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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 63 · 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 + 19 = 28, what is x? (a) 9 (b) 4 (c) 2 (d) 3
  2. 2.If 6x + 8 = 38, what is x? (a) 30 (b) 6 (c) 5 (d) 4
  3. 3.If 7x − 9 = 5, what is x? (a) 3 (b) 1 (c) 14 (d) 2
  4. 4.If 4x + 6 = 34, what is x? (a) 28 (b) 7 (c) 8 (d) 10
  5. 5.If 8x + 3 = 3x + 18, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  6. 6.If 5x + 26 = 96, what is x? (a) 70 (b) 15 (c) 13 (d) 14
  7. 7.If x/5 + 3 = 6, what is x? (a) 3 (b) 27 (c) 45 (d) 15
  8. 8.If 8x − 8 = 16, what is x? (a) 4 (b) 24 (c) 1 (d) 3
  9. 9.If 9x + 18 = 126, what is x? (a) 108 (b) 13 (c) 12 (d) 16
  10. 10.If x/3 + 12 = 18, what is x? (a) 90 (b) 42 (c) 6 (d) 18
  11. 11.If 3x + 19 = 49, what is x? (a) 9 (b) 10 (c) 11 (d) 30
  12. 12.If 4x + 18 = x + 51, what is x? (a) 11 (b) 12 (c) 23 (d) 13
  13. 13.If 8x + 5 = 4x + 21, what is x? (a) 4 (b) 5 (c) 6 (d) 3
  14. 14.If 3x − 2 = 13, what is x? (a) 4 (b) 6 (c) 15 (d) 5
  15. 15.If 3x + 25 = 67, what is x? (a) 15 (b) 42 (c) 13 (d) 14
  16. 16.If x/3 + 7 = 12, what is x? (a) 57 (b) 5 (c) 29 (d) 15
  17. 17.If 4x + 8 = 3x + 13, what is x? (a) 7 (b) 6 (c) 21 (d) 5
  18. 18.If 2x + 4 = 12, what is x? (a) 5 (b) 8 (c) 4 (d) 3
  19. 19.If 2x − 5 = 17, what is x? (a) 6 (b) 12 (c) 22 (d) 11
  20. 20.If 4x + 11 = 3x + 13, what is x? (a) 3 (b) 24 (c) 4 (d) 2
  21. 21.If 2x + 16 = 20, what is x? (a) 4 (b) 3 (c) 18 (d) 2
  22. 22.If x/6 + 14 = 16, what is x? (a) 180 (b) 2 (c) 82 (d) 12
  23. 23.If 2x + 12 = 38, what is x? (a) 14 (b) 26 (c) 13 (d) 25
  24. 24.If x/4 + 6 = 10, what is x? (a) 4 (b) 34 (c) 64 (d) 16
  25. 25.If 6x − 27 = 3, what is x? (a) 6 (b) 4 (c) 5 (d) 30
  26. 26.If x/2 + 13 = 18, what is x? (a) 5 (b) 62 (c) 23 (d) 10
  27. 27.If 4x + 26 = 34, what is x? (a) 2 (b) 3 (c) 8 (d) 15
  28. 28.If 2x + 6 = 10, what is x? (a) 4 (b) 2 (c) 3 (d) 8
  29. 29.If 9x + 2 = 65, what is x? (a) 6 (b) 8 (c) 7 (d) 63
  30. 30.If 3x + 6 = 2x + 7, what is x? (a) 13 (b) 2 (c) 3 (d) 1
  31. 31.If 2x + 24 = 40, what is x? (a) 9 (b) 16 (c) 8 (d) 32
  32. 32.If x/5 + 1 = 11, what is x? (a) 50 (b) 54 (c) 60 (d) 10
  33. 33.If 3x − 1 = 5, what is x? (a) 2 (b) 6 (c) 3 (d) 1
  34. 34.If 9x + 15 = x + 23, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  35. 35.If 3x + 8 = 2x + 16, what is x? (a) 9 (b) 10 (c) 8 (d) 24
  36. 36.If 6x + 17 = 89, what is x? (a) 13 (b) 72 (c) 12 (d) 11
  37. 37.If x/6 + 15 = 21, what is x? (a) 111 (b) 6 (c) 216 (d) 36
  38. 38.If 9x − 8 = 28, what is x? (a) 3 (b) 5 (c) 36 (d) 4
  39. 39.If 6x + 2 = 4x + 6, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  40. 40.If 5x + 18 = 4x + 29, what is x? (a) 47 (b) 12 (c) 13 (d) 11

Answer key

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

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