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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 659 · 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 + 9 = 13, what is x? (a) 4 (b) 132 (c) 69 (d) 24
  2. 2.If x/2 + 12 = 15, what is x? (a) 3 (b) 18 (c) 6 (d) 54
  3. 3.If 7x − 7 = 14, what is x? (a) 4 (b) 3 (c) 1 (d) 21
  4. 4.If 9x + 11 = 4x + 46, what is x? (a) 6 (b) 7 (c) 8 (d) 9
  5. 5.If 9x + 25 = 79, what is x? (a) 6 (b) 7 (c) 5 (d) 54
  6. 6.If 8x + 5 = 6x + 7, what is x? (a) 3 (b) 6 (c) 1 (d) 2
  7. 7.If 3x + 22 = 52, what is x? (a) 30 (b) 11 (c) 10 (d) 9
  8. 8.If x/3 + 6 = 15, what is x? (a) 27 (b) 39 (c) 9 (d) 63
  9. 9.If 7x − 90 = 8, what is x? (a) 98 (b) 15 (c) 13 (d) 14
  10. 10.If 8x + 11 = 83, what is x? (a) 9 (b) 8 (c) 10 (d) 72
  11. 11.If x/6 + 10 = 16, what is x? (a) 156 (b) 86 (c) 36 (d) 6
  12. 12.If 4x + 10 = 18, what is x? (a) 7 (b) 8 (c) 3 (d) 2
  13. 13.If 4x + 10 = 2x + 14, what is x? (a) 2 (b) 3 (c) 4 (d) 12
  14. 14.If 8x + 28 = 116, what is x? (a) 12 (b) 11 (c) 88 (d) 18
  15. 15.If 9x − 26 = 1, what is x? (a) 3 (b) 2 (c) 4 (d) 27
  16. 16.If 2x − 20 = 8, what is x? (a) 13 (b) 28 (c) 15 (d) 14
  17. 17.If x/6 + 6 = 16, what is x? (a) 10 (b) 60 (c) 90 (d) 132
  18. 18.If 2x + 3 = 19, what is x? (a) 11 (b) 8 (c) 16 (d) 9
  19. 19.If 5x − 35 = 5, what is x? (a) 40 (b) 8 (c) 7 (d) 9
  20. 20.If 3x + 14 = 2x + 20, what is x? (a) 8 (b) 34 (c) 7 (d) 6
  21. 21.If x/6 + 3 = 8, what is x? (a) 45 (b) 30 (c) 66 (d) 5
  22. 22.If 6x + 14 = 50, what is x? (a) 36 (b) 7 (c) 5 (d) 6
  23. 23.If x/2 + 1 = 5, what is x? (a) 4 (b) 9 (c) 12 (d) 8
  24. 24.If x/6 + 3 = 14, what is x? (a) 81 (b) 66 (c) 102 (d) 11
  25. 25.If 8x + 26 = 122, what is x? (a) 13 (b) 11 (c) 96 (d) 12
  26. 26.If x/2 + 6 = 12, what is x? (a) 12 (b) 18 (c) 36 (d) 6
  27. 27.If 6x − 15 = 39, what is x? (a) 10 (b) 9 (c) 54 (d) 4
  28. 28.If 5x + 12 = 2x + 45, what is x? (a) 13 (b) 12 (c) 19 (d) 11
  29. 29.If x/5 + 3 = 12, what is x? (a) 45 (b) 75 (c) 57 (d) 9
  30. 30.If 7x − 26 = 23, what is x? (a) 7 (b) 49 (c) 6 (d) 8
  31. 31.If 5x + 14 = x + 18, what is x? (a) 2 (b) 1 (c) 3 (d) 8
  32. 32.If 8x − 46 = 26, what is x? (a) 72 (b) 10 (c) 9 (d) 8
  33. 33.If 3x + 3 = x + 17, what is x? (a) 10 (b) 7 (c) 8 (d) 9
  34. 34.If 8x − 16 = 80, what is x? (a) 13 (b) 96 (c) 12 (d) 8
  35. 35.If 3x + 15 = x + 39, what is x? (a) 27 (b) 6 (c) 13 (d) 12
  36. 36.If 7x + 15 = 2x + 45, what is x? (a) 8 (b) 6 (c) 12 (d) 7
  37. 37.If x/3 + 15 = 19, what is x? (a) 102 (b) 12 (c) 4 (d) 42
  38. 38.If x/4 + 6 = 15, what is x? (a) 9 (b) 36 (c) 84 (d) 54
  39. 39.If 9x + 7 = 70, what is x? (a) 6 (b) 63 (c) 7 (d) 8
  40. 40.If 9x + 8 = 98, what is x? (a) 11 (b) 10 (c) 90 (d) 9

Answer key

  1. 24
  2. 6
  3. 3
  4. 7
  5. 6
  6. 1
  7. 10
  8. 27
  9. 14
  10. 9
  11. 36
  12. 2
  13. 2
  14. 11
  15. 3
  16. 14
  17. 60
  18. 8
  19. 8
  20. 6
  21. 30
  22. 6
  23. 8
  24. 66
  25. 12
  26. 12
  27. 9
  28. 11
  29. 45
  30. 7
  31. 1
  32. 9
  33. 7
  34. 12
  35. 12
  36. 6
  37. 12
  38. 36
  39. 7
  40. 10

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