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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 140 · 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 − 19 = 53, what is x? (a) 72 (b) 11 (c) 13 (d) 12
  2. 2.If 6x + 4 = 16, what is x? (a) 2 (b) 12 (c) 1 (d) 3
  3. 3.If x/3 + 2 = 11, what is x? (a) 31 (b) 39 (c) 9 (d) 27
  4. 4.If 2x + 2 = 28, what is x? (a) 26 (b) 15 (c) 13 (d) 14
  5. 5.If 7x − 11 = 45, what is x? (a) 7 (b) 56 (c) 9 (d) 8
  6. 6.If 9x + 16 = 6x + 40, what is x? (a) 10 (b) 9 (c) 7 (d) 8
  7. 7.If 3x − 1 = 11, what is x? (a) 5 (b) 3 (c) 12 (d) 4
  8. 8.If 6x + 23 = 41, what is x? (a) 2 (b) 4 (c) 3 (d) 18
  9. 9.If 4x + 20 = 2x + 38, what is x? (a) 10 (b) 29 (c) 3 (d) 9
  10. 10.If 3x + 18 = x + 40, what is x? (a) 12 (b) 29 (c) 11 (d) 13
  11. 11.If 2x − 4 = 4, what is x? (a) 8 (b) 5 (c) 4 (d) 3
  12. 12.If x/3 + 10 = 16, what is x? (a) 18 (b) 78 (c) 6 (d) 38
  13. 13.If 4x − 4 = 8, what is x? (a) 1 (b) 12 (c) 4 (d) 3
  14. 14.If 7x + 8 = 71, what is x? (a) 9 (b) 10 (c) 8 (d) 63
  15. 15.If 9x − 30 = 15, what is x? (a) 6 (b) 45 (c) 4 (d) 5
  16. 16.If x/6 + 13 = 16, what is x? (a) 174 (b) 83 (c) 3 (d) 18
  17. 17.If 4x + 1 = x + 13, what is x? (a) 5 (b) 3 (c) 4 (d) 6
  18. 18.If 9x + 3 = 2x + 10, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  19. 19.If x/4 + 2 = 9, what is x? (a) 44 (b) 7 (c) 34 (d) 28
  20. 20.If x/6 + 11 = 18, what is x? (a) 7 (b) 97 (c) 42 (d) 174
  21. 21.If x/4 + 15 = 27, what is x? (a) 168 (b) 48 (c) 12 (d) 93
  22. 22.If 3x + 2 = x + 6, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  23. 23.If 6x + 5 = 4x + 13, what is x? (a) 6 (b) 4 (c) 9 (d) 5
  24. 24.If 7x − 6 = 15, what is x? (a) 3 (b) 21 (c) 4 (d) 2
  25. 25.If 5x + 15 = 3x + 39, what is x? (a) 27 (b) 13 (c) 12 (d) 3
  26. 26.If x/6 + 1 = 3, what is x? (a) 24 (b) 17 (c) 12 (d) 2
  27. 27.If x/6 + 1 = 6, what is x? (a) 35 (b) 42 (c) 30 (d) 5
  28. 28.If 4x + 4 = 28, what is x? (a) 8 (b) 7 (c) 6 (d) 24
  29. 29.If x/5 + 1 = 9, what is x? (a) 50 (b) 8 (c) 44 (d) 40
  30. 30.If x/5 + 4 = 10, what is x? (a) 46 (b) 30 (c) 70 (d) 6
  31. 31.If 7x + 12 = 103, what is x? (a) 91 (b) 12 (c) 13 (d) 14
  32. 32.If 6x − 7 = 11, what is x? (a) 18 (b) 4 (c) 3 (d) 2
  33. 33.If 6x + 12 = 3x + 18, what is x? (a) 4 (b) 10 (c) 2 (d) 3
  34. 34.If 8x + 11 = 123, what is x? (a) 13 (b) 112 (c) 15 (d) 14
  35. 35.If x/4 + 6 = 8, what is x? (a) 2 (b) 26 (c) 56 (d) 8
  36. 36.If 5x − 3 = 7, what is x? (a) 10 (b) 3 (c) 2 (d) 1
  37. 37.If x/6 + 5 = 17, what is x? (a) 97 (b) 132 (c) 72 (d) 12
  38. 38.If 5x + 12 = x + 36, what is x? (a) 4 (b) 7 (c) 12 (d) 6
  39. 39.If 8x + 6 = 22, what is x? (a) 1 (b) 2 (c) 3 (d) 16
  40. 40.If 6x − 61 = 29, what is x? (a) 16 (b) 14 (c) 90 (d) 15

Answer key

  1. 12
  2. 2
  3. 27
  4. 13
  5. 8
  6. 8
  7. 4
  8. 3
  9. 9
  10. 11
  11. 4
  12. 18
  13. 3
  14. 9
  15. 5
  16. 18
  17. 4
  18. 1
  19. 28
  20. 42
  21. 48
  22. 2
  23. 4
  24. 3
  25. 12
  26. 12
  27. 30
  28. 6
  29. 40
  30. 30
  31. 13
  32. 3
  33. 2
  34. 14
  35. 8
  36. 2
  37. 72
  38. 6
  39. 2
  40. 15

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