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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 58 · 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 7x + 15 = 57, what is x? (a) 6 (b) 42 (c) 5 (d) 7
  2. 2.If 2x + 8 = 22, what is x? (a) 14 (b) 8 (c) 15 (d) 7
  3. 3.If 9x − 1 = 26, what is x? (a) 27 (b) 4 (c) 2 (d) 3
  4. 4.If 4x + 6 = 3x + 18, what is x? (a) 24 (b) 14 (c) 13 (d) 12
  5. 5.If 4x + 3 = x + 15, what is x? (a) 6 (b) 5 (c) 4 (d) 3
  6. 6.If x/3 + 14 = 17, what is x? (a) 3 (b) 37 (c) 9 (d) 93
  7. 7.If x/2 + 3 = 7, what is x? (a) 4 (b) 20 (c) 11 (d) 8
  8. 8.If 6x − 20 = 4, what is x? (a) 5 (b) 24 (c) 3 (d) 4
  9. 9.If x/5 + 6 = 18, what is x? (a) 120 (b) 84 (c) 12 (d) 60
  10. 10.If 9x + 2 = 4x + 12, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  11. 11.If 9x + 3 = x + 99, what is x? (a) 14 (b) 13 (c) 11 (d) 12
  12. 12.If 6x + 15 = 93, what is x? (a) 78 (b) 14 (c) 18 (d) 13
  13. 13.If 6x + 7 = x + 22, what is x? (a) 5 (b) 2 (c) 3 (d) 4
  14. 14.If 3x − 1 = 5, what is x? (a) 1 (b) 6 (c) 2 (d) 3
  15. 15.If 9x − 69 = 3, what is x? (a) 7 (b) 72 (c) 8 (d) 9
  16. 16.If 7x + 18 = 3x + 54, what is x? (a) 18 (b) 9 (c) 10 (d) 11
  17. 17.If 3x + 6 = x + 30, what is x? (a) 6 (b) 13 (c) 18 (d) 12
  18. 18.If 4x − 8 = 28, what is x? (a) 9 (b) 10 (c) 5 (d) 36
  19. 19.If 6x + 14 = 68, what is x? (a) 10 (b) 8 (c) 9 (d) 54
  20. 20.If 8x + 12 = 44, what is x? (a) 7 (b) 5 (c) 32 (d) 4
  21. 21.If 5x + 4 = x + 52, what is x? (a) 14 (b) 12 (c) 8 (d) 13
  22. 22.If 6x − 6 = 18, what is x? (a) 4 (b) 24 (c) 5 (d) 2
  23. 23.If 3x + 27 = 63, what is x? (a) 36 (b) 12 (c) 13 (d) 30
  24. 24.If x/3 + 11 = 20, what is x? (a) 93 (b) 49 (c) 9 (d) 27
  25. 25.If 9x + 12 = 2x + 68, what is x? (a) 8 (b) 10 (c) 9 (d) 7
  26. 26.If 7x + 5 = 40, what is x? (a) 35 (b) 5 (c) 4 (d) 6
  27. 27.If 2x − 7 = 23, what is x? (a) 16 (b) 15 (c) 30 (d) 8
  28. 28.If x/4 + 10 = 17, what is x? (a) 7 (b) 28 (c) 108 (d) 58
  29. 29.If 3x + 19 = 52, what is x? (a) 33 (b) 11 (c) 12 (d) 10
  30. 30.If 4x + 4 = x + 19, what is x? (a) 3 (b) 6 (c) 5 (d) 7
  31. 31.If 4x − 13 = 7, what is x? (a) 20 (b) 6 (c) 5 (d) 4
  32. 32.If 8x + 2 = 26, what is x? (a) 2 (b) 3 (c) 4 (d) 24
  33. 33.If x/3 + 10 = 18, what is x? (a) 84 (b) 8 (c) 44 (d) 24
  34. 34.If 6x + 16 = 106, what is x? (a) 16 (b) 90 (c) 14 (d) 15
  35. 35.If x/5 + 8 = 13, what is x? (a) 5 (b) 105 (c) 25 (d) 57
  36. 36.If 3x − 8 = 10, what is x? (a) 18 (b) 7 (c) 5 (d) 6
  37. 37.If 3x + 20 = 2x + 26, what is x? (a) 8 (b) 6 (c) 7 (d) 46
  38. 38.If 4x + 2 = 30, what is x? (a) 7 (b) 6 (c) 28 (d) 8
  39. 39.If x/2 + 4 = 10, what is x? (a) 6 (b) 16 (c) 12 (d) 28
  40. 40.If 7x − 1 = 69, what is x? (a) 11 (b) 70 (c) 10 (d) 9

Answer key

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

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