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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 2 · 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 − 17 = 49, what is x? (a) 66 (b) 10 (c) 11 (d) 12
  2. 2.If 5x + 12 = 37, what is x? (a) 4 (b) 6 (c) 5 (d) 25
  3. 3.If 6x + 18 = 42, what is x? (a) 4 (b) 24 (c) 10 (d) 5
  4. 4.If 5x + 13 = 3x + 35, what is x? (a) 12 (b) 13 (c) 11 (d) 24
  5. 5.If 7x − 17 = 4, what is x? (a) 2 (b) 21 (c) 3 (d) 4
  6. 6.If x/2 + 1 = 5, what is x? (a) 8 (b) 9 (c) 4 (d) 12
  7. 7.If 3x + 9 = 2x + 14, what is x? (a) 1 (b) 6 (c) 23 (d) 5
  8. 8.If 4x + 19 = x + 46, what is x? (a) 9 (b) 11 (c) 10 (d) 8
  9. 9.If x/4 + 3 = 9, what is x? (a) 48 (b) 6 (c) 24 (d) 33
  10. 10.If x/3 + 1 = 3, what is x? (a) 6 (b) 12 (c) 8 (d) 2
  11. 11.If 3x + 10 = x + 22, what is x? (a) 3 (b) 16 (c) 6 (d) 7
  12. 12.If x/4 + 2 = 8, what is x? (a) 30 (b) 6 (c) 24 (d) 40
  13. 13.If 2x − 18 = 2, what is x? (a) 9 (b) 10 (c) 20 (d) 11
  14. 14.If 4x − 32 = 16, what is x? (a) 48 (b) 12 (c) 13 (d) 11
  15. 15.If 7x + 13 = 4x + 22, what is x? (a) 5 (b) 3 (c) 4 (d) 2
  16. 16.If 4x + 6 = 54, what is x? (a) 12 (b) 13 (c) 15 (d) 48
  17. 17.If x/3 + 8 = 14, what is x? (a) 66 (b) 6 (c) 18 (d) 34
  18. 18.If 4x + 19 = 55, what is x? (a) 36 (b) 10 (c) 9 (d) 8
  19. 19.If x/6 + 4 = 13, what is x? (a) 54 (b) 9 (c) 74 (d) 102
  20. 20.If x/6 + 11 = 22, what is x? (a) 66 (b) 198 (c) 11 (d) 121
  21. 21.If x/4 + 2 = 5, what is x? (a) 12 (b) 18 (c) 28 (d) 3
  22. 22.If 2x − 1 = 5, what is x? (a) 6 (b) 3 (c) 2 (d) 4
  23. 23.If 3x + 2 = x + 6, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  24. 24.If 7x + 16 = 51, what is x? (a) 5 (b) 6 (c) 35 (d) 4
  25. 25.If 4x − 16 = 4, what is x? (a) 20 (b) 6 (c) 4 (d) 5
  26. 26.If x/5 + 15 = 25, what is x? (a) 50 (b) 10 (c) 200 (d) 110
  27. 27.If x/6 + 3 = 11, what is x? (a) 48 (b) 63 (c) 8 (d) 84
  28. 28.If 8x + 13 = 133, what is x? (a) 15 (b) 120 (c) 16 (d) 14
  29. 29.If 3x − 3 = 39, what is x? (a) 15 (b) 12 (c) 14 (d) 42
  30. 30.If 7x − 48 = 22, what is x? (a) 10 (b) 70 (c) 11 (d) 9
  31. 31.If 9x − 29 = 25, what is x? (a) 5 (b) 7 (c) 6 (d) 54
  32. 32.If 3x − 25 = 5, what is x? (a) 11 (b) 30 (c) 10 (d) 9
  33. 33.If 5x + 14 = x + 26, what is x? (a) 3 (b) 10 (c) 2 (d) 4
  34. 34.If x/3 + 15 = 23, what is x? (a) 8 (b) 114 (c) 54 (d) 24
  35. 35.If 8x + 24 = 96, what is x? (a) 72 (b) 15 (c) 10 (d) 9
  36. 36.If x/5 + 4 = 7, what is x? (a) 31 (b) 55 (c) 3 (d) 15
  37. 37.If 4x + 4 = 36, what is x? (a) 9 (b) 10 (c) 32 (d) 8
  38. 38.If 5x + 17 = 27, what is x? (a) 3 (b) 10 (c) 1 (d) 2
  39. 39.If x/2 + 4 = 16, what is x? (a) 12 (b) 28 (c) 40 (d) 24
  40. 40.If 3x + 27 = 42, what is x? (a) 23 (b) 5 (c) 6 (d) 15

Answer key

  1. 11
  2. 5
  3. 4
  4. 11
  5. 3
  6. 8
  7. 5
  8. 9
  9. 24
  10. 6
  11. 6
  12. 24
  13. 10
  14. 12
  15. 3
  16. 12
  17. 18
  18. 9
  19. 54
  20. 66
  21. 12
  22. 3
  23. 2
  24. 5
  25. 5
  26. 50
  27. 48
  28. 15
  29. 14
  30. 10
  31. 6
  32. 10
  33. 3
  34. 24
  35. 9
  36. 15
  37. 8
  38. 2
  39. 24
  40. 5

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