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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 495 · 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 5x + 12 = 3x + 18, what is x? (a) 3 (b) 4 (c) 5 (d) 15
  2. 2.If x/5 + 9 = 16, what is x? (a) 7 (b) 71 (c) 35 (d) 125
  3. 3.If 3x − 18 = 3, what is x? (a) 7 (b) 21 (c) 6 (d) 8
  4. 4.If 2x + 30 = 38, what is x? (a) 5 (b) 34 (c) 8 (d) 4
  5. 5.If 5x + 10 = 30, what is x? (a) 8 (b) 20 (c) 4 (d) 5
  6. 6.If 4x + 14 = 66, what is x? (a) 20 (b) 13 (c) 14 (d) 52
  7. 7.If 4x + 2 = 2x + 4, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  8. 8.If 8x + 9 = 2x + 45, what is x? (a) 8 (b) 7 (c) 9 (d) 6
  9. 9.If 6x − 4 = 20, what is x? (a) 24 (b) 5 (c) 3 (d) 4
  10. 10.If 9x + 14 = 131, what is x? (a) 117 (b) 14 (c) 12 (d) 13
  11. 11.If 4x + 15 = 2x + 29, what is x? (a) 8 (b) 9 (c) 22 (d) 7
  12. 12.If x/6 + 13 = 20, what is x? (a) 42 (b) 7 (c) 107 (d) 198
  13. 13.If 9x + 21 = 66, what is x? (a) 6 (b) 4 (c) 45 (d) 5
  14. 14.If 5x − 5 = 20, what is x? (a) 5 (b) 25 (c) 3 (d) 6
  15. 15.If 9x + 22 = 85, what is x? (a) 8 (b) 63 (c) 6 (d) 7
  16. 16.If 8x − 60 = 12, what is x? (a) 9 (b) 8 (c) 72 (d) 10
  17. 17.If 5x + 2 = 47, what is x? (a) 9 (b) 8 (c) 45 (d) 10
  18. 18.If 6x − 52 = 26, what is x? (a) 78 (b) 14 (c) 13 (d) 12
  19. 19.If 4x + 15 = x + 21, what is x? (a) 12 (b) 3 (c) 2 (d) 4
  20. 20.If 8x + 12 = 68, what is x? (a) 7 (b) 56 (c) 8 (d) 10
  21. 21.If 3x − 6 = 9, what is x? (a) 1 (b) 15 (c) 5 (d) 6
  22. 22.If 8x + 23 = 63, what is x? (a) 40 (b) 4 (c) 6 (d) 5
  23. 23.If x/4 + 11 = 13, what is x? (a) 2 (b) 96 (c) 8 (d) 41
  24. 24.If x/4 + 6 = 10, what is x? (a) 34 (b) 64 (c) 4 (d) 16
  25. 25.If 6x − 54 = 24, what is x? (a) 12 (b) 14 (c) 78 (d) 13
  26. 26.If x/6 + 6 = 12, what is x? (a) 108 (b) 6 (c) 36 (d) 66
  27. 27.If x/5 + 9 = 12, what is x? (a) 105 (b) 3 (c) 51 (d) 15
  28. 28.If x/4 + 2 = 9, what is x? (a) 44 (b) 7 (c) 34 (d) 28
  29. 29.If 6x + 24 = 36, what is x? (a) 2 (b) 3 (c) 10 (d) 12
  30. 30.If x/5 + 5 = 13, what is x? (a) 40 (b) 8 (c) 60 (d) 90
  31. 31.If 9x − 9 = 18, what is x? (a) 27 (b) 3 (c) 4 (d) 1
  32. 32.If 4x + 16 = 60, what is x? (a) 19 (b) 44 (c) 12 (d) 11
  33. 33.If 4x − 3 = 5, what is x? (a) 8 (b) 3 (c) 1 (d) 2
  34. 34.If x/6 + 10 = 14, what is x? (a) 4 (b) 24 (c) 74 (d) 144
  35. 35.If 6x + 18 = 66, what is x? (a) 8 (b) 14 (c) 9 (d) 48
  36. 36.If 3x + 10 = 2x + 16, what is x? (a) 7 (b) 6 (c) 26 (d) 8
  37. 37.If 6x + 4 = 82, what is x? (a) 14 (b) 12 (c) 78 (d) 13
  38. 38.If x/5 + 5 = 15, what is x? (a) 10 (b) 100 (c) 50 (d) 70
  39. 39.If 9x + 20 = 110, what is x? (a) 11 (b) 90 (c) 9 (d) 10
  40. 40.If 6x − 16 = 50, what is x? (a) 10 (b) 12 (c) 11 (d) 66

Answer key

  1. 3
  2. 35
  3. 7
  4. 4
  5. 4
  6. 13
  7. 1
  8. 6
  9. 4
  10. 13
  11. 7
  12. 42
  13. 5
  14. 5
  15. 7
  16. 9
  17. 9
  18. 13
  19. 2
  20. 7
  21. 5
  22. 5
  23. 8
  24. 16
  25. 13
  26. 36
  27. 15
  28. 28
  29. 2
  30. 40
  31. 3
  32. 11
  33. 2
  34. 24
  35. 8
  36. 6
  37. 13
  38. 50
  39. 10
  40. 11

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