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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 849 · 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/3 + 8 = 12, what is x? (a) 12 (b) 60 (c) 4 (d) 28
  2. 2.If 5x + 2 = 27, what is x? (a) 25 (b) 4 (c) 5 (d) 6
  3. 3.If 9x − 54 = 63, what is x? (a) 13 (b) 117 (c) 1 (d) 14
  4. 4.If x/5 + 1 = 13, what is x? (a) 12 (b) 60 (c) 70 (d) 64
  5. 5.If x/3 + 4 = 9, what is x? (a) 15 (b) 39 (c) 23 (d) 5
  6. 6.If 2x − 22 = 6, what is x? (a) 15 (b) 28 (c) 13 (d) 14
  7. 7.If 3x + 11 = 35, what is x? (a) 24 (b) 7 (c) 9 (d) 8
  8. 8.If 3x + 12 = x + 16, what is x? (a) 3 (b) 2 (c) 1 (d) 14
  9. 9.If x/2 + 7 = 9, what is x? (a) 2 (b) 4 (c) 11 (d) 32
  10. 10.If 9x + 18 = 153, what is x? (a) 15 (b) 19 (c) 16 (d) 135
  11. 11.If 9x + 9 = 54, what is x? (a) 45 (b) 5 (c) 6 (d) 7
  12. 12.If 7x + 15 = 120, what is x? (a) 15 (b) 14 (c) 105 (d) 16
  13. 13.If 3x − 43 = 2, what is x? (a) 16 (b) 14 (c) 45 (d) 15
  14. 14.If x/4 + 6 = 11, what is x? (a) 5 (b) 68 (c) 38 (d) 20
  15. 15.If 5x − 8 = 2, what is x? (a) 2 (b) 3 (c) 1 (d) 10
  16. 16.If 3x − 5 = 1, what is x? (a) 1 (b) 2 (c) 6 (d) 3
  17. 17.If 3x − 25 = 5, what is x? (a) 9 (b) 30 (c) 10 (d) 11
  18. 18.If 4x + 15 = 3x + 16, what is x? (a) 2 (b) 1 (c) 3 (d) 31
  19. 19.If 3x + 1 = 25, what is x? (a) 8 (b) 24 (c) 9 (d) 7
  20. 20.If 7x − 3 = 25, what is x? (a) 4 (b) 28 (c) 5 (d) 3
  21. 21.If x/2 + 7 = 19, what is x? (a) 52 (b) 24 (c) 31 (d) 12
  22. 22.If 8x + 29 = 93, what is x? (a) 7 (b) 64 (c) 9 (d) 8
  23. 23.If x/6 + 5 = 17, what is x? (a) 72 (b) 132 (c) 97 (d) 12
  24. 24.If 9x + 6 = 60, what is x? (a) 5 (b) 6 (c) 7 (d) 54
  25. 25.If 6x + 30 = 90, what is x? (a) 60 (b) 20 (c) 11 (d) 10
  26. 26.If 5x − 4 = 11, what is x? (a) 2 (b) 15 (c) 4 (d) 3
  27. 27.If 9x − 52 = 29, what is x? (a) 10 (b) 81 (c) 8 (d) 9
  28. 28.If x/4 + 2 = 13, what is x? (a) 11 (b) 50 (c) 60 (d) 44
  29. 29.If 9x + 11 = 3x + 83, what is x? (a) 14 (b) 6 (c) 12 (d) 13
  30. 30.If 9x − 30 = 96, what is x? (a) 15 (b) 126 (c) 13 (d) 14
  31. 31.If 5x − 51 = 9, what is x? (a) 12 (b) 60 (c) 13 (d) 11
  32. 32.If x/5 + 13 = 16, what is x? (a) 67 (b) 15 (c) 3 (d) 145
  33. 33.If 4x + 20 = x + 29, what is x? (a) 3 (b) 4 (c) 5 (d) 2
  34. 34.If x/4 + 2 = 7, what is x? (a) 26 (b) 20 (c) 36 (d) 5
  35. 35.If 2x + 8 = 28, what is x? (a) 11 (b) 20 (c) 10 (d) 18
  36. 36.If 3x − 14 = 1, what is x? (a) 6 (b) 15 (c) 4 (d) 5
  37. 37.If 2x + 11 = 33, what is x? (a) 22 (b) 10 (c) 12 (d) 11
  38. 38.If 6x + 3 = 15, what is x? (a) 3 (b) 1 (c) 2 (d) 12
  39. 39.If 9x + 10 = 8x + 15, what is x? (a) 25 (b) 6 (c) 7 (d) 5
  40. 40.If 3x − 32 = 13, what is x? (a) 14 (b) 15 (c) 16 (d) 45

Answer key

  1. 12
  2. 5
  3. 13
  4. 60
  5. 15
  6. 14
  7. 8
  8. 2
  9. 4
  10. 15
  11. 5
  12. 15
  13. 15
  14. 20
  15. 2
  16. 2
  17. 10
  18. 1
  19. 8
  20. 4
  21. 24
  22. 8
  23. 72
  24. 6
  25. 10
  26. 3
  27. 9
  28. 44
  29. 12
  30. 14
  31. 12
  32. 15
  33. 3
  34. 20
  35. 10
  36. 5
  37. 11
  38. 2
  39. 5
  40. 15

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