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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 57 · 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 + 12 = 72, what is x? (a) 10 (b) 14 (c) 60 (d) 11
  2. 2.If x/2 + 6 = 8, what is x? (a) 4 (b) 10 (c) 28 (d) 2
  3. 3.If 8x + 8 = 4x + 12, what is x? (a) 1 (b) 3 (c) 5 (d) 2
  4. 4.If 2x − 10 = 12, what is x? (a) 1 (b) 22 (c) 12 (d) 11
  5. 5.If 4x + 17 = 57, what is x? (a) 10 (b) 9 (c) 40 (d) 11
  6. 6.If 5x − 2 = 58, what is x? (a) 11 (b) 12 (c) 13 (d) 60
  7. 7.If 3x + 2 = 2x + 5, what is x? (a) 7 (b) 3 (c) 4 (d) 5
  8. 8.If 6x − 17 = 1, what is x? (a) 18 (b) 2 (c) 3 (d) 4
  9. 9.If 5x + 4 = 4x + 9, what is x? (a) 13 (b) 5 (c) 6 (d) 7
  10. 10.If 4x + 14 = x + 23, what is x? (a) 4 (b) 3 (c) 2 (d) 5
  11. 11.If 9x + 4 = 22, what is x? (a) 18 (b) 2 (c) 3 (d) 1
  12. 12.If x/6 + 5 = 11, what is x? (a) 96 (b) 6 (c) 61 (d) 36
  13. 13.If x/6 + 6 = 14, what is x? (a) 120 (b) 8 (c) 78 (d) 48
  14. 14.If 5x + 2 = 52, what is x? (a) 50 (b) 11 (c) 10 (d) 9
  15. 15.If 2x + 29 = 35, what is x? (a) 3 (b) 4 (c) 6 (d) 32
  16. 16.If 5x − 44 = 21, what is x? (a) 14 (b) 12 (c) 13 (d) 65
  17. 17.If 5x + 4 = x + 12, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  18. 18.If 4x − 7 = 5, what is x? (a) 3 (b) 12 (c) 2 (d) 4
  19. 19.If 6x + 28 = 106, what is x? (a) 14 (b) 13 (c) 78 (d) 12
  20. 20.If 9x + 4 = 112, what is x? (a) 11 (b) 12 (c) 13 (d) 108
  21. 21.If 9x + 5 = 5x + 41, what is x? (a) 10 (b) 11 (c) 8 (d) 9
  22. 22.If 2x + 23 = 39, what is x? (a) 9 (b) 31 (c) 16 (d) 8
  23. 23.If 3x + 15 = 2x + 17, what is x? (a) 2 (b) 32 (c) 3 (d) 4
  24. 24.If 8x + 24 = 144, what is x? (a) 21 (b) 16 (c) 120 (d) 15
  25. 25.If x/3 + 5 = 9, what is x? (a) 42 (b) 12 (c) 22 (d) 4
  26. 26.If 7x + 3 = 38, what is x? (a) 5 (b) 6 (c) 35 (d) 4
  27. 27.If 3x + 11 = 2x + 15, what is x? (a) 26 (b) 4 (c) 6 (d) 5
  28. 28.If 6x + 5 = 4x + 15, what is x? (a) 5 (b) 10 (c) 6 (d) 1
  29. 29.If 7x + 17 = 6x + 21, what is x? (a) 38 (b) 6 (c) 5 (d) 4
  30. 30.If x/5 + 1 = 11, what is x? (a) 54 (b) 10 (c) 60 (d) 50
  31. 31.If x/2 + 6 = 11, what is x? (a) 10 (b) 34 (c) 5 (d) 16
  32. 32.If 6x + 20 = 5x + 32, what is x? (a) 13 (b) 12 (c) 52 (d) 14
  33. 33.If 6x − 11 = 7, what is x? (a) 2 (b) 4 (c) 3 (d) 18
  34. 34.If 7x + 2 = 51, what is x? (a) 49 (b) 7 (c) 8 (d) 6
  35. 35.If 5x − 10 = 5, what is x? (a) 2 (b) 4 (c) 3 (d) 15
  36. 36.If 9x + 8 = 8x + 13, what is x? (a) 5 (b) 21 (c) 7 (d) 6
  37. 37.If 3x − 44 = 1, what is x? (a) 45 (b) 14 (c) 16 (d) 15
  38. 38.If 3x + 22 = 58, what is x? (a) 13 (b) 11 (c) 12 (d) 36
  39. 39.If x/6 + 6 = 15, what is x? (a) 84 (b) 54 (c) 9 (d) 126
  40. 40.If 4x + 10 = 18, what is x? (a) 8 (b) 7 (c) 3 (d) 2

Answer key

  1. 10
  2. 4
  3. 1
  4. 11
  5. 10
  6. 12
  7. 3
  8. 3
  9. 5
  10. 3
  11. 2
  12. 36
  13. 48
  14. 10
  15. 3
  16. 13
  17. 2
  18. 3
  19. 13
  20. 12
  21. 9
  22. 8
  23. 2
  24. 15
  25. 12
  26. 5
  27. 4
  28. 5
  29. 4
  30. 50
  31. 10
  32. 12
  33. 3
  34. 7
  35. 3
  36. 5
  37. 15
  38. 12
  39. 54
  40. 2

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