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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 738 · 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 + 11 = 4x + 36, what is x? (a) 5 (b) 4 (c) 6 (d) 7
  2. 2.If 6x − 6 = 60, what is x? (a) 12 (b) 9 (c) 66 (d) 11
  3. 3.If 4x + 8 = 16, what is x? (a) 3 (b) 2 (c) 6 (d) 8
  4. 4.If x/2 + 1 = 13, what is x? (a) 24 (b) 28 (c) 25 (d) 12
  5. 5.If 2x − 8 = 6, what is x? (a) 6 (b) 14 (c) 7 (d) 8
  6. 6.If x/4 + 14 = 18, what is x? (a) 4 (b) 58 (c) 16 (d) 128
  7. 7.If 5x − 22 = 3, what is x? (a) 25 (b) 6 (c) 4 (d) 5
  8. 8.If 4x + 6 = 34, what is x? (a) 10 (b) 8 (c) 7 (d) 28
  9. 9.If 3x + 10 = x + 14, what is x? (a) 2 (b) 12 (c) 1 (d) 3
  10. 10.If 2x − 1 = 11, what is x? (a) 6 (b) 12 (c) 7 (d) 5
  11. 11.If 3x + 11 = 44, what is x? (a) 33 (b) 10 (c) 11 (d) 12
  12. 12.If x/3 + 12 = 21, what is x? (a) 99 (b) 9 (c) 51 (d) 27
  13. 13.If 7x + 1 = x + 31, what is x? (a) 7 (b) 5 (c) 4 (d) 6
  14. 14.If 3x − 7 = 2, what is x? (a) 3 (b) 2 (c) 4 (d) 9
  15. 15.If 4x + 10 = 3x + 12, what is x? (a) 4 (b) 2 (c) 22 (d) 3
  16. 16.If 3x + 24 = 66, what is x? (a) 30 (b) 14 (c) 42 (d) 15
  17. 17.If 2x − 8 = 2, what is x? (a) 5 (b) 10 (c) 4 (d) 6
  18. 18.If x/3 + 15 = 17, what is x? (a) 96 (b) 2 (c) 36 (d) 6
  19. 19.If x/5 + 15 = 24, what is x? (a) 195 (b) 105 (c) 9 (d) 45
  20. 20.If 4x + 4 = 24, what is x? (a) 5 (b) 6 (c) 20 (d) 7
  21. 21.If 3x + 13 = 52, what is x? (a) 39 (b) 14 (c) 13 (d) 12
  22. 22.If x/6 + 13 = 18, what is x? (a) 95 (b) 5 (c) 30 (d) 186
  23. 23.If 6x − 16 = 8, what is x? (a) 24 (b) 3 (c) 5 (d) 4
  24. 24.If 7x + 9 = 65, what is x? (a) 8 (b) 56 (c) 9 (d) 7
  25. 25.If 8x + 11 = 3x + 31, what is x? (a) 5 (b) 4 (c) 6 (d) 3
  26. 26.If x/6 + 9 = 20, what is x? (a) 174 (b) 66 (c) 111 (d) 11
  27. 27.If 7x + 8 = 92, what is x? (a) 84 (b) 11 (c) 12 (d) 13
  28. 28.If 5x + 6 = 51, what is x? (a) 45 (b) 10 (c) 9 (d) 8
  29. 29.If 5x + 2 = 37, what is x? (a) 7 (b) 8 (c) 6 (d) 35
  30. 30.If x/2 + 8 = 16, what is x? (a) 8 (b) 48 (c) 16 (d) 24
  31. 31.If x/6 + 9 = 13, what is x? (a) 24 (b) 4 (c) 69 (d) 132
  32. 32.If 3x + 27 = 42, what is x? (a) 6 (b) 23 (c) 15 (d) 5
  33. 33.If 9x − 4 = 50, what is x? (a) 5 (b) 6 (c) 54 (d) 7
  34. 34.If 7x + 29 = 85, what is x? (a) 56 (b) 7 (c) 9 (d) 8
  35. 35.If x/3 + 8 = 14, what is x? (a) 6 (b) 66 (c) 18 (d) 34
  36. 36.If 2x − 1 = 7, what is x? (a) 8 (b) 3 (c) 4 (d) 5
  37. 37.If 9x + 13 = 85, what is x? (a) 8 (b) 72 (c) 9 (d) 7
  38. 38.If 9x + 13 = 2x + 97, what is x? (a) 14 (b) 12 (c) 13 (d) 11
  39. 39.If x/2 + 4 = 7, what is x? (a) 22 (b) 10 (c) 6 (d) 3
  40. 40.If 9x + 2 = 3x + 20, what is x? (a) 4 (b) 3 (c) 2 (d) 5

Answer key

  1. 5
  2. 11
  3. 2
  4. 24
  5. 7
  6. 16
  7. 5
  8. 7
  9. 2
  10. 6
  11. 11
  12. 27
  13. 5
  14. 3
  15. 2
  16. 14
  17. 5
  18. 6
  19. 45
  20. 5
  21. 13
  22. 30
  23. 4
  24. 8
  25. 4
  26. 66
  27. 12
  28. 9
  29. 7
  30. 16
  31. 24
  32. 5
  33. 6
  34. 8
  35. 18
  36. 4
  37. 8
  38. 12
  39. 6
  40. 3

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