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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 996 · 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 + 26 = 92, what is x? (a) 66 (b) 10 (c) 11 (d) 12
  2. 2.If 9x + 6 = 2x + 90, what is x? (a) 12 (b) 13 (c) 11 (d) 14
  3. 3.If 7x − 81 = 24, what is x? (a) 105 (b) 15 (c) 16 (d) 14
  4. 4.If x/2 + 4 = 15, what is x? (a) 26 (b) 11 (c) 22 (d) 38
  5. 5.If 2x + 17 = 45, what is x? (a) 14 (b) 31 (c) 15 (d) 28
  6. 6.If 8x − 32 = 24, what is x? (a) 56 (b) 7 (c) 6 (d) 8
  7. 7.If x/2 + 9 = 17, what is x? (a) 8 (b) 52 (c) 25 (d) 16
  8. 8.If 2x − 6 = 6, what is x? (a) 5 (b) 12 (c) 6 (d) 7
  9. 9.If x/6 + 4 = 8, what is x? (a) 72 (b) 24 (c) 4 (d) 44
  10. 10.If 8x + 22 = 134, what is x? (a) 13 (b) 14 (c) 15 (d) 112
  11. 11.If 7x + 6 = 6x + 14, what is x? (a) 8 (b) 9 (c) 20 (d) 10
  12. 12.If 6x + 4 = 4x + 26, what is x? (a) 15 (b) 13 (c) 11 (d) 12
  13. 13.If 6x − 23 = 61, what is x? (a) 13 (b) 14 (c) 84 (d) 15
  14. 14.If 9x − 7 = 11, what is x? (a) 3 (b) 18 (c) 1 (d) 2
  15. 15.If 2x − 17 = 9, what is x? (a) 26 (b) 13 (c) 14 (d) 12
  16. 16.If 2x − 6 = 4, what is x? (a) 4 (b) 10 (c) 6 (d) 5
  17. 17.If 8x − 22 = 18, what is x? (a) 40 (b) 6 (c) 5 (d) 4
  18. 18.If 7x − 12 = 2, what is x? (a) 1 (b) 14 (c) 2 (d) 3
  19. 19.If 5x + 14 = 3x + 28, what is x? (a) 8 (b) 9 (c) 7 (d) 21
  20. 20.If x/2 + 4 = 8, what is x? (a) 24 (b) 4 (c) 12 (d) 8
  21. 21.If 4x − 3 = 57, what is x? (a) 15 (b) 14 (c) 60 (d) 16
  22. 22.If 2x + 27 = 51, what is x? (a) 13 (b) 12 (c) 24 (d) 39
  23. 23.If 9x + 27 = 45, what is x? (a) 2 (b) 3 (c) 18 (d) 8
  24. 24.If x/5 + 8 = 17, what is x? (a) 77 (b) 9 (c) 45 (d) 125
  25. 25.If 6x − 20 = 4, what is x? (a) 24 (b) 4 (c) 5 (d) 3
  26. 26.If x/2 + 12 = 24, what is x? (a) 24 (b) 36 (c) 72 (d) 12
  27. 27.If 5x + 21 = 76, what is x? (a) 11 (b) 10 (c) 55 (d) 12
  28. 28.If 7x − 18 = 3, what is x? (a) 2 (b) 4 (c) 3 (d) 21
  29. 29.If 5x + 6 = 31, what is x? (a) 4 (b) 6 (c) 5 (d) 25
  30. 30.If 7x + 12 = 5x + 16, what is x? (a) 3 (b) 4 (c) 14 (d) 2
  31. 31.If 4x − 54 = 6, what is x? (a) 16 (b) 14 (c) 60 (d) 15
  32. 32.If x/2 + 5 = 17, what is x? (a) 29 (b) 12 (c) 44 (d) 24
  33. 33.If 9x − 60 = 30, what is x? (a) 10 (b) 9 (c) 90 (d) 11
  34. 34.If x/4 + 2 = 4, what is x? (a) 24 (b) 8 (c) 14 (d) 2
  35. 35.If x/6 + 7 = 17, what is x? (a) 144 (b) 10 (c) 60 (d) 95
  36. 36.If 9x + 6 = 96, what is x? (a) 90 (b) 10 (c) 11 (d) 9
  37. 37.If x/5 + 4 = 8, what is x? (a) 36 (b) 60 (c) 20 (d) 4
  38. 38.If x/2 + 13 = 16, what is x? (a) 6 (b) 19 (c) 58 (d) 3
  39. 39.If 8x − 3 = 29, what is x? (a) 5 (b) 3 (c) 32 (d) 4
  40. 40.If 8x + 25 = 97, what is x? (a) 8 (b) 9 (c) 10 (d) 72

Answer key

  1. 11
  2. 12
  3. 15
  4. 22
  5. 14
  6. 7
  7. 16
  8. 6
  9. 24
  10. 14
  11. 8
  12. 11
  13. 14
  14. 2
  15. 13
  16. 5
  17. 5
  18. 2
  19. 7
  20. 8
  21. 15
  22. 12
  23. 2
  24. 45
  25. 4
  26. 24
  27. 11
  28. 3
  29. 5
  30. 2
  31. 15
  32. 24
  33. 10
  34. 8
  35. 60
  36. 10
  37. 20
  38. 6
  39. 4
  40. 9

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