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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 523 · 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/3 + 2 = 11, what is x? (a) 31 (b) 9 (c) 39 (d) 27
  2. 2.If 7x + 5 = 2x + 55, what is x? (a) 9 (b) 11 (c) 10 (d) 12
  3. 3.If 9x + 15 = 3x + 81, what is x? (a) 16 (b) 12 (c) 13 (d) 11
  4. 4.If x/2 + 10 = 19, what is x? (a) 28 (b) 9 (c) 18 (d) 58
  5. 5.If 5x − 36 = 34, what is x? (a) 70 (b) 14 (c) 13 (d) 15
  6. 6.If 2x + 19 = 25, what is x? (a) 22 (b) 3 (c) 6 (d) 4
  7. 7.If 3x + 13 = 2x + 17, what is x? (a) 5 (b) 30 (c) 4 (d) 6
  8. 8.If 3x + 7 = x + 11, what is x? (a) 3 (b) 1 (c) 2 (d) 9
  9. 9.If 4x + 5 = x + 17, what is x? (a) 5 (b) 4 (c) 6 (d) 3
  10. 10.If 9x + 12 = 8x + 24, what is x? (a) 13 (b) 36 (c) 14 (d) 12
  11. 11.If 6x + 18 = x + 43, what is x? (a) 5 (b) 6 (c) 4 (d) 7
  12. 12.If 6x − 5 = 7, what is x? (a) 3 (b) 2 (c) 12 (d) 1
  13. 13.If 8x + 14 = 3x + 24, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  14. 14.If 3x − 18 = 9, what is x? (a) 10 (b) 8 (c) 9 (d) 27
  15. 15.If 4x + 24 = 84, what is x? (a) 60 (b) 16 (c) 15 (d) 27
  16. 16.If x/6 + 15 = 21, what is x? (a) 216 (b) 111 (c) 36 (d) 6
  17. 17.If x/6 + 4 = 12, what is x? (a) 68 (b) 48 (c) 96 (d) 8
  18. 18.If x/6 + 6 = 14, what is x? (a) 8 (b) 120 (c) 78 (d) 48
  19. 19.If 9x + 1 = 8x + 12, what is x? (a) 12 (b) 11 (c) 10 (d) 13
  20. 20.If x/5 + 14 = 17, what is x? (a) 155 (b) 15 (c) 71 (d) 3
  21. 21.If 5x + 13 = 3x + 17, what is x? (a) 4 (b) 2 (c) 3 (d) 15
  22. 22.If 4x + 12 = 3x + 13, what is x? (a) 1 (b) 2 (c) 3 (d) 25
  23. 23.If x/3 + 9 = 17, what is x? (a) 78 (b) 42 (c) 8 (d) 24
  24. 24.If x/2 + 8 = 17, what is x? (a) 18 (b) 9 (c) 26 (d) 50
  25. 25.If 9x − 57 = 60, what is x? (a) 117 (b) 12 (c) 13 (d) 14
  26. 26.If 2x + 21 = 51, what is x? (a) 30 (b) 16 (c) 15 (d) 36
  27. 27.If 4x + 4 = 52, what is x? (a) 48 (b) 14 (c) 12 (d) 13
  28. 28.If x/6 + 2 = 4, what is x? (a) 2 (b) 36 (c) 22 (d) 12
  29. 29.If x/2 + 2 = 8, what is x? (a) 6 (b) 20 (c) 14 (d) 12
  30. 30.If 8x + 12 = 7x + 22, what is x? (a) 34 (b) 11 (c) 12 (d) 10
  31. 31.If 4x + 15 = 3x + 20, what is x? (a) 35 (b) 6 (c) 7 (d) 5
  32. 32.If 4x + 5 = 49, what is x? (a) 10 (b) 12 (c) 11 (d) 44
  33. 33.If x/2 + 13 = 25, what is x? (a) 76 (b) 24 (c) 12 (d) 37
  34. 34.If 7x + 16 = 4x + 25, what is x? (a) 2 (b) 3 (c) 4 (d) 5
  35. 35.If 8x + 14 = 5x + 35, what is x? (a) 9 (b) 8 (c) 7 (d) 6
  36. 36.If x/5 + 12 = 22, what is x? (a) 50 (b) 10 (c) 98 (d) 170
  37. 37.If x/2 + 7 = 18, what is x? (a) 50 (b) 11 (c) 29 (d) 22
  38. 38.If 6x + 10 = x + 55, what is x? (a) 11 (b) 9 (c) 10 (d) 13
  39. 39.If 4x + 14 = 2x + 22, what is x? (a) 6 (b) 5 (c) 4 (d) 18
  40. 40.If 9x − 26 = 19, what is x? (a) 5 (b) 4 (c) 45 (d) 6

Answer key

  1. 27
  2. 10
  3. 11
  4. 18
  5. 14
  6. 3
  7. 4
  8. 2
  9. 4
  10. 12
  11. 5
  12. 2
  13. 2
  14. 9
  15. 15
  16. 36
  17. 48
  18. 48
  19. 11
  20. 15
  21. 2
  22. 1
  23. 24
  24. 18
  25. 13
  26. 15
  27. 12
  28. 12
  29. 12
  30. 10
  31. 5
  32. 11
  33. 24
  34. 3
  35. 7
  36. 50
  37. 22
  38. 9
  39. 4
  40. 5

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