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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 785 · 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/3 + 8 = 16, what is x? (a) 8 (b) 40 (c) 72 (d) 24
  2. 2.If 5x − 9 = 1, what is x? (a) 1 (b) 10 (c) 2 (d) 3
  3. 3.If 8x − 15 = 17, what is x? (a) 5 (b) 4 (c) 32 (d) 3
  4. 4.If x/4 + 7 = 13, what is x? (a) 24 (b) 6 (c) 45 (d) 80
  5. 5.If x/2 + 3 = 15, what is x? (a) 36 (b) 12 (c) 27 (d) 24
  6. 6.If 9x + 2 = x + 18, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  7. 7.If 3x + 15 = x + 39, what is x? (a) 12 (b) 6 (c) 27 (d) 13
  8. 8.If 3x − 16 = 8, what is x? (a) 9 (b) 8 (c) 24 (d) 7
  9. 9.If 5x − 12 = 18, what is x? (a) 5 (b) 6 (c) 30 (d) 7
  10. 10.If 8x − 43 = 21, what is x? (a) 7 (b) 9 (c) 64 (d) 8
  11. 11.If 7x − 70 = 14, what is x? (a) 13 (b) 11 (c) 12 (d) 84
  12. 12.If 5x + 18 = 2x + 36, what is x? (a) 6 (b) 7 (c) 18 (d) 8
  13. 13.If 7x + 6 = 3x + 30, what is x? (a) 7 (b) 9 (c) 8 (d) 6
  14. 14.If x/3 + 1 = 6, what is x? (a) 21 (b) 17 (c) 5 (d) 15
  15. 15.If 8x + 14 = 7x + 16, what is x? (a) 3 (b) 2 (c) 30 (d) 4
  16. 16.If x/2 + 12 = 14, what is x? (a) 52 (b) 16 (c) 4 (d) 2
  17. 17.If 7x + 12 = 82, what is x? (a) 70 (b) 11 (c) 9 (d) 10
  18. 18.If 5x − 44 = 1, what is x? (a) 10 (b) 8 (c) 9 (d) 45
  19. 19.If 6x + 20 = 56, what is x? (a) 7 (b) 36 (c) 5 (d) 6
  20. 20.If 3x − 11 = 19, what is x? (a) 30 (b) 9 (c) 10 (d) 11
  21. 21.If x/4 + 1 = 11, what is x? (a) 48 (b) 40 (c) 10 (d) 43
  22. 22.If 4x + 11 = x + 26, what is x? (a) 7 (b) 6 (c) 3 (d) 5
  23. 23.If x/2 + 1 = 6, what is x? (a) 11 (b) 5 (c) 14 (d) 10
  24. 24.If 8x + 13 = 3x + 28, what is x? (a) 5 (b) 3 (c) 4 (d) 2
  25. 25.If 2x − 11 = 3, what is x? (a) 8 (b) 14 (c) 7 (d) 6
  26. 26.If 3x − 18 = 21, what is x? (a) 1 (b) 39 (c) 13 (d) 14
  27. 27.If 8x + 9 = 2x + 75, what is x? (a) 11 (b) 13 (c) 12 (d) 14
  28. 28.If 9x + 14 = 41, what is x? (a) 2 (b) 4 (c) 3 (d) 27
  29. 29.If 9x − 41 = 40, what is x? (a) 8 (b) 81 (c) 9 (d) 10
  30. 30.If 7x − 20 = 8, what is x? (a) 5 (b) 28 (c) 4 (d) 3
  31. 31.If 7x + 2 = x + 8, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  32. 32.If 9x + 9 = 3x + 75, what is x? (a) 12 (b) 13 (c) 11 (d) 14
  33. 33.If 9x + 3 = 7x + 7, what is x? (a) 5 (b) 3 (c) 2 (d) 4
  34. 34.If 8x − 4 = 44, what is x? (a) 5 (b) 48 (c) 7 (d) 6
  35. 35.If 6x + 14 = x + 54, what is x? (a) 9 (b) 7 (c) 10 (d) 8
  36. 36.If x/3 + 7 = 17, what is x? (a) 44 (b) 10 (c) 30 (d) 72
  37. 37.If 7x + 1 = 64, what is x? (a) 9 (b) 8 (c) 10 (d) 63
  38. 38.If 5x + 16 = 4x + 23, what is x? (a) 8 (b) 9 (c) 39 (d) 7
  39. 39.If 4x + 9 = 2x + 25, what is x? (a) 17 (b) 8 (c) 9 (d) 10
  40. 40.If 4x + 13 = 29, what is x? (a) 16 (b) 5 (c) 4 (d) 3

Answer key

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

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