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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 863 · 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/2 + 14 = 23, what is x? (a) 18 (b) 74 (c) 9 (d) 32
  2. 2.If 5x + 1 = x + 25, what is x? (a) 4 (b) 8 (c) 7 (d) 6
  3. 3.If x/3 + 10 = 20, what is x? (a) 50 (b) 90 (c) 30 (d) 10
  4. 4.If 4x + 7 = 3x + 10, what is x? (a) 17 (b) 5 (c) 3 (d) 4
  5. 5.If 4x + 14 = 3x + 16, what is x? (a) 2 (b) 4 (c) 30 (d) 3
  6. 6.If 2x − 11 = 3, what is x? (a) 8 (b) 14 (c) 6 (d) 7
  7. 7.If x/2 + 13 = 19, what is x? (a) 64 (b) 6 (c) 12 (d) 25
  8. 8.If 9x + 7 = x + 39, what is x? (a) 3 (b) 6 (c) 4 (d) 5
  9. 9.If 8x + 12 = 92, what is x? (a) 11 (b) 13 (c) 80 (d) 10
  10. 10.If 5x − 5 = 40, what is x? (a) 7 (b) 10 (c) 9 (d) 45
  11. 11.If 4x − 26 = 22, what is x? (a) 13 (b) 11 (c) 48 (d) 12
  12. 12.If x/4 + 7 = 13, what is x? (a) 45 (b) 80 (c) 6 (d) 24
  13. 13.If x/6 + 11 = 18, what is x? (a) 97 (b) 174 (c) 7 (d) 42
  14. 14.If x/2 + 12 = 15, what is x? (a) 3 (b) 54 (c) 6 (d) 18
  15. 15.If 2x + 7 = 13, what is x? (a) 6 (b) 10 (c) 3 (d) 4
  16. 16.If 9x + 8 = 6x + 17, what is x? (a) 2 (b) 3 (c) 4 (d) 5
  17. 17.If 2x − 1 = 29, what is x? (a) 15 (b) 16 (c) 30 (d) 14
  18. 18.If 9x + 25 = 106, what is x? (a) 81 (b) 9 (c) 8 (d) 10
  19. 19.If 7x + 18 = x + 66, what is x? (a) 6 (b) 8 (c) 9 (d) 14
  20. 20.If x/3 + 7 = 10, what is x? (a) 3 (b) 9 (c) 23 (d) 51
  21. 21.If 5x − 12 = 58, what is x? (a) 15 (b) 70 (c) 13 (d) 14
  22. 22.If x/4 + 1 = 9, what is x? (a) 8 (b) 40 (c) 35 (d) 32
  23. 23.If 5x + 2 = 2x + 35, what is x? (a) 13 (b) 12 (c) 11 (d) 10
  24. 24.If x/5 + 5 = 14, what is x? (a) 95 (b) 65 (c) 45 (d) 9
  25. 25.If 9x − 87 = 39, what is x? (a) 126 (b) 13 (c) 14 (d) 15
  26. 26.If 6x + 23 = 83, what is x? (a) 11 (b) 9 (c) 60 (d) 10
  27. 27.If 6x + 14 = 3x + 32, what is x? (a) 7 (b) 8 (c) 2 (d) 6
  28. 28.If 2x + 14 = 22, what is x? (a) 18 (b) 4 (c) 5 (d) 8
  29. 29.If 9x − 3 = 24, what is x? (a) 2 (b) 3 (c) 4 (d) 27
  30. 30.If x/5 + 15 = 21, what is x? (a) 180 (b) 6 (c) 30 (d) 90
  31. 31.If 6x + 20 = 98, what is x? (a) 78 (b) 14 (c) 12 (d) 13
  32. 32.If x/4 + 7 = 14, what is x? (a) 28 (b) 7 (c) 84 (d) 49
  33. 33.If 8x + 22 = 62, what is x? (a) 4 (b) 6 (c) 5 (d) 40
  34. 34.If 5x + 27 = 37, what is x? (a) 10 (b) 3 (c) 2 (d) 1
  35. 35.If 7x + 2 = 93, what is x? (a) 14 (b) 91 (c) 12 (d) 13
  36. 36.If x/4 + 5 = 9, what is x? (a) 31 (b) 56 (c) 16 (d) 4
  37. 37.If 3x − 2 = 10, what is x? (a) 5 (b) 12 (c) 4 (d) 3
  38. 38.If x/6 + 8 = 15, what is x? (a) 82 (b) 138 (c) 7 (d) 42
  39. 39.If 6x + 21 = 111, what is x? (a) 15 (b) 16 (c) 90 (d) 22
  40. 40.If x/3 + 6 = 10, what is x? (a) 4 (b) 48 (c) 12 (d) 24

Answer key

  1. 18
  2. 6
  3. 30
  4. 3
  5. 2
  6. 7
  7. 12
  8. 4
  9. 10
  10. 9
  11. 12
  12. 24
  13. 42
  14. 6
  15. 3
  16. 3
  17. 15
  18. 9
  19. 8
  20. 9
  21. 14
  22. 32
  23. 11
  24. 45
  25. 14
  26. 10
  27. 6
  28. 4
  29. 3
  30. 30
  31. 13
  32. 28
  33. 5
  34. 2
  35. 13
  36. 16
  37. 4
  38. 42
  39. 15
  40. 12

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