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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 432 · 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 9x − 16 = 11, what is x? (a) 3 (b) 27 (c) 2 (d) 4
  2. 2.If 6x + 9 = 45, what is x? (a) 36 (b) 6 (c) 9 (d) 7
  3. 3.If 9x − 62 = 10, what is x? (a) 7 (b) 9 (c) 8 (d) 72
  4. 4.If 7x + 1 = 6x + 10, what is x? (a) 9 (b) 11 (c) 10 (d) 8
  5. 5.If 4x + 18 = x + 21, what is x? (a) 3 (b) 2 (c) 13 (d) 1
  6. 6.If x/6 + 4 = 9, what is x? (a) 50 (b) 78 (c) 30 (d) 5
  7. 7.If 3x + 28 = 70, what is x? (a) 14 (b) 13 (c) 15 (d) 42
  8. 8.If 5x + 8 = 38, what is x? (a) 30 (b) 7 (c) 5 (d) 6
  9. 9.If 9x − 30 = 87, what is x? (a) 117 (b) 14 (c) 12 (d) 13
  10. 10.If 3x + 15 = 2x + 16, what is x? (a) 3 (b) 2 (c) 1 (d) 31
  11. 11.If 9x + 10 = 100, what is x? (a) 90 (b) 10 (c) 9 (d) 11
  12. 12.If 7x + 1 = 4x + 7, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  13. 13.If 4x + 30 = 82, what is x? (a) 28 (b) 52 (c) 14 (d) 13
  14. 14.If x/2 + 14 = 22, what is x? (a) 30 (b) 72 (c) 8 (d) 16
  15. 15.If 8x + 13 = 45, what is x? (a) 5 (b) 3 (c) 32 (d) 4
  16. 16.If x/2 + 1 = 13, what is x? (a) 12 (b) 28 (c) 25 (d) 24
  17. 17.If 7x − 26 = 9, what is x? (a) 4 (b) 6 (c) 5 (d) 35
  18. 18.If 3x + 23 = 32, what is x? (a) 2 (b) 9 (c) 3 (d) 4
  19. 19.If 6x + 11 = 3x + 35, what is x? (a) 10 (b) 8 (c) 7 (d) 9
  20. 20.If 3x + 11 = 41, what is x? (a) 11 (b) 10 (c) 30 (d) 9
  21. 21.If 8x − 13 = 19, what is x? (a) 32 (b) 5 (c) 3 (d) 4
  22. 22.If x/2 + 6 = 10, what is x? (a) 14 (b) 4 (c) 8 (d) 32
  23. 23.If x/5 + 2 = 7, what is x? (a) 25 (b) 45 (c) 5 (d) 33
  24. 24.If 8x + 18 = 2x + 72, what is x? (a) 10 (b) 9 (c) 15 (d) 11
  25. 25.If 4x + 17 = x + 29, what is x? (a) 3 (b) 6 (c) 5 (d) 4
  26. 26.If 6x + 4 = 5x + 7, what is x? (a) 3 (b) 5 (c) 4 (d) 11
  27. 27.If 6x + 1 = 3x + 22, what is x? (a) 8 (b) 7 (c) 9 (d) 6
  28. 28.If 8x + 29 = 85, what is x? (a) 7 (b) 8 (c) 6 (d) 56
  29. 29.If 3x + 9 = 30, what is x? (a) 7 (b) 8 (c) 13 (d) 21
  30. 30.If 3x + 12 = 2x + 16, what is x? (a) 4 (b) 5 (c) 28 (d) 6
  31. 31.If 8x + 3 = 4x + 15, what is x? (a) 4 (b) 1 (c) 5 (d) 3
  32. 32.If 7x + 15 = 43, what is x? (a) 28 (b) 5 (c) 4 (d) 3
  33. 33.If 9x − 74 = 61, what is x? (a) 135 (b) 15 (c) 16 (d) 14
  34. 34.If 6x + 16 = 52, what is x? (a) 36 (b) 6 (c) 7 (d) 5
  35. 35.If x/4 + 1 = 10, what is x? (a) 36 (b) 39 (c) 9 (d) 44
  36. 36.If x/3 + 14 = 21, what is x? (a) 49 (b) 7 (c) 105 (d) 21
  37. 37.If 5x + 18 = 68, what is x? (a) 50 (b) 11 (c) 10 (d) 9
  38. 38.If 3x + 24 = 57, what is x? (a) 33 (b) 27 (c) 12 (d) 11
  39. 39.If 5x + 9 = x + 17, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  40. 40.If 6x − 15 = 3, what is x? (a) 18 (b) 4 (c) 2 (d) 3

Answer key

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

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