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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 353 · 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/6 + 2 = 8, what is x? (a) 60 (b) 46 (c) 36 (d) 6
  2. 2.If 5x + 6 = 2x + 9, what is x? (a) 2 (b) 5 (c) 1 (d) 3
  3. 3.If 7x + 21 = 105, what is x? (a) 18 (b) 13 (c) 84 (d) 12
  4. 4.If x/6 + 9 = 11, what is x? (a) 12 (b) 57 (c) 120 (d) 2
  5. 5.If 3x + 24 = 48, what is x? (a) 24 (b) 7 (c) 8 (d) 9
  6. 6.If x/6 + 9 = 21, what is x? (a) 117 (b) 72 (c) 12 (d) 180
  7. 7.If 4x − 23 = 25, what is x? (a) 48 (b) 13 (c) 11 (d) 12
  8. 8.If 9x + 18 = 2x + 81, what is x? (a) 8 (b) 11 (c) 10 (d) 9
  9. 9.If x/6 + 2 = 6, what is x? (a) 48 (b) 24 (c) 34 (d) 4
  10. 10.If 4x + 2 = 42, what is x? (a) 11 (b) 10 (c) 9 (d) 40
  11. 11.If x/2 + 11 = 23, what is x? (a) 24 (b) 68 (c) 12 (d) 35
  12. 12.If 3x + 16 = x + 26, what is x? (a) 6 (b) 7 (c) 21 (d) 5
  13. 13.If 3x + 20 = 56, what is x? (a) 13 (b) 11 (c) 12 (d) 36
  14. 14.If 9x + 30 = 75, what is x? (a) 4 (b) 5 (c) 45 (d) 6
  15. 15.If 6x + 6 = 54, what is x? (a) 8 (b) 9 (c) 48 (d) 10
  16. 16.If 4x + 27 = 39, what is x? (a) 3 (b) 12 (c) 2 (d) 4
  17. 17.If 5x + 12 = 2x + 15, what is x? (a) 2 (b) 9 (c) 1 (d) 3
  18. 18.If 2x − 3 = 13, what is x? (a) 5 (b) 16 (c) 9 (d) 8
  19. 19.If 6x + 11 = 5x + 19, what is x? (a) 9 (b) 8 (c) 10 (d) 30
  20. 20.If x/4 + 1 = 6, what is x? (a) 23 (b) 20 (c) 28 (d) 5
  21. 21.If 2x + 2 = 18, what is x? (a) 16 (b) 10 (c) 9 (d) 8
  22. 22.If 6x − 83 = 1, what is x? (a) 84 (b) 13 (c) 15 (d) 14
  23. 23.If x/3 + 3 = 14, what is x? (a) 33 (b) 39 (c) 51 (d) 11
  24. 24.If 4x + 12 = 64, what is x? (a) 13 (b) 14 (c) 19 (d) 52
  25. 25.If 3x − 1 = 8, what is x? (a) 4 (b) 9 (c) 3 (d) 2
  26. 26.If 2x − 4 = 16, what is x? (a) 6 (b) 11 (c) 10 (d) 20
  27. 27.If 9x + 24 = 42, what is x? (a) 3 (b) 1 (c) 18 (d) 2
  28. 28.If 9x + 4 = 7x + 10, what is x? (a) 3 (b) 7 (c) 5 (d) 4
  29. 29.If 5x − 31 = 9, what is x? (a) 7 (b) 40 (c) 9 (d) 8
  30. 30.If 9x + 19 = x + 43, what is x? (a) 2 (b) 4 (c) 3 (d) 5
  31. 31.If 3x + 23 = 59, what is x? (a) 11 (b) 13 (c) 12 (d) 36
  32. 32.If x/2 + 8 = 10, what is x? (a) 12 (b) 2 (c) 36 (d) 4
  33. 33.If 4x − 2 = 30, what is x? (a) 7 (b) 9 (c) 8 (d) 32
  34. 34.If 7x + 20 = 5x + 30, what is x? (a) 7 (b) 25 (c) 6 (d) 5
  35. 35.If x/4 + 15 = 22, what is x? (a) 7 (b) 148 (c) 28 (d) 73
  36. 36.If x/4 + 9 = 15, what is x? (a) 51 (b) 24 (c) 96 (d) 6
  37. 37.If x/3 + 13 = 20, what is x? (a) 99 (b) 7 (c) 47 (d) 21
  38. 38.If 2x − 13 = 15, what is x? (a) 14 (b) 15 (c) 28 (d) 1
  39. 39.If x/5 + 8 = 14, what is x? (a) 6 (b) 30 (c) 110 (d) 62
  40. 40.If 9x − 110 = 25, what is x? (a) 135 (b) 14 (c) 15 (d) 16

Answer key

  1. 36
  2. 1
  3. 12
  4. 12
  5. 8
  6. 72
  7. 12
  8. 9
  9. 24
  10. 10
  11. 24
  12. 5
  13. 12
  14. 5
  15. 8
  16. 3
  17. 1
  18. 8
  19. 8
  20. 20
  21. 8
  22. 14
  23. 33
  24. 13
  25. 3
  26. 10
  27. 2
  28. 3
  29. 8
  30. 3
  31. 12
  32. 4
  33. 8
  34. 5
  35. 28
  36. 24
  37. 21
  38. 14
  39. 30
  40. 15

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