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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 240 · 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 x/3 + 7 = 11, what is x? (a) 26 (b) 12 (c) 54 (d) 4
  2. 2.If 4x + 7 = 3x + 10, what is x? (a) 3 (b) 5 (c) 4 (d) 17
  3. 3.If 4x + 14 = 46, what is x? (a) 32 (b) 9 (c) 8 (d) 15
  4. 4.If 9x − 23 = 58, what is x? (a) 8 (b) 9 (c) 10 (d) 81
  5. 5.If 6x + 3 = x + 23, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  6. 6.If 9x + 26 = 161, what is x? (a) 16 (b) 135 (c) 14 (d) 15
  7. 7.If 9x − 131 = 4, what is x? (a) 135 (b) 14 (c) 16 (d) 15
  8. 8.If x/4 + 15 = 24, what is x? (a) 156 (b) 36 (c) 81 (d) 9
  9. 9.If 7x + 18 = 4x + 45, what is x? (a) 21 (b) 10 (c) 11 (d) 9
  10. 10.If x/3 + 10 = 16, what is x? (a) 6 (b) 38 (c) 78 (d) 18
  11. 11.If 7x − 38 = 25, what is x? (a) 63 (b) 8 (c) 9 (d) 10
  12. 12.If 6x + 4 = 46, what is x? (a) 42 (b) 7 (c) 8 (d) 6
  13. 13.If x/5 + 9 = 15, what is x? (a) 6 (b) 66 (c) 30 (d) 120
  14. 14.If 5x − 22 = 13, what is x? (a) 35 (b) 7 (c) 8 (d) 6
  15. 15.If 6x + 13 = 2x + 45, what is x? (a) 4 (b) 10 (c) 8 (d) 9
  16. 16.If 5x − 19 = 51, what is x? (a) 70 (b) 13 (c) 15 (d) 14
  17. 17.If 6x + 19 = 2x + 47, what is x? (a) 8 (b) 7 (c) 6 (d) 9
  18. 18.If x/3 + 3 = 6, what is x? (a) 27 (b) 9 (c) 3 (d) 15
  19. 19.If x/5 + 11 = 14, what is x? (a) 3 (b) 59 (c) 15 (d) 125
  20. 20.If 8x + 5 = 6x + 9, what is x? (a) 7 (b) 3 (c) 4 (d) 2
  21. 21.If x/2 + 4 = 12, what is x? (a) 20 (b) 32 (c) 16 (d) 8
  22. 22.If 2x − 4 = 20, what is x? (a) 8 (b) 24 (c) 13 (d) 12
  23. 23.If x/5 + 8 = 10, what is x? (a) 42 (b) 10 (c) 90 (d) 2
  24. 24.If x/3 + 13 = 15, what is x? (a) 84 (b) 6 (c) 32 (d) 2
  25. 25.If x/5 + 8 = 11, what is x? (a) 3 (b) 15 (c) 47 (d) 95
  26. 26.If 3x + 16 = x + 20, what is x? (a) 18 (b) 1 (c) 2 (d) 3
  27. 27.If x/2 + 3 = 6, what is x? (a) 6 (b) 9 (c) 18 (d) 3
  28. 28.If 7x + 8 = 85, what is x? (a) 12 (b) 11 (c) 77 (d) 10
  29. 29.If x/2 + 11 = 21, what is x? (a) 64 (b) 31 (c) 20 (d) 10
  30. 30.If 6x − 11 = 13, what is x? (a) 24 (b) 3 (c) 4 (d) 5
  31. 31.If x/4 + 1 = 12, what is x? (a) 44 (b) 11 (c) 52 (d) 47
  32. 32.If 9x + 20 = x + 116, what is x? (a) 13 (b) 14 (c) 12 (d) 17
  33. 33.If 3x + 15 = 60, what is x? (a) 15 (b) 16 (c) 45 (d) 25
  34. 34.If x/3 + 5 = 13, what is x? (a) 54 (b) 8 (c) 24 (d) 34
  35. 35.If 8x + 6 = x + 27, what is x? (a) 3 (b) 4 (c) 5 (d) 2
  36. 36.If 3x + 19 = 25, what is x? (a) 6 (b) 2 (c) 1 (d) 3
  37. 37.If 4x − 15 = 45, what is x? (a) 60 (b) 14 (c) 15 (d) 16
  38. 38.If x/6 + 10 = 20, what is x? (a) 110 (b) 10 (c) 180 (d) 60
  39. 39.If 2x − 3 = 3, what is x? (a) 2 (b) 3 (c) 4 (d) 6
  40. 40.If 6x + 6 = 2x + 14, what is x? (a) 1 (b) 3 (c) 2 (d) 5

Answer key

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

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