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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 865 · 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 + 27 = 107, what is x? (a) 11 (b) 9 (c) 10 (d) 80
  2. 2.If 2x + 20 = 42, what is x? (a) 22 (b) 31 (c) 11 (d) 12
  3. 3.If 9x + 27 = 153, what is x? (a) 20 (b) 15 (c) 126 (d) 14
  4. 4.If 6x + 26 = 86, what is x? (a) 11 (b) 60 (c) 10 (d) 9
  5. 5.If 8x − 22 = 50, what is x? (a) 72 (b) 9 (c) 10 (d) 8
  6. 6.If 9x + 2 = 137, what is x? (a) 135 (b) 16 (c) 15 (d) 14
  7. 7.If 9x + 21 = 156, what is x? (a) 16 (b) 135 (c) 15 (d) 14
  8. 8.If 5x + 8 = 38, what is x? (a) 5 (b) 30 (c) 6 (d) 7
  9. 9.If x/3 + 8 = 17, what is x? (a) 27 (b) 75 (c) 9 (d) 43
  10. 10.If 2x + 28 = 32, what is x? (a) 4 (b) 3 (c) 30 (d) 2
  11. 11.If 6x + 14 = 2x + 62, what is x? (a) 6 (b) 19 (c) 13 (d) 12
  12. 12.If 2x − 4 = 6, what is x? (a) 10 (b) 6 (c) 5 (d) 1
  13. 13.If 9x + 2 = 8x + 5, what is x? (a) 3 (b) 5 (c) 7 (d) 4
  14. 14.If 2x + 2 = 18, what is x? (a) 10 (b) 9 (c) 16 (d) 8
  15. 15.If 5x + 19 = 3x + 25, what is x? (a) 22 (b) 3 (c) 5 (d) 4
  16. 16.If 5x + 20 = 35, what is x? (a) 11 (b) 3 (c) 15 (d) 4
  17. 17.If 3x + 7 = x + 15, what is x? (a) 5 (b) 2 (c) 11 (d) 4
  18. 18.If x/2 + 4 = 12, what is x? (a) 20 (b) 8 (c) 32 (d) 16
  19. 19.If 5x + 30 = 40, what is x? (a) 3 (b) 10 (c) 14 (d) 2
  20. 20.If 2x + 7 = 21, what is x? (a) 14 (b) 7 (c) 6 (d) 8
  21. 21.If 9x + 2 = 47, what is x? (a) 45 (b) 4 (c) 6 (d) 5
  22. 22.If 3x + 19 = 25, what is x? (a) 6 (b) 3 (c) 2 (d) 1
  23. 23.If 5x + 14 = 44, what is x? (a) 30 (b) 5 (c) 6 (d) 7
  24. 24.If x/6 + 3 = 7, what is x? (a) 60 (b) 24 (c) 4 (d) 39
  25. 25.If 9x + 19 = x + 75, what is x? (a) 9 (b) 6 (c) 7 (d) 8
  26. 26.If 2x + 18 = 36, what is x? (a) 18 (b) 9 (c) 27 (d) 10
  27. 27.If 8x + 23 = 71, what is x? (a) 48 (b) 7 (c) 5 (d) 6
  28. 28.If 7x − 32 = 45, what is x? (a) 10 (b) 12 (c) 11 (d) 77
  29. 29.If 2x + 9 = 39, what is x? (a) 15 (b) 24 (c) 30 (d) 16
  30. 30.If 9x + 17 = 80, what is x? (a) 8 (b) 63 (c) 6 (d) 7
  31. 31.If 6x − 17 = 25, what is x? (a) 42 (b) 6 (c) 8 (d) 7
  32. 32.If x/3 + 15 = 27, what is x? (a) 66 (b) 36 (c) 126 (d) 12
  33. 33.If 5x − 4 = 66, what is x? (a) 15 (b) 14 (c) 70 (d) 13
  34. 34.If x/6 + 15 = 22, what is x? (a) 7 (b) 117 (c) 222 (d) 42
  35. 35.If 3x + 18 = 2x + 19, what is x? (a) 37 (b) 1 (c) 3 (d) 2
  36. 36.If 7x − 47 = 9, what is x? (a) 8 (b) 7 (c) 56 (d) 9
  37. 37.If 4x + 20 = 2x + 26, what is x? (a) 1 (b) 3 (c) 4 (d) 23
  38. 38.If x/2 + 13 = 17, what is x? (a) 21 (b) 4 (c) 60 (d) 8
  39. 39.If x/3 + 9 = 17, what is x? (a) 78 (b) 42 (c) 8 (d) 24
  40. 40.If x/2 + 6 = 18, what is x? (a) 12 (b) 48 (c) 24 (d) 30

Answer key

  1. 10
  2. 11
  3. 14
  4. 10
  5. 9
  6. 15
  7. 15
  8. 6
  9. 27
  10. 2
  11. 12
  12. 5
  13. 3
  14. 8
  15. 3
  16. 3
  17. 4
  18. 16
  19. 2
  20. 7
  21. 5
  22. 2
  23. 6
  24. 24
  25. 7
  26. 9
  27. 6
  28. 11
  29. 15
  30. 7
  31. 7
  32. 36
  33. 14
  34. 42
  35. 1
  36. 8
  37. 3
  38. 8
  39. 24
  40. 24

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