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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 125 · 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 + 9 = 2x + 25, what is x? (a) 4 (b) 5 (c) 6 (d) 2
  2. 2.If 4x + 8 = 3x + 9, what is x? (a) 17 (b) 1 (c) 2 (d) 3
  3. 3.If x/3 + 8 = 17, what is x? (a) 75 (b) 27 (c) 9 (d) 43
  4. 4.If 8x + 15 = 2x + 63, what is x? (a) 8 (b) 9 (c) 10 (d) 13
  5. 5.If 5x + 12 = 47, what is x? (a) 7 (b) 8 (c) 35 (d) 6
  6. 6.If x/2 + 14 = 23, what is x? (a) 9 (b) 32 (c) 74 (d) 18
  7. 7.If 5x − 1 = 34, what is x? (a) 7 (b) 6 (c) 35 (d) 8
  8. 8.If 3x + 1 = x + 3, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  9. 9.If 4x + 26 = 74, what is x? (a) 25 (b) 48 (c) 12 (d) 13
  10. 10.If 6x + 2 = 5x + 3, what is x? (a) 1 (b) 5 (c) 2 (d) 3
  11. 11.If 8x + 1 = x + 8, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  12. 12.If 7x + 9 = 114, what is x? (a) 16 (b) 14 (c) 15 (d) 105
  13. 13.If 7x + 2 = 2x + 27, what is x? (a) 6 (b) 4 (c) 7 (d) 5
  14. 14.If x/4 + 4 = 8, what is x? (a) 28 (b) 16 (c) 4 (d) 48
  15. 15.If 8x + 11 = 2x + 77, what is x? (a) 12 (b) 11 (c) 13 (d) 10
  16. 16.If 4x + 14 = 3x + 17, what is x? (a) 4 (b) 3 (c) 5 (d) 31
  17. 17.If 4x − 56 = 4, what is x? (a) 15 (b) 14 (c) 16 (d) 60
  18. 18.If 5x − 45 = 15, what is x? (a) 60 (b) 13 (c) 11 (d) 12
  19. 19.If 9x + 3 = 21, what is x? (a) 18 (b) 2 (c) 1 (d) 3
  20. 20.If 6x + 12 = 60, what is x? (a) 48 (b) 12 (c) 8 (d) 9
  21. 21.If 9x + 16 = 2x + 93, what is x? (a) 11 (b) 13 (c) 7 (d) 12
  22. 22.If 4x + 10 = x + 25, what is x? (a) 7 (b) 3 (c) 5 (d) 6
  23. 23.If 6x + 16 = 52, what is x? (a) 7 (b) 5 (c) 36 (d) 6
  24. 24.If 3x + 3 = 2x + 8, what is x? (a) 11 (b) 5 (c) 6 (d) 1
  25. 25.If 9x − 16 = 38, what is x? (a) 5 (b) 54 (c) 6 (d) 7
  26. 26.If x/3 + 12 = 18, what is x? (a) 6 (b) 42 (c) 18 (d) 90
  27. 27.If x/4 + 11 = 13, what is x? (a) 2 (b) 8 (c) 41 (d) 96
  28. 28.If 9x + 15 = 150, what is x? (a) 14 (b) 16 (c) 15 (d) 135
  29. 29.If x/5 + 5 = 11, what is x? (a) 6 (b) 50 (c) 30 (d) 80
  30. 30.If x/3 + 13 = 21, what is x? (a) 8 (b) 24 (c) 102 (d) 50
  31. 31.If 9x + 20 = 83, what is x? (a) 63 (b) 8 (c) 6 (d) 7
  32. 32.If 7x + 18 = 6x + 26, what is x? (a) 10 (b) 9 (c) 8 (d) 44
  33. 33.If 7x + 10 = 3x + 26, what is x? (a) 9 (b) 4 (c) 5 (d) 6
  34. 34.If 4x + 11 = 43, what is x? (a) 8 (b) 7 (c) 32 (d) 9
  35. 35.If x/3 + 7 = 13, what is x? (a) 60 (b) 6 (c) 18 (d) 32
  36. 36.If 8x + 5 = 109, what is x? (a) 104 (b) 12 (c) 14 (d) 13
  37. 37.If 3x − 10 = 23, what is x? (a) 11 (b) 12 (c) 10 (d) 33
  38. 38.If 4x + 12 = 3x + 16, what is x? (a) 4 (b) 6 (c) 28 (d) 5
  39. 39.If 3x − 20 = 10, what is x? (a) 11 (b) 10 (c) 9 (d) 30
  40. 40.If 7x + 29 = 57, what is x? (a) 4 (b) 3 (c) 5 (d) 28

Answer key

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

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