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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 913 · 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 5x − 17 = 13, what is x? (a) 7 (b) 5 (c) 30 (d) 6
  2. 2.If 8x + 22 = 54, what is x? (a) 3 (b) 5 (c) 4 (d) 32
  3. 3.If 8x + 1 = 6x + 5, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  4. 4.If 3x + 2 = x + 22, what is x? (a) 10 (b) 5 (c) 11 (d) 12
  5. 5.If 4x + 2 = 46, what is x? (a) 10 (b) 12 (c) 11 (d) 44
  6. 6.If 5x + 23 = 48, what is x? (a) 25 (b) 5 (c) 4 (d) 6
  7. 7.If 9x − 69 = 39, what is x? (a) 13 (b) 11 (c) 12 (d) 108
  8. 8.If 9x + 12 = 2x + 75, what is x? (a) 10 (b) 8 (c) 11 (d) 9
  9. 9.If x/2 + 15 = 21, what is x? (a) 72 (b) 27 (c) 12 (d) 6
  10. 10.If x/5 + 15 = 21, what is x? (a) 6 (b) 90 (c) 180 (d) 30
  11. 11.If x/6 + 11 = 16, what is x? (a) 5 (b) 162 (c) 85 (d) 30
  12. 12.If x/5 + 7 = 17, what is x? (a) 120 (b) 10 (c) 50 (d) 78
  13. 13.If 7x − 9 = 61, what is x? (a) 11 (b) 10 (c) 70 (d) 9
  14. 14.If 3x − 37 = 8, what is x? (a) 16 (b) 14 (c) 45 (d) 15
  15. 15.If x/6 + 11 = 13, what is x? (a) 67 (b) 2 (c) 144 (d) 12
  16. 16.If x/2 + 6 = 11, what is x? (a) 16 (b) 10 (c) 5 (d) 34
  17. 17.If 3x + 4 = 2x + 16, what is x? (a) 13 (b) 12 (c) 14 (d) 20
  18. 18.If 3x + 19 = 2x + 30, what is x? (a) 11 (b) 13 (c) 12 (d) 49
  19. 19.If x/2 + 1 = 5, what is x? (a) 8 (b) 4 (c) 9 (d) 12
  20. 20.If x/5 + 11 = 17, what is x? (a) 74 (b) 30 (c) 6 (d) 140
  21. 21.If 8x + 13 = 5x + 28, what is x? (a) 7 (b) 4 (c) 6 (d) 5
  22. 22.If 2x + 3 = 7, what is x? (a) 3 (b) 4 (c) 2 (d) 5
  23. 23.If 5x − 41 = 19, what is x? (a) 13 (b) 12 (c) 11 (d) 60
  24. 24.If 7x − 6 = 8, what is x? (a) 2 (b) 1 (c) 14 (d) 3
  25. 25.If 3x + 1 = 2x + 2, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  26. 26.If 3x + 18 = 2x + 29, what is x? (a) 47 (b) 12 (c) 13 (d) 11
  27. 27.If 4x + 11 = 43, what is x? (a) 8 (b) 9 (c) 7 (d) 32
  28. 28.If 5x + 8 = x + 32, what is x? (a) 4 (b) 7 (c) 6 (d) 10
  29. 29.If 6x + 11 = 77, what is x? (a) 66 (b) 10 (c) 11 (d) 12
  30. 30.If 5x + 18 = 38, what is x? (a) 20 (b) 5 (c) 3 (d) 4
  31. 31.If 3x + 10 = x + 20, what is x? (a) 7 (b) 6 (c) 5 (d) 15
  32. 32.If 7x − 44 = 33, what is x? (a) 11 (b) 10 (c) 77 (d) 12
  33. 33.If 6x + 18 = 2x + 62, what is x? (a) 12 (b) 20 (c) 11 (d) 13
  34. 34.If 4x + 7 = 63, what is x? (a) 13 (b) 15 (c) 56 (d) 14
  35. 35.If 5x − 4 = 11, what is x? (a) 15 (b) 4 (c) 3 (d) 2
  36. 36.If 4x + 18 = 3x + 28, what is x? (a) 10 (b) 46 (c) 11 (d) 12
  37. 37.If 2x + 18 = 38, what is x? (a) 10 (b) 28 (c) 20 (d) 11
  38. 38.If x/3 + 11 = 14, what is x? (a) 31 (b) 75 (c) 9 (d) 3
  39. 39.If 5x + 30 = 105, what is x? (a) 15 (b) 27 (c) 16 (d) 75
  40. 40.If 4x + 8 = 3x + 18, what is x? (a) 26 (b) 11 (c) 12 (d) 10

Answer key

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

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