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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 411 · 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 + 10 = 22, what is x? (a) 3 (b) 5 (c) 12 (d) 4
  2. 2.If 6x + 2 = 3x + 5, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  3. 3.If 5x + 25 = 65, what is x? (a) 9 (b) 8 (c) 40 (d) 18
  4. 4.If 2x + 25 = 45, what is x? (a) 20 (b) 35 (c) 11 (d) 10
  5. 5.If 6x + 1 = 31, what is x? (a) 4 (b) 5 (c) 6 (d) 30
  6. 6.If 5x + 15 = 3x + 23, what is x? (a) 1 (b) 19 (c) 4 (d) 5
  7. 7.If x/3 + 12 = 19, what is x? (a) 7 (b) 45 (c) 93 (d) 21
  8. 8.If 2x + 26 = 50, what is x? (a) 12 (b) 38 (c) 13 (d) 24
  9. 9.If 5x + 7 = 3x + 27, what is x? (a) 12 (b) 17 (c) 11 (d) 10
  10. 10.If 3x − 4 = 14, what is x? (a) 6 (b) 5 (c) 7 (d) 18
  11. 11.If x/3 + 13 = 17, what is x? (a) 4 (b) 12 (c) 90 (d) 38
  12. 12.If 8x − 4 = 12, what is x? (a) 2 (b) 16 (c) 1 (d) 3
  13. 13.If 3x + 11 = 20, what is x? (a) 4 (b) 2 (c) 9 (d) 3
  14. 14.If x/4 + 13 = 21, what is x? (a) 71 (b) 8 (c) 32 (d) 136
  15. 15.If x/3 + 11 = 16, what is x? (a) 15 (b) 81 (c) 5 (d) 37
  16. 16.If x/3 + 7 = 17, what is x? (a) 72 (b) 30 (c) 10 (d) 44
  17. 17.If 5x + 12 = 22, what is x? (a) 10 (b) 1 (c) 2 (d) 3
  18. 18.If 7x − 32 = 17, what is x? (a) 8 (b) 7 (c) 49 (d) 6
  19. 19.If 2x + 20 = 26, what is x? (a) 23 (b) 4 (c) 6 (d) 3
  20. 20.If 3x + 12 = x + 24, what is x? (a) 6 (b) 7 (c) 3 (d) 18
  21. 21.If x/2 + 4 = 15, what is x? (a) 26 (b) 38 (c) 22 (d) 11
  22. 22.If 3x − 16 = 2, what is x? (a) 5 (b) 18 (c) 7 (d) 6
  23. 23.If 2x + 11 = 37, what is x? (a) 26 (b) 13 (c) 24 (d) 14
  24. 24.If x/4 + 6 = 15, what is x? (a) 54 (b) 84 (c) 9 (d) 36
  25. 25.If 5x + 4 = 24, what is x? (a) 20 (b) 5 (c) 4 (d) 3
  26. 26.If 2x − 11 = 3, what is x? (a) 14 (b) 8 (c) 6 (d) 7
  27. 27.If 9x − 29 = 70, what is x? (a) 10 (b) 99 (c) 12 (d) 11
  28. 28.If 5x + 30 = 60, what is x? (a) 18 (b) 30 (c) 7 (d) 6
  29. 29.If 4x + 29 = 85, what is x? (a) 15 (b) 14 (c) 56 (d) 13
  30. 30.If 9x + 9 = x + 41, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  31. 31.If 7x + 8 = 78, what is x? (a) 11 (b) 9 (c) 10 (d) 70
  32. 32.If 2x + 15 = 19, what is x? (a) 17 (b) 4 (c) 3 (d) 2
  33. 33.If 6x − 52 = 38, what is x? (a) 14 (b) 90 (c) 16 (d) 15
  34. 34.If 5x − 9 = 6, what is x? (a) 4 (b) 2 (c) 3 (d) 15
  35. 35.If x/3 + 9 = 14, what is x? (a) 69 (b) 5 (c) 15 (d) 33
  36. 36.If 4x − 2 = 18, what is x? (a) 5 (b) 20 (c) 4 (d) 6
  37. 37.If 8x + 6 = 2x + 66, what is x? (a) 10 (b) 6 (c) 11 (d) 12
  38. 38.If x/3 + 11 = 22, what is x? (a) 11 (b) 55 (c) 99 (d) 33
  39. 39.If 2x + 22 = 30, what is x? (a) 26 (b) 5 (c) 8 (d) 4
  40. 40.If 9x − 11 = 79, what is x? (a) 90 (b) 10 (c) 11 (d) 9

Answer key

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

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