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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 978 · 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 6x − 46 = 14, what is x? (a) 9 (b) 60 (c) 11 (d) 10
  2. 2.If 8x + 3 = x + 45, what is x? (a) 8 (b) 7 (c) 6 (d) 5
  3. 3.If 2x − 15 = 3, what is x? (a) 9 (b) 10 (c) 8 (d) 18
  4. 4.If 9x − 9 = 18, what is x? (a) 1 (b) 3 (c) 4 (d) 27
  5. 5.If x/3 + 1 = 4, what is x? (a) 15 (b) 9 (c) 3 (d) 11
  6. 6.If 8x + 5 = x + 89, what is x? (a) 13 (b) 11 (c) 12 (d) 14
  7. 7.If 3x + 19 = 46, what is x? (a) 10 (b) 27 (c) 8 (d) 9
  8. 8.If x/2 + 6 = 11, what is x? (a) 34 (b) 5 (c) 16 (d) 10
  9. 9.If 8x − 12 = 36, what is x? (a) 48 (b) 3 (c) 7 (d) 6
  10. 10.If 7x + 4 = 4x + 7, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  11. 11.If x/6 + 9 = 19, what is x? (a) 60 (b) 168 (c) 105 (d) 10
  12. 12.If 4x + 19 = 75, what is x? (a) 15 (b) 13 (c) 56 (d) 14
  13. 13.If 8x + 7 = 71, what is x? (a) 64 (b) 7 (c) 8 (d) 9
  14. 14.If 4x + 5 = x + 20, what is x? (a) 6 (b) 5 (c) 3 (d) 7
  15. 15.If x/3 + 2 = 4, what is x? (a) 2 (b) 10 (c) 6 (d) 18
  16. 16.If 2x − 15 = 9, what is x? (a) 11 (b) 24 (c) 12 (d) 13
  17. 17.If 5x − 7 = 13, what is x? (a) 3 (b) 5 (c) 20 (d) 4
  18. 18.If x/2 + 2 = 14, what is x? (a) 24 (b) 12 (c) 32 (d) 26
  19. 19.If 4x − 19 = 37, what is x? (a) 56 (b) 13 (c) 14 (d) 15
  20. 20.If x/3 + 1 = 5, what is x? (a) 4 (b) 14 (c) 18 (d) 12
  21. 21.If 5x − 55 = 5, what is x? (a) 11 (b) 60 (c) 13 (d) 12
  22. 22.If 8x + 18 = 2x + 24, what is x? (a) 7 (b) 3 (c) 1 (d) 2
  23. 23.If 8x + 17 = 65, what is x? (a) 48 (b) 7 (c) 6 (d) 5
  24. 24.If 4x + 13 = x + 40, what is x? (a) 8 (b) 9 (c) 11 (d) 10
  25. 25.If x/5 + 6 = 10, what is x? (a) 20 (b) 44 (c) 4 (d) 80
  26. 26.If 8x + 6 = 6x + 12, what is x? (a) 3 (b) 4 (c) 9 (d) 5
  27. 27.If x/3 + 9 = 20, what is x? (a) 33 (b) 87 (c) 51 (d) 11
  28. 28.If 6x + 2 = 2x + 22, what is x? (a) 6 (b) 7 (c) 4 (d) 5
  29. 29.If 9x + 9 = 126, what is x? (a) 14 (b) 117 (c) 13 (d) 15
  30. 30.If 3x − 17 = 7, what is x? (a) 7 (b) 9 (c) 24 (d) 8
  31. 31.If 7x + 21 = 70, what is x? (a) 13 (b) 49 (c) 8 (d) 7
  32. 32.If x/2 + 10 = 14, what is x? (a) 48 (b) 8 (c) 18 (d) 4
  33. 33.If x/3 + 14 = 26, what is x? (a) 120 (b) 64 (c) 12 (d) 36
  34. 34.If 4x + 3 = x + 9, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  35. 35.If 6x + 12 = 2x + 48, what is x? (a) 15 (b) 10 (c) 11 (d) 9
  36. 36.If 6x + 6 = 5x + 16, what is x? (a) 11 (b) 12 (c) 10 (d) 22
  37. 37.If 3x + 12 = x + 26, what is x? (a) 8 (b) 9 (c) 19 (d) 7
  38. 38.If 9x + 12 = 6x + 15, what is x? (a) 1 (b) 3 (c) 2 (d) 9
  39. 39.If 9x + 14 = 7x + 24, what is x? (a) 19 (b) 5 (c) 7 (d) 6
  40. 40.If 8x − 51 = 5, what is x? (a) 56 (b) 7 (c) 8 (d) 6

Answer key

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

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