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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 246 · 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 − 45 = 33, what is x? (a) 13 (b) 78 (c) 12 (d) 14
  2. 2.If 9x + 25 = 160, what is x? (a) 15 (b) 135 (c) 16 (d) 14
  3. 3.If 3x + 5 = 2x + 17, what is x? (a) 14 (b) 12 (c) 22 (d) 13
  4. 4.If 5x + 25 = 35, what is x? (a) 2 (b) 3 (c) 12 (d) 10
  5. 5.If 8x + 11 = 27, what is x? (a) 3 (b) 16 (c) 1 (d) 2
  6. 6.If 3x + 20 = 59, what is x? (a) 12 (b) 13 (c) 39 (d) 14
  7. 7.If 9x − 34 = 2, what is x? (a) 36 (b) 5 (c) 3 (d) 4
  8. 8.If 9x + 30 = 84, what is x? (a) 7 (b) 6 (c) 5 (d) 54
  9. 9.If 3x + 12 = 24, what is x? (a) 3 (b) 4 (c) 12 (d) 5
  10. 10.If 3x − 2 = 7, what is x? (a) 4 (b) 2 (c) 9 (d) 3
  11. 11.If 5x + 25 = 95, what is x? (a) 14 (b) 70 (c) 15 (d) 24
  12. 12.If 4x + 15 = 3x + 18, what is x? (a) 4 (b) 5 (c) 33 (d) 3
  13. 13.If 4x + 1 = 3x + 7, what is x? (a) 6 (b) 7 (c) 5 (d) 8
  14. 14.If 9x + 5 = 8x + 6, what is x? (a) 3 (b) 1 (c) 2 (d) 11
  15. 15.If x/2 + 13 = 17, what is x? (a) 8 (b) 21 (c) 4 (d) 60
  16. 16.If 4x + 12 = 3x + 21, what is x? (a) 9 (b) 11 (c) 10 (d) 33
  17. 17.If x/4 + 15 = 20, what is x? (a) 5 (b) 65 (c) 20 (d) 140
  18. 18.If 6x − 2 = 10, what is x? (a) 3 (b) 1 (c) 12 (d) 2
  19. 19.If 3x + 30 = 72, what is x? (a) 34 (b) 15 (c) 42 (d) 14
  20. 20.If 4x − 2 = 6, what is x? (a) 2 (b) 3 (c) 8 (d) 1
  21. 21.If 4x − 39 = 5, what is x? (a) 44 (b) 12 (c) 10 (d) 11
  22. 22.If 9x + 27 = 135, what is x? (a) 18 (b) 12 (c) 13 (d) 108
  23. 23.If x/6 + 3 = 9, what is x? (a) 51 (b) 72 (c) 6 (d) 36
  24. 24.If 6x + 27 = 87, what is x? (a) 19 (b) 11 (c) 60 (d) 10
  25. 25.If 8x + 2 = 6x + 20, what is x? (a) 8 (b) 10 (c) 9 (d) 11
  26. 26.If 6x + 22 = 112, what is x? (a) 16 (b) 14 (c) 90 (d) 15
  27. 27.If 6x + 11 = 3x + 20, what is x? (a) 4 (b) 5 (c) 1 (d) 3
  28. 28.If 8x + 12 = 92, what is x? (a) 80 (b) 11 (c) 10 (d) 13
  29. 29.If 7x + 6 = x + 48, what is x? (a) 6 (b) 7 (c) 8 (d) 9
  30. 30.If x/3 + 3 = 10, what is x? (a) 21 (b) 39 (c) 27 (d) 7
  31. 31.If x/3 + 12 = 19, what is x? (a) 93 (b) 7 (c) 21 (d) 45
  32. 32.If 8x − 49 = 7, what is x? (a) 6 (b) 56 (c) 7 (d) 8
  33. 33.If 5x + 14 = 3x + 32, what is x? (a) 11 (b) 10 (c) 9 (d) 23
  34. 34.If 7x + 11 = 32, what is x? (a) 2 (b) 3 (c) 4 (d) 21
  35. 35.If 5x + 26 = 41, what is x? (a) 2 (b) 15 (c) 3 (d) 4
  36. 36.If 6x + 13 = 4x + 15, what is x? (a) 14 (b) 1 (c) 3 (d) 2
  37. 37.If 8x + 8 = 48, what is x? (a) 6 (b) 5 (c) 7 (d) 40
  38. 38.If 2x − 7 = 15, what is x? (a) 4 (b) 22 (c) 11 (d) 12
  39. 39.If 7x + 15 = 2x + 45, what is x? (a) 12 (b) 7 (c) 6 (d) 8
  40. 40.If 3x + 6 = 36, what is x? (a) 11 (b) 14 (c) 30 (d) 10

Answer key

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

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