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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 454 · 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 7x + 6 = 5x + 22, what is x? (a) 9 (b) 8 (c) 14 (d) 10
  2. 2.If 6x − 1 = 83, what is x? (a) 14 (b) 15 (c) 13 (d) 84
  3. 3.If x/6 + 6 = 12, what is x? (a) 66 (b) 6 (c) 108 (d) 36
  4. 4.If 9x − 9 = 45, what is x? (a) 4 (b) 7 (c) 54 (d) 6
  5. 5.If 9x + 3 = 111, what is x? (a) 13 (b) 12 (c) 11 (d) 108
  6. 6.If 5x + 11 = 2x + 20, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  7. 7.If 6x − 18 = 6, what is x? (a) 24 (b) 5 (c) 4 (d) 3
  8. 8.If x/4 + 1 = 8, what is x? (a) 36 (b) 28 (c) 7 (d) 31
  9. 9.If 2x + 19 = 41, what is x? (a) 11 (b) 30 (c) 12 (d) 22
  10. 10.If 5x + 16 = 4x + 25, what is x? (a) 10 (b) 41 (c) 9 (d) 1
  11. 11.If 9x + 10 = 2x + 31, what is x? (a) 3 (b) 2 (c) 5 (d) 4
  12. 12.If x/3 + 12 = 21, what is x? (a) 99 (b) 51 (c) 9 (d) 27
  13. 13.If 6x + 8 = 5x + 9, what is x? (a) 3 (b) 17 (c) 2 (d) 1
  14. 14.If 7x + 6 = 4x + 27, what is x? (a) 9 (b) 7 (c) 8 (d) 11
  15. 15.If 2x + 4 = 34, what is x? (a) 15 (b) 16 (c) 30 (d) 19
  16. 16.If 6x − 6 = 6, what is x? (a) 3 (b) 1 (c) 12 (d) 2
  17. 17.If 6x + 11 = x + 71, what is x? (a) 14 (b) 13 (c) 11 (d) 12
  18. 18.If 3x + 13 = 31, what is x? (a) 5 (b) 6 (c) 18 (d) 7
  19. 19.If 8x + 3 = 123, what is x? (a) 16 (b) 15 (c) 120 (d) 14
  20. 20.If 9x + 18 = 126, what is x? (a) 16 (b) 108 (c) 12 (d) 13
  21. 21.If x/2 + 1 = 8, what is x? (a) 18 (b) 14 (c) 15 (d) 7
  22. 22.If 5x + 16 = 3x + 20, what is x? (a) 18 (b) 4 (c) 2 (d) 3
  23. 23.If 5x − 23 = 22, what is x? (a) 10 (b) 45 (c) 8 (d) 9
  24. 24.If 2x − 3 = 1, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  25. 25.If x/3 + 3 = 9, what is x? (a) 18 (b) 24 (c) 6 (d) 36
  26. 26.If 2x + 7 = 11, what is x? (a) 3 (b) 9 (c) 2 (d) 4
  27. 27.If 8x + 10 = 2x + 28, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  28. 28.If x/2 + 9 = 11, what is x? (a) 40 (b) 2 (c) 13 (d) 4
  29. 29.If 2x + 23 = 51, what is x? (a) 28 (b) 15 (c) 37 (d) 14
  30. 30.If 7x + 18 = 39, what is x? (a) 4 (b) 2 (c) 21 (d) 3
  31. 31.If 8x − 50 = 38, what is x? (a) 11 (b) 12 (c) 88 (d) 10
  32. 32.If 9x + 9 = 6x + 15, what is x? (a) 8 (b) 3 (c) 4 (d) 2
  33. 33.If x/2 + 4 = 11, what is x? (a) 30 (b) 7 (c) 14 (d) 18
  34. 34.If 7x + 19 = 3x + 43, what is x? (a) 8 (b) 6 (c) 7 (d) 5
  35. 35.If 6x − 46 = 2, what is x? (a) 8 (b) 7 (c) 48 (d) 9
  36. 36.If 9x − 44 = 73, what is x? (a) 117 (b) 14 (c) 13 (d) 12
  37. 37.If x/4 + 6 = 13, what is x? (a) 7 (b) 76 (c) 46 (d) 28
  38. 38.If 7x + 14 = 3x + 46, what is x? (a) 10 (b) 8 (c) 15 (d) 9
  39. 39.If 3x − 7 = 8, what is x? (a) 4 (b) 6 (c) 5 (d) 15
  40. 40.If 2x + 7 = 21, what is x? (a) 14 (b) 7 (c) 6 (d) 8

Answer key

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

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