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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 904 · 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 8x + 15 = 7x + 27, what is x? (a) 14 (b) 42 (c) 13 (d) 12
  2. 2.If 6x + 7 = 91, what is x? (a) 13 (b) 84 (c) 15 (d) 14
  3. 3.If 7x + 15 = 78, what is x? (a) 63 (b) 10 (c) 9 (d) 8
  4. 4.If x/2 + 7 = 15, what is x? (a) 8 (b) 16 (c) 44 (d) 23
  5. 5.If 3x − 2 = 34, what is x? (a) 13 (b) 12 (c) 36 (d) 11
  6. 6.If 7x + 12 = 5x + 16, what is x? (a) 14 (b) 3 (c) 4 (d) 2
  7. 7.If 5x + 7 = 62, what is x? (a) 55 (b) 10 (c) 11 (d) 12
  8. 8.If 9x + 24 = 78, what is x? (a) 5 (b) 54 (c) 6 (d) 7
  9. 9.If 7x + 3 = 4x + 12, what is x? (a) 3 (b) 2 (c) 5 (d) 4
  10. 10.If 7x + 19 = 2x + 59, what is x? (a) 10 (b) 9 (c) 8 (d) 7
  11. 11.If 6x + 11 = 65, what is x? (a) 9 (b) 10 (c) 54 (d) 8
  12. 12.If 5x + 2 = 52, what is x? (a) 11 (b) 9 (c) 10 (d) 50
  13. 13.If x/2 + 4 = 6, what is x? (a) 4 (b) 2 (c) 8 (d) 20
  14. 14.If 9x + 19 = 2x + 54, what is x? (a) 6 (b) 4 (c) 7 (d) 5
  15. 15.If 9x + 6 = 24, what is x? (a) 18 (b) 2 (c) 3 (d) 1
  16. 16.If 7x + 21 = 112, what is x? (a) 14 (b) 91 (c) 13 (d) 19
  17. 17.If x/4 + 13 = 24, what is x? (a) 11 (b) 148 (c) 44 (d) 83
  18. 18.If 6x + 14 = 68, what is x? (a) 8 (b) 54 (c) 9 (d) 10
  19. 19.If x/5 + 6 = 9, what is x? (a) 39 (b) 75 (c) 3 (d) 15
  20. 20.If 9x − 8 = 118, what is x? (a) 126 (b) 15 (c) 13 (d) 14
  21. 21.If 9x + 3 = x + 11, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  22. 22.If 2x + 27 = 45, what is x? (a) 36 (b) 9 (c) 10 (d) 18
  23. 23.If 3x + 14 = x + 18, what is x? (a) 3 (b) 16 (c) 1 (d) 2
  24. 24.If x/2 + 14 = 26, what is x? (a) 12 (b) 38 (c) 80 (d) 24
  25. 25.If 5x − 49 = 11, what is x? (a) 12 (b) 11 (c) 13 (d) 60
  26. 26.If 6x + 12 = 5x + 16, what is x? (a) 4 (b) 5 (c) 6 (d) 28
  27. 27.If 9x − 10 = 89, what is x? (a) 99 (b) 11 (c) 12 (d) 10
  28. 28.If 4x + 12 = x + 39, what is x? (a) 11 (b) 17 (c) 10 (d) 9
  29. 29.If 7x + 2 = 51, what is x? (a) 7 (b) 6 (c) 49 (d) 8
  30. 30.If 2x + 1 = 9, what is x? (a) 4 (b) 3 (c) 8 (d) 5
  31. 31.If x/5 + 8 = 12, what is x? (a) 4 (b) 52 (c) 100 (d) 20
  32. 32.If x/3 + 1 = 8, what is x? (a) 23 (b) 21 (c) 27 (d) 7
  33. 33.If 9x − 32 = 76, what is x? (a) 108 (b) 11 (c) 13 (d) 12
  34. 34.If 9x + 18 = 81, what is x? (a) 11 (b) 63 (c) 7 (d) 8
  35. 35.If 4x + 15 = 39, what is x? (a) 7 (b) 5 (c) 6 (d) 24
  36. 36.If x/6 + 14 = 25, what is x? (a) 11 (b) 66 (c) 136 (d) 234
  37. 37.If 9x + 11 = 3x + 59, what is x? (a) 10 (b) 9 (c) 8 (d) 4
  38. 38.If 7x − 13 = 8, what is x? (a) 4 (b) 21 (c) 3 (d) 2
  39. 39.If 3x + 11 = x + 23, what is x? (a) 3 (b) 17 (c) 7 (d) 6
  40. 40.If 2x − 2 = 2, what is x? (a) 1 (b) 3 (c) 2 (d) 4

Answer key

  1. 12
  2. 14
  3. 9
  4. 16
  5. 12
  6. 2
  7. 11
  8. 6
  9. 3
  10. 8
  11. 9
  12. 10
  13. 4
  14. 5
  15. 2
  16. 13
  17. 44
  18. 9
  19. 15
  20. 14
  21. 1
  22. 9
  23. 2
  24. 24
  25. 12
  26. 4
  27. 11
  28. 9
  29. 7
  30. 4
  31. 20
  32. 21
  33. 12
  34. 7
  35. 6
  36. 66
  37. 8
  38. 3
  39. 6
  40. 2

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