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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 945 · 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 − 12 = 2, what is x? (a) 14 (b) 1 (c) 3 (d) 2
  2. 2.If x/3 + 4 = 10, what is x? (a) 6 (b) 26 (c) 42 (d) 18
  3. 3.If 7x + 9 = 4x + 15, what is x? (a) 3 (b) 4 (c) 8 (d) 2
  4. 4.If 2x + 7 = 15, what is x? (a) 8 (b) 4 (c) 5 (d) 11
  5. 5.If 4x + 10 = x + 31, what is x? (a) 7 (b) 6 (c) 9 (d) 8
  6. 6.If 5x + 17 = 92, what is x? (a) 14 (b) 16 (c) 15 (d) 75
  7. 7.If 2x − 3 = 7, what is x? (a) 2 (b) 6 (c) 5 (d) 10
  8. 8.If 5x + 12 = 37, what is x? (a) 25 (b) 6 (c) 4 (d) 5
  9. 9.If 6x + 18 = 108, what is x? (a) 90 (b) 15 (c) 21 (d) 16
  10. 10.If 4x + 7 = 43, what is x? (a) 10 (b) 36 (c) 9 (d) 8
  11. 11.If x/2 + 9 = 17, what is x? (a) 25 (b) 16 (c) 52 (d) 8
  12. 12.If 5x + 6 = x + 30, what is x? (a) 7 (b) 4 (c) 9 (d) 6
  13. 13.If 6x − 11 = 1, what is x? (a) 1 (b) 12 (c) 2 (d) 3
  14. 14.If 4x + 1 = 2x + 5, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  15. 15.If 4x + 5 = 45, what is x? (a) 10 (b) 11 (c) 40 (d) 9
  16. 16.If 5x + 1 = 2x + 16, what is x? (a) 5 (b) 6 (c) 4 (d) 7
  17. 17.If 7x + 20 = x + 32, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  18. 18.If 4x + 4 = x + 34, what is x? (a) 6 (b) 11 (c) 12 (d) 10
  19. 19.If 3x + 7 = x + 11, what is x? (a) 3 (b) 9 (c) 2 (d) 1
  20. 20.If 7x + 12 = 5x + 30, what is x? (a) 10 (b) 9 (c) 21 (d) 11
  21. 21.If 8x + 17 = 4x + 45, what is x? (a) 6 (b) 9 (c) 8 (d) 7
  22. 22.If 4x + 1 = 21, what is x? (a) 20 (b) 6 (c) 4 (d) 5
  23. 23.If 6x + 14 = 62, what is x? (a) 8 (b) 48 (c) 7 (d) 9
  24. 24.If x/5 + 11 = 17, what is x? (a) 6 (b) 140 (c) 30 (d) 74
  25. 25.If 3x + 4 = 49, what is x? (a) 14 (b) 45 (c) 15 (d) 16
  26. 26.If 8x + 15 = 6x + 37, what is x? (a) 26 (b) 13 (c) 11 (d) 12
  27. 27.If 6x + 14 = x + 39, what is x? (a) 4 (b) 5 (c) 6 (d) 7
  28. 28.If 6x + 11 = 41, what is x? (a) 5 (b) 30 (c) 6 (d) 4
  29. 29.If x/3 + 15 = 24, what is x? (a) 117 (b) 9 (c) 57 (d) 27
  30. 30.If 6x − 3 = 75, what is x? (a) 14 (b) 13 (c) 78 (d) 12
  31. 31.If x/2 + 1 = 10, what is x? (a) 18 (b) 9 (c) 19 (d) 22
  32. 32.If 9x + 9 = 7x + 11, what is x? (a) 3 (b) 1 (c) 2 (d) 10
  33. 33.If 3x + 25 = 52, what is x? (a) 27 (b) 9 (c) 10 (d) 8
  34. 34.If 9x − 10 = 17, what is x? (a) 2 (b) 4 (c) 27 (d) 3
  35. 35.If 6x + 7 = 73, what is x? (a) 66 (b) 11 (c) 12 (d) 10
  36. 36.If x/2 + 7 = 17, what is x? (a) 20 (b) 10 (c) 48 (d) 27
  37. 37.If 3x − 17 = 22, what is x? (a) 12 (b) 39 (c) 13 (d) 14
  38. 38.If x/6 + 9 = 21, what is x? (a) 12 (b) 117 (c) 72 (d) 180
  39. 39.If 8x + 1 = 121, what is x? (a) 120 (b) 16 (c) 14 (d) 15
  40. 40.If 4x − 3 = 53, what is x? (a) 56 (b) 13 (c) 15 (d) 14

Answer key

  1. 2
  2. 18
  3. 2
  4. 4
  5. 7
  6. 15
  7. 5
  8. 5
  9. 15
  10. 9
  11. 16
  12. 6
  13. 2
  14. 2
  15. 10
  16. 5
  17. 2
  18. 10
  19. 2
  20. 9
  21. 7
  22. 5
  23. 8
  24. 30
  25. 15
  26. 11
  27. 5
  28. 5
  29. 27
  30. 13
  31. 18
  32. 1
  33. 9
  34. 3
  35. 11
  36. 20
  37. 13
  38. 72
  39. 15
  40. 14

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