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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 442 · 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 5x − 6 = 4, what is x? (a) 1 (b) 3 (c) 10 (d) 2
  2. 2.If 3x + 9 = x + 33, what is x? (a) 6 (b) 13 (c) 21 (d) 12
  3. 3.If x/6 + 7 = 16, what is x? (a) 54 (b) 138 (c) 9 (d) 89
  4. 4.If x/6 + 14 = 16, what is x? (a) 180 (b) 12 (c) 82 (d) 2
  5. 5.If 3x − 5 = 25, what is x? (a) 30 (b) 10 (c) 11 (d) 9
  6. 6.If x/2 + 8 = 14, what is x? (a) 12 (b) 44 (c) 6 (d) 20
  7. 7.If 8x + 13 = 69, what is x? (a) 8 (b) 6 (c) 7 (d) 56
  8. 8.If 8x + 13 = 7x + 17, what is x? (a) 5 (b) 6 (c) 4 (d) 30
  9. 9.If 3x − 3 = 3, what is x? (a) 3 (b) 1 (c) 6 (d) 2
  10. 10.If x/3 + 13 = 19, what is x? (a) 6 (b) 96 (c) 18 (d) 44
  11. 11.If 7x + 4 = 3x + 20, what is x? (a) 4 (b) 6 (c) 3 (d) 5
  12. 12.If x/2 + 10 = 15, what is x? (a) 50 (b) 5 (c) 20 (d) 10
  13. 13.If 5x + 13 = 78, what is x? (a) 65 (b) 14 (c) 12 (d) 13
  14. 14.If x/2 + 7 = 19, what is x? (a) 31 (b) 12 (c) 52 (d) 24
  15. 15.If 6x − 17 = 1, what is x? (a) 18 (b) 3 (c) 2 (d) 4
  16. 16.If x/4 + 3 = 6, what is x? (a) 21 (b) 3 (c) 12 (d) 36
  17. 17.If 5x + 13 = 3x + 27, what is x? (a) 7 (b) 9 (c) 20 (d) 8
  18. 18.If x/2 + 6 = 11, what is x? (a) 16 (b) 34 (c) 5 (d) 10
  19. 19.If 9x − 34 = 2, what is x? (a) 5 (b) 3 (c) 36 (d) 4
  20. 20.If 4x + 2 = x + 17, what is x? (a) 7 (b) 6 (c) 3 (d) 5
  21. 21.If 3x − 38 = 1, what is x? (a) 39 (b) 14 (c) 12 (d) 13
  22. 22.If x/3 + 14 = 19, what is x? (a) 15 (b) 99 (c) 43 (d) 5
  23. 23.If 3x + 3 = 18, what is x? (a) 15 (b) 6 (c) 5 (d) 7
  24. 24.If x/5 + 6 = 10, what is x? (a) 4 (b) 80 (c) 44 (d) 20
  25. 25.If x/5 + 8 = 20, what is x? (a) 92 (b) 12 (c) 140 (d) 60
  26. 26.If x/5 + 5 = 11, what is x? (a) 50 (b) 80 (c) 6 (d) 30
  27. 27.If 9x + 11 = 8x + 22, what is x? (a) 11 (b) 33 (c) 13 (d) 12
  28. 28.If 6x + 15 = 39, what is x? (a) 24 (b) 9 (c) 5 (d) 4
  29. 29.If 5x + 8 = 28, what is x? (a) 4 (b) 20 (c) 3 (d) 5
  30. 30.If 3x − 21 = 3, what is x? (a) 7 (b) 24 (c) 8 (d) 9
  31. 31.If 5x + 26 = 96, what is x? (a) 15 (b) 13 (c) 14 (d) 70
  32. 32.If 9x + 2 = 6x + 14, what is x? (a) 5 (b) 4 (c) 6 (d) 3
  33. 33.If 8x + 6 = 5x + 30, what is x? (a) 8 (b) 12 (c) 10 (d) 9
  34. 34.If 3x + 3 = 2x + 13, what is x? (a) 16 (b) 11 (c) 10 (d) 2
  35. 35.If x/5 + 1 = 10, what is x? (a) 45 (b) 55 (c) 49 (d) 9
  36. 36.If 2x − 10 = 2, what is x? (a) 12 (b) 6 (c) 7 (d) 5
  37. 37.If x/3 + 5 = 15, what is x? (a) 40 (b) 10 (c) 60 (d) 30
  38. 38.If 2x + 17 = 27, what is x? (a) 10 (b) 22 (c) 5 (d) 6
  39. 39.If 5x + 20 = 70, what is x? (a) 50 (b) 11 (c) 18 (d) 10
  40. 40.If 3x + 2 = 29, what is x? (a) 10 (b) 8 (c) 9 (d) 27

Answer key

  1. 2
  2. 12
  3. 54
  4. 12
  5. 10
  6. 12
  7. 7
  8. 4
  9. 2
  10. 18
  11. 4
  12. 10
  13. 13
  14. 24
  15. 3
  16. 12
  17. 7
  18. 10
  19. 4
  20. 5
  21. 13
  22. 15
  23. 5
  24. 20
  25. 60
  26. 30
  27. 11
  28. 4
  29. 4
  30. 8
  31. 14
  32. 4
  33. 8
  34. 10
  35. 45
  36. 6
  37. 30
  38. 5
  39. 10
  40. 9

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