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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 332 · 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 5x − 10 = 5, what is x? (a) 2 (b) 4 (c) 15 (d) 3
  2. 2.If 6x + 21 = 57, what is x? (a) 13 (b) 6 (c) 7 (d) 36
  3. 3.If 6x − 1 = 71, what is x? (a) 72 (b) 11 (c) 13 (d) 12
  4. 4.If 6x + 11 = 3x + 20, what is x? (a) 1 (b) 3 (c) 5 (d) 4
  5. 5.If 8x + 1 = x + 29, what is x? (a) 6 (b) 4 (c) 3 (d) 5
  6. 6.If 6x + 5 = 23, what is x? (a) 3 (b) 2 (c) 4 (d) 18
  7. 7.If 6x − 24 = 6, what is x? (a) 6 (b) 4 (c) 5 (d) 30
  8. 8.If 5x − 5 = 20, what is x? (a) 25 (b) 3 (c) 6 (d) 5
  9. 9.If x/2 + 3 = 9, what is x? (a) 6 (b) 24 (c) 15 (d) 12
  10. 10.If x/3 + 9 = 11, what is x? (a) 60 (b) 6 (c) 24 (d) 2
  11. 11.If 6x − 7 = 11, what is x? (a) 18 (b) 4 (c) 2 (d) 3
  12. 12.If 6x − 14 = 4, what is x? (a) 3 (b) 2 (c) 4 (d) 18
  13. 13.If 9x + 2 = 38, what is x? (a) 36 (b) 5 (c) 3 (d) 4
  14. 14.If 3x + 14 = 2x + 15, what is x? (a) 1 (b) 3 (c) 2 (d) 29
  15. 15.If 8x + 12 = 76, what is x? (a) 64 (b) 11 (c) 8 (d) 9
  16. 16.If 3x + 5 = 2x + 16, what is x? (a) 13 (b) 12 (c) 21 (d) 11
  17. 17.If 6x + 25 = 115, what is x? (a) 16 (b) 15 (c) 14 (d) 90
  18. 18.If x/5 + 6 = 11, what is x? (a) 49 (b) 85 (c) 25 (d) 5
  19. 19.If x/3 + 1 = 7, what is x? (a) 20 (b) 18 (c) 6 (d) 24
  20. 20.If 3x + 16 = 2x + 25, what is x? (a) 9 (b) 10 (c) 41 (d) 11
  21. 21.If 3x + 1 = x + 23, what is x? (a) 10 (b) 11 (c) 12 (d) 13
  22. 22.If 4x + 3 = 2x + 13, what is x? (a) 8 (b) 7 (c) 6 (d) 5
  23. 23.If x/3 + 15 = 17, what is x? (a) 96 (b) 2 (c) 6 (d) 36
  24. 24.If 7x − 2 = 61, what is x? (a) 10 (b) 9 (c) 63 (d) 8
  25. 25.If x/2 + 4 = 15, what is x? (a) 38 (b) 11 (c) 22 (d) 26
  26. 26.If 3x + 18 = 33, what is x? (a) 17 (b) 15 (c) 5 (d) 6
  27. 27.If 9x + 8 = 107, what is x? (a) 12 (b) 11 (c) 10 (d) 99
  28. 28.If x/3 + 1 = 8, what is x? (a) 7 (b) 23 (c) 27 (d) 21
  29. 29.If 5x + 18 = 3x + 42, what is x? (a) 3 (b) 13 (c) 12 (d) 30
  30. 30.If 6x + 14 = 2x + 46, what is x? (a) 4 (b) 9 (c) 15 (d) 8
  31. 31.If 6x + 4 = 3x + 37, what is x? (a) 13 (b) 10 (c) 12 (d) 11
  32. 32.If 6x + 2 = 4x + 4, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  33. 33.If 2x + 8 = 16, what is x? (a) 8 (b) 12 (c) 4 (d) 5
  34. 34.If 8x − 37 = 27, what is x? (a) 64 (b) 9 (c) 8 (d) 7
  35. 35.If x/2 + 10 = 12, what is x? (a) 14 (b) 2 (c) 4 (d) 44
  36. 36.If 6x − 62 = 22, what is x? (a) 84 (b) 15 (c) 13 (d) 14
  37. 37.If 6x − 52 = 38, what is x? (a) 14 (b) 16 (c) 90 (d) 15
  38. 38.If 9x + 13 = 4x + 23, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  39. 39.If 5x + 14 = 2x + 50, what is x? (a) 14 (b) 11 (c) 13 (d) 12
  40. 40.If 2x + 18 = 46, what is x? (a) 28 (b) 32 (c) 14 (d) 15

Answer key

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

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