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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 356 · 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 3x + 26 = 59, what is x? (a) 10 (b) 11 (c) 33 (d) 12
  2. 2.If x/4 + 11 = 13, what is x? (a) 2 (b) 96 (c) 41 (d) 8
  3. 3.If x/3 + 6 = 11, what is x? (a) 5 (b) 15 (c) 51 (d) 27
  4. 4.If 6x + 11 = x + 66, what is x? (a) 13 (b) 10 (c) 11 (d) 12
  5. 5.If 3x + 6 = 2x + 11, what is x? (a) 1 (b) 6 (c) 17 (d) 5
  6. 6.If 7x + 22 = 36, what is x? (a) 14 (b) 3 (c) 1 (d) 2
  7. 7.If 6x + 29 = 119, what is x? (a) 15 (b) 14 (c) 90 (d) 16
  8. 8.If 6x − 2 = 28, what is x? (a) 6 (b) 5 (c) 4 (d) 30
  9. 9.If x/2 + 3 = 6, what is x? (a) 18 (b) 9 (c) 6 (d) 3
  10. 10.If 5x + 15 = 55, what is x? (a) 14 (b) 40 (c) 9 (d) 8
  11. 11.If 3x + 10 = x + 16, what is x? (a) 4 (b) 5 (c) 13 (d) 3
  12. 12.If 3x + 21 = 45, what is x? (a) 8 (b) 22 (c) 9 (d) 24
  13. 13.If 5x − 66 = 4, what is x? (a) 70 (b) 15 (c) 13 (d) 14
  14. 14.If 6x + 12 = 24, what is x? (a) 12 (b) 2 (c) 3 (d) 6
  15. 15.If 9x + 10 = 28, what is x? (a) 2 (b) 3 (c) 18 (d) 1
  16. 16.If 7x + 7 = 6x + 9, what is x? (a) 3 (b) 2 (c) 16 (d) 4
  17. 17.If 4x + 11 = x + 38, what is x? (a) 11 (b) 10 (c) 8 (d) 9
  18. 18.If x/6 + 10 = 18, what is x? (a) 8 (b) 98 (c) 48 (d) 168
  19. 19.If x/5 + 1 = 4, what is x? (a) 19 (b) 15 (c) 25 (d) 3
  20. 20.If 2x + 19 = 33, what is x? (a) 8 (b) 26 (c) 14 (d) 7
  21. 21.If 7x + 11 = 60, what is x? (a) 6 (b) 49 (c) 8 (d) 7
  22. 22.If x/2 + 8 = 16, what is x? (a) 8 (b) 24 (c) 48 (d) 16
  23. 23.If 5x + 7 = x + 11, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  24. 24.If 8x + 6 = 78, what is x? (a) 8 (b) 10 (c) 9 (d) 72
  25. 25.If 9x + 22 = 130, what is x? (a) 13 (b) 108 (c) 12 (d) 11
  26. 26.If 9x + 2 = 29, what is x? (a) 3 (b) 4 (c) 27 (d) 2
  27. 27.If 5x + 13 = 2x + 40, what is x? (a) 10 (b) 11 (c) 8 (d) 9
  28. 28.If 6x − 29 = 7, what is x? (a) 7 (b) 5 (c) 6 (d) 36
  29. 29.If 4x + 6 = 2x + 8, what is x? (a) 7 (b) 2 (c) 1 (d) 3
  30. 30.If x/5 + 14 = 18, what is x? (a) 20 (b) 160 (c) 4 (d) 76
  31. 31.If 3x − 1 = 11, what is x? (a) 4 (b) 12 (c) 3 (d) 5
  32. 32.If 6x + 7 = 19, what is x? (a) 12 (b) 1 (c) 2 (d) 3
  33. 33.If 3x − 1 = 5, what is x? (a) 2 (b) 3 (c) 1 (d) 6
  34. 34.If 4x + 18 = 62, what is x? (a) 44 (b) 12 (c) 11 (d) 20
  35. 35.If x/5 + 2 = 8, what is x? (a) 38 (b) 50 (c) 6 (d) 30
  36. 36.If 6x + 5 = 2x + 53, what is x? (a) 6 (b) 14 (c) 13 (d) 12
  37. 37.If x/5 + 2 = 6, what is x? (a) 20 (b) 4 (c) 28 (d) 40
  38. 38.If x/5 + 6 = 9, what is x? (a) 3 (b) 39 (c) 75 (d) 15
  39. 39.If 7x + 28 = 63, what is x? (a) 5 (b) 13 (c) 35 (d) 6
  40. 40.If 7x + 9 = 2x + 19, what is x? (a) 2 (b) 4 (c) 1 (d) 3

Answer key

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

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