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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 289 · 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 + 11 = x + 31, what is x? (a) 21 (b) 5 (c) 11 (d) 10
  2. 2.If x/3 + 2 = 4, what is x? (a) 18 (b) 6 (c) 2 (d) 10
  3. 3.If 7x + 12 = 61, what is x? (a) 7 (b) 8 (c) 49 (d) 6
  4. 4.If 8x + 8 = 64, what is x? (a) 7 (b) 56 (c) 8 (d) 9
  5. 5.If 4x + 6 = 34, what is x? (a) 8 (b) 10 (c) 28 (d) 7
  6. 6.If x/6 + 14 = 16, what is x? (a) 180 (b) 82 (c) 12 (d) 2
  7. 7.If x/6 + 8 = 11, what is x? (a) 114 (b) 58 (c) 18 (d) 3
  8. 8.If 2x − 4 = 6, what is x? (a) 1 (b) 10 (c) 5 (d) 6
  9. 9.If 8x − 19 = 21, what is x? (a) 4 (b) 5 (c) 40 (d) 6
  10. 10.If 5x + 3 = 58, what is x? (a) 11 (b) 10 (c) 12 (d) 55
  11. 11.If 3x + 16 = 52, what is x? (a) 13 (b) 12 (c) 11 (d) 36
  12. 12.If 6x − 32 = 4, what is x? (a) 7 (b) 5 (c) 36 (d) 6
  13. 13.If 8x + 12 = 3x + 52, what is x? (a) 9 (b) 10 (c) 8 (d) 7
  14. 14.If x/2 + 4 = 6, what is x? (a) 2 (b) 8 (c) 20 (d) 4
  15. 15.If x/3 + 15 = 17, what is x? (a) 96 (b) 2 (c) 6 (d) 36
  16. 16.If 6x + 3 = 5x + 4, what is x? (a) 3 (b) 2 (c) 1 (d) 7
  17. 17.If x/4 + 8 = 19, what is x? (a) 68 (b) 44 (c) 11 (d) 108
  18. 18.If x/4 + 10 = 13, what is x? (a) 92 (b) 3 (c) 42 (d) 12
  19. 19.If x/3 + 10 = 17, what is x? (a) 41 (b) 81 (c) 7 (d) 21
  20. 20.If 5x + 20 = x + 32, what is x? (a) 4 (b) 3 (c) 13 (d) 2
  21. 21.If 8x + 14 = 2x + 32, what is x? (a) 2 (b) 5 (c) 3 (d) 4
  22. 22.If 9x + 18 = 54, what is x? (a) 5 (b) 4 (c) 36 (d) 8
  23. 23.If 6x + 7 = 79, what is x? (a) 13 (b) 11 (c) 72 (d) 12
  24. 24.If 3x + 5 = 2x + 12, what is x? (a) 17 (b) 9 (c) 7 (d) 8
  25. 25.If 6x + 18 = 36, what is x? (a) 9 (b) 3 (c) 18 (d) 4
  26. 26.If 2x + 2 = 22, what is x? (a) 20 (b) 10 (c) 12 (d) 11
  27. 27.If 9x + 5 = 8x + 13, what is x? (a) 10 (b) 18 (c) 8 (d) 9
  28. 28.If x/2 + 4 = 10, what is x? (a) 6 (b) 28 (c) 12 (d) 16
  29. 29.If 3x + 11 = 20, what is x? (a) 3 (b) 2 (c) 4 (d) 9
  30. 30.If 5x + 29 = 94, what is x? (a) 13 (b) 14 (c) 12 (d) 65
  31. 31.If x/2 + 6 = 8, what is x? (a) 10 (b) 28 (c) 2 (d) 4
  32. 32.If 5x + 13 = 3x + 27, what is x? (a) 9 (b) 20 (c) 7 (d) 8
  33. 33.If 6x + 18 = 2x + 42, what is x? (a) 6 (b) 15 (c) 3 (d) 7
  34. 34.If 3x + 12 = x + 16, what is x? (a) 14 (b) 1 (c) 2 (d) 3
  35. 35.If 2x + 10 = 18, what is x? (a) 5 (b) 4 (c) 8 (d) 14
  36. 36.If x/3 + 5 = 11, what is x? (a) 28 (b) 6 (c) 18 (d) 48
  37. 37.If 6x + 29 = 59, what is x? (a) 6 (b) 4 (c) 30 (d) 5
  38. 38.If 3x − 17 = 16, what is x? (a) 11 (b) 10 (c) 12 (d) 33
  39. 39.If 4x + 12 = 64, what is x? (a) 14 (b) 13 (c) 52 (d) 19
  40. 40.If 4x + 5 = 33, what is x? (a) 6 (b) 7 (c) 28 (d) 8

Answer key

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

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