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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 216 · 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 2x + 9 = 15, what is x? (a) 12 (b) 6 (c) 4 (d) 3
  2. 2.If 6x + 14 = x + 29, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  3. 3.If x/5 + 1 = 7, what is x? (a) 6 (b) 40 (c) 34 (d) 30
  4. 4.If 9x + 8 = 6x + 32, what is x? (a) 9 (b) 8 (c) 10 (d) 7
  5. 5.If 6x − 7 = 5, what is x? (a) 12 (b) 3 (c) 2 (d) 1
  6. 6.If 9x + 13 = 6x + 31, what is x? (a) 8 (b) 7 (c) 5 (d) 6
  7. 7.If 3x + 23 = 29, what is x? (a) 1 (b) 6 (c) 3 (d) 2
  8. 8.If 5x − 24 = 21, what is x? (a) 8 (b) 45 (c) 9 (d) 10
  9. 9.If 2x + 3 = 29, what is x? (a) 16 (b) 13 (c) 26 (d) 14
  10. 10.If x/2 + 14 = 22, what is x? (a) 72 (b) 30 (c) 16 (d) 8
  11. 11.If 7x + 11 = 2x + 36, what is x? (a) 5 (b) 6 (c) 4 (d) 7
  12. 12.If x/2 + 14 = 24, what is x? (a) 34 (b) 76 (c) 20 (d) 10
  13. 13.If 3x + 20 = x + 44, what is x? (a) 12 (b) 6 (c) 13 (d) 32
  14. 14.If 5x + 11 = 81, what is x? (a) 14 (b) 13 (c) 15 (d) 70
  15. 15.If x/6 + 8 = 14, what is x? (a) 132 (b) 6 (c) 76 (d) 36
  16. 16.If x/3 + 14 = 20, what is x? (a) 46 (b) 6 (c) 102 (d) 18
  17. 17.If x/5 + 1 = 5, what is x? (a) 30 (b) 24 (c) 20 (d) 4
  18. 18.If 6x + 14 = 5x + 15, what is x? (a) 1 (b) 29 (c) 2 (d) 3
  19. 19.If 5x − 54 = 16, what is x? (a) 70 (b) 15 (c) 13 (d) 14
  20. 20.If 7x + 29 = 85, what is x? (a) 56 (b) 9 (c) 8 (d) 7
  21. 21.If 2x − 14 = 6, what is x? (a) 11 (b) 10 (c) 20 (d) 9
  22. 22.If 5x + 12 = x + 24, what is x? (a) 3 (b) 2 (c) 4 (d) 9
  23. 23.If 3x + 15 = 36, what is x? (a) 17 (b) 7 (c) 8 (d) 21
  24. 24.If 8x + 12 = 76, what is x? (a) 9 (b) 8 (c) 64 (d) 11
  25. 25.If 3x + 8 = 2x + 16, what is x? (a) 10 (b) 24 (c) 8 (d) 9
  26. 26.If 4x + 1 = 2x + 19, what is x? (a) 9 (b) 3 (c) 11 (d) 10
  27. 27.If 9x + 28 = 127, what is x? (a) 99 (b) 10 (c) 11 (d) 12
  28. 28.If x/2 + 11 = 16, what is x? (a) 5 (b) 10 (c) 21 (d) 54
  29. 29.If x/4 + 11 = 13, what is x? (a) 2 (b) 41 (c) 96 (d) 8
  30. 30.If 4x + 2 = 2x + 12, what is x? (a) 4 (b) 7 (c) 5 (d) 6
  31. 31.If 9x − 5 = 103, what is x? (a) 11 (b) 13 (c) 12 (d) 108
  32. 32.If x/2 + 13 = 23, what is x? (a) 10 (b) 33 (c) 20 (d) 72
  33. 33.If 8x − 13 = 3, what is x? (a) 3 (b) 16 (c) 2 (d) 1
  34. 34.If x/3 + 5 = 17, what is x? (a) 66 (b) 12 (c) 46 (d) 36
  35. 35.If 3x − 30 = 3, what is x? (a) 33 (b) 12 (c) 10 (d) 11
  36. 36.If 4x − 58 = 2, what is x? (a) 14 (b) 16 (c) 60 (d) 15
  37. 37.If 8x + 7 = 6x + 13, what is x? (a) 5 (b) 10 (c) 3 (d) 4
  38. 38.If 4x + 13 = 2x + 21, what is x? (a) 5 (b) 17 (c) 4 (d) 6
  39. 39.If 7x − 12 = 9, what is x? (a) 21 (b) 4 (c) 3 (d) 2
  40. 40.If 8x + 20 = 140, what is x? (a) 15 (b) 120 (c) 16 (d) 20

Answer key

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

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