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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 788 · 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 4x + 11 = 27, what is x? (a) 16 (b) 5 (c) 4 (d) 3
  2. 2.If 3x − 7 = 26, what is x? (a) 12 (b) 33 (c) 10 (d) 11
  3. 3.If 9x + 12 = 3x + 66, what is x? (a) 11 (b) 9 (c) 13 (d) 10
  4. 4.If 9x + 15 = 3x + 51, what is x? (a) 6 (b) 7 (c) 3 (d) 11
  5. 5.If 7x − 45 = 39, what is x? (a) 84 (b) 12 (c) 13 (d) 11
  6. 6.If 5x + 4 = 2x + 16, what is x? (a) 3 (b) 6 (c) 4 (d) 5
  7. 7.If 4x + 5 = 17, what is x? (a) 12 (b) 4 (c) 3 (d) 2
  8. 8.If 9x − 52 = 29, what is x? (a) 81 (b) 10 (c) 9 (d) 8
  9. 9.If 6x + 1 = 25, what is x? (a) 3 (b) 5 (c) 24 (d) 4
  10. 10.If 8x + 12 = 5x + 24, what is x? (a) 6 (b) 5 (c) 4 (d) 12
  11. 11.If 8x + 20 = 7x + 23, what is x? (a) 5 (b) 43 (c) 4 (d) 3
  12. 12.If 9x − 51 = 84, what is x? (a) 135 (b) 14 (c) 16 (d) 15
  13. 13.If x/2 + 5 = 12, what is x? (a) 34 (b) 19 (c) 14 (d) 7
  14. 14.If 9x + 9 = 54, what is x? (a) 7 (b) 5 (c) 6 (d) 45
  15. 15.If 4x + 16 = 76, what is x? (a) 23 (b) 15 (c) 60 (d) 16
  16. 16.If x/3 + 4 = 9, what is x? (a) 23 (b) 5 (c) 39 (d) 15
  17. 17.If x/2 + 12 = 14, what is x? (a) 52 (b) 2 (c) 16 (d) 4
  18. 18.If x/2 + 11 = 19, what is x? (a) 27 (b) 16 (c) 60 (d) 8
  19. 19.If 5x − 13 = 7, what is x? (a) 5 (b) 4 (c) 3 (d) 20
  20. 20.If 6x + 4 = 82, what is x? (a) 13 (b) 78 (c) 14 (d) 12
  21. 21.If x/3 + 5 = 12, what is x? (a) 7 (b) 51 (c) 21 (d) 31
  22. 22.If x/3 + 14 = 23, what is x? (a) 111 (b) 55 (c) 9 (d) 27
  23. 23.If 4x + 23 = 35, what is x? (a) 4 (b) 3 (c) 12 (d) 2
  24. 24.If x/6 + 1 = 9, what is x? (a) 60 (b) 53 (c) 48 (d) 8
  25. 25.If 9x − 54 = 9, what is x? (a) 8 (b) 6 (c) 63 (d) 7
  26. 26.If x/6 + 5 = 10, what is x? (a) 5 (b) 90 (c) 55 (d) 30
  27. 27.If 6x + 13 = 67, what is x? (a) 10 (b) 54 (c) 8 (d) 9
  28. 28.If 4x + 3 = 3x + 8, what is x? (a) 11 (b) 5 (c) 7 (d) 6
  29. 29.If 6x − 3 = 15, what is x? (a) 2 (b) 3 (c) 4 (d) 18
  30. 30.If 7x + 20 = x + 32, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  31. 31.If x/5 + 10 = 12, what is x? (a) 2 (b) 50 (c) 110 (d) 10
  32. 32.If 2x − 3 = 3, what is x? (a) 6 (b) 4 (c) 3 (d) 2
  33. 33.If 9x + 11 = 7x + 23, what is x? (a) 8 (b) 7 (c) 17 (d) 6
  34. 34.If 6x + 12 = 5x + 17, what is x? (a) 5 (b) 7 (c) 6 (d) 29
  35. 35.If 8x − 19 = 53, what is x? (a) 10 (b) 9 (c) 72 (d) 8
  36. 36.If 7x + 11 = 2x + 56, what is x? (a) 11 (b) 10 (c) 5 (d) 9
  37. 37.If 3x + 10 = x + 14, what is x? (a) 12 (b) 2 (c) 3 (d) 1
  38. 38.If 3x + 11 = 32, what is x? (a) 8 (b) 6 (c) 7 (d) 21
  39. 39.If 6x + 16 = 2x + 28, what is x? (a) 11 (b) 3 (c) 5 (d) 4
  40. 40.If x/2 + 14 = 18, what is x? (a) 4 (b) 22 (c) 8 (d) 64

Answer key

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

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