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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 349 · 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 + 8 = 12, what is x? (a) 40 (b) 4 (c) 16 (d) 8
  2. 2.If 9x + 16 = 6x + 19, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  3. 3.If 4x + 17 = 3x + 27, what is x? (a) 11 (b) 12 (c) 44 (d) 10
  4. 4.If x/4 + 3 = 8, what is x? (a) 5 (b) 29 (c) 20 (d) 44
  5. 5.If 6x + 10 = 4x + 28, what is x? (a) 9 (b) 19 (c) 10 (d) 11
  6. 6.If x/6 + 10 = 22, what is x? (a) 72 (b) 12 (c) 192 (d) 122
  7. 7.If x/4 + 3 = 14, what is x? (a) 53 (b) 44 (c) 11 (d) 68
  8. 8.If 2x − 4 = 14, what is x? (a) 9 (b) 10 (c) 5 (d) 18
  9. 9.If 7x + 11 = x + 29, what is x? (a) 3 (b) 4 (c) 5 (d) 2
  10. 10.If 5x + 9 = 64, what is x? (a) 10 (b) 55 (c) 12 (d) 11
  11. 11.If 8x + 20 = 3x + 25, what is x? (a) 1 (b) 3 (c) 2 (d) 9
  12. 12.If 7x + 25 = 39, what is x? (a) 3 (b) 14 (c) 1 (d) 2
  13. 13.If 3x − 4 = 32, what is x? (a) 36 (b) 13 (c) 11 (d) 12
  14. 14.If 9x − 86 = 40, what is x? (a) 15 (b) 126 (c) 14 (d) 13
  15. 15.If 3x + 8 = 38, what is x? (a) 9 (b) 11 (c) 10 (d) 30
  16. 16.If 5x + 2 = x + 50, what is x? (a) 13 (b) 8 (c) 12 (d) 14
  17. 17.If 5x − 17 = 58, what is x? (a) 16 (b) 14 (c) 75 (d) 15
  18. 18.If x/4 + 11 = 14, what is x? (a) 12 (b) 100 (c) 45 (d) 3
  19. 19.If 8x + 20 = x + 62, what is x? (a) 6 (b) 5 (c) 8 (d) 7
  20. 20.If 4x + 8 = 28, what is x? (a) 5 (b) 6 (c) 20 (d) 9
  21. 21.If 4x + 6 = 3x + 8, what is x? (a) 2 (b) 4 (c) 3 (d) 14
  22. 22.If 6x + 17 = 71, what is x? (a) 9 (b) 8 (c) 54 (d) 10
  23. 23.If 4x + 21 = 45, what is x? (a) 6 (b) 5 (c) 7 (d) 24
  24. 24.If 2x + 7 = 29, what is x? (a) 12 (b) 11 (c) 22 (d) 18
  25. 25.If x/4 + 7 = 11, what is x? (a) 72 (b) 37 (c) 16 (d) 4
  26. 26.If 4x + 20 = 3x + 25, what is x? (a) 5 (b) 6 (c) 45 (d) 7
  27. 27.If 5x − 21 = 54, what is x? (a) 75 (b) 14 (c) 15 (d) 16
  28. 28.If x/2 + 2 = 12, what is x? (a) 22 (b) 10 (c) 28 (d) 20
  29. 29.If 9x + 2 = x + 42, what is x? (a) 6 (b) 5 (c) 7 (d) 4
  30. 30.If 9x − 48 = 87, what is x? (a) 14 (b) 15 (c) 16 (d) 135
  31. 31.If 3x + 3 = 15, what is x? (a) 12 (b) 4 (c) 5 (d) 6
  32. 32.If 9x + 11 = 47, what is x? (a) 4 (b) 5 (c) 3 (d) 36
  33. 33.If x/3 + 3 = 9, what is x? (a) 36 (b) 24 (c) 6 (d) 18
  34. 34.If x/2 + 2 = 5, what is x? (a) 8 (b) 3 (c) 6 (d) 14
  35. 35.If 9x + 19 = 127, what is x? (a) 13 (b) 12 (c) 108 (d) 11
  36. 36.If 6x + 16 = x + 46, what is x? (a) 6 (b) 5 (c) 7 (d) 8
  37. 37.If x/6 + 1 = 10, what is x? (a) 9 (b) 59 (c) 66 (d) 54
  38. 38.If 3x + 19 = x + 35, what is x? (a) 8 (b) 4 (c) 27 (d) 9
  39. 39.If 7x + 15 = 6x + 18, what is x? (a) 33 (b) 3 (c) 4 (d) 5
  40. 40.If x/2 + 10 = 15, what is x? (a) 10 (b) 5 (c) 50 (d) 20

Answer key

  1. 8
  2. 1
  3. 10
  4. 20
  5. 9
  6. 72
  7. 44
  8. 9
  9. 3
  10. 11
  11. 1
  12. 2
  13. 12
  14. 14
  15. 10
  16. 12
  17. 15
  18. 12
  19. 6
  20. 5
  21. 2
  22. 9
  23. 6
  24. 11
  25. 16
  26. 5
  27. 15
  28. 20
  29. 5
  30. 15
  31. 4
  32. 4
  33. 18
  34. 6
  35. 12
  36. 6
  37. 54
  38. 8
  39. 3
  40. 10

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