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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 69 · 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 + 5 = 8, what is x? (a) 18 (b) 78 (c) 3 (d) 43
  2. 2.If 9x + 20 = 101, what is x? (a) 81 (b) 8 (c) 9 (d) 10
  3. 3.If 4x + 16 = 3x + 20, what is x? (a) 5 (b) 4 (c) 6 (d) 36
  4. 4.If 4x + 1 = 3x + 6, what is x? (a) 6 (b) 7 (c) 4 (d) 5
  5. 5.If 5x − 64 = 6, what is x? (a) 70 (b) 14 (c) 13 (d) 15
  6. 6.If x/5 + 12 = 20, what is x? (a) 8 (b) 40 (c) 88 (d) 160
  7. 7.If 9x + 16 = 6x + 34, what is x? (a) 5 (b) 8 (c) 7 (d) 6
  8. 8.If 8x + 20 = 68, what is x? (a) 7 (b) 48 (c) 6 (d) 11
  9. 9.If 9x + 4 = 2x + 32, what is x? (a) 3 (b) 6 (c) 4 (d) 5
  10. 10.If 4x + 8 = x + 41, what is x? (a) 11 (b) 13 (c) 12 (d) 10
  11. 11.If 9x + 3 = 6x + 6, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  12. 12.If x/3 + 3 = 6, what is x? (a) 9 (b) 27 (c) 3 (d) 15
  13. 13.If 6x − 82 = 8, what is x? (a) 14 (b) 16 (c) 15 (d) 90
  14. 14.If 3x + 20 = 2x + 27, what is x? (a) 47 (b) 7 (c) 8 (d) 9
  15. 15.If 7x − 3 = 11, what is x? (a) 1 (b) 2 (c) 3 (d) 14
  16. 16.If 4x − 7 = 37, what is x? (a) 10 (b) 11 (c) 12 (d) 44
  17. 17.If x/4 + 6 = 17, what is x? (a) 62 (b) 44 (c) 92 (d) 11
  18. 18.If x/5 + 5 = 16, what is x? (a) 75 (b) 11 (c) 105 (d) 55
  19. 19.If 5x − 16 = 14, what is x? (a) 7 (b) 5 (c) 30 (d) 6
  20. 20.If x/3 + 12 = 18, what is x? (a) 6 (b) 42 (c) 18 (d) 90
  21. 21.If 7x + 10 = 87, what is x? (a) 11 (b) 12 (c) 10 (d) 77
  22. 22.If 9x + 28 = 154, what is x? (a) 13 (b) 15 (c) 126 (d) 14
  23. 23.If x/2 + 2 = 6, what is x? (a) 10 (b) 4 (c) 8 (d) 16
  24. 24.If 9x + 11 = 5x + 27, what is x? (a) 4 (b) 3 (c) 6 (d) 5
  25. 25.If 8x + 6 = 7x + 11, what is x? (a) 7 (b) 6 (c) 17 (d) 5
  26. 26.If 8x + 1 = 4x + 9, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  27. 27.If 3x + 3 = 15, what is x? (a) 4 (b) 12 (c) 6 (d) 5
  28. 28.If 7x + 28 = 49, what is x? (a) 21 (b) 11 (c) 3 (d) 4
  29. 29.If 3x − 33 = 3, what is x? (a) 13 (b) 12 (c) 11 (d) 36
  30. 30.If 5x − 12 = 8, what is x? (a) 3 (b) 4 (c) 20 (d) 5
  31. 31.If x/2 + 4 = 11, what is x? (a) 14 (b) 30 (c) 18 (d) 7
  32. 32.If 8x + 21 = 61, what is x? (a) 5 (b) 6 (c) 40 (d) 4
  33. 33.If 6x − 4 = 80, what is x? (a) 15 (b) 84 (c) 13 (d) 14
  34. 34.If 6x − 14 = 16, what is x? (a) 30 (b) 6 (c) 4 (d) 5
  35. 35.If 9x + 5 = 5x + 13, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  36. 36.If 6x + 15 = 45, what is x? (a) 6 (b) 10 (c) 5 (d) 30
  37. 37.If 5x + 9 = 19, what is x? (a) 3 (b) 10 (c) 1 (d) 2
  38. 38.If x/6 + 11 = 19, what is x? (a) 8 (b) 103 (c) 180 (d) 48
  39. 39.If x/5 + 4 = 11, what is x? (a) 51 (b) 35 (c) 75 (d) 7
  40. 40.If 2x − 1 = 5, what is x? (a) 4 (b) 3 (c) 6 (d) 2

Answer key

  1. 18
  2. 9
  3. 4
  4. 5
  5. 14
  6. 40
  7. 6
  8. 6
  9. 4
  10. 11
  11. 1
  12. 9
  13. 15
  14. 7
  15. 2
  16. 11
  17. 44
  18. 55
  19. 6
  20. 18
  21. 11
  22. 14
  23. 8
  24. 4
  25. 5
  26. 2
  27. 4
  28. 3
  29. 12
  30. 4
  31. 14
  32. 5
  33. 14
  34. 5
  35. 2
  36. 5
  37. 2
  38. 48
  39. 35
  40. 3

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