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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 926 · 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 x/6 + 11 = 20, what is x? (a) 9 (b) 54 (c) 109 (d) 186
  2. 2.If 7x + 11 = 5x + 17, what is x? (a) 3 (b) 4 (c) 14 (d) 5
  3. 3.If x/2 + 12 = 22, what is x? (a) 20 (b) 68 (c) 10 (d) 32
  4. 4.If x/6 + 10 = 20, what is x? (a) 110 (b) 10 (c) 180 (d) 60
  5. 5.If 8x + 8 = 2x + 74, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  6. 6.If 8x + 27 = 67, what is x? (a) 5 (b) 40 (c) 6 (d) 4
  7. 7.If x/2 + 9 = 16, what is x? (a) 23 (b) 7 (c) 14 (d) 50
  8. 8.If 9x + 20 = 3x + 86, what is x? (a) 10 (b) 11 (c) 12 (d) 13
  9. 9.If 3x + 5 = x + 23, what is x? (a) 10 (b) 14 (c) 11 (d) 9
  10. 10.If 7x + 17 = 3x + 33, what is x? (a) 3 (b) 5 (c) 4 (d) 6
  11. 11.If 7x − 17 = 67, what is x? (a) 84 (b) 12 (c) 11 (d) 13
  12. 12.If 8x − 11 = 93, what is x? (a) 104 (b) 12 (c) 14 (d) 13
  13. 13.If 9x + 29 = 83, what is x? (a) 54 (b) 7 (c) 5 (d) 6
  14. 14.If 3x − 3 = 6, what is x? (a) 1 (b) 9 (c) 4 (d) 3
  15. 15.If 9x + 28 = 55, what is x? (a) 27 (b) 2 (c) 4 (d) 3
  16. 16.If 3x + 10 = x + 24, what is x? (a) 9 (b) 8 (c) 7 (d) 17
  17. 17.If x/2 + 6 = 9, what is x? (a) 30 (b) 12 (c) 6 (d) 3
  18. 18.If 5x + 25 = 50, what is x? (a) 6 (b) 25 (c) 15 (d) 5
  19. 19.If 2x + 25 = 37, what is x? (a) 7 (b) 12 (c) 6 (d) 31
  20. 20.If 6x + 7 = 85, what is x? (a) 78 (b) 14 (c) 13 (d) 12
  21. 21.If 8x + 27 = 123, what is x? (a) 12 (b) 11 (c) 13 (d) 96
  22. 22.If 5x + 30 = 55, what is x? (a) 17 (b) 6 (c) 25 (d) 5
  23. 23.If x/2 + 4 = 13, what is x? (a) 22 (b) 9 (c) 18 (d) 34
  24. 24.If 4x + 7 = 23, what is x? (a) 5 (b) 16 (c) 4 (d) 3
  25. 25.If 3x − 41 = 1, what is x? (a) 13 (b) 15 (c) 14 (d) 42
  26. 26.If x/4 + 5 = 9, what is x? (a) 31 (b) 4 (c) 16 (d) 56
  27. 27.If 8x − 17 = 71, what is x? (a) 11 (b) 10 (c) 88 (d) 12
  28. 28.If x/4 + 2 = 12, what is x? (a) 10 (b) 56 (c) 46 (d) 40
  29. 29.If x/4 + 10 = 14, what is x? (a) 96 (b) 16 (c) 4 (d) 46
  30. 30.If 7x + 4 = 95, what is x? (a) 14 (b) 12 (c) 91 (d) 13
  31. 31.If 8x − 64 = 32, what is x? (a) 96 (b) 13 (c) 11 (d) 12
  32. 32.If 5x + 17 = 67, what is x? (a) 9 (b) 11 (c) 10 (d) 50
  33. 33.If 4x + 21 = 61, what is x? (a) 10 (b) 9 (c) 11 (d) 40
  34. 34.If x/5 + 13 = 16, what is x? (a) 145 (b) 15 (c) 67 (d) 3
  35. 35.If 5x − 60 = 10, what is x? (a) 13 (b) 14 (c) 70 (d) 15
  36. 36.If 7x + 14 = 3x + 62, what is x? (a) 14 (b) 12 (c) 13 (d) 19
  37. 37.If 3x − 15 = 12, what is x? (a) 10 (b) 8 (c) 9 (d) 27
  38. 38.If x/6 + 6 = 16, what is x? (a) 132 (b) 90 (c) 60 (d) 10
  39. 39.If 2x − 21 = 3, what is x? (a) 13 (b) 24 (c) 11 (d) 12
  40. 40.If 4x − 22 = 38, what is x? (a) 4 (b) 60 (c) 16 (d) 15

Answer key

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

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