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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 299 · 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 − 17 = 19, what is x? (a) 8 (b) 10 (c) 9 (d) 36
  2. 2.If 9x − 25 = 2, what is x? (a) 4 (b) 27 (c) 2 (d) 3
  3. 3.If 7x + 4 = 4x + 22, what is x? (a) 8 (b) 7 (c) 5 (d) 6
  4. 4.If 9x + 23 = 158, what is x? (a) 16 (b) 135 (c) 14 (d) 15
  5. 5.If 5x + 1 = x + 9, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  6. 6.If x/4 + 7 = 18, what is x? (a) 44 (b) 100 (c) 65 (d) 11
  7. 7.If 6x + 12 = 48, what is x? (a) 36 (b) 10 (c) 6 (d) 7
  8. 8.If x/6 + 6 = 17, what is x? (a) 66 (b) 96 (c) 138 (d) 11
  9. 9.If 5x − 8 = 2, what is x? (a) 2 (b) 1 (c) 10 (d) 3
  10. 10.If 9x − 18 = 9, what is x? (a) 3 (b) 2 (c) 27 (d) 4
  11. 11.If 9x + 8 = 125, what is x? (a) 117 (b) 14 (c) 12 (d) 13
  12. 12.If 4x + 8 = x + 17, what is x? (a) 4 (b) 3 (c) 2 (d) 5
  13. 13.If 7x + 4 = 18, what is x? (a) 2 (b) 14 (c) 1 (d) 3
  14. 14.If x/2 + 4 = 10, what is x? (a) 28 (b) 6 (c) 12 (d) 16
  15. 15.If 3x + 5 = 32, what is x? (a) 10 (b) 8 (c) 9 (d) 27
  16. 16.If x/3 + 3 = 15, what is x? (a) 42 (b) 12 (c) 54 (d) 36
  17. 17.If 8x + 22 = 118, what is x? (a) 96 (b) 12 (c) 13 (d) 11
  18. 18.If x/2 + 5 = 13, what is x? (a) 16 (b) 21 (c) 36 (d) 8
  19. 19.If 9x + 27 = 81, what is x? (a) 12 (b) 54 (c) 6 (d) 7
  20. 20.If 6x + 12 = 5x + 18, what is x? (a) 8 (b) 6 (c) 30 (d) 7
  21. 21.If 6x + 9 = 5x + 15, what is x? (a) 6 (b) 24 (c) 8 (d) 7
  22. 22.If 7x + 25 = 39, what is x? (a) 3 (b) 1 (c) 2 (d) 14
  23. 23.If x/3 + 5 = 15, what is x? (a) 40 (b) 60 (c) 10 (d) 30
  24. 24.If 3x + 1 = x + 13, what is x? (a) 7 (b) 3 (c) 8 (d) 6
  25. 25.If 2x − 6 = 6, what is x? (a) 12 (b) 5 (c) 7 (d) 6
  26. 26.If 8x + 26 = 138, what is x? (a) 13 (b) 14 (c) 112 (d) 15
  27. 27.If 3x − 13 = 2, what is x? (a) 4 (b) 6 (c) 15 (d) 5
  28. 28.If 6x + 14 = 5x + 16, what is x? (a) 3 (b) 4 (c) 30 (d) 2
  29. 29.If 3x + 3 = 2x + 14, what is x? (a) 17 (b) 13 (c) 12 (d) 11
  30. 30.If x/3 + 4 = 8, what is x? (a) 12 (b) 20 (c) 4 (d) 36
  31. 31.If 9x − 50 = 13, what is x? (a) 6 (b) 8 (c) 7 (d) 63
  32. 32.If 3x + 1 = 2x + 2, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  33. 33.If x/2 + 8 = 10, what is x? (a) 36 (b) 4 (c) 12 (d) 2
  34. 34.If x/2 + 7 = 19, what is x? (a) 31 (b) 24 (c) 52 (d) 12
  35. 35.If 7x + 2 = 79, what is x? (a) 77 (b) 12 (c) 10 (d) 11
  36. 36.If 9x + 17 = 152, what is x? (a) 16 (b) 15 (c) 135 (d) 14
  37. 37.If x/3 + 12 = 24, what is x? (a) 36 (b) 12 (c) 60 (d) 108
  38. 38.If 8x + 5 = 7x + 15, what is x? (a) 20 (b) 10 (c) 11 (d) 12
  39. 39.If 2x − 3 = 11, what is x? (a) 14 (b) 4 (c) 8 (d) 7
  40. 40.If x/5 + 1 = 3, what is x? (a) 2 (b) 20 (c) 10 (d) 14

Answer key

  1. 9
  2. 3
  3. 6
  4. 15
  5. 2
  6. 44
  7. 6
  8. 66
  9. 2
  10. 3
  11. 13
  12. 3
  13. 2
  14. 12
  15. 9
  16. 36
  17. 12
  18. 16
  19. 6
  20. 6
  21. 6
  22. 2
  23. 30
  24. 6
  25. 6
  26. 14
  27. 5
  28. 2
  29. 11
  30. 12
  31. 7
  32. 1
  33. 4
  34. 24
  35. 11
  36. 15
  37. 36
  38. 10
  39. 7
  40. 10

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