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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 923 · 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 8x − 46 = 2, what is x? (a) 5 (b) 6 (c) 48 (d) 7
  2. 2.If x/2 + 4 = 15, what is x? (a) 26 (b) 22 (c) 11 (d) 38
  3. 3.If 5x + 25 = 85, what is x? (a) 22 (b) 13 (c) 12 (d) 60
  4. 4.If 3x + 3 = 2x + 6, what is x? (a) 3 (b) 4 (c) 9 (d) 5
  5. 5.If x/5 + 13 = 21, what is x? (a) 40 (b) 170 (c) 92 (d) 8
  6. 6.If 3x − 9 = 30, what is x? (a) 39 (b) 7 (c) 13 (d) 14
  7. 7.If 3x − 16 = 8, what is x? (a) 24 (b) 9 (c) 7 (d) 8
  8. 8.If 8x + 19 = 5x + 46, what is x? (a) 10 (b) 8 (c) 11 (d) 9
  9. 9.If 6x − 18 = 42, what is x? (a) 11 (b) 10 (c) 60 (d) 4
  10. 10.If 6x + 11 = 29, what is x? (a) 3 (b) 2 (c) 18 (d) 4
  11. 11.If 3x − 17 = 25, what is x? (a) 42 (b) 13 (c) 14 (d) 15
  12. 12.If 9x − 17 = 1, what is x? (a) 3 (b) 1 (c) 2 (d) 18
  13. 13.If 9x + 10 = 127, what is x? (a) 12 (b) 14 (c) 13 (d) 117
  14. 14.If x/3 + 4 = 11, what is x? (a) 45 (b) 29 (c) 21 (d) 7
  15. 15.If 6x + 8 = 86, what is x? (a) 12 (b) 14 (c) 78 (d) 13
  16. 16.If x/2 + 8 = 11, what is x? (a) 3 (b) 38 (c) 14 (d) 6
  17. 17.If 4x + 6 = 3x + 15, what is x? (a) 11 (b) 21 (c) 9 (d) 10
  18. 18.If 5x − 32 = 43, what is x? (a) 14 (b) 15 (c) 75 (d) 16
  19. 19.If 3x + 11 = 2x + 18, what is x? (a) 7 (b) 8 (c) 9 (d) 29
  20. 20.If 4x + 3 = 39, what is x? (a) 10 (b) 36 (c) 8 (d) 9
  21. 21.If x/3 + 8 = 17, what is x? (a) 9 (b) 43 (c) 27 (d) 75
  22. 22.If x/6 + 8 = 18, what is x? (a) 156 (b) 10 (c) 60 (d) 100
  23. 23.If 9x + 12 = 8x + 19, what is x? (a) 7 (b) 31 (c) 8 (d) 9
  24. 24.If 5x + 27 = 62, what is x? (a) 35 (b) 7 (c) 8 (d) 6
  25. 25.If 6x − 35 = 49, what is x? (a) 84 (b) 14 (c) 15 (d) 13
  26. 26.If x/3 + 4 = 9, what is x? (a) 23 (b) 5 (c) 15 (d) 39
  27. 27.If x/3 + 1 = 13, what is x? (a) 42 (b) 36 (c) 38 (d) 12
  28. 28.If 3x + 13 = 2x + 17, what is x? (a) 30 (b) 5 (c) 4 (d) 6
  29. 29.If x/3 + 4 = 6, what is x? (a) 30 (b) 6 (c) 2 (d) 14
  30. 30.If x/2 + 4 = 12, what is x? (a) 20 (b) 16 (c) 8 (d) 32
  31. 31.If 8x − 1 = 15, what is x? (a) 3 (b) 2 (c) 16 (d) 1
  32. 32.If 6x − 6 = 36, what is x? (a) 8 (b) 42 (c) 7 (d) 5
  33. 33.If x/3 + 10 = 20, what is x? (a) 10 (b) 50 (c) 30 (d) 90
  34. 34.If 2x + 29 = 51, what is x? (a) 12 (b) 11 (c) 22 (d) 40
  35. 35.If 4x − 29 = 19, what is x? (a) 13 (b) 48 (c) 12 (d) 11
  36. 36.If 4x − 11 = 9, what is x? (a) 5 (b) 6 (c) 4 (d) 20
  37. 37.If 9x + 1 = 37, what is x? (a) 3 (b) 4 (c) 5 (d) 36
  38. 38.If 2x − 4 = 6, what is x? (a) 5 (b) 6 (c) 1 (d) 10
  39. 39.If 6x − 29 = 49, what is x? (a) 78 (b) 14 (c) 12 (d) 13
  40. 40.If 4x − 28 = 8, what is x? (a) 8 (b) 10 (c) 9 (d) 36

Answer key

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

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