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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 365 · 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 8x + 27 = 115, what is x? (a) 11 (b) 10 (c) 88 (d) 12
  2. 2.If x/4 + 1 = 10, what is x? (a) 44 (b) 9 (c) 36 (d) 39
  3. 3.If x/2 + 6 = 8, what is x? (a) 4 (b) 2 (c) 28 (d) 10
  4. 4.If x/2 + 2 = 9, what is x? (a) 16 (b) 22 (c) 14 (d) 7
  5. 5.If 3x + 10 = 2x + 22, what is x? (a) 12 (b) 13 (c) 14 (d) 32
  6. 6.If 3x + 1 = 19, what is x? (a) 6 (b) 18 (c) 5 (d) 7
  7. 7.If x/5 + 13 = 17, what is x? (a) 4 (b) 20 (c) 150 (d) 72
  8. 8.If 5x − 10 = 5, what is x? (a) 4 (b) 2 (c) 3 (d) 15
  9. 9.If 8x − 30 = 74, what is x? (a) 14 (b) 12 (c) 13 (d) 104
  10. 10.If x/6 + 14 = 18, what is x? (a) 4 (b) 24 (c) 192 (d) 94
  11. 11.If 9x − 55 = 62, what is x? (a) 13 (b) 117 (c) 14 (d) 12
  12. 12.If 2x − 2 = 18, what is x? (a) 8 (b) 20 (c) 10 (d) 11
  13. 13.If 3x + 8 = 2x + 14, what is x? (a) 6 (b) 8 (c) 7 (d) 22
  14. 14.If x/6 + 6 = 8, what is x? (a) 42 (b) 2 (c) 12 (d) 84
  15. 15.If x/4 + 2 = 12, what is x? (a) 40 (b) 56 (c) 46 (d) 10
  16. 16.If 9x + 4 = 103, what is x? (a) 11 (b) 10 (c) 99 (d) 12
  17. 17.If x/6 + 1 = 4, what is x? (a) 3 (b) 18 (c) 30 (d) 23
  18. 18.If 3x − 8 = 10, what is x? (a) 18 (b) 7 (c) 6 (d) 5
  19. 19.If 3x + 3 = 48, what is x? (a) 45 (b) 15 (c) 17 (d) 16
  20. 20.If 9x + 13 = 58, what is x? (a) 5 (b) 6 (c) 4 (d) 45
  21. 21.If x/5 + 9 = 17, what is x? (a) 8 (b) 130 (c) 76 (d) 40
  22. 22.If 3x + 22 = 52, what is x? (a) 30 (b) 9 (c) 10 (d) 11
  23. 23.If 9x + 9 = x + 89, what is x? (a) 11 (b) 10 (c) 12 (d) 8
  24. 24.If 7x + 19 = 61, what is x? (a) 7 (b) 42 (c) 6 (d) 5
  25. 25.If x/5 + 6 = 11, what is x? (a) 85 (b) 49 (c) 25 (d) 5
  26. 26.If 5x + 4 = 34, what is x? (a) 7 (b) 30 (c) 6 (d) 5
  27. 27.If x/4 + 14 = 23, what is x? (a) 9 (b) 78 (c) 148 (d) 36
  28. 28.If x/2 + 4 = 10, what is x? (a) 28 (b) 6 (c) 12 (d) 16
  29. 29.If 7x + 29 = 120, what is x? (a) 12 (b) 91 (c) 13 (d) 14
  30. 30.If 2x + 24 = 50, what is x? (a) 26 (b) 14 (c) 37 (d) 13
  31. 31.If x/3 + 4 = 7, what is x? (a) 9 (b) 3 (c) 17 (d) 33
  32. 32.If 3x + 8 = 53, what is x? (a) 14 (b) 16 (c) 45 (d) 15
  33. 33.If 3x + 9 = 2x + 19, what is x? (a) 10 (b) 2 (c) 11 (d) 28
  34. 34.If 8x + 24 = 72, what is x? (a) 48 (b) 12 (c) 7 (d) 6
  35. 35.If 5x − 1 = 44, what is x? (a) 45 (b) 8 (c) 10 (d) 9
  36. 36.If x/2 + 15 = 17, what is x? (a) 2 (b) 4 (c) 19 (d) 64
  37. 37.If 3x + 12 = 2x + 14, what is x? (a) 26 (b) 3 (c) 2 (d) 4
  38. 38.If 7x − 5 = 86, what is x? (a) 14 (b) 12 (c) 91 (d) 13
  39. 39.If x/5 + 6 = 8, what is x? (a) 10 (b) 70 (c) 2 (d) 34
  40. 40.If x/3 + 1 = 3, what is x? (a) 2 (b) 12 (c) 6 (d) 8

Answer key

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

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