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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 765 · 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 − 36 = 45, what is x? (a) 10 (b) 9 (c) 1 (d) 81
  2. 2.If 3x + 6 = 42, what is x? (a) 13 (b) 16 (c) 12 (d) 36
  3. 3.If x/3 + 8 = 10, what is x? (a) 22 (b) 2 (c) 6 (d) 54
  4. 4.If x/3 + 4 = 13, what is x? (a) 27 (b) 9 (c) 51 (d) 35
  5. 5.If x/6 + 5 = 13, what is x? (a) 73 (b) 48 (c) 8 (d) 108
  6. 6.If 8x + 1 = 81, what is x? (a) 10 (b) 9 (c) 80 (d) 11
  7. 7.If x/4 + 15 = 20, what is x? (a) 140 (b) 5 (c) 65 (d) 20
  8. 8.If 8x + 16 = 40, what is x? (a) 7 (b) 3 (c) 4 (d) 24
  9. 9.If 6x + 6 = 24, what is x? (a) 3 (b) 5 (c) 18 (d) 4
  10. 10.If 5x + 9 = 39, what is x? (a) 5 (b) 7 (c) 30 (d) 6
  11. 11.If 7x + 6 = 111, what is x? (a) 105 (b) 16 (c) 15 (d) 14
  12. 12.If 8x + 13 = 2x + 31, what is x? (a) 3 (b) 5 (c) 4 (d) 2
  13. 13.If 9x + 6 = 8x + 12, what is x? (a) 18 (b) 6 (c) 7 (d) 8
  14. 14.If 3x + 18 = 60, what is x? (a) 26 (b) 42 (c) 14 (d) 15
  15. 15.If 8x − 37 = 11, what is x? (a) 6 (b) 5 (c) 48 (d) 7
  16. 16.If 2x + 5 = 29, what is x? (a) 13 (b) 12 (c) 24 (d) 17
  17. 17.If 4x − 4 = 8, what is x? (a) 1 (b) 4 (c) 3 (d) 12
  18. 18.If 5x + 1 = x + 5, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  19. 19.If 5x + 19 = 54, what is x? (a) 7 (b) 6 (c) 8 (d) 35
  20. 20.If 8x + 5 = 2x + 65, what is x? (a) 10 (b) 11 (c) 6 (d) 12
  21. 21.If 8x − 15 = 97, what is x? (a) 13 (b) 112 (c) 14 (d) 15
  22. 22.If x/4 + 12 = 17, what is x? (a) 5 (b) 56 (c) 116 (d) 20
  23. 23.If x/2 + 2 = 13, what is x? (a) 11 (b) 24 (c) 22 (d) 30
  24. 24.If 3x + 11 = 20, what is x? (a) 2 (b) 9 (c) 3 (d) 4
  25. 25.If 3x + 10 = 37, what is x? (a) 10 (b) 9 (c) 27 (d) 8
  26. 26.If 5x + 12 = 27, what is x? (a) 15 (b) 4 (c) 3 (d) 2
  27. 27.If 3x + 13 = 46, what is x? (a) 10 (b) 12 (c) 33 (d) 11
  28. 28.If 2x − 4 = 8, what is x? (a) 2 (b) 12 (c) 6 (d) 7
  29. 29.If 5x − 13 = 2, what is x? (a) 2 (b) 4 (c) 3 (d) 15
  30. 30.If 5x − 1 = 9, what is x? (a) 1 (b) 10 (c) 3 (d) 2
  31. 31.If 8x − 39 = 25, what is x? (a) 64 (b) 9 (c) 7 (d) 8
  32. 32.If 5x + 19 = 74, what is x? (a) 12 (b) 55 (c) 11 (d) 10
  33. 33.If 4x + 11 = 47, what is x? (a) 9 (b) 8 (c) 10 (d) 36
  34. 34.If 8x + 3 = 27, what is x? (a) 24 (b) 2 (c) 4 (d) 3
  35. 35.If 5x + 27 = 52, what is x? (a) 6 (b) 25 (c) 5 (d) 4
  36. 36.If 3x + 22 = 46, what is x? (a) 9 (b) 7 (c) 24 (d) 8
  37. 37.If 8x + 5 = 85, what is x? (a) 10 (b) 11 (c) 80 (d) 9
  38. 38.If x/6 + 13 = 22, what is x? (a) 119 (b) 54 (c) 210 (d) 9
  39. 39.If 8x + 20 = 4x + 68, what is x? (a) 13 (b) 12 (c) 22 (d) 4
  40. 40.If 4x + 11 = 3x + 12, what is x? (a) 23 (b) 2 (c) 3 (d) 1

Answer key

  1. 9
  2. 12
  3. 6
  4. 27
  5. 48
  6. 10
  7. 20
  8. 3
  9. 3
  10. 6
  11. 15
  12. 3
  13. 6
  14. 14
  15. 6
  16. 12
  17. 3
  18. 1
  19. 7
  20. 10
  21. 14
  22. 20
  23. 22
  24. 3
  25. 9
  26. 3
  27. 11
  28. 6
  29. 3
  30. 2
  31. 8
  32. 11
  33. 9
  34. 3
  35. 5
  36. 8
  37. 10
  38. 54
  39. 12
  40. 1

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