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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 668 · 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 = 51, what is x? (a) 24 (b) 4 (c) 2 (d) 3
  2. 2.If 2x + 15 = 45, what is x? (a) 16 (b) 14 (c) 15 (d) 30
  3. 3.If 5x − 8 = 67, what is x? (a) 15 (b) 16 (c) 75 (d) 14
  4. 4.If 6x + 12 = 42, what is x? (a) 30 (b) 5 (c) 9 (d) 6
  5. 5.If x/6 + 12 = 17, what is x? (a) 5 (b) 174 (c) 30 (d) 90
  6. 6.If 7x + 5 = x + 23, what is x? (a) 5 (b) 4 (c) 3 (d) 2
  7. 7.If 4x − 14 = 6, what is x? (a) 20 (b) 6 (c) 4 (d) 5
  8. 8.If 6x + 20 = 2x + 60, what is x? (a) 20 (b) 10 (c) 5 (d) 11
  9. 9.If 9x + 19 = 4x + 34, what is x? (a) 3 (b) 2 (c) 5 (d) 4
  10. 10.If 9x + 16 = x + 104, what is x? (a) 13 (b) 15 (c) 12 (d) 11
  11. 11.If 2x + 29 = 37, what is x? (a) 8 (b) 4 (c) 5 (d) 33
  12. 12.If 9x + 11 = 3x + 71, what is x? (a) 10 (b) 11 (c) 12 (d) 5
  13. 13.If 9x + 3 = 111, what is x? (a) 12 (b) 108 (c) 11 (d) 13
  14. 14.If 3x + 2 = 2x + 14, what is x? (a) 14 (b) 16 (c) 12 (d) 13
  15. 15.If 9x + 3 = 2x + 24, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  16. 16.If x/2 + 15 = 18, what is x? (a) 3 (b) 21 (c) 66 (d) 6
  17. 17.If 5x + 10 = 60, what is x? (a) 14 (b) 11 (c) 50 (d) 10
  18. 18.If x/3 + 11 = 13, what is x? (a) 72 (b) 2 (c) 28 (d) 6
  19. 19.If 3x + 8 = 14, what is x? (a) 6 (b) 3 (c) 2 (d) 1
  20. 20.If 5x + 8 = 23, what is x? (a) 15 (b) 2 (c) 3 (d) 4
  21. 21.If 5x − 2 = 23, what is x? (a) 6 (b) 5 (c) 4 (d) 25
  22. 22.If 2x + 26 = 50, what is x? (a) 38 (b) 13 (c) 24 (d) 12
  23. 23.If 5x + 24 = 84, what is x? (a) 13 (b) 11 (c) 12 (d) 60
  24. 24.If 8x + 4 = x + 74, what is x? (a) 12 (b) 9 (c) 10 (d) 11
  25. 25.If x/3 + 12 = 17, what is x? (a) 87 (b) 5 (c) 39 (d) 15
  26. 26.If 4x − 3 = 29, what is x? (a) 9 (b) 8 (c) 32 (d) 7
  27. 27.If x/5 + 4 = 8, what is x? (a) 36 (b) 60 (c) 20 (d) 4
  28. 28.If 9x − 26 = 1, what is x? (a) 2 (b) 27 (c) 3 (d) 4
  29. 29.If 8x − 25 = 31, what is x? (a) 8 (b) 56 (c) 6 (d) 7
  30. 30.If 7x + 7 = 28, what is x? (a) 4 (b) 3 (c) 5 (d) 21
  31. 31.If 6x + 13 = 85, what is x? (a) 13 (b) 12 (c) 11 (d) 72
  32. 32.If 7x − 66 = 18, what is x? (a) 11 (b) 13 (c) 84 (d) 12
  33. 33.If 8x − 41 = 47, what is x? (a) 88 (b) 11 (c) 10 (d) 12
  34. 34.If 7x − 12 = 23, what is x? (a) 35 (b) 4 (c) 6 (d) 5
  35. 35.If 2x + 26 = 34, what is x? (a) 30 (b) 8 (c) 5 (d) 4
  36. 36.If 2x + 29 = 35, what is x? (a) 3 (b) 4 (c) 32 (d) 6
  37. 37.If x/3 + 15 = 18, what is x? (a) 39 (b) 9 (c) 99 (d) 3
  38. 38.If x/6 + 14 = 19, what is x? (a) 5 (b) 30 (c) 198 (d) 100
  39. 39.If 8x − 57 = 23, what is x? (a) 10 (b) 80 (c) 9 (d) 11
  40. 40.If 7x + 12 = 96, what is x? (a) 13 (b) 11 (c) 12 (d) 84

Answer key

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

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