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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 835 · 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 4x − 23 = 29, what is x? (a) 13 (b) 52 (c) 14 (d) 12
  2. 2.If x/2 + 5 = 14, what is x? (a) 38 (b) 9 (c) 18 (d) 23
  3. 3.If 8x + 16 = 64, what is x? (a) 48 (b) 7 (c) 6 (d) 10
  4. 4.If 3x + 16 = 2x + 21, what is x? (a) 6 (b) 5 (c) 1 (d) 37
  5. 5.If x/5 + 3 = 7, what is x? (a) 32 (b) 20 (c) 50 (d) 4
  6. 6.If 7x + 5 = 6x + 14, what is x? (a) 11 (b) 19 (c) 10 (d) 9
  7. 7.If 3x + 4 = 2x + 5, what is x? (a) 2 (b) 1 (c) 9 (d) 3
  8. 8.If 5x + 13 = 48, what is x? (a) 8 (b) 6 (c) 7 (d) 35
  9. 9.If x/4 + 10 = 19, what is x? (a) 9 (b) 116 (c) 36 (d) 66
  10. 10.If 2x + 13 = 43, what is x? (a) 28 (b) 15 (c) 16 (d) 30
  11. 11.If x/2 + 15 = 20, what is x? (a) 25 (b) 70 (c) 5 (d) 10
  12. 12.If x/2 + 15 = 23, what is x? (a) 31 (b) 76 (c) 8 (d) 16
  13. 13.If 2x − 11 = 5, what is x? (a) 7 (b) 9 (c) 16 (d) 8
  14. 14.If 4x + 3 = x + 15, what is x? (a) 6 (b) 3 (c) 4 (d) 5
  15. 15.If 6x − 17 = 37, what is x? (a) 54 (b) 8 (c) 10 (d) 9
  16. 16.If 9x + 7 = 8x + 10, what is x? (a) 5 (b) 3 (c) 17 (d) 4
  17. 17.If 9x + 7 = 34, what is x? (a) 3 (b) 27 (c) 2 (d) 4
  18. 18.If 4x + 19 = 27, what is x? (a) 8 (b) 1 (c) 3 (d) 2
  19. 19.If x/5 + 7 = 16, what is x? (a) 9 (b) 45 (c) 73 (d) 115
  20. 20.If 8x + 12 = 44, what is x? (a) 5 (b) 4 (c) 32 (d) 7
  21. 21.If 4x + 14 = 3x + 19, what is x? (a) 7 (b) 33 (c) 6 (d) 5
  22. 22.If 6x + 3 = 21, what is x? (a) 2 (b) 3 (c) 18 (d) 4
  23. 23.If 7x − 5 = 100, what is x? (a) 14 (b) 105 (c) 16 (d) 15
  24. 24.If 7x − 5 = 9, what is x? (a) 3 (b) 14 (c) 1 (d) 2
  25. 25.If x/2 + 13 = 17, what is x? (a) 4 (b) 21 (c) 60 (d) 8
  26. 26.If 8x + 19 = 51, what is x? (a) 3 (b) 4 (c) 32 (d) 5
  27. 27.If 9x + 3 = 39, what is x? (a) 36 (b) 3 (c) 5 (d) 4
  28. 28.If x/2 + 14 = 25, what is x? (a) 78 (b) 22 (c) 36 (d) 11
  29. 29.If 2x − 11 = 3, what is x? (a) 6 (b) 7 (c) 14 (d) 8
  30. 30.If 6x + 5 = 2x + 25, what is x? (a) 4 (b) 7 (c) 5 (d) 6
  31. 31.If 7x − 9 = 5, what is x? (a) 2 (b) 14 (c) 1 (d) 3
  32. 32.If x/3 + 11 = 20, what is x? (a) 93 (b) 9 (c) 27 (d) 49
  33. 33.If 9x + 5 = 86, what is x? (a) 10 (b) 81 (c) 9 (d) 8
  34. 34.If 4x − 1 = 47, what is x? (a) 11 (b) 12 (c) 48 (d) 13
  35. 35.If 5x + 4 = 3x + 24, what is x? (a) 14 (b) 10 (c) 12 (d) 11
  36. 36.If 5x − 7 = 13, what is x? (a) 3 (b) 20 (c) 5 (d) 4
  37. 37.If 3x − 5 = 10, what is x? (a) 15 (b) 5 (c) 4 (d) 6
  38. 38.If 4x + 15 = 2x + 21, what is x? (a) 1 (b) 4 (c) 3 (d) 18
  39. 39.If 3x + 2 = x + 12, what is x? (a) 7 (b) 5 (c) 6 (d) 4
  40. 40.If 4x − 3 = 57, what is x? (a) 60 (b) 14 (c) 16 (d) 15

Answer key

  1. 13
  2. 18
  3. 6
  4. 5
  5. 20
  6. 9
  7. 1
  8. 7
  9. 36
  10. 15
  11. 10
  12. 16
  13. 8
  14. 4
  15. 9
  16. 3
  17. 3
  18. 2
  19. 45
  20. 4
  21. 5
  22. 3
  23. 15
  24. 2
  25. 8
  26. 4
  27. 4
  28. 22
  29. 7
  30. 5
  31. 2
  32. 27
  33. 9
  34. 12
  35. 10
  36. 4
  37. 5
  38. 3
  39. 5
  40. 15

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