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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 128 · 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 = 2x + 18, what is x? (a) 35 (b) 3 (c) 2 (d) 1
  2. 2.If 4x − 1 = 43, what is x? (a) 10 (b) 12 (c) 44 (d) 11
  3. 3.If 4x + 2 = 2x + 12, what is x? (a) 6 (b) 7 (c) 4 (d) 5
  4. 4.If 9x + 19 = 5x + 39, what is x? (a) 6 (b) 7 (c) 4 (d) 5
  5. 5.If 8x − 23 = 9, what is x? (a) 32 (b) 3 (c) 5 (d) 4
  6. 6.If 8x + 6 = 2x + 36, what is x? (a) 6 (b) 3 (c) 5 (d) 7
  7. 7.If 7x + 27 = 41, what is x? (a) 1 (b) 2 (c) 14 (d) 3
  8. 8.If 9x + 30 = 66, what is x? (a) 36 (b) 5 (c) 3 (d) 4
  9. 9.If x/2 + 2 = 8, what is x? (a) 20 (b) 14 (c) 12 (d) 6
  10. 10.If 7x − 54 = 51, what is x? (a) 14 (b) 15 (c) 105 (d) 16
  11. 11.If x/2 + 6 = 12, what is x? (a) 6 (b) 36 (c) 18 (d) 12
  12. 12.If 9x + 18 = 7x + 26, what is x? (a) 5 (b) 6 (c) 22 (d) 4
  13. 13.If 6x + 24 = 78, what is x? (a) 9 (b) 10 (c) 54 (d) 17
  14. 14.If x/2 + 12 = 18, what is x? (a) 60 (b) 24 (c) 6 (d) 12
  15. 15.If 6x + 13 = 5x + 24, what is x? (a) 37 (b) 1 (c) 11 (d) 12
  16. 16.If 9x − 71 = 1, what is x? (a) 8 (b) 72 (c) 9 (d) 7
  17. 17.If x/4 + 12 = 18, what is x? (a) 60 (b) 6 (c) 24 (d) 120
  18. 18.If 4x + 2 = 22, what is x? (a) 20 (b) 4 (c) 5 (d) 6
  19. 19.If 5x − 17 = 38, what is x? (a) 55 (b) 10 (c) 11 (d) 12
  20. 20.If 7x + 9 = 93, what is x? (a) 12 (b) 11 (c) 13 (d) 84
  21. 21.If 2x − 15 = 13, what is x? (a) 15 (b) 13 (c) 14 (d) 28
  22. 22.If x/4 + 2 = 6, what is x? (a) 22 (b) 32 (c) 16 (d) 4
  23. 23.If 8x − 71 = 41, what is x? (a) 13 (b) 15 (c) 14 (d) 112
  24. 24.If x/3 + 8 = 18, what is x? (a) 30 (b) 46 (c) 10 (d) 78
  25. 25.If x/5 + 3 = 13, what is x? (a) 62 (b) 10 (c) 50 (d) 80
  26. 26.If 8x − 20 = 4, what is x? (a) 2 (b) 24 (c) 4 (d) 3
  27. 27.If 9x + 8 = 8x + 9, what is x? (a) 2 (b) 3 (c) 1 (d) 17
  28. 28.If 5x + 18 = 4x + 22, what is x? (a) 4 (b) 6 (c) 40 (d) 5
  29. 29.If 9x − 111 = 15, what is x? (a) 126 (b) 15 (c) 14 (d) 13
  30. 30.If 9x + 27 = 162, what is x? (a) 16 (b) 15 (c) 135 (d) 21
  31. 31.If 3x + 6 = 36, what is x? (a) 30 (b) 10 (c) 11 (d) 14
  32. 32.If 2x − 2 = 8, what is x? (a) 5 (b) 10 (c) 3 (d) 6
  33. 33.If 3x + 15 = x + 21, what is x? (a) 3 (b) 4 (c) 18 (d) 5
  34. 34.If 5x − 18 = 12, what is x? (a) 30 (b) 7 (c) 5 (d) 6
  35. 35.If 2x − 18 = 10, what is x? (a) 14 (b) 28 (c) 13 (d) 15
  36. 36.If x/5 + 1 = 5, what is x? (a) 30 (b) 4 (c) 24 (d) 20
  37. 37.If 3x + 7 = 2x + 8, what is x? (a) 15 (b) 2 (c) 3 (d) 1
  38. 38.If 8x + 13 = 2x + 85, what is x? (a) 13 (b) 14 (c) 12 (d) 11
  39. 39.If 4x + 13 = 49, what is x? (a) 8 (b) 9 (c) 10 (d) 36
  40. 40.If 8x + 19 = 43, what is x? (a) 2 (b) 24 (c) 3 (d) 4

Answer key

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

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