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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 924 · 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 − 39 = 10, what is x? (a) 7 (b) 8 (c) 6 (d) 49
  2. 2.If 5x − 3 = 7, what is x? (a) 3 (b) 10 (c) 2 (d) 1
  3. 3.If 4x + 2 = 54, what is x? (a) 52 (b) 14 (c) 12 (d) 13
  4. 4.If x/5 + 7 = 14, what is x? (a) 7 (b) 63 (c) 35 (d) 105
  5. 5.If 3x − 2 = 10, what is x? (a) 4 (b) 12 (c) 3 (d) 5
  6. 6.If 5x − 10 = 35, what is x? (a) 9 (b) 10 (c) 5 (d) 45
  7. 7.If x/2 + 9 = 14, what is x? (a) 5 (b) 10 (c) 19 (d) 46
  8. 8.If 7x − 65 = 40, what is x? (a) 16 (b) 105 (c) 14 (d) 15
  9. 9.If x/6 + 5 = 9, what is x? (a) 24 (b) 84 (c) 49 (d) 4
  10. 10.If 7x + 17 = 2x + 52, what is x? (a) 8 (b) 9 (c) 7 (d) 6
  11. 11.If x/5 + 15 = 18, what is x? (a) 3 (b) 15 (c) 75 (d) 165
  12. 12.If 2x − 10 = 4, what is x? (a) 7 (b) 6 (c) 8 (d) 14
  13. 13.If 5x − 9 = 1, what is x? (a) 10 (b) 2 (c) 1 (d) 3
  14. 14.If 6x + 12 = 4x + 28, what is x? (a) 10 (b) 9 (c) 8 (d) 20
  15. 15.If 6x + 3 = 39, what is x? (a) 36 (b) 5 (c) 7 (d) 6
  16. 16.If x/4 + 10 = 18, what is x? (a) 32 (b) 8 (c) 112 (d) 62
  17. 17.If 3x + 5 = 2x + 17, what is x? (a) 22 (b) 12 (c) 14 (d) 13
  18. 18.If 9x − 68 = 49, what is x? (a) 12 (b) 13 (c) 14 (d) 117
  19. 19.If 3x + 28 = 46, what is x? (a) 6 (b) 18 (c) 7 (d) 5
  20. 20.If x/3 + 12 = 17, what is x? (a) 15 (b) 39 (c) 5 (d) 87
  21. 21.If x/6 + 4 = 7, what is x? (a) 66 (b) 18 (c) 38 (d) 3
  22. 22.If 4x + 11 = 2x + 29, what is x? (a) 20 (b) 3 (c) 9 (d) 10
  23. 23.If 9x − 63 = 45, what is x? (a) 11 (b) 13 (c) 108 (d) 12
  24. 24.If 7x − 32 = 73, what is x? (a) 105 (b) 14 (c) 16 (d) 15
  25. 25.If 3x + 8 = 20, what is x? (a) 4 (b) 12 (c) 3 (d) 5
  26. 26.If x/3 + 11 = 13, what is x? (a) 2 (b) 72 (c) 28 (d) 6
  27. 27.If x/3 + 12 = 18, what is x? (a) 90 (b) 18 (c) 6 (d) 42
  28. 28.If 2x − 4 = 6, what is x? (a) 5 (b) 10 (c) 6 (d) 1
  29. 29.If 3x + 8 = 35, what is x? (a) 8 (b) 27 (c) 10 (d) 9
  30. 30.If 3x + 14 = 2x + 18, what is x? (a) 32 (b) 5 (c) 6 (d) 4
  31. 31.If 5x + 22 = 67, what is x? (a) 10 (b) 8 (c) 9 (d) 45
  32. 32.If x/6 + 3 = 7, what is x? (a) 60 (b) 39 (c) 24 (d) 4
  33. 33.If 4x + 1 = 3x + 7, what is x? (a) 7 (b) 8 (c) 5 (d) 6
  34. 34.If 3x + 11 = 32, what is x? (a) 7 (b) 8 (c) 6 (d) 21
  35. 35.If 4x + 15 = 31, what is x? (a) 16 (b) 3 (c) 4 (d) 5
  36. 36.If 4x − 11 = 29, what is x? (a) 10 (b) 9 (c) 40 (d) 11
  37. 37.If x/5 + 8 = 18, what is x? (a) 82 (b) 50 (c) 130 (d) 10
  38. 38.If 3x − 12 = 33, what is x? (a) 45 (b) 15 (c) 7 (d) 16
  39. 39.If 7x − 20 = 43, what is x? (a) 8 (b) 9 (c) 63 (d) 10
  40. 40.If 2x + 13 = 37, what is x? (a) 24 (b) 12 (c) 13 (d) 25

Answer key

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

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