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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 73 · 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 + 20 = 104, what is x? (a) 13 (b) 84 (c) 14 (d) 15
  2. 2.If 9x + 21 = 66, what is x? (a) 6 (b) 5 (c) 4 (d) 45
  3. 3.If 5x − 49 = 1, what is x? (a) 10 (b) 9 (c) 11 (d) 50
  4. 4.If 8x − 3 = 37, what is x? (a) 6 (b) 5 (c) 4 (d) 40
  5. 5.If 4x + 12 = 2x + 26, what is x? (a) 19 (b) 7 (c) 8 (d) 9
  6. 6.If 3x + 14 = 20, what is x? (a) 1 (b) 3 (c) 6 (d) 2
  7. 7.If 5x + 15 = x + 31, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  8. 8.If 9x + 13 = 4x + 58, what is x? (a) 11 (b) 9 (c) 8 (d) 10
  9. 9.If 5x + 8 = 33, what is x? (a) 4 (b) 25 (c) 6 (d) 5
  10. 10.If 9x + 18 = 4x + 63, what is x? (a) 10 (b) 11 (c) 9 (d) 8
  11. 11.If x/2 + 8 = 11, what is x? (a) 3 (b) 6 (c) 14 (d) 38
  12. 12.If 7x + 30 = 58, what is x? (a) 4 (b) 28 (c) 5 (d) 3
  13. 13.If 7x + 13 = 6x + 14, what is x? (a) 2 (b) 1 (c) 27 (d) 3
  14. 14.If 6x − 18 = 66, what is x? (a) 14 (b) 8 (c) 15 (d) 84
  15. 15.If 5x + 15 = 45, what is x? (a) 6 (b) 12 (c) 30 (d) 7
  16. 16.If 9x + 24 = 87, what is x? (a) 6 (b) 63 (c) 8 (d) 7
  17. 17.If 6x − 34 = 2, what is x? (a) 36 (b) 6 (c) 5 (d) 7
  18. 18.If 9x + 5 = 8x + 7, what is x? (a) 12 (b) 2 (c) 4 (d) 3
  19. 19.If 3x − 19 = 14, what is x? (a) 12 (b) 33 (c) 11 (d) 10
  20. 20.If 4x + 15 = 35, what is x? (a) 4 (b) 5 (c) 6 (d) 20
  21. 21.If 9x + 7 = 88, what is x? (a) 9 (b) 10 (c) 8 (d) 81
  22. 22.If 6x − 25 = 59, what is x? (a) 15 (b) 84 (c) 13 (d) 14
  23. 23.If 2x − 1 = 3, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  24. 24.If 6x + 20 = 44, what is x? (a) 4 (b) 3 (c) 24 (d) 5
  25. 25.If 5x + 10 = 3x + 18, what is x? (a) 4 (b) 5 (c) 14 (d) 1
  26. 26.If 9x + 3 = 75, what is x? (a) 7 (b) 72 (c) 8 (d) 9
  27. 27.If 3x + 6 = 2x + 14, what is x? (a) 8 (b) 20 (c) 10 (d) 9
  28. 28.If 6x + 12 = 2x + 44, what is x? (a) 4 (b) 9 (c) 14 (d) 8
  29. 29.If 5x + 28 = 43, what is x? (a) 15 (b) 4 (c) 2 (d) 3
  30. 30.If x/3 + 12 = 22, what is x? (a) 10 (b) 30 (c) 102 (d) 54
  31. 31.If 3x − 9 = 15, what is x? (a) 24 (b) 2 (c) 8 (d) 9
  32. 32.If 4x − 8 = 52, what is x? (a) 16 (b) 11 (c) 15 (d) 60
  33. 33.If x/4 + 13 = 15, what is x? (a) 47 (b) 112 (c) 2 (d) 8
  34. 34.If 4x + 22 = 50, what is x? (a) 8 (b) 28 (c) 18 (d) 7
  35. 35.If 3x + 3 = x + 15, what is x? (a) 3 (b) 9 (c) 6 (d) 7
  36. 36.If 8x + 28 = 108, what is x? (a) 17 (b) 11 (c) 10 (d) 80
  37. 37.If 5x − 10 = 40, what is x? (a) 10 (b) 50 (c) 6 (d) 11
  38. 38.If 2x + 2 = 20, what is x? (a) 18 (b) 11 (c) 10 (d) 9
  39. 39.If 5x − 11 = 39, what is x? (a) 9 (b) 50 (c) 10 (d) 11
  40. 40.If 2x + 30 = 40, what is x? (a) 10 (b) 6 (c) 35 (d) 5

Answer key

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

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