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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 67 · 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 4x + 7 = 43, what is x? (a) 8 (b) 10 (c) 36 (d) 9
  2. 2.If 3x + 4 = 28, what is x? (a) 7 (b) 24 (c) 9 (d) 8
  3. 3.If x/6 + 1 = 6, what is x? (a) 30 (b) 5 (c) 42 (d) 35
  4. 4.If 4x + 4 = x + 28, what is x? (a) 10 (b) 9 (c) 7 (d) 8
  5. 5.If 3x + 11 = 50, what is x? (a) 12 (b) 13 (c) 14 (d) 39
  6. 6.If 2x − 11 = 13, what is x? (a) 1 (b) 13 (c) 12 (d) 24
  7. 7.If 3x + 9 = 15, what is x? (a) 3 (b) 6 (c) 8 (d) 2
  8. 8.If 7x + 24 = 129, what is x? (a) 14 (b) 15 (c) 16 (d) 105
  9. 9.If 7x − 9 = 33, what is x? (a) 42 (b) 5 (c) 7 (d) 6
  10. 10.If x/3 + 3 = 13, what is x? (a) 36 (b) 48 (c) 30 (d) 10
  11. 11.If x/3 + 4 = 12, what is x? (a) 8 (b) 32 (c) 48 (d) 24
  12. 12.If x/5 + 15 = 26, what is x? (a) 55 (b) 11 (c) 205 (d) 115
  13. 13.If 6x − 31 = 35, what is x? (a) 11 (b) 66 (c) 12 (d) 10
  14. 14.If x/6 + 11 = 17, what is x? (a) 168 (b) 91 (c) 36 (d) 6
  15. 15.If 6x + 14 = 4x + 32, what is x? (a) 11 (b) 9 (c) 10 (d) 23
  16. 16.If 2x + 28 = 44, what is x? (a) 16 (b) 8 (c) 9 (d) 36
  17. 17.If x/3 + 3 = 7, what is x? (a) 18 (b) 30 (c) 12 (d) 4
  18. 18.If 2x − 7 = 9, what is x? (a) 1 (b) 9 (c) 8 (d) 16
  19. 19.If x/6 + 8 = 18, what is x? (a) 60 (b) 100 (c) 156 (d) 10
  20. 20.If 5x − 10 = 20, what is x? (a) 6 (b) 30 (c) 2 (d) 7
  21. 21.If 6x + 10 = 28, what is x? (a) 4 (b) 18 (c) 2 (d) 3
  22. 22.If 3x + 11 = 53, what is x? (a) 15 (b) 13 (c) 14 (d) 42
  23. 23.If 6x − 25 = 35, what is x? (a) 60 (b) 10 (c) 11 (d) 9
  24. 24.If 2x + 2 = 22, what is x? (a) 11 (b) 20 (c) 10 (d) 12
  25. 25.If 4x + 13 = x + 49, what is x? (a) 11 (b) 13 (c) 14 (d) 12
  26. 26.If x/2 + 4 = 9, what is x? (a) 26 (b) 10 (c) 5 (d) 14
  27. 27.If 7x + 6 = 5x + 22, what is x? (a) 9 (b) 10 (c) 8 (d) 14
  28. 28.If 9x + 20 = 7x + 32, what is x? (a) 26 (b) 8 (c) 7 (d) 6
  29. 29.If 9x + 24 = 123, what is x? (a) 99 (b) 10 (c) 12 (d) 11
  30. 30.If 6x − 9 = 39, what is x? (a) 48 (b) 5 (c) 9 (d) 8
  31. 31.If 2x + 23 = 29, what is x? (a) 3 (b) 4 (c) 26 (d) 6
  32. 32.If 6x − 14 = 4, what is x? (a) 18 (b) 3 (c) 2 (d) 4
  33. 33.If x/5 + 6 = 8, what is x? (a) 2 (b) 10 (c) 34 (d) 70
  34. 34.If 2x − 8 = 4, what is x? (a) 12 (b) 6 (c) 5 (d) 7
  35. 35.If 2x − 1 = 9, what is x? (a) 5 (b) 10 (c) 4 (d) 6
  36. 36.If x/4 + 1 = 8, what is x? (a) 7 (b) 31 (c) 36 (d) 28
  37. 37.If x/4 + 6 = 9, what is x? (a) 12 (b) 3 (c) 30 (d) 60
  38. 38.If 3x + 6 = 51, what is x? (a) 19 (b) 45 (c) 15 (d) 16
  39. 39.If 9x − 2 = 16, what is x? (a) 1 (b) 2 (c) 3 (d) 18
  40. 40.If x/6 + 4 = 7, what is x? (a) 3 (b) 66 (c) 38 (d) 18

Answer key

  1. 9
  2. 8
  3. 30
  4. 8
  5. 13
  6. 12
  7. 2
  8. 15
  9. 6
  10. 30
  11. 24
  12. 55
  13. 11
  14. 36
  15. 9
  16. 8
  17. 12
  18. 8
  19. 60
  20. 6
  21. 3
  22. 14
  23. 10
  24. 10
  25. 12
  26. 10
  27. 8
  28. 6
  29. 11
  30. 8
  31. 3
  32. 3
  33. 10
  34. 6
  35. 5
  36. 28
  37. 12
  38. 15
  39. 2
  40. 18

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