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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 26 · 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 − 9 = 9, what is x? (a) 2 (b) 3 (c) 1 (d) 18
  2. 2.If 9x + 7 = 6x + 40, what is x? (a) 10 (b) 12 (c) 13 (d) 11
  3. 3.If 5x + 22 = 87, what is x? (a) 13 (b) 12 (c) 14 (d) 65
  4. 4.If x/4 + 11 = 19, what is x? (a) 32 (b) 8 (c) 120 (d) 65
  5. 5.If x/2 + 7 = 9, what is x? (a) 32 (b) 4 (c) 2 (d) 11
  6. 6.If 4x − 1 = 7, what is x? (a) 2 (b) 1 (c) 8 (d) 3
  7. 7.If 5x + 16 = 2x + 49, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  8. 8.If 4x − 29 = 27, what is x? (a) 56 (b) 14 (c) 15 (d) 13
  9. 9.If 8x + 17 = 73, what is x? (a) 8 (b) 6 (c) 56 (d) 7
  10. 10.If 7x + 15 = 3x + 27, what is x? (a) 3 (b) 5 (c) 4 (d) 2
  11. 11.If 5x + 9 = 2x + 36, what is x? (a) 10 (b) 9 (c) 11 (d) 15
  12. 12.If 3x + 5 = 23, what is x? (a) 7 (b) 18 (c) 5 (d) 6
  13. 13.If 8x + 16 = x + 93, what is x? (a) 13 (b) 10 (c) 12 (d) 11
  14. 14.If x/3 + 12 = 24, what is x? (a) 108 (b) 12 (c) 36 (d) 60
  15. 15.If 5x − 5 = 45, what is x? (a) 10 (b) 8 (c) 11 (d) 50
  16. 16.If 6x + 7 = 19, what is x? (a) 1 (b) 2 (c) 12 (d) 3
  17. 17.If 5x − 17 = 28, what is x? (a) 45 (b) 10 (c) 8 (d) 9
  18. 18.If 4x − 2 = 6, what is x? (a) 8 (b) 2 (c) 3 (d) 1
  19. 19.If x/2 + 2 = 10, what is x? (a) 24 (b) 16 (c) 8 (d) 18
  20. 20.If x/5 + 10 = 22, what is x? (a) 160 (b) 12 (c) 60 (d) 100
  21. 21.If 5x − 13 = 62, what is x? (a) 75 (b) 16 (c) 14 (d) 15
  22. 22.If 2x + 16 = 22, what is x? (a) 19 (b) 4 (c) 3 (d) 6
  23. 23.If x/4 + 11 = 21, what is x? (a) 128 (b) 40 (c) 10 (d) 73
  24. 24.If 3x − 13 = 23, what is x? (a) 13 (b) 36 (c) 11 (d) 12
  25. 25.If x/4 + 2 = 11, what is x? (a) 9 (b) 42 (c) 52 (d) 36
  26. 26.If 4x − 15 = 45, what is x? (a) 60 (b) 14 (c) 15 (d) 16
  27. 27.If 8x + 11 = 35, what is x? (a) 2 (b) 3 (c) 4 (d) 24
  28. 28.If 5x + 9 = 2x + 45, what is x? (a) 13 (b) 14 (c) 18 (d) 12
  29. 29.If x/2 + 15 = 22, what is x? (a) 7 (b) 29 (c) 74 (d) 14
  30. 30.If x/6 + 1 = 3, what is x? (a) 12 (b) 17 (c) 24 (d) 2
  31. 31.If x/4 + 10 = 13, what is x? (a) 3 (b) 12 (c) 92 (d) 42
  32. 32.If 3x + 18 = 63, what is x? (a) 15 (b) 27 (c) 16 (d) 45
  33. 33.If 7x + 18 = 74, what is x? (a) 9 (b) 7 (c) 56 (d) 8
  34. 34.If 2x + 15 = 21, what is x? (a) 3 (b) 4 (c) 18 (d) 6
  35. 35.If 9x + 13 = 6x + 28, what is x? (a) 1 (b) 7 (c) 5 (d) 6
  36. 36.If 4x + 4 = 3x + 15, what is x? (a) 19 (b) 13 (c) 12 (d) 11
  37. 37.If x/5 + 15 = 17, what is x? (a) 10 (b) 70 (c) 2 (d) 160
  38. 38.If 3x + 19 = x + 39, what is x? (a) 11 (b) 29 (c) 10 (d) 5
  39. 39.If 4x + 9 = 2x + 27, what is x? (a) 10 (b) 3 (c) 18 (d) 9
  40. 40.If 4x + 17 = x + 23, what is x? (a) 1 (b) 4 (c) 3 (d) 2

Answer key

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

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