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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 50 · 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 2x + 11 = 39, what is x? (a) 14 (b) 15 (c) 28 (d) 25
  2. 2.If 3x + 14 = x + 20, what is x? (a) 17 (b) 4 (c) 3 (d) 5
  3. 3.If x/2 + 13 = 22, what is x? (a) 31 (b) 18 (c) 70 (d) 9
  4. 4.If 4x + 19 = x + 52, what is x? (a) 10 (b) 12 (c) 13 (d) 11
  5. 5.If x/3 + 8 = 10, what is x? (a) 2 (b) 6 (c) 22 (d) 54
  6. 6.If 5x + 15 = 25, what is x? (a) 10 (b) 8 (c) 3 (d) 2
  7. 7.If 9x + 19 = 8x + 25, what is x? (a) 6 (b) 44 (c) 7 (d) 8
  8. 8.If 3x − 6 = 3, what is x? (a) 2 (b) 4 (c) 9 (d) 3
  9. 9.If 3x + 16 = 22, what is x? (a) 3 (b) 2 (c) 1 (d) 6
  10. 10.If 8x − 72 = 40, what is x? (a) 15 (b) 112 (c) 14 (d) 13
  11. 11.If 8x + 20 = 2x + 92, what is x? (a) 14 (b) 11 (c) 12 (d) 13
  12. 12.If 9x + 12 = 48, what is x? (a) 3 (b) 36 (c) 5 (d) 4
  13. 13.If x/4 + 4 = 10, what is x? (a) 36 (b) 24 (c) 6 (d) 56
  14. 14.If 7x + 4 = 32, what is x? (a) 5 (b) 4 (c) 3 (d) 28
  15. 15.If x/4 + 2 = 14, what is x? (a) 48 (b) 12 (c) 64 (d) 54
  16. 16.If 4x + 9 = 3x + 19, what is x? (a) 28 (b) 11 (c) 12 (d) 10
  17. 17.If 5x + 8 = 23, what is x? (a) 2 (b) 3 (c) 4 (d) 15
  18. 18.If x/6 + 5 = 7, what is x? (a) 2 (b) 72 (c) 37 (d) 12
  19. 19.If 9x + 12 = 5x + 32, what is x? (a) 11 (b) 7 (c) 6 (d) 5
  20. 20.If 2x + 6 = 16, what is x? (a) 10 (b) 6 (c) 5 (d) 11
  21. 21.If 4x + 5 = 3x + 8, what is x? (a) 13 (b) 3 (c) 5 (d) 4
  22. 22.If x/2 + 9 = 12, what is x? (a) 15 (b) 42 (c) 3 (d) 6
  23. 23.If 2x + 13 = 39, what is x? (a) 26 (b) 14 (c) 13 (d) 12
  24. 24.If 3x − 10 = 35, what is x? (a) 15 (b) 14 (c) 45 (d) 16
  25. 25.If 2x + 24 = 34, what is x? (a) 10 (b) 6 (c) 5 (d) 29
  26. 26.If x/5 + 4 = 7, what is x? (a) 15 (b) 55 (c) 31 (d) 3
  27. 27.If 4x + 28 = 56, what is x? (a) 8 (b) 28 (c) 21 (d) 7
  28. 28.If 9x + 4 = 94, what is x? (a) 90 (b) 10 (c) 11 (d) 9
  29. 29.If 4x + 1 = x + 7, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  30. 30.If 3x − 2 = 4, what is x? (a) 3 (b) 1 (c) 6 (d) 2
  31. 31.If 4x + 20 = 32, what is x? (a) 3 (b) 13 (c) 4 (d) 12
  32. 32.If 4x − 30 = 6, what is x? (a) 8 (b) 10 (c) 9 (d) 36
  33. 33.If 3x + 10 = 2x + 19, what is x? (a) 29 (b) 9 (c) 11 (d) 10
  34. 34.If 3x + 10 = x + 20, what is x? (a) 5 (b) 6 (c) 15 (d) 7
  35. 35.If 4x + 2 = 3x + 10, what is x? (a) 12 (b) 10 (c) 9 (d) 8
  36. 36.If x/3 + 9 = 16, what is x? (a) 39 (b) 7 (c) 21 (d) 75
  37. 37.If 5x − 17 = 3, what is x? (a) 3 (b) 5 (c) 4 (d) 20
  38. 38.If x/2 + 14 = 20, what is x? (a) 26 (b) 6 (c) 12 (d) 68
  39. 39.If 8x − 48 = 40, what is x? (a) 11 (b) 88 (c) 12 (d) 10
  40. 40.If x/6 + 6 = 16, what is x? (a) 132 (b) 60 (c) 10 (d) 90

Answer key

  1. 14
  2. 3
  3. 18
  4. 11
  5. 6
  6. 2
  7. 6
  8. 3
  9. 2
  10. 14
  11. 12
  12. 4
  13. 24
  14. 4
  15. 48
  16. 10
  17. 3
  18. 12
  19. 5
  20. 5
  21. 3
  22. 6
  23. 13
  24. 15
  25. 5
  26. 15
  27. 7
  28. 10
  29. 2
  30. 2
  31. 3
  32. 9
  33. 9
  34. 5
  35. 8
  36. 21
  37. 4
  38. 12
  39. 11
  40. 60

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