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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 980 · 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 + 12 = 16, what is x? (a) 84 (b) 24 (c) 4 (d) 168
  2. 2.If x/6 + 8 = 12, what is x? (a) 4 (b) 24 (c) 64 (d) 120
  3. 3.If 9x + 3 = x + 67, what is x? (a) 9 (b) 7 (c) 10 (d) 8
  4. 4.If 6x + 5 = 5x + 11, what is x? (a) 7 (b) 6 (c) 8 (d) 16
  5. 5.If 7x + 3 = 3x + 39, what is x? (a) 8 (b) 10 (c) 11 (d) 9
  6. 6.If 5x + 14 = 74, what is x? (a) 60 (b) 13 (c) 12 (d) 11
  7. 7.If 5x + 27 = 77, what is x? (a) 11 (b) 10 (c) 50 (d) 9
  8. 8.If 8x + 6 = x + 69, what is x? (a) 9 (b) 10 (c) 11 (d) 7
  9. 9.If 7x + 13 = 76, what is x? (a) 9 (b) 10 (c) 63 (d) 8
  10. 10.If x/6 + 3 = 13, what is x? (a) 96 (b) 75 (c) 10 (d) 60
  11. 11.If x/3 + 14 = 16, what is x? (a) 90 (b) 2 (c) 6 (d) 34
  12. 12.If x/2 + 3 = 7, what is x? (a) 11 (b) 20 (c) 8 (d) 4
  13. 13.If 2x + 8 = 18, what is x? (a) 5 (b) 13 (c) 10 (d) 6
  14. 14.If 2x − 3 = 3, what is x? (a) 4 (b) 6 (c) 2 (d) 3
  15. 15.If 8x + 24 = 48, what is x? (a) 24 (b) 9 (c) 4 (d) 3
  16. 16.If 3x + 10 = x + 14, what is x? (a) 3 (b) 12 (c) 1 (d) 2
  17. 17.If 9x + 24 = 105, what is x? (a) 9 (b) 10 (c) 81 (d) 8
  18. 18.If 7x + 14 = 49, what is x? (a) 9 (b) 6 (c) 35 (d) 5
  19. 19.If 6x + 5 = 3x + 20, what is x? (a) 7 (b) 6 (c) 4 (d) 5
  20. 20.If 6x − 29 = 31, what is x? (a) 9 (b) 11 (c) 60 (d) 10
  21. 21.If 8x − 32 = 48, what is x? (a) 80 (b) 2 (c) 11 (d) 10
  22. 22.If 3x − 18 = 6, what is x? (a) 8 (b) 9 (c) 7 (d) 24
  23. 23.If 7x + 6 = 6x + 9, what is x? (a) 4 (b) 15 (c) 5 (d) 3
  24. 24.If 7x − 25 = 17, what is x? (a) 6 (b) 5 (c) 42 (d) 7
  25. 25.If 8x + 16 = 7x + 20, what is x? (a) 5 (b) 6 (c) 4 (d) 36
  26. 26.If x/2 + 9 = 16, what is x? (a) 23 (b) 50 (c) 7 (d) 14
  27. 27.If 6x + 17 = 3x + 20, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  28. 28.If 9x + 7 = 34, what is x? (a) 27 (b) 2 (c) 3 (d) 4
  29. 29.If 4x − 6 = 10, what is x? (a) 4 (b) 16 (c) 1 (d) 5
  30. 30.If x/3 + 15 = 25, what is x? (a) 10 (b) 60 (c) 30 (d) 120
  31. 31.If 3x + 9 = x + 13, what is x? (a) 3 (b) 1 (c) 11 (d) 2
  32. 32.If 4x + 12 = x + 15, what is x? (a) 9 (b) 3 (c) 1 (d) 2
  33. 33.If 6x + 19 = x + 59, what is x? (a) 7 (b) 10 (c) 9 (d) 8
  34. 34.If x/6 + 7 = 11, what is x? (a) 108 (b) 24 (c) 4 (d) 59
  35. 35.If 6x + 8 = 38, what is x? (a) 30 (b) 4 (c) 5 (d) 6
  36. 36.If 4x + 1 = 3x + 7, what is x? (a) 8 (b) 6 (c) 5 (d) 7
  37. 37.If 5x + 11 = x + 43, what is x? (a) 9 (b) 7 (c) 8 (d) 10
  38. 38.If x/2 + 5 = 16, what is x? (a) 11 (b) 42 (c) 27 (d) 22
  39. 39.If 6x + 25 = 85, what is x? (a) 60 (b) 11 (c) 10 (d) 9
  40. 40.If x/6 + 5 = 10, what is x? (a) 30 (b) 90 (c) 5 (d) 55

Answer key

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

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