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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 12 · 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 x/5 + 6 = 9, what is x? (a) 39 (b) 3 (c) 75 (d) 15
  2. 2.If x/6 + 10 = 12, what is x? (a) 2 (b) 62 (c) 132 (d) 12
  3. 3.If 3x + 11 = 20, what is x? (a) 2 (b) 3 (c) 4 (d) 9
  4. 4.If x/4 + 6 = 17, what is x? (a) 11 (b) 44 (c) 62 (d) 92
  5. 5.If x/2 + 13 = 23, what is x? (a) 72 (b) 10 (c) 20 (d) 33
  6. 6.If 8x − 9 = 7, what is x? (a) 2 (b) 16 (c) 1 (d) 3
  7. 7.If 3x + 16 = 43, what is x? (a) 8 (b) 10 (c) 9 (d) 27
  8. 8.If x/4 + 4 = 8, what is x? (a) 28 (b) 4 (c) 48 (d) 16
  9. 9.If x/2 + 9 = 12, what is x? (a) 3 (b) 15 (c) 42 (d) 6
  10. 10.If 5x + 14 = 2x + 38, what is x? (a) 9 (b) 10 (c) 8 (d) 7
  11. 11.If 4x + 21 = 49, what is x? (a) 28 (b) 8 (c) 6 (d) 7
  12. 12.If 8x + 19 = 35, what is x? (a) 1 (b) 2 (c) 16 (d) 3
  13. 13.If x/5 + 6 = 11, what is x? (a) 5 (b) 25 (c) 49 (d) 85
  14. 14.If 5x + 7 = 52, what is x? (a) 8 (b) 45 (c) 10 (d) 9
  15. 15.If x/2 + 6 = 14, what is x? (a) 16 (b) 8 (c) 22 (d) 40
  16. 16.If 6x − 8 = 10, what is x? (a) 4 (b) 18 (c) 2 (d) 3
  17. 17.If 2x + 29 = 41, what is x? (a) 7 (b) 6 (c) 35 (d) 12
  18. 18.If x/6 + 2 = 8, what is x? (a) 6 (b) 60 (c) 36 (d) 46
  19. 19.If 8x + 6 = 126, what is x? (a) 120 (b) 15 (c) 14 (d) 16
  20. 20.If 7x + 16 = 5x + 24, what is x? (a) 6 (b) 4 (c) 5 (d) 20
  21. 21.If 4x − 33 = 15, what is x? (a) 48 (b) 12 (c) 11 (d) 13
  22. 22.If 3x + 17 = 2x + 25, what is x? (a) 9 (b) 10 (c) 8 (d) 42
  23. 23.If 3x + 7 = x + 11, what is x? (a) 2 (b) 1 (c) 3 (d) 9
  24. 24.If 8x − 22 = 42, what is x? (a) 9 (b) 7 (c) 64 (d) 8
  25. 25.If 3x + 14 = x + 24, what is x? (a) 7 (b) 19 (c) 6 (d) 5
  26. 26.If 8x + 13 = 7x + 24, what is x? (a) 37 (b) 12 (c) 13 (d) 11
  27. 27.If 3x + 17 = 47, what is x? (a) 9 (b) 30 (c) 10 (d) 11
  28. 28.If 8x + 5 = 7x + 7, what is x? (a) 12 (b) 3 (c) 4 (d) 2
  29. 29.If 2x − 1 = 7, what is x? (a) 4 (b) 8 (c) 3 (d) 5
  30. 30.If 3x + 9 = 15, what is x? (a) 6 (b) 2 (c) 3 (d) 8
  31. 31.If 5x − 31 = 19, what is x? (a) 10 (b) 50 (c) 11 (d) 9
  32. 32.If 5x + 20 = 2x + 23, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  33. 33.If 9x − 20 = 7, what is x? (a) 3 (b) 4 (c) 2 (d) 27
  34. 34.If 3x + 16 = 31, what is x? (a) 15 (b) 5 (c) 4 (d) 6
  35. 35.If 4x + 19 = x + 31, what is x? (a) 3 (b) 5 (c) 6 (d) 4
  36. 36.If 5x − 9 = 36, what is x? (a) 45 (b) 8 (c) 9 (d) 10
  37. 37.If 8x + 13 = x + 69, what is x? (a) 10 (b) 9 (c) 7 (d) 8
  38. 38.If 4x + 1 = 25, what is x? (a) 5 (b) 24 (c) 6 (d) 7
  39. 39.If x/3 + 7 = 15, what is x? (a) 8 (b) 38 (c) 24 (d) 66
  40. 40.If 4x − 15 = 41, what is x? (a) 56 (b) 14 (c) 13 (d) 15

Answer key

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

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