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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 940 · 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 3x + 18 = 2x + 22, what is x? (a) 40 (b) 5 (c) 4 (d) 6
  2. 2.If x/2 + 9 = 12, what is x? (a) 3 (b) 15 (c) 42 (d) 6
  3. 3.If x/5 + 13 = 20, what is x? (a) 35 (b) 87 (c) 165 (d) 7
  4. 4.If 5x + 20 = 3x + 34, what is x? (a) 8 (b) 27 (c) 9 (d) 7
  5. 5.If 6x + 4 = 5x + 7, what is x? (a) 5 (b) 11 (c) 3 (d) 4
  6. 6.If 3x + 15 = 57, what is x? (a) 14 (b) 15 (c) 42 (d) 24
  7. 7.If x/2 + 14 = 24, what is x? (a) 10 (b) 20 (c) 76 (d) 34
  8. 8.If 6x + 27 = 69, what is x? (a) 42 (b) 16 (c) 8 (d) 7
  9. 9.If 2x − 6 = 22, what is x? (a) 28 (b) 14 (c) 8 (d) 15
  10. 10.If 8x − 34 = 30, what is x? (a) 64 (b) 8 (c) 7 (d) 9
  11. 11.If 7x − 39 = 52, what is x? (a) 13 (b) 12 (c) 91 (d) 14
  12. 12.If 4x + 3 = x + 24, what is x? (a) 9 (b) 6 (c) 7 (d) 8
  13. 13.If 4x + 2 = 3x + 4, what is x? (a) 3 (b) 2 (c) 4 (d) 6
  14. 14.If 4x + 8 = 3x + 17, what is x? (a) 25 (b) 10 (c) 11 (d) 9
  15. 15.If 8x + 2 = 90, what is x? (a) 12 (b) 11 (c) 88 (d) 10
  16. 16.If 4x + 3 = x + 39, what is x? (a) 13 (b) 12 (c) 11 (d) 14
  17. 17.If 3x + 30 = 48, what is x? (a) 7 (b) 6 (c) 26 (d) 18
  18. 18.If 4x + 6 = 3x + 11, what is x? (a) 7 (b) 5 (c) 6 (d) 17
  19. 19.If 9x + 9 = 2x + 30, what is x? (a) 2 (b) 3 (c) 4 (d) 5
  20. 20.If 8x + 16 = 80, what is x? (a) 12 (b) 9 (c) 64 (d) 8
  21. 21.If 8x − 25 = 7, what is x? (a) 5 (b) 32 (c) 4 (d) 3
  22. 22.If 7x − 27 = 22, what is x? (a) 49 (b) 6 (c) 8 (d) 7
  23. 23.If 3x + 9 = 2x + 14, what is x? (a) 23 (b) 5 (c) 1 (d) 6
  24. 24.If 6x + 13 = 97, what is x? (a) 14 (b) 84 (c) 13 (d) 15
  25. 25.If x/2 + 2 = 6, what is x? (a) 10 (b) 4 (c) 16 (d) 8
  26. 26.If 9x + 11 = 146, what is x? (a) 14 (b) 16 (c) 15 (d) 135
  27. 27.If 9x + 3 = 120, what is x? (a) 117 (b) 12 (c) 13 (d) 14
  28. 28.If 4x − 6 = 2, what is x? (a) 2 (b) 1 (c) 8 (d) 3
  29. 29.If 6x + 1 = 37, what is x? (a) 5 (b) 36 (c) 7 (d) 6
  30. 30.If x/2 + 1 = 11, what is x? (a) 10 (b) 24 (c) 21 (d) 20
  31. 31.If 3x − 8 = 7, what is x? (a) 6 (b) 5 (c) 15 (d) 4
  32. 32.If 3x + 12 = x + 30, what is x? (a) 10 (b) 9 (c) 11 (d) 21
  33. 33.If x/6 + 11 = 14, what is x? (a) 3 (b) 73 (c) 18 (d) 150
  34. 34.If 3x − 6 = 6, what is x? (a) 5 (b) 4 (c) 3 (d) 12
  35. 35.If x/5 + 4 = 8, what is x? (a) 60 (b) 4 (c) 36 (d) 20
  36. 36.If 3x + 8 = x + 10, what is x? (a) 3 (b) 9 (c) 1 (d) 2
  37. 37.If 7x + 8 = 85, what is x? (a) 12 (b) 11 (c) 77 (d) 10
  38. 38.If 9x + 29 = 110, what is x? (a) 8 (b) 9 (c) 81 (d) 10
  39. 39.If x/3 + 2 = 5, what is x? (a) 13 (b) 3 (c) 21 (d) 9
  40. 40.If 9x + 30 = 66, what is x? (a) 3 (b) 5 (c) 4 (d) 36

Answer key

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

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