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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 997 · 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/4 + 8 = 15, what is x? (a) 52 (b) 28 (c) 7 (d) 92
  2. 2.If x/3 + 11 = 21, what is x? (a) 10 (b) 52 (c) 96 (d) 30
  3. 3.If 8x + 6 = 110, what is x? (a) 13 (b) 14 (c) 12 (d) 104
  4. 4.If 7x + 21 = 112, what is x? (a) 13 (b) 14 (c) 19 (d) 91
  5. 5.If 7x − 29 = 41, what is x? (a) 11 (b) 9 (c) 70 (d) 10
  6. 6.If 3x − 9 = 3, what is x? (a) 5 (b) 3 (c) 12 (d) 4
  7. 7.If x/6 + 13 = 21, what is x? (a) 8 (b) 113 (c) 48 (d) 204
  8. 8.If x/4 + 9 = 17, what is x? (a) 59 (b) 32 (c) 8 (d) 104
  9. 9.If 4x − 3 = 9, what is x? (a) 3 (b) 4 (c) 12 (d) 2
  10. 10.If x/6 + 3 = 7, what is x? (a) 60 (b) 4 (c) 39 (d) 24
  11. 11.If 5x + 18 = 4x + 21, what is x? (a) 4 (b) 39 (c) 3 (d) 5
  12. 12.If x/4 + 5 = 13, what is x? (a) 8 (b) 72 (c) 32 (d) 47
  13. 13.If x/4 + 10 = 22, what is x? (a) 12 (b) 78 (c) 128 (d) 48
  14. 14.If 2x − 3 = 7, what is x? (a) 2 (b) 6 (c) 5 (d) 10
  15. 15.If x/5 + 13 = 16, what is x? (a) 3 (b) 67 (c) 15 (d) 145
  16. 16.If x/3 + 14 = 17, what is x? (a) 9 (b) 93 (c) 3 (d) 37
  17. 17.If 8x + 23 = 87, what is x? (a) 7 (b) 64 (c) 8 (d) 9
  18. 18.If 3x + 3 = 30, what is x? (a) 9 (b) 11 (c) 10 (d) 27
  19. 19.If 2x − 20 = 6, what is x? (a) 14 (b) 13 (c) 12 (d) 26
  20. 20.If x/6 + 3 = 6, what is x? (a) 54 (b) 18 (c) 3 (d) 33
  21. 21.If 4x + 16 = 36, what is x? (a) 13 (b) 20 (c) 6 (d) 5
  22. 22.If 3x − 24 = 6, what is x? (a) 11 (b) 30 (c) 9 (d) 10
  23. 23.If 3x + 5 = 32, what is x? (a) 10 (b) 27 (c) 8 (d) 9
  24. 24.If x/4 + 2 = 7, what is x? (a) 26 (b) 20 (c) 5 (d) 36
  25. 25.If 7x + 4 = 67, what is x? (a) 10 (b) 63 (c) 8 (d) 9
  26. 26.If 6x + 2 = 92, what is x? (a) 15 (b) 90 (c) 16 (d) 14
  27. 27.If 9x + 10 = 127, what is x? (a) 13 (b) 12 (c) 117 (d) 14
  28. 28.If 5x − 35 = 10, what is x? (a) 45 (b) 10 (c) 8 (d) 9
  29. 29.If 3x − 4 = 23, what is x? (a) 8 (b) 9 (c) 10 (d) 27
  30. 30.If 5x + 1 = 76, what is x? (a) 16 (b) 14 (c) 75 (d) 15
  31. 31.If x/6 + 4 = 15, what is x? (a) 86 (b) 11 (c) 114 (d) 66
  32. 32.If 9x + 1 = x + 33, what is x? (a) 3 (b) 5 (c) 4 (d) 6
  33. 33.If 4x + 23 = 83, what is x? (a) 60 (b) 14 (c) 15 (d) 16
  34. 34.If 6x + 9 = 45, what is x? (a) 9 (b) 7 (c) 6 (d) 36
  35. 35.If x/6 + 10 = 19, what is x? (a) 9 (b) 54 (c) 104 (d) 174
  36. 36.If 6x − 23 = 1, what is x? (a) 5 (b) 24 (c) 3 (d) 4
  37. 37.If 5x + 8 = 3x + 28, what is x? (a) 12 (b) 18 (c) 10 (d) 11
  38. 38.If 3x + 13 = x + 23, what is x? (a) 7 (b) 5 (c) 18 (d) 6
  39. 39.If 3x + 22 = 52, what is x? (a) 10 (b) 11 (c) 30 (d) 9
  40. 40.If 6x + 24 = 84, what is x? (a) 11 (b) 10 (c) 60 (d) 18

Answer key

  1. 28
  2. 30
  3. 13
  4. 13
  5. 10
  6. 4
  7. 48
  8. 32
  9. 3
  10. 24
  11. 3
  12. 32
  13. 48
  14. 5
  15. 15
  16. 9
  17. 8
  18. 9
  19. 13
  20. 18
  21. 5
  22. 10
  23. 9
  24. 20
  25. 9
  26. 15
  27. 13
  28. 9
  29. 9
  30. 15
  31. 66
  32. 4
  33. 15
  34. 6
  35. 54
  36. 4
  37. 10
  38. 5
  39. 10
  40. 10

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