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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 122 · 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 5x + 17 = x + 45, what is x? (a) 9 (b) 7 (c) 8 (d) 6
  2. 2.If 8x − 38 = 18, what is x? (a) 8 (b) 56 (c) 6 (d) 7
  3. 3.If 7x + 4 = 32, what is x? (a) 5 (b) 28 (c) 4 (d) 3
  4. 4.If x/5 + 4 = 7, what is x? (a) 55 (b) 3 (c) 15 (d) 31
  5. 5.If x/3 + 1 = 4, what is x? (a) 15 (b) 3 (c) 11 (d) 9
  6. 6.If x/6 + 14 = 16, what is x? (a) 2 (b) 180 (c) 12 (d) 82
  7. 7.If 3x − 7 = 32, what is x? (a) 39 (b) 14 (c) 12 (d) 13
  8. 8.If 5x − 25 = 20, what is x? (a) 9 (b) 10 (c) 45 (d) 8
  9. 9.If 8x − 27 = 5, what is x? (a) 32 (b) 3 (c) 4 (d) 5
  10. 10.If 7x + 29 = 99, what is x? (a) 10 (b) 11 (c) 9 (d) 70
  11. 11.If 6x + 8 = 4x + 22, what is x? (a) 15 (b) 9 (c) 7 (d) 8
  12. 12.If 9x + 1 = 46, what is x? (a) 45 (b) 6 (c) 4 (d) 5
  13. 13.If 9x − 4 = 41, what is x? (a) 4 (b) 45 (c) 6 (d) 5
  14. 14.If 9x + 10 = 7x + 18, what is x? (a) 6 (b) 4 (c) 14 (d) 5
  15. 15.If 6x + 3 = 2x + 51, what is x? (a) 13 (b) 14 (c) 6 (d) 12
  16. 16.If 7x + 23 = 72, what is x? (a) 8 (b) 49 (c) 6 (d) 7
  17. 17.If 4x + 15 = x + 30, what is x? (a) 15 (b) 6 (c) 3 (d) 5
  18. 18.If 2x − 7 = 7, what is x? (a) 14 (b) 8 (c) 6 (d) 7
  19. 19.If x/6 + 3 = 9, what is x? (a) 72 (b) 36 (c) 51 (d) 6
  20. 20.If 5x + 6 = 16, what is x? (a) 10 (b) 2 (c) 3 (d) 1
  21. 21.If 9x + 5 = x + 53, what is x? (a) 7 (b) 8 (c) 5 (d) 6
  22. 22.If 5x − 32 = 23, what is x? (a) 10 (b) 55 (c) 12 (d) 11
  23. 23.If x/6 + 3 = 6, what is x? (a) 54 (b) 18 (c) 3 (d) 33
  24. 24.If x/5 + 3 = 9, what is x? (a) 60 (b) 30 (c) 6 (d) 42
  25. 25.If x/6 + 8 = 12, what is x? (a) 64 (b) 4 (c) 120 (d) 24
  26. 26.If 7x + 3 = 3x + 11, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  27. 27.If 3x + 10 = 2x + 12, what is x? (a) 3 (b) 4 (c) 2 (d) 22
  28. 28.If 9x + 27 = 117, what is x? (a) 10 (b) 11 (c) 16 (d) 90
  29. 29.If x/4 + 1 = 3, what is x? (a) 2 (b) 16 (c) 8 (d) 11
  30. 30.If 3x + 4 = 16, what is x? (a) 5 (b) 3 (c) 12 (d) 4
  31. 31.If 4x − 22 = 14, what is x? (a) 9 (b) 8 (c) 10 (d) 36
  32. 32.If 2x − 13 = 1, what is x? (a) 6 (b) 14 (c) 7 (d) 8
  33. 33.If 5x − 30 = 35, what is x? (a) 13 (b) 14 (c) 65 (d) 1
  34. 34.If x/6 + 12 = 16, what is x? (a) 84 (b) 24 (c) 168 (d) 4
  35. 35.If x/4 + 10 = 14, what is x? (a) 4 (b) 96 (c) 46 (d) 16
  36. 36.If 6x + 19 = 2x + 63, what is x? (a) 11 (b) 10 (c) 12 (d) 13
  37. 37.If 8x + 9 = 4x + 37, what is x? (a) 7 (b) 9 (c) 6 (d) 8
  38. 38.If 3x + 25 = 37, what is x? (a) 5 (b) 12 (c) 3 (d) 4
  39. 39.If 8x + 20 = 7x + 30, what is x? (a) 10 (b) 12 (c) 50 (d) 11
  40. 40.If 4x − 23 = 1, what is x? (a) 24 (b) 5 (c) 7 (d) 6

Answer key

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

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