 36
  6. 6.If 3x + 4 = 10, what is x? (a) 2 (b) 3 (c) 1 (d) 6
  7. 7.If 6x + 28 = 58, what is x? (a) 5 (b) 6 (c) 30 (d) 4
  8. 8.If 6x + 2 = 62, what is x? (a) 11 (b) 60 (c) 9 (d) 10
  9. 9.If 4x + 3 = x + 6, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  10. 10.If 6x − 4 = 26, what is x? (a) 30 (b) 5 (c) 4 (d) 6
  11. 11.If 6x + 7 = x + 12, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  12. 12.If 6x + 1 = 3x + 7, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  13. 13.If 5x − 44 = 16, what is x? (a) 12 (b) 11 (c) 60 (d) 13
  14. 14.If 6x + 14 = 5x + 24, what is x? (a) 12 (b) 11 (c) 38 (d) 10
  15. 15.If 3x + 13 = x + 27, what is x? (a) 20 (b) 7 (c) 8 (d) 9
  16. 16.If 9x + 6 = 7x + 12, what is x? (a) 9 (b) 5 (c) 3 (d) 4
  17. 17.If 2x + 26 = 52, what is x? (a) 13 (b) 14 (c) 39 (d) 26
  18. 18.If x/3 + 6 = 10, what is x? (a) 4 (b) 24 (c) 12 (d) 48
  19. 19.If 6x − 41 = 43, what is x? (a) 15 (b) 13 (c) 14 (d) 84
  20. 20.If 3x + 16 = 37, what is x? (a) 21 (b) 8 (c) 7 (d) 6
  21. 21.If 5x + 11 = x + 31, what is x? (a) 4 (b) 6 (c) 7 (d) 5
  22. 22.If 6x − 9 = 27, what is x? (a) 3 (b) 7 (c) 36 (d) 6
  23. 23.If x/6 + 13 = 20, what is x? (a) 42 (b) 198 (c) 7 (d) 107
  24. 24.If 9x + 15 = 2x + 50, what is x? (a) 6 (b) 5 (c) 7 (d) 4
  25. 25.If x/6 + 2 = 4, what is x? (a) 36 (b) 22 (c) 12 (d) 2
  26. 26.If 7x + 13 = 6x + 25, what is x? (a) 12 (b) 14 (c) 38 (d) 13
  27. 27.If 3x + 30 = 48, what is x? (a) 6 (b) 7 (c) 18 (d) 26
  28. 28.If 2x − 4 = 4, what is x? (a) 5 (b) 3 (c) 4 (d) 8
  29. 29.If x/6 + 2 = 7, what is x? (a) 5 (b) 54 (c) 30 (d) 40
  30. 30.If 7x − 48 = 36, what is x? (a) 12 (b) 11 (c) 13 (d) 84
  31. 31.If 4x + 11 = x + 32, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  32. 32.If 8x + 5 = 3x + 60, what is x? (a) 13 (b) 5 (c) 12 (d) 11
  33. 33.If 3x + 17 = x + 37, what is x? (a) 10 (b) 5 (c) 27 (d) 11
  34. 34.If 2x + 21 = 29, what is x? (a) 8 (b) 5 (c) 4 (d) 25
  35. 35.If 4x + 15 = 35, what is x? (a) 20 (b) 4 (c) 5 (d) 6
  36. 36.If x/5 + 9 = 21, what is x? (a) 60 (b) 96 (c) 150 (d) 12
  37. 37.If 3x + 12 = x + 28, what is x? (a) 8 (b) 20 (c) 9 (d) 4
  38. 38.If 3x + 20 = 35, what is x? (a) 6 (b) 5 (c) 15 (d) 4
  39. 39.If 2x − 9 = 1, what is x? (a) 4 (b) 6 (c) 10 (d) 5
  40. 40.If 9x − 24 = 12, what is x? (a) 5 (b) 36 (c) 3 (d) 4

Answer key

  1. 15
  2. 7
  3. 44
  4. 14
  5. 6
  6. 2
  7. 5
  8. 10
  9. 1
  10. 5
  11. 1
  12. 2
  13. 12
  14. 10
  15. 7
  16. 3
  17. 13
  18. 12
  19. 14
  20. 7
  21. 5
  22. 6
  23. 42
  24. 5
  25. 12
  26. 12
  27. 6
  28. 4
  29. 30
  30. 12
  31. 7
  32. 11
  33. 10
  34. 4
  35. 5
  36. 60
  37. 8
  38. 5
  39. 5
  40. 4

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