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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 552 · 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 − 13 = 41, what is x? (a) 10 (b) 54 (c) 8 (d) 9
  2. 2.If x/3 + 7 = 16, what is x? (a) 9 (b) 69 (c) 41 (d) 27
  3. 3.If 9x + 17 = 6x + 26, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  4. 4.If 8x + 17 = x + 59, what is x? (a) 7 (b) 6 (c) 8 (d) 5
  5. 5.If 8x + 5 = 4x + 37, what is x? (a) 8 (b) 7 (c) 10 (d) 9
  6. 6.If x/4 + 2 = 7, what is x? (a) 5 (b) 20 (c) 26 (d) 36
  7. 7.If x/4 + 3 = 5, what is x? (a) 2 (b) 32 (c) 17 (d) 8
  8. 8.If 4x + 1 = 2x + 7, what is x? (a) 1 (b) 4 (c) 3 (d) 5
  9. 9.If 9x − 6 = 66, what is x? (a) 9 (b) 8 (c) 72 (d) 7
  10. 10.If 8x + 21 = 93, what is x? (a) 72 (b) 9 (c) 10 (d) 8
  11. 11.If x/4 + 8 = 19, what is x? (a) 108 (b) 11 (c) 68 (d) 44
  12. 12.If 7x + 7 = 6x + 15, what is x? (a) 10 (b) 8 (c) 9 (d) 22
  13. 13.If x/5 + 12 = 18, what is x? (a) 30 (b) 6 (c) 150 (d) 78
  14. 14.If 6x − 16 = 2, what is x? (a) 4 (b) 18 (c) 2 (d) 3
  15. 15.If 2x − 10 = 12, what is x? (a) 1 (b) 12 (c) 22 (d) 11
  16. 16.If 5x − 3 = 17, what is x? (a) 20 (b) 3 (c) 4 (d) 5
  17. 17.If x/4 + 10 = 19, what is x? (a) 66 (b) 9 (c) 116 (d) 36
  18. 18.If 7x + 8 = 4x + 23, what is x? (a) 4 (b) 5 (c) 6 (d) 7
  19. 19.If 4x − 6 = 2, what is x? (a) 3 (b) 1 (c) 8 (d) 2
  20. 20.If 4x + 8 = 24, what is x? (a) 5 (b) 16 (c) 8 (d) 4
  21. 21.If 6x + 19 = 49, what is x? (a) 30 (b) 5 (c) 6 (d) 4
  22. 22.If x/3 + 1 = 10, what is x? (a) 29 (b) 27 (c) 9 (d) 33
  23. 23.If x/5 + 8 = 13, what is x? (a) 57 (b) 5 (c) 105 (d) 25
  24. 24.If 3x + 23 = 38, what is x? (a) 6 (b) 15 (c) 4 (d) 5
  25. 25.If 2x + 27 = 49, what is x? (a) 38 (b) 11 (c) 12 (d) 22
  26. 26.If 8x + 7 = 6x + 27, what is x? (a) 10 (b) 11 (c) 12 (d) 17
  27. 27.If 2x + 14 = 20, what is x? (a) 4 (b) 17 (c) 6 (d) 3
  28. 28.If 3x − 18 = 6, what is x? (a) 7 (b) 9 (c) 24 (d) 8
  29. 29.If x/6 + 14 = 26, what is x? (a) 72 (b) 12 (c) 142 (d) 240
  30. 30.If 6x + 13 = 4x + 35, what is x? (a) 24 (b) 12 (c) 13 (d) 11
  31. 31.If x/2 + 6 = 17, what is x? (a) 28 (b) 11 (c) 22 (d) 46
  32. 32.If 8x − 24 = 64, what is x? (a) 5 (b) 88 (c) 12 (d) 11
  33. 33.If 4x + 23 = 79, what is x? (a) 15 (b) 13 (c) 14 (d) 56
  34. 34.If 6x + 2 = 3x + 38, what is x? (a) 12 (b) 13 (c) 14 (d) 4
  35. 35.If 9x + 2 = 137, what is x? (a) 135 (b) 14 (c) 16 (d) 15
  36. 36.If 7x + 10 = 38, what is x? (a) 3 (b) 28 (c) 5 (d) 4
  37. 37.If 9x + 21 = 120, what is x? (a) 11 (b) 99 (c) 10 (d) 12
  38. 38.If 6x + 1 = 3x + 4, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  39. 39.If 2x + 14 = 18, what is x? (a) 4 (b) 16 (c) 2 (d) 3
  40. 40.If 5x + 11 = 2x + 20, what is x? (a) 4 (b) 3 (c) 2 (d) 5

Answer key

  1. 9
  2. 27
  3. 3
  4. 6
  5. 8
  6. 20
  7. 8
  8. 3
  9. 8
  10. 9
  11. 44
  12. 8
  13. 30
  14. 3
  15. 11
  16. 4
  17. 36
  18. 5
  19. 2
  20. 4
  21. 5
  22. 27
  23. 25
  24. 5
  25. 11
  26. 10
  27. 3
  28. 8
  29. 72
  30. 11
  31. 22
  32. 11
  33. 14
  34. 12
  35. 15
  36. 4
  37. 11
  38. 1
  39. 2
  40. 3

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