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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 911 · 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 4x + 10 = 2x + 14, what is x? (a) 12 (b) 2 (c) 4 (d) 3
  2. 2.If 8x − 26 = 22, what is x? (a) 5 (b) 6 (c) 7 (d) 48
  3. 3.If 3x − 43 = 2, what is x? (a) 16 (b) 14 (c) 15 (d) 45
  4. 4.If 4x − 9 = 7, what is x? (a) 4 (b) 3 (c) 16 (d) 5
  5. 5.If x/3 + 1 = 6, what is x? (a) 21 (b) 15 (c) 5 (d) 17
  6. 6.If x/5 + 14 = 17, what is x? (a) 155 (b) 3 (c) 15 (d) 71
  7. 7.If 7x − 23 = 19, what is x? (a) 42 (b) 5 (c) 7 (d) 6
  8. 8.If 9x − 32 = 76, what is x? (a) 13 (b) 108 (c) 11 (d) 12
  9. 9.If 3x + 6 = 2x + 12, what is x? (a) 8 (b) 7 (c) 6 (d) 18
  10. 10.If x/6 + 4 = 8, what is x? (a) 72 (b) 44 (c) 4 (d) 24
  11. 11.If 5x + 24 = 39, what is x? (a) 2 (b) 4 (c) 15 (d) 3
  12. 12.If 9x + 29 = 110, what is x? (a) 81 (b) 8 (c) 10 (d) 9
  13. 13.If 7x + 9 = 5x + 25, what is x? (a) 10 (b) 8 (c) 17 (d) 9
  14. 14.If 5x + 13 = 2x + 43, what is x? (a) 10 (b) 11 (c) 12 (d) 9
  15. 15.If x/3 + 9 = 20, what is x? (a) 51 (b) 11 (c) 33 (d) 87
  16. 16.If 2x + 13 = 37, what is x? (a) 12 (b) 13 (c) 25 (d) 24
  17. 17.If x/2 + 5 = 7, what is x? (a) 24 (b) 2 (c) 9 (d) 4
  18. 18.If 9x + 24 = 51, what is x? (a) 27 (b) 3 (c) 2 (d) 4
  19. 19.If x/2 + 14 = 16, what is x? (a) 60 (b) 2 (c) 4 (d) 18
  20. 20.If 8x + 6 = 2x + 48, what is x? (a) 7 (b) 9 (c) 6 (d) 8
  21. 21.If 5x + 22 = 57, what is x? (a) 35 (b) 8 (c) 7 (d) 6
  22. 22.If 7x + 18 = 4x + 51, what is x? (a) 11 (b) 3 (c) 23 (d) 12
  23. 23.If 6x + 13 = 31, what is x? (a) 18 (b) 4 (c) 2 (d) 3
  24. 24.If 5x + 12 = 22, what is x? (a) 3 (b) 2 (c) 1 (d) 10
  25. 25.If 7x − 41 = 50, what is x? (a) 91 (b) 12 (c) 14 (d) 13
  26. 26.If 4x + 13 = 25, what is x? (a) 2 (b) 4 (c) 12 (d) 3
  27. 27.If 7x + 20 = x + 92, what is x? (a) 9 (b) 13 (c) 12 (d) 14
  28. 28.If 6x − 1 = 23, what is x? (a) 5 (b) 24 (c) 4 (d) 3
  29. 29.If x/4 + 6 = 17, what is x? (a) 92 (b) 62 (c) 44 (d) 11
  30. 30.If x/6 + 6 = 16, what is x? (a) 10 (b) 132 (c) 90 (d) 60
  31. 31.If 9x + 29 = 128, what is x? (a) 99 (b) 12 (c) 10 (d) 11
  32. 32.If 6x − 38 = 4, what is x? (a) 8 (b) 6 (c) 42 (d) 7
  33. 33.If x/2 + 8 = 13, what is x? (a) 5 (b) 18 (c) 10 (d) 42
  34. 34.If 8x + 11 = 107, what is x? (a) 11 (b) 96 (c) 13 (d) 12
  35. 35.If 6x + 3 = 27, what is x? (a) 5 (b) 24 (c) 3 (d) 4
  36. 36.If 6x − 41 = 25, what is x? (a) 10 (b) 12 (c) 66 (d) 11
  37. 37.If 7x + 4 = 18, what is x? (a) 2 (b) 3 (c) 14 (d) 1
  38. 38.If 3x − 3 = 6, what is x? (a) 3 (b) 1 (c) 4 (d) 9
  39. 39.If 2x + 23 = 35, what is x? (a) 29 (b) 6 (c) 7 (d) 12
  40. 40.If 6x + 11 = 59, what is x? (a) 7 (b) 48 (c) 9 (d) 8

Answer key

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

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