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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 462 · 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 + 6 = 11, what is x? (a) 5 (b) 34 (c) 10 (d) 16
  2. 2.If 8x + 18 = 7x + 29, what is x? (a) 11 (b) 12 (c) 13 (d) 47
  3. 3.If x/3 + 15 = 19, what is x? (a) 4 (b) 102 (c) 42 (d) 12
  4. 4.If 7x + 14 = 70, what is x? (a) 9 (b) 56 (c) 12 (d) 8
  5. 5.If x/4 + 1 = 12, what is x? (a) 11 (b) 47 (c) 44 (d) 52
  6. 6.If 4x + 1 = 3x + 8, what is x? (a) 9 (b) 8 (c) 1 (d) 7
  7. 7.If 6x + 14 = 3x + 41, what is x? (a) 3 (b) 11 (c) 9 (d) 10
  8. 8.If 4x − 1 = 23, what is x? (a) 24 (b) 6 (c) 7 (d) 5
  9. 9.If 5x − 11 = 4, what is x? (a) 4 (b) 15 (c) 2 (d) 3
  10. 10.If 6x + 1 = 25, what is x? (a) 3 (b) 5 (c) 24 (d) 4
  11. 11.If 6x + 5 = 4x + 17, what is x? (a) 7 (b) 8 (c) 11 (d) 6
  12. 12.If x/6 + 15 = 19, what is x? (a) 204 (b) 99 (c) 4 (d) 24
  13. 13.If 2x − 15 = 15, what is x? (a) 15 (b) 14 (c) 30 (d) 16
  14. 14.If x/6 + 5 = 11, what is x? (a) 6 (b) 61 (c) 36 (d) 96
  15. 15.If 3x + 16 = x + 40, what is x? (a) 6 (b) 28 (c) 13 (d) 12
  16. 16.If x/3 + 5 = 9, what is x? (a) 12 (b) 42 (c) 4 (d) 22
  17. 17.If x/5 + 1 = 3, what is x? (a) 20 (b) 14 (c) 2 (d) 10
  18. 18.If 3x + 15 = 2x + 27, what is x? (a) 42 (b) 14 (c) 12 (d) 13
  19. 19.If 5x − 2 = 33, what is x? (a) 7 (b) 35 (c) 6 (d) 8
  20. 20.If 5x + 17 = 27, what is x? (a) 10 (b) 2 (c) 1 (d) 3
  21. 21.If 9x + 21 = 102, what is x? (a) 10 (b) 81 (c) 9 (d) 8
  22. 22.If 3x − 1 = 5, what is x? (a) 3 (b) 2 (c) 6 (d) 1
  23. 23.If 2x − 8 = 4, what is x? (a) 7 (b) 12 (c) 6 (d) 5
  24. 24.If 2x + 22 = 28, what is x? (a) 6 (b) 4 (c) 3 (d) 25
  25. 25.If x/6 + 15 = 18, what is x? (a) 18 (b) 198 (c) 93 (d) 3
  26. 26.If 4x + 8 = 32, what is x? (a) 24 (b) 6 (c) 7 (d) 10
  27. 27.If 9x − 14 = 4, what is x? (a) 18 (b) 1 (c) 2 (d) 3
  28. 28.If 6x + 8 = 20, what is x? (a) 3 (b) 2 (c) 1 (d) 12
  29. 29.If 6x − 3 = 21, what is x? (a) 3 (b) 5 (c) 4 (d) 24
  30. 30.If 6x + 27 = 69, what is x? (a) 16 (b) 7 (c) 8 (d) 42
  31. 31.If x/2 + 5 = 9, what is x? (a) 13 (b) 4 (c) 28 (d) 8
  32. 32.If 4x + 24 = 52, what is x? (a) 8 (b) 28 (c) 7 (d) 19
  33. 33.If 2x + 2 = 14, what is x? (a) 12 (b) 7 (c) 8 (d) 6
  34. 34.If 4x − 15 = 45, what is x? (a) 60 (b) 16 (c) 15 (d) 14
  35. 35.If 3x − 1 = 44, what is x? (a) 14 (b) 15 (c) 45 (d) 16
  36. 36.If 6x + 19 = 49, what is x? (a) 4 (b) 30 (c) 5 (d) 6
  37. 37.If 9x + 1 = 2x + 8, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  38. 38.If 3x + 25 = 61, what is x? (a) 12 (b) 11 (c) 36 (d) 13
  39. 39.If 9x − 46 = 17, what is x? (a) 63 (b) 6 (c) 7 (d) 8
  40. 40.If x/3 + 7 = 19, what is x? (a) 78 (b) 12 (c) 36 (d) 50

Answer key

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

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