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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 180 · 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 x/2 + 4 = 15, what is x? (a) 26 (b) 38 (c) 11 (d) 22
  2. 2.If 6x + 5 = 95, what is x? (a) 90 (b) 16 (c) 15 (d) 14
  3. 3.If x/3 + 12 = 19, what is x? (a) 7 (b) 21 (c) 45 (d) 93
  4. 4.If 4x + 14 = x + 20, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  5. 5.If x/6 + 1 = 8, what is x? (a) 47 (b) 7 (c) 42 (d) 54
  6. 6.If 5x + 24 = 39, what is x? (a) 15 (b) 2 (c) 3 (d) 4
  7. 7.If 5x − 15 = 5, what is x? (a) 20 (b) 4 (c) 5 (d) 3
  8. 8.If 3x − 18 = 12, what is x? (a) 9 (b) 10 (c) 11 (d) 30
  9. 9.If x/5 + 9 = 18, what is x? (a) 45 (b) 81 (c) 135 (d) 9
  10. 10.If 3x + 5 = 44, what is x? (a) 12 (b) 13 (c) 39 (d) 14
  11. 11.If 3x + 28 = 58, what is x? (a) 30 (b) 11 (c) 9 (d) 10
  12. 12.If 8x + 4 = x + 67, what is x? (a) 11 (b) 9 (c) 10 (d) 7
  13. 13.If x/3 + 12 = 15, what is x? (a) 81 (b) 3 (c) 9 (d) 33
  14. 14.If x/4 + 2 = 10, what is x? (a) 32 (b) 38 (c) 8 (d) 48
  15. 15.If x/6 + 4 = 7, what is x? (a) 3 (b) 18 (c) 66 (d) 38
  16. 16.If 3x − 4 = 23, what is x? (a) 9 (b) 27 (c) 10 (d) 8
  17. 17.If 5x + 1 = x + 25, what is x? (a) 4 (b) 6 (c) 7 (d) 8
  18. 18.If 2x + 22 = 42, what is x? (a) 10 (b) 20 (c) 32 (d) 11
  19. 19.If x/2 + 6 = 9, what is x? (a) 12 (b) 3 (c) 30 (d) 6
  20. 20.If 6x + 2 = 56, what is x? (a) 54 (b) 8 (c) 10 (d) 9
  21. 21.If 3x + 11 = 20, what is x? (a) 2 (b) 9 (c) 4 (d) 3
  22. 22.If x/6 + 11 = 14, what is x? (a) 73 (b) 18 (c) 150 (d) 3
  23. 23.If x/3 + 15 = 26, what is x? (a) 63 (b) 33 (c) 11 (d) 123
  24. 24.If 8x + 13 = 3x + 18, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  25. 25.If 9x − 45 = 27, what is x? (a) 72 (b) 7 (c) 8 (d) 9
  26. 26.If 4x + 2 = 2x + 20, what is x? (a) 11 (b) 10 (c) 3 (d) 9
  27. 27.If 5x + 6 = 4x + 18, what is x? (a) 14 (b) 12 (c) 13 (d) 24
  28. 28.If 9x − 40 = 32, what is x? (a) 72 (b) 8 (c) 7 (d) 9
  29. 29.If x/5 + 2 = 4, what is x? (a) 10 (b) 2 (c) 18 (d) 30
  30. 30.If 4x + 27 = 83, what is x? (a) 15 (b) 14 (c) 56 (d) 13
  31. 31.If 6x + 13 = 97, what is x? (a) 84 (b) 14 (c) 15 (d) 13
  32. 32.If 7x + 16 = 4x + 43, what is x? (a) 10 (b) 11 (c) 8 (d) 9
  33. 33.If 3x + 15 = 27, what is x? (a) 14 (b) 4 (c) 5 (d) 12
  34. 34.If 8x + 28 = 116, what is x? (a) 18 (b) 12 (c) 88 (d) 11
  35. 35.If 3x + 5 = 2x + 6, what is x? (a) 3 (b) 11 (c) 2 (d) 1
  36. 36.If 2x − 6 = 8, what is x? (a) 1 (b) 7 (c) 14 (d) 8
  37. 37.If 9x + 4 = x + 60, what is x? (a) 9 (b) 6 (c) 8 (d) 7
  38. 38.If x/3 + 6 = 17, what is x? (a) 69 (b) 11 (c) 33 (d) 45
  39. 39.If 6x − 28 = 2, what is x? (a) 30 (b) 4 (c) 6 (d) 5
  40. 40.If 6x + 13 = 4x + 27, what is x? (a) 8 (b) 20 (c) 7 (d) 9

Answer key

  1. 22
  2. 15
  3. 21
  4. 2
  5. 42
  6. 3
  7. 4
  8. 10
  9. 45
  10. 13
  11. 10
  12. 9
  13. 9
  14. 32
  15. 18
  16. 9
  17. 6
  18. 10
  19. 6
  20. 9
  21. 3
  22. 18
  23. 33
  24. 1
  25. 8
  26. 9
  27. 12
  28. 8
  29. 10
  30. 14
  31. 14
  32. 9
  33. 4
  34. 11
  35. 1
  36. 7
  37. 7
  38. 33
  39. 5
  40. 7

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