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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 951 · 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 7x + 2 = 2x + 22, what is x? (a) 4 (b) 6 (c) 3 (d) 5
  2. 2.If 2x + 11 = 33, what is x? (a) 10 (b) 12 (c) 22 (d) 11
  3. 3.If x/6 + 12 = 21, what is x? (a) 54 (b) 114 (c) 198 (d) 9
  4. 4.If 6x + 9 = 2x + 49, what is x? (a) 11 (b) 12 (c) 10 (d) 5
  5. 5.If 6x − 61 = 23, what is x? (a) 15 (b) 13 (c) 14 (d) 84
  6. 6.If 9x + 5 = 23, what is x? (a) 18 (b) 3 (c) 2 (d) 1
  7. 7.If 7x + 5 = 3x + 17, what is x? (a) 5 (b) 4 (c) 2 (d) 3
  8. 8.If 3x + 24 = 69, what is x? (a) 45 (b) 16 (c) 31 (d) 15
  9. 9.If 4x + 12 = 56, what is x? (a) 44 (b) 12 (c) 17 (d) 11
  10. 10.If x/6 + 13 = 23, what is x? (a) 10 (b) 125 (c) 60 (d) 216
  11. 11.If x/3 + 3 = 9, what is x? (a) 24 (b) 6 (c) 18 (d) 36
  12. 12.If 3x − 13 = 11, what is x? (a) 8 (b) 7 (c) 9 (d) 24
  13. 13.If 4x + 19 = x + 46, what is x? (a) 10 (b) 8 (c) 11 (d) 9
  14. 14.If 3x + 13 = 2x + 14, what is x? (a) 2 (b) 1 (c) 27 (d) 3
  15. 15.If 7x − 28 = 14, what is x? (a) 5 (b) 6 (c) 42 (d) 7
  16. 16.If 9x + 9 = 81, what is x? (a) 9 (b) 8 (c) 72 (d) 10
  17. 17.If 4x − 44 = 4, what is x? (a) 48 (b) 11 (c) 12 (d) 13
  18. 18.If 5x + 5 = 3x + 9, what is x? (a) 3 (b) 4 (c) 7 (d) 2
  19. 19.If x/4 + 14 = 18, what is x? (a) 4 (b) 128 (c) 16 (d) 58
  20. 20.If x/3 + 12 = 16, what is x? (a) 36 (b) 84 (c) 4 (d) 12
  21. 21.If 8x − 85 = 3, what is x? (a) 11 (b) 10 (c) 88 (d) 12
  22. 22.If x/4 + 5 = 10, what is x? (a) 35 (b) 5 (c) 20 (d) 60
  23. 23.If 4x − 6 = 6, what is x? (a) 3 (b) 12 (c) 2 (d) 4
  24. 24.If 7x + 19 = 124, what is x? (a) 14 (b) 16 (c) 15 (d) 105
  25. 25.If 8x + 24 = 56, what is x? (a) 10 (b) 32 (c) 5 (d) 4
  26. 26.If 6x + 27 = 75, what is x? (a) 48 (b) 9 (c) 17 (d) 8
  27. 27.If 3x + 28 = 52, what is x? (a) 9 (b) 7 (c) 24 (d) 8
  28. 28.If x/3 + 10 = 22, what is x? (a) 12 (b) 96 (c) 36 (d) 56
  29. 29.If 7x + 2 = 107, what is x? (a) 14 (b) 105 (c) 16 (d) 15
  30. 30.If 4x + 1 = x + 4, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  31. 31.If 8x + 20 = 6x + 40, what is x? (a) 12 (b) 30 (c) 10 (d) 11
  32. 32.If 3x + 6 = 2x + 7, what is x? (a) 2 (b) 1 (c) 13 (d) 3
  33. 33.If x/2 + 14 = 22, what is x? (a) 8 (b) 30 (c) 72 (d) 16
  34. 34.If 4x + 22 = 46, what is x? (a) 7 (b) 17 (c) 6 (d) 24
  35. 35.If 7x + 15 = 4x + 21, what is x? (a) 4 (b) 2 (c) 12 (d) 3
  36. 36.If x/3 + 2 = 6, what is x? (a) 12 (b) 24 (c) 16 (d) 4
  37. 37.If 6x − 29 = 1, what is x? (a) 4 (b) 6 (c) 5 (d) 30
  38. 38.If 3x + 5 = x + 21, what is x? (a) 9 (b) 13 (c) 8 (d) 4
  39. 39.If 9x + 22 = 130, what is x? (a) 13 (b) 11 (c) 12 (d) 108
  40. 40.If x/6 + 5 = 8, what is x? (a) 3 (b) 78 (c) 18 (d) 43

Answer key

  1. 4
  2. 11
  3. 54
  4. 10
  5. 14
  6. 2
  7. 3
  8. 15
  9. 11
  10. 60
  11. 18
  12. 8
  13. 9
  14. 1
  15. 6
  16. 8
  17. 12
  18. 2
  19. 16
  20. 12
  21. 11
  22. 20
  23. 3
  24. 15
  25. 4
  26. 8
  27. 8
  28. 36
  29. 15
  30. 1
  31. 10
  32. 1
  33. 16
  34. 6
  35. 2
  36. 12
  37. 5
  38. 8
  39. 12
  40. 18

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