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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 394 · 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 2x − 20 = 2, what is x? (a) 10 (b) 22 (c) 12 (d) 11
  2. 2.If 6x + 19 = 91, what is x? (a) 12 (b) 13 (c) 72 (d) 11
  3. 3.If 3x − 2 = 7, what is x? (a) 3 (b) 9 (c) 4 (d) 2
  4. 4.If 6x + 17 = 35, what is x? (a) 4 (b) 3 (c) 18 (d) 2
  5. 5.If 3x − 4 = 41, what is x? (a) 45 (b) 14 (c) 15 (d) 16
  6. 6.If 6x + 26 = 56, what is x? (a) 4 (b) 6 (c) 5 (d) 30
  7. 7.If 6x + 22 = 40, what is x? (a) 3 (b) 2 (c) 4 (d) 18
  8. 8.If x/2 + 1 = 5, what is x? (a) 8 (b) 4 (c) 9 (d) 12
  9. 9.If 3x − 17 = 7, what is x? (a) 24 (b) 7 (c) 9 (d) 8
  10. 10.If 9x − 32 = 103, what is x? (a) 135 (b) 15 (c) 14 (d) 16
  11. 11.If x/2 + 15 = 17, what is x? (a) 2 (b) 19 (c) 64 (d) 4
  12. 12.If x/3 + 3 = 9, what is x? (a) 36 (b) 18 (c) 6 (d) 24
  13. 13.If 4x + 4 = 64, what is x? (a) 60 (b) 16 (c) 15 (d) 17
  14. 14.If 8x + 10 = 42, what is x? (a) 3 (b) 32 (c) 5 (d) 4
  15. 15.If 9x − 85 = 32, what is x? (a) 13 (b) 14 (c) 117 (d) 12
  16. 16.If 5x + 16 = x + 64, what is x? (a) 13 (b) 8 (c) 20 (d) 12
  17. 17.If 7x − 15 = 20, what is x? (a) 35 (b) 6 (c) 4 (d) 5
  18. 18.If x/3 + 1 = 10, what is x? (a) 33 (b) 29 (c) 9 (d) 27
  19. 19.If 5x + 2 = x + 34, what is x? (a) 10 (b) 8 (c) 7 (d) 9
  20. 20.If 3x − 4 = 14, what is x? (a) 6 (b) 5 (c) 7 (d) 18
  21. 21.If 2x − 17 = 7, what is x? (a) 12 (b) 13 (c) 24 (d) 11
  22. 22.If 8x + 3 = 35, what is x? (a) 32 (b) 3 (c) 5 (d) 4
  23. 23.If 4x + 7 = 67, what is x? (a) 60 (b) 16 (c) 15 (d) 14
  24. 24.If x/4 + 7 = 11, what is x? (a) 72 (b) 37 (c) 4 (d) 16
  25. 25.If 9x + 10 = 7x + 20, what is x? (a) 6 (b) 5 (c) 7 (d) 15
  26. 26.If 4x − 12 = 44, what is x? (a) 8 (b) 56 (c) 14 (d) 15
  27. 27.If 2x + 13 = 21, what is x? (a) 8 (b) 17 (c) 5 (d) 4
  28. 28.If 3x + 2 = 38, what is x? (a) 12 (b) 11 (c) 13 (d) 36
  29. 29.If 3x + 11 = 17, what is x? (a) 2 (b) 3 (c) 1 (d) 6
  30. 30.If 5x + 16 = 4x + 25, what is x? (a) 9 (b) 41 (c) 1 (d) 10
  31. 31.If 4x + 18 = 2x + 22, what is x? (a) 2 (b) 3 (c) 4 (d) 20
  32. 32.If 6x + 16 = 100, what is x? (a) 84 (b) 13 (c) 15 (d) 14
  33. 33.If x/2 + 4 = 6, what is x? (a) 2 (b) 4 (c) 8 (d) 20
  34. 34.If 2x + 3 = 15, what is x? (a) 9 (b) 12 (c) 7 (d) 6
  35. 35.If 2x + 9 = 35, what is x? (a) 22 (b) 14 (c) 13 (d) 26
  36. 36.If 7x + 2 = 72, what is x? (a) 70 (b) 11 (c) 10 (d) 9
  37. 37.If x/6 + 8 = 15, what is x? (a) 7 (b) 138 (c) 82 (d) 42
  38. 38.If 4x + 14 = 3x + 24, what is x? (a) 12 (b) 10 (c) 11 (d) 38
  39. 39.If 8x + 24 = 64, what is x? (a) 6 (b) 5 (c) 11 (d) 40
  40. 40.If 4x − 4 = 4, what is x? (a) 3 (b) 1 (c) 8 (d) 2

Answer key

  1. 11
  2. 12
  3. 3
  4. 3
  5. 15
  6. 5
  7. 3
  8. 8
  9. 8
  10. 15
  11. 4
  12. 18
  13. 15
  14. 4
  15. 13
  16. 12
  17. 5
  18. 27
  19. 8
  20. 6
  21. 12
  22. 4
  23. 15
  24. 16
  25. 5
  26. 14
  27. 4
  28. 12
  29. 2
  30. 9
  31. 2
  32. 14
  33. 4
  34. 6
  35. 13
  36. 10
  37. 42
  38. 10
  39. 5
  40. 2

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