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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 194 · 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 6x + 17 = 5x + 26, what is x? (a) 43 (b) 9 (c) 10 (d) 11
  2. 2.If 3x + 8 = 17, what is x? (a) 4 (b) 9 (c) 2 (d) 3
  3. 3.If 5x + 27 = 62, what is x? (a) 8 (b) 35 (c) 7 (d) 6
  4. 4.If x/3 + 12 = 23, what is x? (a) 33 (b) 11 (c) 105 (d) 57
  5. 5.If 3x + 2 = 26, what is x? (a) 9 (b) 8 (c) 24 (d) 7
  6. 6.If 7x + 12 = 5x + 22, what is x? (a) 6 (b) 17 (c) 7 (d) 5
  7. 7.If 2x + 9 = 17, what is x? (a) 5 (b) 13 (c) 8 (d) 4
  8. 8.If 4x − 19 = 1, what is x? (a) 4 (b) 5 (c) 20 (d) 6
  9. 9.If 2x − 9 = 5, what is x? (a) 7 (b) 14 (c) 6 (d) 8
  10. 10.If 3x + 7 = 2x + 14, what is x? (a) 21 (b) 9 (c) 7 (d) 8
  11. 11.If 8x + 16 = 96, what is x? (a) 80 (b) 10 (c) 14 (d) 11
  12. 12.If x/3 + 13 = 15, what is x? (a) 2 (b) 32 (c) 6 (d) 84
  13. 13.If 8x − 14 = 10, what is x? (a) 2 (b) 24 (c) 3 (d) 4
  14. 14.If 7x + 13 = 118, what is x? (a) 14 (b) 105 (c) 16 (d) 15
  15. 15.If 8x − 16 = 16, what is x? (a) 3 (b) 4 (c) 32 (d) 5
  16. 16.If x/4 + 6 = 17, what is x? (a) 11 (b) 62 (c) 44 (d) 92
  17. 17.If 6x − 48 = 12, what is x? (a) 9 (b) 60 (c) 10 (d) 11
  18. 18.If x/2 + 1 = 5, what is x? (a) 12 (b) 4 (c) 8 (d) 9
  19. 19.If 4x − 20 = 20, what is x? (a) 9 (b) 10 (c) 40 (d) 11
  20. 20.If x/4 + 12 = 19, what is x? (a) 124 (b) 64 (c) 28 (d) 7
  21. 21.If 4x − 5 = 35, what is x? (a) 11 (b) 40 (c) 9 (d) 10
  22. 22.If 7x + 3 = 73, what is x? (a) 9 (b) 70 (c) 10 (d) 11
  23. 23.If x/6 + 11 = 22, what is x? (a) 121 (b) 66 (c) 198 (d) 11
  24. 24.If 2x − 17 = 9, what is x? (a) 26 (b) 12 (c) 14 (d) 13
  25. 25.If 8x − 4 = 12, what is x? (a) 16 (b) 1 (c) 2 (d) 3
  26. 26.If 4x + 27 = 39, what is x? (a) 4 (b) 3 (c) 2 (d) 12
  27. 27.If 9x − 21 = 6, what is x? (a) 27 (b) 2 (c) 3 (d) 4
  28. 28.If x/3 + 6 = 16, what is x? (a) 30 (b) 66 (c) 10 (d) 42
  29. 29.If x/6 + 10 = 12, what is x? (a) 132 (b) 12 (c) 2 (d) 62
  30. 30.If 8x + 4 = 7x + 12, what is x? (a) 8 (b) 10 (c) 9 (d) 16
  31. 31.If 6x − 33 = 21, what is x? (a) 54 (b) 8 (c) 9 (d) 10
  32. 32.If x/4 + 4 = 7, what is x? (a) 44 (b) 3 (c) 24 (d) 12
  33. 33.If 7x + 11 = 3x + 55, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  34. 34.If 3x + 3 = 2x + 9, what is x? (a) 12 (b) 7 (c) 6 (d) 8
  35. 35.If x/3 + 2 = 4, what is x? (a) 2 (b) 18 (c) 6 (d) 10
  36. 36.If 3x − 3 = 9, what is x? (a) 4 (b) 2 (c) 12 (d) 5
  37. 37.If 8x − 2 = 14, what is x? (a) 1 (b) 16 (c) 3 (d) 2
  38. 38.If 8x + 6 = 62, what is x? (a) 7 (b) 6 (c) 8 (d) 56
  39. 39.If 2x − 2 = 10, what is x? (a) 7 (b) 6 (c) 12 (d) 4
  40. 40.If x/5 + 14 = 22, what is x? (a) 96 (b) 40 (c) 8 (d) 180

Answer key

  1. 9
  2. 3
  3. 7
  4. 33
  5. 8
  6. 5
  7. 4
  8. 5
  9. 7
  10. 7
  11. 10
  12. 6
  13. 3
  14. 15
  15. 4
  16. 44
  17. 10
  18. 8
  19. 10
  20. 28
  21. 10
  22. 10
  23. 66
  24. 13
  25. 2
  26. 3
  27. 3
  28. 30
  29. 12
  30. 8
  31. 9
  32. 12
  33. 11
  34. 6
  35. 6
  36. 4
  37. 2
  38. 7
  39. 6
  40. 40

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