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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 554 · 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 + 27 = 93, what is x? (a) 11 (b) 66 (c) 12 (d) 20
  2. 2.If 4x + 29 = 81, what is x? (a) 52 (b) 14 (c) 13 (d) 12
  3. 3.If x/6 + 8 = 19, what is x? (a) 11 (b) 106 (c) 162 (d) 66
  4. 4.If 5x + 12 = 47, what is x? (a) 6 (b) 35 (c) 8 (d) 7
  5. 5.If 2x − 11 = 5, what is x? (a) 16 (b) 7 (c) 8 (d) 9
  6. 6.If 8x + 13 = 5x + 22, what is x? (a) 2 (b) 3 (c) 4 (d) 5
  7. 7.If x/5 + 15 = 27, what is x? (a) 12 (b) 120 (c) 60 (d) 210
  8. 8.If 3x + 11 = x + 25, what is x? (a) 9 (b) 8 (c) 7 (d) 18
  9. 9.If 4x + 17 = 73, what is x? (a) 56 (b) 15 (c) 13 (d) 14
  10. 10.If 5x + 1 = 2x + 34, what is x? (a) 11 (b) 10 (c) 13 (d) 12
  11. 11.If 3x − 17 = 10, what is x? (a) 9 (b) 8 (c) 27 (d) 10
  12. 12.If 6x − 15 = 3, what is x? (a) 3 (b) 18 (c) 4 (d) 2
  13. 13.If x/3 + 5 = 11, what is x? (a) 48 (b) 28 (c) 18 (d) 6
  14. 14.If 8x + 29 = 45, what is x? (a) 3 (b) 16 (c) 2 (d) 1
  15. 15.If 8x + 18 = 7x + 23, what is x? (a) 6 (b) 7 (c) 5 (d) 41
  16. 16.If 8x + 4 = x + 67, what is x? (a) 11 (b) 9 (c) 10 (d) 7
  17. 17.If 7x − 18 = 66, what is x? (a) 12 (b) 13 (c) 11 (d) 84
  18. 18.If 9x + 17 = 8x + 23, what is x? (a) 6 (b) 8 (c) 7 (d) 40
  19. 19.If x/5 + 8 = 20, what is x? (a) 140 (b) 12 (c) 60 (d) 92
  20. 20.If 4x + 17 = 2x + 41, what is x? (a) 12 (b) 13 (c) 4 (d) 29
  21. 21.If 9x + 17 = x + 33, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  22. 22.If 5x + 2 = 32, what is x? (a) 7 (b) 5 (c) 30 (d) 6
  23. 23.If x/3 + 7 = 11, what is x? (a) 12 (b) 54 (c) 4 (d) 26
  24. 24.If 6x + 29 = 59, what is x? (a) 30 (b) 5 (c) 4 (d) 6
  25. 25.If x/5 + 11 = 19, what is x? (a) 84 (b) 40 (c) 8 (d) 150
  26. 26.If x/3 + 2 = 14, what is x? (a) 12 (b) 48 (c) 40 (d) 36
  27. 27.If 8x + 16 = 80, what is x? (a) 12 (b) 64 (c) 9 (d) 8
  28. 28.If 4x − 12 = 12, what is x? (a) 24 (b) 7 (c) 6 (d) 5
  29. 29.If x/5 + 8 = 18, what is x? (a) 10 (b) 130 (c) 82 (d) 50
  30. 30.If 7x + 4 = 39, what is x? (a) 6 (b) 35 (c) 5 (d) 4
  31. 31.If 3x − 6 = 9, what is x? (a) 6 (b) 5 (c) 15 (d) 1
  32. 32.If 3x − 19 = 14, what is x? (a) 10 (b) 11 (c) 33 (d) 12
  33. 33.If x/3 + 1 = 7, what is x? (a) 18 (b) 6 (c) 24 (d) 20
  34. 34.If 3x − 7 = 26, what is x? (a) 33 (b) 11 (c) 12 (d) 10
  35. 35.If 7x + 15 = 3x + 63, what is x? (a) 12 (b) 13 (c) 11 (d) 14
  36. 36.If 8x + 3 = 4x + 47, what is x? (a) 10 (b) 11 (c) 12 (d) 13
  37. 37.If 4x + 2 = 10, what is x? (a) 1 (b) 3 (c) 8 (d) 2
  38. 38.If x/3 + 6 = 11, what is x? (a) 51 (b) 27 (c) 5 (d) 15
  39. 39.If x/2 + 4 = 12, what is x? (a) 32 (b) 16 (c) 20 (d) 8
  40. 40.If 3x + 10 = x + 12, what is x? (a) 11 (b) 3 (c) 2 (d) 1

Answer key

  1. 11
  2. 13
  3. 66
  4. 7
  5. 8
  6. 3
  7. 60
  8. 7
  9. 14
  10. 11
  11. 9
  12. 3
  13. 18
  14. 2
  15. 5
  16. 9
  17. 12
  18. 6
  19. 60
  20. 12
  21. 2
  22. 6
  23. 12
  24. 5
  25. 40
  26. 36
  27. 8
  28. 6
  29. 50
  30. 5
  31. 5
  32. 11
  33. 18
  34. 11
  35. 12
  36. 11
  37. 2
  38. 15
  39. 16
  40. 1

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