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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 964 · 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/2 + 7 = 15, what is x? (a) 23 (b) 44 (c) 8 (d) 16
  2. 2.If 3x + 27 = 42, what is x? (a) 23 (b) 6 (c) 5 (d) 15
  3. 3.If 9x + 8 = 8x + 10, what is x? (a) 3 (b) 2 (c) 4 (d) 18
  4. 4.If 4x + 17 = 2x + 37, what is x? (a) 27 (b) 10 (c) 11 (d) 12
  5. 5.If 9x − 103 = 32, what is x? (a) 135 (b) 16 (c) 15 (d) 14
  6. 6.If 2x + 10 = 36, what is x? (a) 26 (b) 14 (c) 13 (d) 23
  7. 7.If x/4 + 2 = 4, what is x? (a) 14 (b) 24 (c) 8 (d) 2
  8. 8.If 8x + 6 = 118, what is x? (a) 15 (b) 112 (c) 14 (d) 13
  9. 9.If 9x − 26 = 82, what is x? (a) 108 (b) 12 (c) 11 (d) 13
  10. 10.If 4x + 27 = 87, what is x? (a) 15 (b) 60 (c) 16 (d) 14
  11. 11.If 6x − 24 = 24, what is x? (a) 48 (b) 7 (c) 9 (d) 8
  12. 12.If 9x + 6 = 5x + 38, what is x? (a) 11 (b) 10 (c) 8 (d) 9
  13. 13.If x/4 + 2 = 6, what is x? (a) 4 (b) 32 (c) 22 (d) 16
  14. 14.If 8x + 23 = 127, what is x? (a) 12 (b) 104 (c) 14 (d) 13
  15. 15.If 2x − 2 = 6, what is x? (a) 4 (b) 5 (c) 8 (d) 2
  16. 16.If 6x + 20 = 104, what is x? (a) 15 (b) 84 (c) 13 (d) 14
  17. 17.If 7x − 20 = 64, what is x? (a) 13 (b) 84 (c) 11 (d) 12
  18. 18.If 8x + 13 = 69, what is x? (a) 8 (b) 56 (c) 6 (d) 7
  19. 19.If 9x + 13 = 139, what is x? (a) 126 (b) 13 (c) 15 (d) 14
  20. 20.If 2x − 11 = 5, what is x? (a) 9 (b) 7 (c) 8 (d) 16
  21. 21.If 9x + 13 = 4x + 28, what is x? (a) 2 (b) 3 (c) 5 (d) 4
  22. 22.If 5x − 32 = 3, what is x? (a) 6 (b) 35 (c) 8 (d) 7
  23. 23.If 7x − 3 = 60, what is x? (a) 9 (b) 63 (c) 8 (d) 10
  24. 24.If 4x + 25 = 33, what is x? (a) 1 (b) 2 (c) 8 (d) 3
  25. 25.If 9x + 14 = 149, what is x? (a) 16 (b) 15 (c) 135 (d) 14
  26. 26.If 8x − 5 = 11, what is x? (a) 16 (b) 2 (c) 3 (d) 1
  27. 27.If 7x + 10 = 66, what is x? (a) 8 (b) 9 (c) 56 (d) 7
  28. 28.If 7x + 11 = 4x + 32, what is x? (a) 8 (b) 9 (c) 6 (d) 7
  29. 29.If 2x − 23 = 1, what is x? (a) 11 (b) 24 (c) 13 (d) 12
  30. 30.If 5x + 10 = 3x + 12, what is x? (a) 1 (b) 11 (c) 3 (d) 2
  31. 31.If 9x + 4 = 112, what is x? (a) 13 (b) 11 (c) 108 (d) 12
  32. 32.If 9x + 2 = 2x + 51, what is x? (a) 6 (b) 7 (c) 8 (d) 9
  33. 33.If 3x + 19 = 37, what is x? (a) 18 (b) 7 (c) 5 (d) 6
  34. 34.If x/6 + 6 = 16, what is x? (a) 132 (b) 10 (c) 60 (d) 90
  35. 35.If 2x + 25 = 37, what is x? (a) 31 (b) 6 (c) 7 (d) 12
  36. 36.If 2x + 30 = 58, what is x? (a) 15 (b) 14 (c) 28 (d) 44
  37. 37.If x/2 + 11 = 13, what is x? (a) 2 (b) 4 (c) 48 (d) 15
  38. 38.If x/6 + 12 = 24, what is x? (a) 72 (b) 12 (c) 216 (d) 132
  39. 39.If 9x + 29 = 56, what is x? (a) 2 (b) 27 (c) 4 (d) 3
  40. 40.If x/5 + 11 = 19, what is x? (a) 40 (b) 8 (c) 84 (d) 150

Answer key

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

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