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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 441 · 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 3x + 17 = x + 37, what is x? (a) 5 (b) 11 (c) 27 (d) 10
  2. 2.If 4x + 21 = 57, what is x? (a) 9 (b) 10 (c) 36 (d) 8
  3. 3.If 4x + 12 = x + 39, what is x? (a) 17 (b) 9 (c) 11 (d) 10
  4. 4.If 4x + 29 = 37, what is x? (a) 1 (b) 3 (c) 8 (d) 2
  5. 5.If 4x − 6 = 10, what is x? (a) 4 (b) 16 (c) 1 (d) 5
  6. 6.If 6x + 24 = 66, what is x? (a) 42 (b) 7 (c) 8 (d) 15
  7. 7.If x/3 + 15 = 24, what is x? (a) 9 (b) 117 (c) 27 (d) 57
  8. 8.If 5x − 44 = 31, what is x? (a) 16 (b) 14 (c) 75 (d) 15
  9. 9.If 2x − 4 = 20, what is x? (a) 12 (b) 8 (c) 24 (d) 13
  10. 10.If 7x − 20 = 15, what is x? (a) 4 (b) 35 (c) 6 (d) 5
  11. 11.If 4x + 3 = 31, what is x? (a) 7 (b) 6 (c) 28 (d) 8
  12. 12.If x/5 + 8 = 10, what is x? (a) 90 (b) 2 (c) 42 (d) 10
  13. 13.If 4x − 22 = 6, what is x? (a) 6 (b) 7 (c) 28 (d) 8
  14. 14.If 9x − 12 = 6, what is x? (a) 1 (b) 2 (c) 18 (d) 3
  15. 15.If 9x + 13 = x + 85, what is x? (a) 8 (b) 11 (c) 9 (d) 10
  16. 16.If 3x + 24 = 69, what is x? (a) 31 (b) 45 (c) 16 (d) 15
  17. 17.If 4x + 20 = 52, what is x? (a) 32 (b) 8 (c) 9 (d) 18
  18. 18.If x/3 + 9 = 20, what is x? (a) 33 (b) 11 (c) 87 (d) 51
  19. 19.If 5x + 17 = x + 21, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  20. 20.If 3x − 1 = 11, what is x? (a) 3 (b) 5 (c) 12 (d) 4
  21. 21.If 5x + 21 = 41, what is x? (a) 5 (b) 20 (c) 3 (d) 4
  22. 22.If 7x + 5 = 40, what is x? (a) 35 (b) 4 (c) 6 (d) 5
  23. 23.If 2x − 2 = 6, what is x? (a) 2 (b) 8 (c) 4 (d) 5
  24. 24.If 3x − 5 = 13, what is x? (a) 5 (b) 18 (c) 6 (d) 7
  25. 25.If 9x − 2 = 16, what is x? (a) 1 (b) 3 (c) 18 (d) 2
  26. 26.If 9x − 51 = 3, what is x? (a) 7 (b) 5 (c) 6 (d) 54
  27. 27.If 5x − 37 = 3, what is x? (a) 9 (b) 40 (c) 8 (d) 7
  28. 28.If 7x − 6 = 50, what is x? (a) 8 (b) 9 (c) 7 (d) 56
  29. 29.If x/2 + 2 = 8, what is x? (a) 20 (b) 14 (c) 6 (d) 12
  30. 30.If 5x + 4 = x + 36, what is x? (a) 9 (b) 7 (c) 8 (d) 10
  31. 31.If 3x + 6 = x + 14, what is x? (a) 5 (b) 4 (c) 10 (d) 2
  32. 32.If x/5 + 2 = 12, what is x? (a) 10 (b) 70 (c) 50 (d) 58
  33. 33.If 5x + 20 = 60, what is x? (a) 9 (b) 40 (c) 8 (d) 16
  34. 34.If x/6 + 5 = 12, what is x? (a) 42 (b) 102 (c) 67 (d) 7
  35. 35.If 6x − 26 = 28, what is x? (a) 54 (b) 9 (c) 8 (d) 10
  36. 36.If x/2 + 2 = 9, what is x? (a) 7 (b) 22 (c) 14 (d) 16
  37. 37.If 8x − 2 = 14, what is x? (a) 3 (b) 2 (c) 16 (d) 1
  38. 38.If 8x + 10 = x + 59, what is x? (a) 8 (b) 7 (c) 6 (d) 9
  39. 39.If x/5 + 1 = 4, what is x? (a) 3 (b) 25 (c) 15 (d) 19
  40. 40.If 3x + 8 = 53, what is x? (a) 45 (b) 16 (c) 15 (d) 14

Answer key

  1. 10
  2. 9
  3. 9
  4. 2
  5. 4
  6. 7
  7. 27
  8. 15
  9. 12
  10. 5
  11. 7
  12. 10
  13. 7
  14. 2
  15. 9
  16. 15
  17. 8
  18. 33
  19. 1
  20. 4
  21. 4
  22. 5
  23. 4
  24. 6
  25. 2
  26. 6
  27. 8
  28. 8
  29. 12
  30. 8
  31. 4
  32. 50
  33. 8
  34. 42
  35. 9
  36. 14
  37. 2
  38. 7
  39. 15
  40. 15

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