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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 605 · 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 9x − 47 = 16, what is x? (a) 7 (b) 6 (c) 63 (d) 8
  2. 2.If 7x − 16 = 19, what is x? (a) 6 (b) 5 (c) 4 (d) 35
  3. 3.If 7x + 27 = 55, what is x? (a) 5 (b) 28 (c) 3 (d) 4
  4. 4.If 3x + 5 = 26, what is x? (a) 6 (b) 8 (c) 7 (d) 21
  5. 5.If 3x + 25 = 61, what is x? (a) 13 (b) 11 (c) 12 (d) 36
  6. 6.If 2x − 6 = 6, what is x? (a) 5 (b) 12 (c) 6 (d) 7
  7. 7.If 5x + 2 = 77, what is x? (a) 75 (b) 16 (c) 15 (d) 14
  8. 8.If 8x + 1 = 113, what is x? (a) 112 (b) 15 (c) 13 (d) 14
  9. 9.If x/4 + 1 = 7, what is x? (a) 27 (b) 6 (c) 32 (d) 24
  10. 10.If 8x + 8 = 40, what is x? (a) 5 (b) 6 (c) 32 (d) 4
  11. 11.If 8x − 14 = 34, what is x? (a) 7 (b) 5 (c) 48 (d) 6
  12. 12.If x/6 + 15 = 25, what is x? (a) 60 (b) 240 (c) 135 (d) 10
  13. 13.If 8x − 13 = 75, what is x? (a) 11 (b) 12 (c) 10 (d) 88
  14. 14.If 6x + 14 = 5x + 23, what is x? (a) 11 (b) 9 (c) 10 (d) 37
  15. 15.If 8x + 3 = 91, what is x? (a) 10 (b) 11 (c) 12 (d) 88
  16. 16.If 3x − 37 = 2, what is x? (a) 12 (b) 13 (c) 14 (d) 39
  17. 17.If 7x − 2 = 75, what is x? (a) 11 (b) 77 (c) 12 (d) 10
  18. 18.If 5x + 3 = 2x + 12, what is x? (a) 2 (b) 4 (c) 3 (d) 5
  19. 19.If 6x + 18 = 90, what is x? (a) 13 (b) 72 (c) 18 (d) 12
  20. 20.If 9x + 13 = 85, what is x? (a) 9 (b) 72 (c) 7 (d) 8
  21. 21.If 5x + 8 = 38, what is x? (a) 5 (b) 6 (c) 30 (d) 7
  22. 22.If 8x − 20 = 4, what is x? (a) 3 (b) 4 (c) 24 (d) 2
  23. 23.If 9x − 76 = 14, what is x? (a) 9 (b) 11 (c) 90 (d) 10
  24. 24.If 7x + 11 = 95, what is x? (a) 13 (b) 11 (c) 12 (d) 84
  25. 25.If 5x + 18 = 53, what is x? (a) 35 (b) 8 (c) 6 (d) 7
  26. 26.If 6x + 22 = 82, what is x? (a) 11 (b) 10 (c) 9 (d) 60
  27. 27.If x/5 + 2 = 8, what is x? (a) 38 (b) 6 (c) 50 (d) 30
  28. 28.If 5x + 25 = 35, what is x? (a) 12 (b) 3 (c) 2 (d) 10
  29. 29.If 6x + 2 = x + 52, what is x? (a) 9 (b) 10 (c) 11 (d) 12
  30. 30.If 7x + 5 = 2x + 15, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  31. 31.If 9x + 19 = 7x + 33, what is x? (a) 26 (b) 8 (c) 7 (d) 9
  32. 32.If 8x + 10 = 5x + 37, what is x? (a) 10 (b) 11 (c) 9 (d) 8
  33. 33.If 3x + 29 = 68, what is x? (a) 12 (b) 13 (c) 14 (d) 39
  34. 34.If 5x − 9 = 31, what is x? (a) 40 (b) 9 (c) 7 (d) 8
  35. 35.If 2x + 21 = 29, what is x? (a) 25 (b) 4 (c) 5 (d) 8
  36. 36.If 4x + 26 = 74, what is x? (a) 25 (b) 48 (c) 13 (d) 12
  37. 37.If 3x + 10 = 40, what is x? (a) 30 (b) 9 (c) 10 (d) 11
  38. 38.If x/6 + 11 = 19, what is x? (a) 48 (b) 8 (c) 180 (d) 103
  39. 39.If 5x − 46 = 14, what is x? (a) 60 (b) 12 (c) 13 (d) 11
  40. 40.If 8x + 7 = 6x + 25, what is x? (a) 16 (b) 11 (c) 10 (d) 9

Answer key

  1. 7
  2. 5
  3. 4
  4. 7
  5. 12
  6. 6
  7. 15
  8. 14
  9. 24
  10. 4
  11. 6
  12. 60
  13. 11
  14. 9
  15. 11
  16. 13
  17. 11
  18. 3
  19. 12
  20. 8
  21. 6
  22. 3
  23. 10
  24. 12
  25. 7
  26. 10
  27. 30
  28. 2
  29. 10
  30. 2
  31. 7
  32. 9
  33. 13
  34. 8
  35. 4
  36. 12
  37. 10
  38. 48
  39. 12
  40. 9

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