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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 927 · 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 3x − 19 = 11, what is x? (a) 9 (b) 11 (c) 10 (d) 30
  2. 2.If 3x − 37 = 2, what is x? (a) 39 (b) 13 (c) 14 (d) 12
  3. 3.If 5x + 4 = 3x + 22, what is x? (a) 11 (b) 9 (c) 13 (d) 10
  4. 4.If x/3 + 12 = 15, what is x? (a) 33 (b) 9 (c) 3 (d) 81
  5. 5.If 9x + 17 = 152, what is x? (a) 15 (b) 135 (c) 16 (d) 14
  6. 6.If 5x + 11 = 41, what is x? (a) 30 (b) 6 (c) 5 (d) 7
  7. 7.If 5x + 8 = 73, what is x? (a) 12 (b) 14 (c) 13 (d) 65
  8. 8.If x/6 + 6 = 15, what is x? (a) 9 (b) 54 (c) 126 (d) 84
  9. 9.If 3x − 2 = 34, what is x? (a) 11 (b) 12 (c) 13 (d) 36
  10. 10.If 9x − 98 = 37, what is x? (a) 16 (b) 135 (c) 15 (d) 14
  11. 11.If x/3 + 6 = 9, what is x? (a) 3 (b) 21 (c) 45 (d) 9
  12. 12.If 8x + 14 = 7x + 25, what is x? (a) 39 (b) 13 (c) 12 (d) 11
  13. 13.If 3x + 14 = x + 38, what is x? (a) 6 (b) 26 (c) 13 (d) 12
  14. 14.If 7x + 17 = x + 65, what is x? (a) 6 (b) 8 (c) 9 (d) 10
  15. 15.If x/4 + 2 = 13, what is x? (a) 11 (b) 50 (c) 44 (d) 60
  16. 16.If 4x − 10 = 18, what is x? (a) 2 (b) 28 (c) 8 (d) 7
  17. 17.If 6x + 17 = 2x + 45, what is x? (a) 9 (b) 6 (c) 7 (d) 8
  18. 18.If 7x − 28 = 35, what is x? (a) 10 (b) 63 (c) 9 (d) 1
  19. 19.If 7x + 29 = 64, what is x? (a) 35 (b) 6 (c) 5 (d) 4
  20. 20.If x/4 + 6 = 10, what is x? (a) 16 (b) 64 (c) 34 (d) 4
  21. 21.If 6x + 5 = 3x + 41, what is x? (a) 13 (b) 12 (c) 4 (d) 14
  22. 22.If 9x + 11 = 7x + 25, what is x? (a) 7 (b) 18 (c) 8 (d) 9
  23. 23.If 5x + 21 = 36, what is x? (a) 3 (b) 2 (c) 4 (d) 15
  24. 24.If x/3 + 12 = 23, what is x? (a) 33 (b) 105 (c) 57 (d) 11
  25. 25.If 5x − 40 = 5, what is x? (a) 10 (b) 9 (c) 8 (d) 45
  26. 26.If 6x + 17 = x + 37, what is x? (a) 5 (b) 3 (c) 4 (d) 6
  27. 27.If 5x − 21 = 34, what is x? (a) 11 (b) 10 (c) 55 (d) 12
  28. 28.If 8x + 7 = 39, what is x? (a) 32 (b) 5 (c) 3 (d) 4
  29. 29.If 6x − 45 = 15, what is x? (a) 10 (b) 11 (c) 9 (d) 60
  30. 30.If 9x − 25 = 11, what is x? (a) 5 (b) 4 (c) 3 (d) 36
  31. 31.If 5x + 3 = 2x + 24, what is x? (a) 3 (b) 8 (c) 9 (d) 7
  32. 32.If 8x − 3 = 29, what is x? (a) 3 (b) 32 (c) 4 (d) 5
  33. 33.If 3x + 23 = 62, what is x? (a) 14 (b) 39 (c) 12 (d) 13
  34. 34.If x/4 + 6 = 13, what is x? (a) 7 (b) 28 (c) 76 (d) 46
  35. 35.If 2x − 6 = 2, what is x? (a) 5 (b) 4 (c) 8 (d) 3
  36. 36.If x/2 + 15 = 18, what is x? (a) 21 (b) 6 (c) 66 (d) 3
  37. 37.If 3x + 4 = 10, what is x? (a) 2 (b) 6 (c) 1 (d) 3
  38. 38.If x/2 + 1 = 4, what is x? (a) 3 (b) 10 (c) 7 (d) 6
  39. 39.If x/2 + 3 = 14, what is x? (a) 34 (b) 22 (c) 25 (d) 11
  40. 40.If 2x − 9 = 5, what is x? (a) 14 (b) 6 (c) 8 (d) 7

Answer key

  1. 10
  2. 13
  3. 9
  4. 9
  5. 15
  6. 6
  7. 13
  8. 54
  9. 12
  10. 15
  11. 9
  12. 11
  13. 12
  14. 8
  15. 44
  16. 7
  17. 7
  18. 9
  19. 5
  20. 16
  21. 12
  22. 7
  23. 3
  24. 33
  25. 9
  26. 4
  27. 11
  28. 4
  29. 10
  30. 4
  31. 7
  32. 4
  33. 13
  34. 28
  35. 4
  36. 6
  37. 2
  38. 6
  39. 22
  40. 7

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